If f(x) = 2x - 3 and g(x) = x^2 + 3, what is f(x) - g(x)?

Answer:

11

Step-by-step explanation:

33.45 ÷ 3 = 11.15 but round it

(im not 100% sure but I hope this helps)

Answer:

154 square units

Step-by-step explanation:

To find the area of a trapezoid, we need to:  [tex](a+b)\frac{h}{2}[/tex] , a and b being 17 and 5 in this case. h is 14. Substitute the variables and there you have it!

Answer:

27

Step-by-step explanation:

(9)to the 2 power is 81

81/3=27

Answer:  27

(n)^2/3      if n=9

Step-by-step explanation:

first, you do 9*9=81

secound, you put 81/3

third, then you divide 81/3=27

the answer is 27

uquzas prguntale ea otroi

Answer:

3 stacks of 4 reams= 12 reams

Each ream weighs 5 pounds so reducing 10 pounds means removing 2 reams from the 12.

First option is 5+5= 2 stacks of 5/5 reams.

2 stacks of 5 each would be easy to carry. provided the stacks should be placed parallel to each other  which would increase the length making it comparatively longer. its easier to hold a (2*8, 11, 2*5 = 17, 11, 17) compact box

Second option is 2+3+3+2 = 4 stacks of  2/3/3/2 reams

Third option is  3+4+3= 3 stacks of 3/4/3 reams

Answer:

Step-by-step explanation:

PLEASE MARK BRAINLY

Answer:

Step-by-step explanation:

y = 5x

Answer:

8 x 6 x 4 = 192

Step-by-step explanation:

Volume is l x w x h

Answer:

The answer is 192 inches cubed.

Step-by-step explanation:

The formula to solve the volume of a 3-D shape is length times width times height.  So you would multiply 8 times 6 times 4. Then you just add the descriptions.

Step-by-step explanation:

is there any diagram included about this question

Answer:

A = 2 (on the left). 10 (on the right)

Step-by-step explanation:

Use pythgaros therom

Do 7^2 - 3^2 = 40

Do square root of 40 which equals the answer

Answer:

D)She may not be correct because means cannot be determined from Box plots.

Step-by-step explanation:

Box plot -Boxplot is a way to show the spread and centers of a data setboxplot and also called a box and whisker plot,

Box plot tells us about :

1) Mininmum value

2) 25th Percentile value

3)Median

4) 75th Percentile value

5)Maximum value

6) Interquartile Range

Now we are given that By looking at the plots, Beth says that the two means are about 5 years apart.

So,Option D is true

She may not be correct because means cannot be determined from Box plots.

Answer:

She may not be correct because means cannot be determined from the box plots

Step-by-step explanation:

Answer:

18y=15mx/m

Step-by-step explanation:

that's the set up

The width of the room is equal to 6 m

The formula for area is equal to the product of the length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides.

Given here: Perimeter=36 m

Let the length of the room be 2x and width of the room be x

Then we have (2x+x)=36

                             x=12

Thus length =12m & width=6 m

Hence, the width of the room is equal to 6 m

Learn more about the perimeter here:

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Answer:

$9,000.00 is her original investment worth in 10 yrs.

5000 x 1.08 ^10 = 10794.6249864

Then subtract -500000 = 5794.62498636

Step-by-step explanation:

Why, because the first year is proved 5000 x 0.08 = 400

= 400 year 1 but cna keep only if stays in investment for 10 years

400 x 10 = 4000 interest on investment

5000+ 4000 = $9,000.00 SI

+ 1,794.62 Interest on interest if applies (this is called CI) and makes $10794.62

The perimeter of rectangle is 10x-2

please see the attached picture for full solution

Hope it helps

Good luck on your assignment...

Answer:

10x-2

Step-by-step explanation:

We know the length is 3x-1. There are two lengths in a rectangle. Therefore, we multiply 3x-1 by 2 to get 6x-2. That is the sum of the two lengths.

Now for the width. Just as with the length there are two widths in a rectangle. After multiplying 2x by 2, we get 4x.  That is the sum of the two widths.

To get the perimeter, we need to add both the lengths and both the widths together. Using what we did before, we add 4x + 6x - 2 to get 10x - 2 Hope this helps :)

Answer:

Six people read more than 2 books.

Step-by-step explanation:

Hope that helps

Answer:

Step-by-step explanation:

A right angled triangle is made of three sides with the longest side being the hypotenuse. According to pythagoras theorem;

[tex]hyp^{2} = adj^{2}+opp^{2}[/tex]

Given hypotenuse = [tex]\sqrt{87}[/tex] and another side = [tex]\sqrt{23}[/tex], the third side can be gotten according to the formula above. On substituting;

[tex](\sqrt{87} )^{2} = (\sqrt{23} )^{2} + x ^{2} \\x^{2} = (\sqrt{87} )^{2} - (\sqrt{23} )^{2}\\x^{2} = 87-23\\x^{2} = 64\\x =\sqrt{64}\\ x = 8[/tex]

The length of the unknown leg in the right triangle is 8

Answer:

a. 8 yd

Step-by-step explanation:

Hypotenuse = [tex]\sqrt{87}[/tex]

Length = [tex]\sqrt{23}[/tex]

x² + ([tex]\sqrt{23}[/tex])² = ([tex]\sqrt{87}[/tex])²

x² = ([tex]\sqrt{87}[/tex])² - ([tex]\sqrt{23}[/tex])²

x² = 87 - 23

x² = 64

[tex]\sqrt{x}[/tex]² = [tex]\sqrt{64}[/tex]

x = 8 yd

Answer:

1. -3x² × 3x × 2x³ × x⁵

= (-3×3×2) x^2+1+3+5

= -18x¹¹

2. [3×(-1)×(-1)] n^2+2+3

= 3n⁷

3.[-0.5×2×(-1)] x^3+5+1

= x⁹

4.[-2×(-1)×(-1)] s^2+3+4

= -2s⁹

5.[-6×1×(-1)] v^8+5+1

= 6v¹⁴

6.[1/2×(-1)×6] p^2+3+1

= -3p⁶

7.[-2/3×(-1/2)×(-4)×(-6)] b^2+3+4+1

= 8b¹⁰

Answer:

20x^2 +19x - 60

Step-by-step explanation:

3x( 4x+5) -4 (-x-3) (2x -5)

Distribute

12x^2 +15x - 4 (-x-3) (2x -5)

FOIL

12x^2 +15x - 4( -2x^2 -6x +5x +15)

12x^2 +15x - 4( -2x^2 -x +15)

Distribute

12x^2 +15x +8x^2 +4x -60

Combine like terms

20x^2 +19x - 60

Answer:

20x ^2 + 19x -60

Step-by-step explanation:

12345678910121314151617181920

Answer:

Step-by-step explanation:

Confidence interval is written as

Sample proportion ± margin of error

Margin of error = z × √pq/n

Where

z represents the z score corresponding to the confidence level

p = sample proportion. It also means probability of success

q = probability of failure

q = 1 - p

p = x/n

Where

n represents the number of samples

x represents the number of success

From the information given,

n = 700

x = 46

p = 46/700 = 0.066

q = 1 - 0.066 = 0.934

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.9 = 0.1

α/2 = 0.1/2 = 0.05

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.05 = 0.95

The z score corresponding to the area on the z table is 1.645. Thus, the z score for a confidence level of 90% is 1.645

Therefore, the 90% confidence interval is

0.066 ± 1.645√(0.066)(0.934)/700

= 0.066 ± 0.0094

The lower limit of the confidence interval is

0.066 - 0.0094 = 0.0566

The upper limit of the confidence interval is

0.066 + 0.0094 = 0.0754

Answer:

(0.0503, 0.0811).

Step-by-step explanation:

The confidence interval for the unknown population proportion p is (p^−z⋆p^(1−p^)n−−−−−−−−√,p^−z⋆p^(1−p^)n−−−−−−−−√). The confidence interval can be calculated using Excel.

1. Identify α. Click on cell A1 and enter =1−0.90 and press ENTER.

2. Thus, α=0.1. Enter the number of successes, x=46, and sample size, n=700, in the Excel sheet in cells A2 and A3. To find the proportion of successes, p^, click on cell A4 and enter =A2/A3 and press ENTER.

3. Thus, p^≈0.0657. Use the NORM.S.INV function in Excel to find z⋆. Click on cell A5, enter =NORM.S.INV(1−A1/2), and press ENTER.

4. The answer for z⋆, rounded to two decimal places, is z⋆≈1.64. To calculate the standard error, p^(1−p^)n−−−−−−−−√, click on cell A6 and enter =SQRT(A4∗(1−A4)/A3) and press ENTER.

5. The answer for the standard error, rounded to four decimal places, is p^(1−p^)n−−−−−−−−√≈0.0094. To calculate the margin of error, z⋆p^(1−p^)n−−−−−−−−√, click on cell A7 and enter =A5*A6 and press ENTER.

6. The answer for the margin of error, rounded to four decimal places, is z⋆p^(1−p^)n−−−−−−−−√≈0.0154. The confidence interval for the population proportion has a lower limit of A4−A7=0.0503 and an upper limit of A4+A7=0.0811. Thus, the 90% confidence interval for the population proportion of people in the region who would order calzones if they were on the menu, based on this sample, is approximately (0.0503, 0.0811).

Answer:

The length of the actual tractor is:

Step-by-step explanation:

Firstly, you must know the conversión between inches and feet:

Or

How the paragraph says that the scale is 1 to 64, it means by each unit in the scale, the unit in the actual tractor is 64 times bigger, so, you must multiply the measure of the model by 64 to obtain the actual length in inches:

The paragraph says the length must be in feet, so we must apply the conversion given above in a simple rule of three how I'll show below:

And we operate:

After we cancel the unit "inches:"

For this reason, we obtain the final value of 56 feet to the actual length of the tractor.  

Answer:

Option C is the correct answer.

Step-by-step explanation:

Given:

The coordinates of the point A and B are (-5,-1) and (4,1)

The point P on the directed line segment from A to B such that P is One-fourth the length of the line segment from A to B.

Thus, we have;

m=1 and m+n=4

We need to determine the coordinates of the point P(x,y)

x - coordinates of the point P:

The x - coordinates of the point P can be determined using the formula

x=(m/m+n)(x₂ - x₁)+ x₁

Substituting the values, we get;

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

x = 9/4-5

x = -11/4

Thus, the x - coordinate of the point P is -11/4

y - coordinate of the point P:

The y - coordinate of the point P can be determined using the formula,

y=(m/m+n)(y₂ - y₁)+ y₁

Substituting the values, we get;

y= 1/4(1+1)-1

y = 2/4-1

y= -2/4

y= -1/2

Thus, the y - coordinate of the point P is -1/2

Therefore, the coordinates of the point P is (-11/4, -1/2)

Hence, Option C is the correct answer.

please mark me brainliest!

Answer:

C

Step-by-step explanation:

I just did it on edge

Answer:

Simplified equation: 25 - 16=9

Step-by-step explanation:

Evaluate the power

25 - 4 * 4

Multiply the numbers

25 - 16

Subtract the numbers

9

Answer:

Below.

Step-by-step explanation:

[tex]y=x^2[/tex] is also [tex]y = x*x[/tex]

It will differ for any x besides 1 and 0 because you're multiplying x by itself, which makes the answer greater.

But, it's the same for 1 and 0 because they equal each other when you square them.

Answer:

Percent increase : 20%  

Step-by-step explanation: First month: 4,264 phone calls.

Second month: 25% more phone calls than in the first month.

To know the total phone calls received during this month you must take 25% of 4,264 and then add it to the 4,264 call of the first month:

4,264*25%=1,066

Total phone calls of the second month: 1,066+ 4,264= 5,330

You can also calculate the total phone calls of the second month by multiplying 4264 times 1,25 because times 1 is the same number and times 0,25 is the percent increase in the number of calls:

4,264*1,25= 5,330

Third month: 6,396 phone calls

To know the percent increase in the number of phone calls from the second month to the third month you must use the percent change formula:

Percent change: ((value2-value1)/ value 1 )*100%

Value 2: phone calls received during the third month

Value 1: phone calls received during the second month

Percent change: ((6,396-5,330)/ 5,330 )*100%

Percent increase: 20%

Answer:

8.5 weeks

Step-by-step explanation:

to solve, you can start by subtracting 61 from 129 because he has already picked 61.

129 - 61 = 68

then, just divide 68 by 8 to find how many weeks it will take him.

68/8 = 8.5

it will take Harry 8 and a half weeks to harvest at least 129 squashes.

Harry needs 9 weeks to harvest at least 129 squashes.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

Let, The number of weeks it will take Harry to harvest at least 129 squashes be 'w'.

Therefore, The inequality that represents the given situation is,

8w + 61 > 129.

8w > 68.

w > 68/8.

w > 8.5.

So, It will take him at least 9 weeks.

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Answer:

11

Step-by-step explanation:

Answer:

D

Step-by-step explanation: