Solve for p.

p − 4
2
= 3

Answers

Answer 1

The value of p in the expression is 45

What is additive inverse?

Additive inverse simply means changing the sign of the number and adding it to the original number to get an answer equal to 0.

For example a+5 = 2 , by solving this we add the additive inverse of 5 to both sides. The additive inverse of 5 is -5

this means,

a+5-5 = 2-5

a = 2-5

a = -3

Similarly, p-42 = 3 is solved in the same way. we add the additive inverse of -42 which is +42 to both sides,

p-42+42 = 3+42

p = 3+42

p = 45

therefore the value of p is 45

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Related Questions

There are two spinners. The first spinner has three same-sized sectors labeled 1, 2, and 3. The second spinner has four same-sized sectors labeled 3, 4, 5, and 6. The spinners are spun once. How many outcomes do not show an odd number on the first spinner and show a 3 on the second spinner?

Answers

Answer:

The first spinner has a 1/3 chance of not showing an odd number, and the second spinner has a 1/4 chance of showing a 3. The probability of both events happening is:

1/3 x 1/4 = 1/12

Therefore, there is a 1/12 chance of an outcome showing a 3 on the second spinner and not showing an odd number on the first spinner. Since there are a total of 3 x 4 = 12 possible outcomes, the number of outcomes that meet the criteria is:

12 x 1/12 = 1

So there is only one outcome that meets the criteria.

Imagine that two friends, Lola and Joni, each buy an iPod touch for $400, and pay with a credit card. When this happens, the credit card company pays Apple, and the friends become indebted to the credit card company. For every year they don't pay back the debt, the company charges them interest: a percentage of what they owe. The interest rate is called an annual percentage rate (APR), while the amount owed is called a balance.

Calculate how much each person would owe over time if neither made any payments to the credit card company, assuming interest is calculated once per year.

Balance after...
Person: APR 0 years 1 years 2 years 3 years 6 years
Lola 6%:
Joni 36%

In reality, credit card companies don't charge interest every year, they charge interest every month. To determine the monthly interest rate, divide the APR by 12.

Lola has an annual rate of 6%. So Lola has a monthly rate of
0.5%
Joni has an annual rate of 36%. So Joni B has a monthly rate of:
3%

Given that both Lola and Joni charge $400 initially calculate how much each person would owe over time if neither made any payments to the credit card company, assuming interest is compounded monthly.

Balance after...
Person: APR 0 years 1 years 2 years 3 years 6 years
Lola 6%
Joni 36%


Do you think it matters how often credit card companies charge interest? Explain.
Yes it matters because the more often they calculate the interest the higher the amount goes.

If neither friend made any payments for 10 years, how much would the $400 iPod end up costing in total (with monthly compounding)?

Lola's total cost (balance after 10 years): $

Joni's total cost (balance after 10 years): $

Answers

Amy's total cost: $697.26

Mackenzie's total cost: $11904.62

How to solve

Amount = P = 340

Amy's interest rate = ra = 6% = 0.06

Mackenzie's interest rate = rm = 30% = 0.3

Amount is compounded yearly.

Amount at the end of the year is calulated as

Pn= P(1+r)

We will use Excel to fill given table

Person APR 0 1 2 3 6

Amy 6% 340.00 360.40 382.02 404.95 482.30

Mackenzie 30% 340.00 442.00 574.60 746.98 1641.12

Amy has an annual rate of 6%. So Amy has a monthly rate of 6 /12 = 0.5% = 0.005

Mackenzie has an annual rate of 30%. So Mackenzie has a monthly rate of 30/12 = 2.5% = 0.025

Pn= P(1+r)

Here will be replaced by a number of months and r is relaced by monthly interest rate

We can modified this formula as

12n

Pn= P(1+)

Where n and r is same as in first part of question.

We will use excel to fill given table

Person APR 0 1 2 3 6

Amy 6% 340.00 360.97 383.23 406.87 486.90

Mackenzie 30% 340.00 457.26 614.97 827.06 2011.86

From the above two tables, it is clear that it does matter how the company charges interest. When compounded monthly, the amount will more as compared to when compounded yearly. So,

Yes it matters because the more often they calculate the interest the higher the amount goes.

If neither friend made any payments for 12 years, we can add one more column to calculate for n = 12.

Amy's total cost: $697.26

Mackenzie's total cost: $11904.62

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Suppose you are 5 feet 2 inches tall. Give your height in meters and centimeters

Answers

5’2 to cm=157.48cm
5’2 to m=1.58496m

Find the slope of the line with a y-intercept = 4, passing through the point (2,8)

Answers

Answer:

8 = 2m + 4

2m = 4, so m = 2

So the equation of this line is y = 2x + 4.

D is the correct answer.

The following table shows students’ test scores on the first two tests in an introductory calculus class.

Calculus Test Scores
First test, x 64
59
45
73
73
76
40
56
68
55
78
83
Second test, y 68
63
55
74
68
75
43
64
61
64
77
84

Step 2 of 2 : If a student scored a 69
on his first test, make a prediction for his score on the second test. Assume the regression equation is appropriate for prediction. Round your answer to two decimal places, if necessary.

Answers

if a student scored a 69 on his first test, predict that his score on the second test will be approximately 64.57.

Students’ test scores on the first two tests in an introductory calculus class.

To make a prediction for the student's score on the second test based on their score of 69 on the first test, we need to find the regression equation for the data set.

The regression equation for these data is

y = 0.6443x + 19.943

Where y is the predicted score on the second test and x is the actual score on the first test.

Substituting x = 69 into this equation, we get

y = 0.6443(69) + 19.943 ≈ 64.57

Therefore, if a student scored a 69 on his first test, we predict that his score on the second test will be approximately 64.57.

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The estimated population of a certain city over time is given in the table below. Answer the questions below to explain what kind of function would better model the data, linear or exponential.
Number of Years Since Last Census, x
1
2
3
4
Estimated Population, f(x)
66,118
77,212
88,340
99,535


function would better model the data because as x increases, the y values change
. The
of this function is approximately
.

Answers

The linear function is the more appropriate function that has to be used here.

How to use the linear function

To determine which type of function better models the data, we can analyze the difference in the y values (Estimated Population) as x increases.

Differences between consecutive y values:

77,212 - 66,118 = 11,094

88,340 - 77,212 = 11,128

99,535 - 88,340 = 11,195

The differences between consecutive y values are relatively constant as x increases.

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Three fourths of the girls in the eighth grade have long hair. One half of the girls are wearing dresses today. What is the probability that an eighth grade girl will have long hair and be wearing a dress?

Answers

The probability that an eighth-grade girl will have long hair and be wearing a dress is 3/8 or 0.375, which is the same thing expressed as a decimal.

what is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.

To solve the problem, we need to find the intersection of the events "having long hair" and "wearing a dress" and calculate the probability of that intersection.

Let L be the event "having long hair" and D be the event "wearing a dress". Then we know:

P(L) = 3/4, since three-fourths of the girls have long hair.

P(D) = 1/2, since half of the girls are wearing dresses.

To find P(L ∩ D), we need to multiply the probabilities of the two events:

P(L ∩ D) = P(L) × P(D) = (3/4) × (1/2) = 3/8

Therefore, the probability that an eighth grade girl will have long hair and be wearing a dress is 3/8 or 0.375, which is the same thing expressed as a decimal.

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Ocarolyn and Abby
went camping and
caught a total of a fish.
How many fish
weighed 8 1/4 pounds
or less?
XX
XX
X X
x+
XX-
X
8 8
8
8 9
Weight of Fish in Pounds
1

Answers

Based on the given information, it appears that there were 11 fish caught in total. To determine how many of these fish weighed 8 1/4 pounds or less, we need to count the number of X's in the table that fall under the weight category of 8 1/4 pounds or less.

Counting the X's, we see that there are 8 fish that weigh 8 1/4 pounds or less. Therefore, Ocarolyn and Abby caught 8 fish that weighed 8 1/4 pounds or less.

3 The circles in the model represent positive and negative units.
O O O
оо
Which equation is true based on the model?
A (-3) + 5 = -2
B (-3) + 5 = 2
C -3+ (-5) = -2
D 3+ (-5) = 2
KEY
= 1
=-1

Answers

The equation is true based on the model is B) (-3) + 5 = 2.

If we consider the circles on the left as negative units and the circles on the right as positive units.

Then we can see that there are 5 positive units and 3 negative units, so the sum is

= 5 - 3

= 2.

Therefore, the correct equation is: B) (-3) + 5 = 2.

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Calculate, to the nearest cent, the Present Value of an investment that will be worth $1,000 at the stated interest rate after the stated amount of time.
3 years, at 1.3% per year, compounded weekly (52 times per year).

PV=?

Answers

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 1000\\ P=\textit{original amount deposited}\\ r=rate\to 1.3\%\to \frac{1.3}{100}\dotfill &0.013\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{weekly, thus fifty two} \end{array}\dotfill &52\\ t=years\dotfill &3 \end{cases}[/tex]

[tex]1000 = P\left(1+\frac{0.013}{52}\right)^{52\cdot 3} \implies 1000=P(1.00025)^{156} \\\\\\ \cfrac{1000}{(1.00025)^{156}}=P\implies 961.76\approx P[/tex]

A company knows that 32% of their customers order their product in Black and 26% in White and 22% in Grey.

2 orders are made, Find the probability that at least 1 is Grey.

Answers

To find the probability that at least 1 order is Grey, we can use the complement rule, which states that the probability of an event occurring is equal to 1 minus the probability of the event not occurring.

The probability that neither order is Grey is equal to the probability that both orders are not Grey. We can calculate this probability by multiplying the probabilities of both orders not being Grey:

P(both not Grey) = (1 - 0.22) x (1 - 0.22) = 0.64

Therefore, the probability that at least 1 order is Grey is:

P(at least 1 Grey) = 1 - P(both not Grey) = 1 - 0.64 = 0.36

So the probability that at least 1 order is Grey is 0.36, or 36%.

ACTIVITY 1: Solve the following rational equation.

Answers

The solutions to the rational equations are

(1) x = 14/3 (2) x = -2/3 (3) x = 4(4) x = 0 or x = 3(5) x = 0 or x = -2(6) x = 4/5(7) x = √(17/5)(8) x = 11/9(9) x = -1 or x = 2 (10) x = 1 or x = 2

Solving the rational equations

The rational equations can be solved as follows

(1)

(x - 2)/(2x + 4) = 1/5

This gives

5x - 10 = 2x + 4

So, we have

3x = 14

x = 14/3

(2)

For equation (2), we have

(x + 3)/2 - x/4 = 4/3

So, we have

[2(x + 3) - x]/4 = 4/3

[x + 6]/4 = 4/3

So, we have

3x + 18 = 16

x = -2/3

(3)

For equation (3), we have

3/(x + 1) - 2/(x - 1) = 1/(x² - 1)

So, we have

3(x - 1) - 2(x + 1) = 1

This gives

3x - 3 - 2x - 2 = 1

x = 4

(4)

For equation (4), we have

18/(x² - 3x) = 2x/(x - 3) - 6/x

So, we have

18 = 2x² - 6(x - 3)

This gives

x = 0 or x = 3

(5)

For equation (5), we have

3x/(x + 2) + 6/x + 4 = 12/(x² + 2x)

Multiiply through by x² + 2x

3x² + 6(x + 2) + 4(x² + 2x) = 12

Evaluate

x = 0 or x = -2

(6)

For equation (6), we have

1/(x - 2) + 4/(x + 9) = 3/(x² + 7x - 18)

Multiiply through by (x² + 7x - 18)

x - 9 + 4x + 8 = 3

So, we have

5x = 4

Evaluate

x = 4/5

(7)

For equation (7), we have

3/5x² - 1/5 = 2/25x²

Multiiply through by 25x²

15 - 5x² = 2

So, we have

5x² = 17

Evaluate

x = √(17/5)

(8)

For equation (8), we have

9/(x + 1) = 2/(x² - 1)

Multiiply through by 25x²

9x - 9 = 2

So, we have

9x = 11

Evaluate

x = 11/9

(9)

For equation (9), we have

3/(x³ - 8) = 1/(x - 2)

Cross multiiply

(x³ - 8) = 3(x - 2)

Evaluate

x = -1 and x = 2

(10)

For equation (10), we have

x²/2 - 3x/2 + 1 = 0

Multiiply through by 2

x² - 3x + 2 = 0

Factoize

(x - 1)(x - 2) = 0

So, we have

x = 1 and x = 2

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what does scaled version mean in this case its 3:5 scaled version but i just want to know what it means i dont care about answers il give brainliest !

Answers

A 3:5 scaled version means that the dimensions of the new version are proportional to the original dimensions in a ratio of 3:5.

What does a scaled version mean?

A scaled version is a version of a shape where every size in the original shape is multiplied by the same number.

In this situation, a 3:5 scaled version means that the dimensions (or sizes) of the new version are proportional to the original dimensions in a ratio of 3:5.

For example, if we have a circle with radius 20 cm, we can create a 3:5 scaled version by multiplying the radius by the ratio 3/5. That is:

scaled version radius = 3/5 * 20 = 12 cm

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Help please!!!!
Whoever answers right gets brainliest!

Answers

Answer:

its 112.7

Step-by-step explanation:

x+2x=3x. 3x = 338

divide 3x and 338 by 3 three is cancelled and x equals to 112.7

Answer:

[tex]\sf x=13.[/tex]

Step-by-step explanation:

1. Formula for area.

Assuming that the canvas has a standard rectangle shape, the area should be given by: [tex]\sf A= bh[/tex], where "b" is the base length of the rectangle, and "h" its heignt.

2. Form an equation.

We're told that the canvas is "x" inches wide, and that the length of it is "twice as long as the width", thus it is "2x". Now, let's take width as the base, and length as the height.

Since the formula for area is just a product between width and length, and those values are "x" and "2x", respectively, the formula for the area of this canvas is:

[tex]\sf (x)(2x)=338(in^{2} )[/tex]

3. Solve the equation.

a) Solve the product.

[tex]\sf (x)(2x)=338(in^{2} )\\ \\\sf 2x^{2} =338(in^{2} )[/tex]

b) Divide by "2" on both sides of the equation.

[tex]\sf \dfrac{2x^{2}}{2} =\dfrac{338(in^{2} )}{2} \\ \\x^{2} =169[/tex]

c) Take the square root of both sides.

[tex]\sf \sqrt{x^{2}} =\sqrt{169} \\ \\x=13[/tex]

4) Final answer.

[tex]\sf x=13.[/tex]

-------------------------------------------------------------------------------------------------------  

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A triangle with area 184 square inches has a height that is two less than six times the width. Find the height and the width of the triangle.

Answers

The height of the triangle is √(115) - 1 inches and the width is (1 + √(115)) / 6 inches.

Let's begin by assigning variables to the height and width of the triangle. We'll use h for height and w for width.

From the problem statement, we know that the area of the triangle is 184 square inches:

Area = (1/2) * base * height

where the base is equal to the width. We can rearrange this formula to solve for the height:

height = 2 * Area / base

Since the area is given as 184 square inches and the base is equal to the width, we can write:

h = 2 * 184 / w

We also know that the height is two less than six times the width. Writing this as an equation, we have:

h = 6w - 2

Now we can substitute the expression for h from the second equation into the first equation:

2 * 184 / w = 6w - 2

Multiplying both sides by w gives:

2 * 184 = w * (6w - 2)

Expanding the right side gives:

2 * 184 = 6w² - 2w

Simplifying further gives:

6w² - 2w - 368 = 0

This is a quadratic equation that we can solve using the quadratic formula:

w = (-b ± √(b² - 4ac)) / 2a

where a = 6, b = -2, and c = -368. Plugging in these values gives:

w = (2 ± √(2² - 4 * 6 * (-368))) / 2(6)

Simplifying further gives:

w = (1 ± √(115)) / 6

Taking the positive value gives:

w = (1 + √(115)) / 6

Plugging this value back into either equation for h gives:

h = 6w - 2 = 6((1 + √(115)) / 6) - 2 = 1 + √(115) - 2 = √(115) - 1

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An accountant drives 50 miles a day to work. Write an expression that represents the total number of miles he drives after x days

Answers

the answer would be 50(x)

Answer:

It is 50x or 50*x or 50(x).

A turtle lives in a garden and a hedgehog lives in the woods. They leave their homes at the same time, walk toward each other, and meet in 5 hours. The turtle walks 10 meters per hour slower than the hedgehog. It the turtle had left home 4.5 hours earlier than the hedgehog, the two have me 150/ from the hedgehog's house. Find the distance between the garden and the woods.

Answers

If a turtle lives in a garden and a hedgehog lives in the woods. The distance between the garden and the woods is 450m.

How to find the distance?

Let d represent the distance between the turtle's garden and the hedgehog's wood

Let h represent the  speed of the hedgehog

Let the  turtle's speed = h-10

Le the time it takes for the hedgehog to walk from the woods to the meeting point= t

Set up two equations

d = (h-10)(t+4.5) + ht (Equation 1)

d - 150 = ht (Equation 2)

Solve for d by substituting equation 2 into equation 1:

ht + (h-10)(t+4.5) = ht + 150

(h-10)t + 45h = 150

t = (150 - 45h) / (h-10)

Substitute t into equation 2:

d = ht + 150 - (h-10)(t+4.5)

d = h(150 - 45h)/(h-10) + 150 - (h-10)(45h/(h-10) + 4.5)

d = 2250/(h-10) (distance between the garden and the woods)

Since the turtle and hedgehog meet in 5 hours

Thus,

d = ( h-10 ) (5) + h( 5- 4.5 )

d = 5h - 25

Substitute

5h - 25 = 2250/(h-10)

Multiplying both sides by h-10

5h² - 75h + 250 = 0

Dividing both sides by 5

h²- 15h + 50 = 0

Using the quadratic formula

h = (15 ± sqrt(15^2 - 4(1)(50))) / (2*1)

h = (15 ± 5) / 2

So,

h = 10 or h = 5

Distance between the garden and the woods :

d = 2250/(h-10)

d= 2250/(5-10)

= 450 meters

Therefore the distance is 450m.

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True or False

This is a Quadratic Equation y=5x+2

Answers

The equation is not a quadratic equation. Statement is false.

What is quadratic equation ?

A second-order polynomial equation with just one variable, x, is referred to as a quadratic equation. with a ≠ 0 . The fundamental theorem of algebra guarantees that it has at least one solution since it is a second-order polynomial equation. The arrangement might be genuine or complex.

According to question:

This is a linear equation in the form y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is 5 and the y-intercept is 2. A quadratic equation is an equation in the form y = ax^2 + bx + c, where a, b, and c are constants and x is the variable.

Thus, given equation is not a quadratic equation. Statement is false.

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Please help me with this

Answers

a)There is higher variability of Y with larger values of X.

b) There is non linear relation between X and Y.

a) Based on the given figure, we can make the following observations:

The scatterplot shows an upward trend, indicating a positive relationship between X and Y.The points appear to be spread out in a fan-like shape, suggesting increasing variability of Y with larger values of X. This means that as X increases, the values of Y become more spread out.The scatterplot does not provide clear information about the variability of X with larger values of Y.

Therefore, the correct statement is There is higher variability of Y with larger values of X.

b) Based on the features, it is likely that a linear model may not be suitable for these data, and a non-linear model or other regression techniques may be more appropriate to capture the relationship between X and Y accurately.

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How much would you need to deposit in an account now in order to have $2000 in the account in 15years? Assume the account earns 7% interest compounded monthly.

Answers

Answer:

To calculate the amount you would need to deposit in the account now, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

where A is the amount you will have after 15 years, P is the principal amount (the amount you need to deposit now), r is the annual interest rate (7%), n is the number of times the interest is compounded per year (12 for monthly compounding), and t is the time in years (15).

Plugging in the values, we get:

2000 = P(1 + 0.07/12)^(12*15)

Simplifying the right side, we get:

2000 = P(1.00583)^180

Dividing both sides by (1.00583)^180, we get:

P = 2000 / (1.00583)^180

P = $775.80 (rounded to the nearest cent)

Therefore, to have $2000 in the account in 15 years with an annual interest rate of 7% compounded monthly, you would need to deposit $775.80 now.

The Question is inside of the picture

Answers

Answer:

it is the opposite way around

Step-by-step explanation:

-3x+6y-2z=5 7x+2y+9z=19 -x+y-z=0

Answers

Answer:

x =  7, y = 3, z = -4

Step-by-step explanation:

Select the correct answer from each drop-down menu. f(x) = x2 − 8x + 15 g(x) = x − 3 h(x) = f(x) ÷ g(x) h(x) = . The domain of h(x) is U .

Answers

Answer:

f(x) = x²-8x+15

g(x) = x -3

h(x) = f(x) ÷ g(x)

= x²-8x+15 ÷ x-3

x-3√x²- 8x +15 | x-5

x² - 3x

-5x + 15

- 5x + 15

-----------

h(x) = x-5

Jamal is planning a conference. A local hotel rents a ballroom for $620 and charges $35 per guest for food.
Step 2 of 5: Determine the total charge if 138 guests attend the conference.

Answers

The total charge if 138 guests attend the conference is $5450

Determining the total charge if 138 guests attend the conference.

From the question, we have the following parameters that can be used in our computation:

A local hotel rents a ballroom for $620 And charges $35 per guest for food.

Using the above as a guide, we have the following:

Total = ballroom + food * number of guests

Substitute the known values in the above equation, so, we have the following representation

Total = 620 + 35 * 138

Evaluate

Total = 5450

Hence, the total charges is $5450

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pleaseeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

congruent to each other cause their measurements are same.

congruent means if 2 shapes have same measurements they are called congruent

Compare these distributions.
Both distributions of exam scores are and there are clear outlier(s) in each distribution of exam scores.
The center of the distribution of exam scores earned by students who completed homework is the center of the distribution of exam scores earned by students who did not complete homework.
The variability in scores of those who completed homework is that of the students who did not complete homework.

Answers

The comparison data is shown below.

Based on the information provided, we can infer that:

Both distributions have outliers.The center of the distribution of exam scores is the same for both groups, meaning that the average score of students who completed homework is the same as the average score of students who did not complete homework.The variability (spread) of exam scores of those who completed homework is the same as the variability of exam scores of those who did not complete homework.

Without more information about the specific data and the context of the study, it is difficult to make further comparisons or draw any conclusions about the relationship between completing homework and exam scores. However, it is interesting to note that completing homework did not seem to have an impact on the average exam score or the variability of exam scores.

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please help me quick! here is screenshot algebra

Answers

The function that is even is f(x) = 6x² - 8.

option C.

What is an even function?

An even function is a function that satisfies the condition f(-x) = f(x) for all values of x in its domain. In other words, an even function is symmetric with respect to the y-axis.

The function that is even is calculated as follows;

f(x) = 5x² - x

f(-x) = 5(-x)² - (-x)

f(-x) = 5x² + x

f(x) ≠ f(-x)

f(x) = 3x³ + x

f(-x) = 3(-x)³ + (-x)

f(-x) = -3x³ - x

f(x) ≠ f(-x)

f(x) = 6x² - 8

f(-x) = 6(-x)² - 8

f(-x) = 6x² - 8

so f(x) = f(-x), this function is even.

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what number is 8% larger than 230

Answers

Answer:

That number is 230 × 1.08 = 248.4.

To find this number, we calculated 8% of 230, which is 18.4 , and then added it to 230, Hence The number that is 8% larger than 230 is 248.4.

How to solve for the number

To find a number that is 8% larger than 230, we can calculate the 8% increase of 230 and add it to the original number.

Step 1: Calculate the 8% increase of 230:

8% of 230 = (8/100) * 230 = 0.08 * 230 = 18.4

Step 2: Add the 8% increase to 230:

230 + 18.4 = 248.4

Therefore, a number that is 8% larger than 230 is 248.4.

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Is it an integer?

19/20 - yes or no
32/4 - yes or no
74 - yes or no
23 - yes or no
5.95 - yes or no

Answers

Answer:

19/20--no

32/4--yes (32/4 = 8)

74--yes

23--yes

5.95--no

what is the range of the data set

Answers

Answer: Range = 9.
Explanation: To find the range in a data set, you have to subtract the largest value by the smallest value. In this case, it will be 41 (lowest value) subtracted from 50. Your answer for 50 - 41 should be 9. Hope that helps!

Answer: 9

Step-by-step explanation:

Range = maximum number - minimum number (in a data set)

50-41 = 9 minutes

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