Which set of equations has 3, 1 as its solution

Answers

Answer 1

Answer:

D.) A and D

Step-by-step explanation:

To find which set of equations has the solution (3,1), you need to identify where on the graph this point lies. Remember, in a point, the first number listed (3) is the "x" value and the second number (1) is the "y" value.

First, look for x = 3. This is the number located on the x-axis (horizontal line).

From this spot, since y = 1, move up 1 unit.

At this point, two lines intersect. These lines are lines A and D.

Related Questions

There are 15 men and 21 women in a club. One man and one female are to be selected at random to represent the club. How many different pairs are there?

Someone please help me with this one, thanks

Answers

There are 315 number of different pairs

How to determine the number of pairs?

The given parameters are:

Men = 15

Women = 21

The number of different pairs is calculated as:

Pair = Men * Women

So,we have:

Pair = 15 * 21

Evaluate

Pair = 315

Hence, there are 315 different pairs

Answers

The intermediate step in the following equation is (4x + 16)² = - 196

What is an Equation ?

An Equation is the mathematical statement formed when two algebraic expressions are equated using an equal sign.

The given equation is

4x² +64x+467 = 15

4x² + 2 * 2x *16 + 256 -256 +467 = 15

(4x + 16)² +211 = 15

(4x + 16)² = - 196

Therefore the intermediate step in the following equation is

(4x + 16)² = - 196

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Todd is 3 years older than his brother Jack. If Jack is x years old and Todd is y years old, write a rule that relates their ages over time. When Jack is 28 years old, how old will Todd be?

Answers

A rule that relates their ages over time is given by y = x+3 , When Jack is 28 years , Todd will be 31 years old.

What are Variables ?

Variables are generally alphabets that are used to denote the unknown values in any process or equation.

If Jack is x years old

Todd is y years old

Todd is 3 years older than his brother Jack.

a rule that relates their ages over time is given by

y = x+3

When Jack is 28 years old

Todd will be

y = 28+3

y = 31 years

Therefore Todd will be 31 years old.

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In a given year, a marketing firm has the following costs: $560,000 in wages and salaries paid to employees; $74,000 in rental payments for office space; and $83,000 for office supplies, advertising, and utilities. In addition, Andrew, the owner of the firm, works for the firm full time (and is not paid a salary, since he receives the firm's profits). If he did not work for the marketing firm, Andrew could earn $130,000 per year working as a marketing manager for another firm.

Answers

Accounting profit when revenue is 700,000 is $-17,000 and economic profit is $-147,000.

Accounting profit when revenue is 750,00 is $33,000 and economic profit is $-97,000

Accounting profit when revenue is 800,000 is $83,000 and economic profit is $-47,000.

Accounting profit when revenue is 850,000 is $133,000 and economic profit is $3000

What is economic and accounting profit?

Accounting profit is total revenue less total explicit cost. Economic profit is accounting profit less implicit cost

Explicit cost = $560,000 + $74,000 + $83,000 =$717,000

Implicit cost = 130,000

Accounting profit when revenue is 700,000: 700,000- 717,000 = $-17,000

Economic profit = $-17,000 - $130,000 = $-147,000

Accounting profit when revenue is 750,000: 750,000- 717,000 = $33,000

Economic profit = $33,000 - $130,000 = $-97,000

Accounting profit when revenue is 800,000: 800,000 - 717,000 = $83,000

Economic profit = $83,000 - $130,000 = $-47,000

Accounting profit when revenue is 850,000: - 717,000 = $133,000

Economic profit = $133,000 - $130,000 = $3000

Here is the complete question:

For each possible amount of total revenue, fill in the accounting profit and economic profit of the marketing firm.

700,000

750,000

800,000

850,000

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The function h(x) is a transformation of the square root parent function,
f(x)=√x. What function is h(x)?
-5
5
-5-
h(x)
f(x)
K
I
5

Answers

The function h(x) is a transformation of the square root parent function,

f(x)=√x. The function is h(x) A: √x+5.

What is Transformations?

Transformations come in the form;

y =√(x-h) +k,

where h is responsible for left-right movements, and k is responsible for up-down movements.

From the graph, we can see that f(x) is simply the parent square root function, √x.

To translate a function right by p units and up by q units, the function becomes

g(x) = f(x -p) +q

(p, q) = (5, 0)

To get h(x), there is a translation of 5 units to the left, which can be represented by a value of h = -5.

h(x) = f(x + 5) +0

h(x) = √(x+ 5)

Hence, The function h(x) is a transformation of the square root parent function, f(x)=√x. The function is h(x) A: √x+5.

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A social club has 500 members.
If 62% of members are male, what percentage are female?

Answers

Answer:

[tex]\huge\boxed{\sf 38\%}[/tex]

Step-by-step explanation:

Total members = 500

Total percentage = 100%

Percentage of male members = 62%

Percentage of female members:

= 100% - male members

= 100% - 62%

= 38%

[tex]\rule[225]{225}{2}[/tex]

Answer:

310 members or 38% are female

Step-by-step explanation:

100% - 62%male = 38% female

or (62 × 500) ÷ 100 = 310 females

the area of an issoseles triangle is 240 if the base is 24cm find the length of each sides

Answers

Answer:

Both of the two unknown sides of the triangle are 23.32 cm

Step-by-step explanation:

"Isosceles" means that the triangle has two equal sides. It is quite symmetrical. If we draw in the height, the base will be cut right in half by it. See image.

First use area formula:

A = 1/2bh

to find the measure of the height (Area and base were both given)

Then use the Pythagorean Theorem to solve for the hypotenuse, which is the side of the triangle. See image.

A rectangular school yard has a perimeter of 294 meters. Its area is 5,162 square meters. What are the dimensions of the school yard?

Answers

The dimensions of the school yard is 58 m and 89 m.

What is rectangle ?

A rectangle is a polygon with four sides , It has opposite sides parallel and equal.

It is given that

A rectangular school yard has a perimeter of 294 meters

Perimeter of a rectangle is given by

P = 2(Length +Breadth)

294 = 2( L+B)

147 = L+B

Area of a rectangle is given by

L*B = 5162

B = 5162/L

L + 5162/L =147

L² -147L +5162 = 0

L² -58L - 89L+5162 = 0

L(L-58) -89(L-58)

L = 58 , 89

The dimensions of the school yard is 58 m and 89 m.

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f(x)=x²-3x-2 is shifted 4 units left. The result is g(x). What is g(x)?

A. g(x)=(x-4)² - 3(x-4)-2
B. g(x)=x²-3x+2
C. g(x) = (x+4)² - 3(x+4) - 2
D.g(x) = (x+4)² - 3x-2

Answers

Answer:

Step-by-step explanation:

left is in brackets and opposite sign so left is plus right is minus

The table above shows some values of the linear function F. Which of the following defines F? A) f(n) = n-3 B) f(n) = 2n-4 C) f(n) = 3n-5 D) f(n) = 4n-6

Answers

Answer:

3n - 5

Step-by-step explanation:

f(n) = 3n - 5. Works for all of them

Practice B
Study the graph below and answer the following questions.
100
80
No. of Face Shields Sold
60
40
20
Face Shields Sold by Ms. Lopez
Monday Tuesday Wednesday
Thursday
Days
1. On what days did she sell the same number of face shields?
2. On what day's did she set more than 60 face shields?
3. How many face shields did she sell in 5 days?
4. How many more face shields did she sell on Thursday than on Friday?
What inference can you make if Ms. Lopez will sell face shield the whole week?
Friday

Answers

Answer:

Where did the writer go in holiday

HEEEEEEEELLLLLLLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPp

Answers

Answer:

Step-by-step explanation:

This problem centers on recognizing the relationship between fractions and repeating decimals.

Note the following:

[tex]\frac{1}{3}=0.33333333333333333333333333333333333333333333333...[/tex]

or more simply [tex]\frac{1}{3}=0.\bar{3}[/tex]

This means that [tex]2\frac{1}{3}=2.\bar{3}[/tex]

Going back to the original expression, [tex]3\frac{2}{3}+2.\bar{3}[/tex] simplifies to [tex]3\frac{2}{3}+2\frac{1}{3}[/tex]

Next, adding mixed numbers. For adding mixed numbers, whole number parts and fractional parts can be added separately (this is because of the associative and commutative properties of addition)... because

[tex]3\frac{2}{3}+2\frac{1}{3}[/tex] means the same thing as

[tex](3+\frac{2}{3})+(2+\frac{1}{3})[/tex]

Changing the order, we can write it as

[tex]3+2+\frac{2}{3}+\frac{1}{3}[/tex]

Adding the whole number parts, 3+2 is 5.

Next, adding the fraction parts:

For adding fractions, one must have a common denominator (the bottom part of the fraction must be the same). Once they are the same, the denominator just sort of "hangs out" until the end without changing, and the numerators (the tops) are added together.

Fortunately, the denominators are already the same. So, add the numerators, and the denominator will stay as a 3.

[tex]\frac{2}{3}+\frac{1}{3}[/tex]

[tex]\frac{1+2}{3}[/tex]

[tex]\frac{3}{3}[/tex]

It is important to recognize that any fraction* where the number on the top matches the number on the bottom, the fraction is equivalent to 1.

*(except if the number we're talking about is zero)

So, the fraction parts added together, are equivalent to 1, and the whole number parts added were equal to 5. Returning to our expression...

[tex]3+2+\frac{2}{3}+\frac{1}{3}[/tex]

[tex]5+\frac{3}{3}[/tex]

[tex]5+1[/tex]

[tex]6[/tex]

4. What is the slope of the line that passes through the points (2, 7) and (6, 21)? Answer may be in decimal
point. Someone please please help I would really appreciate it

Answers

Answer:

About 3.5

Step-by-step explanation:

To get slope, you essentially need to find the rise (the y values) over run (the x values). You'll most likely see the formula for slope written like this:

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

Thankfully, you have the values you need to solve the problem!

x1 = 2

x2 = 6

y1 = 7

y2 = 21

So plugging these numbers in, we get:

[tex] \frac{(21) - (7)}{(6) - (2)} \\ \\ \frac{14}{4} \\ \\ 3.5 [/tex]

[EDIT: I misread 6 as 5. Answer has been updated!]

Answer: slope = 14/4 = 7/2 = 3.5

Explanation:
To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

To convert a fraction to a decimal, we'll just divide the numerator...by the denominator. In our example, we'll divide 1 by 4. 1 divided by 4 equals 0. To keep dividing, we'll add a decimal point and a zero after the 1

Help I need this today before 12:50pm

Answers

Answer:

<B ≅ <F

<C ≅ <G

<D ≅ <H

<A ≅ <E

Explanation:

Little tick marks are used to show that two sides are the same length (congruent). You can use just one tick mark, two or three, or more -- just as long as you use the same number on sides that are equal.

You make the little rounded sweep in the angle and then use tick marks to show which angles are the same size (have the same measure -- are congruent).

Answer: x = 8 and y = 19

Explanation:

Triangle MLN ≅Triangle SRT

Therefore, each angle and side measure of one triangle are equal to the corresponding angle and side of the other triangle.

<M ≅ <S

<S= 93 (Given)

<M=93

<N=63 (Given)

Line segment ML ≅ Line segment SR

Line segment ML = 43

Line segment SR = 3x + y

Now, we need to find the values of x and y.

43 = 3x + y

<M+<N+<L=180 (Interior angles measure of a triangle is always 180)

93+63+z=180

156+z=180

z= 24

24 is the measure of <R.

<R=3x

24=3x

x=8

Now if we plug in the 8, the value of x, into our equation above,

43=3x+y

43=3(8)+y

43=24+y

43-24=y

19=y

Answer:

<K ≅ <M

<J ≅ <N

<Q ≅ <P

<L≅ <L

Explanation:

Because all four interior angles are congruent to each other, these two quadrilaterals are equal to each other. Additionally, the side measurements of one shape are equal to the corresponding measurements of the other shape.

Answer: What must be true about these two triangles is that triangle ABC and triangle DEF are equilateral triangles.

Explanation: This means that the measurement of all sides is equal and the measurement of all angles is also equal.

Marcia bought a car for £34500 and sold it for £29700. what was her percentage loss?
can i have an explanation please :)

Answers

Answer:

cost of car = 34500

selling price = 29700

amount of loss = 34500 - 29700 = 4800

loss percentage = (loss amount ÷ cost price ) * 100

= 13.913 ≈ 14% loss

Trigonometric ratios apply only to right triangles and not to oblique triangles.

true
false

Answers

Answer:

[tex]\fbox {True}[/tex]

Step-by-step explanation:

Trigonometric ratios apply to only right triangles, and not to oblique triangles. There various ratios of angles less than or equal to 90 degrees is taken.

Step-by-step explanation:

hope you can understand

Use the given graph to determine the limit, if it exists.

Answers

The limit [tex]\lim_{x \to \ 3^{+} } _f(x)[/tex] is equal to -3 for the function whose graph is being shown in the question.

Given Graph of a function.

If we see the graph carefully then we can find that it is not a straight linear means it is not the graph of a linear function. From x=-10 to -3 the range is from 4 to -2 and from 3 onwards it is a straight line at y=-3. means when we put the value of x in the function equal to or less than 3 then we gets different answers than the values equal to or greater than 3 gives.

Because the graph is linear from x=3 onwards so the limit of the function will be -3.

Hence the limit [tex]\lim_{x \to \ 3^{+} } f(x)[/tex] is equal to -3.

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Can anyone help me with this it would be great.

Answers

Answer:

11. The student put 24 as the diameter instead of the radius.

12. 48 pi

Step-by-step explanation:

The formula for the circumference of a circle is c = pi x diameter.

However, the question says that the radius is 24m, not the diameter.

To fix it, all you need to to is double the radius to get 48m for the diameter.

48 x pi = 48 pi

Answer:

The error is that he made the radius a diameter.The circumstances is 150.8571428 m

Step-by-step explanation:

π = 22/7 or 3.14

Circumference= diameter × 22 / 7

= 2 × radius × 22 / 7

= 2 × 24 × 22/ 7

= 48 × 22 / 7

= 48 / 1 × 22 / 7

= 1056 / 7

= 150.8571428 m

The length of the rectangle is 4 more than the width. The area of the rectangle is 45
square centimeters. Identify the length and width of this rectangle.

Answers

Answer:

You need 2 numbers whose product is 45 and whose difference is 4.

so the length is 9 and the width is 5.

Hope this helps.

Which of the equations have only 1 solution -5x+12=5x-5

Answers

Answer:

in the pic...

Step-by-step explanation:

Hope it Helps!!!

Please help! Evaluate the following expression:
4+ (8x √9) ÷ (2+4)
A. 6
B. 28/6
C. 8
D. 15/6

Answers

Answer:

the answer to the question is C) 8

By rounding to 1 significant figure, estimate the answers to these questions:
a)346 × 904
b) 2451 × 988
c)3204 × 7756

Answers

Answer:

a) 270000

b) 2000000

c) 24000000

Step-by-step explanation:

For a)

346 to 1 s.f is 300

904 to 1 s.f is 900

300 × 900 = 270000

For b)

2451 to 1 s.f is 2000

988 to 1 s.f is 1000

2000 × 1000 = 2000000

For c)

3204 to 1 s.f is 3000

7756 to 1 s.f is 8000

3000 × 8000 = 24000000

Hope this helped and have a good day

Can you help me graph and list the (Zeros, Maximums, Minimums, Asymptotes)

Answers

The zero of the function is at 33.69 degree , the graph is plotted and attached with the answer.

What is a Function ?

A function is a law that relates a dependent variable and an independent variable with each other

It is given that

y = 2tan (x - π/2) +3

To find the zeroes of a function that function has to be equated to zero.

2tan (x - π/2) +3 = 0

2tan (x - π/2) = -3

tan (x - π/2) = -3/2

x - 90 = -56.31

x = 33.69 degree

The zero of the function is at 33.69 degree

For finding the maxima /minima

the derivative is

dy/dx = 2 sec² (x - π/2)

the point at which the slope is zero is substituted in the second derivative to find maxima/minima

d²y/dx² = 4 sec² (x - π/2) tan (x - π/2)

if the value is negative then it is a maxima and if it is positive it is a minima.

The vertical asymptote is found by finding the values that make the function undefined

x = 0+ πn

No horizontal or oblique asymptote

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2
A B
-10-9-8
5
Point A
Point B
Point C
Point D
6
ch point on the number line represents the product (-4)(-2)(-1)?
8
012
9
10
C D
5 6 7 8 9 10
59:3

Answers

We can actually deduce here that the point on the number line that represents the product (-4)(-2)(-1): -8.

What is number line?

Number line is actually known to be a horizontal or vertical line that is graduated with both negative and positive numbers. A number line is known to have both negative and positive numbers.

We see here that if we multiply out the brackets, (-4)(-2)(-1) = (8)(-1) = -8.

Thus, the answer is -8.

See attached image.

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find the value of a from the following 1. tan3a=cot2a

Answers

The value of a is 14.

What is Trigonometry?

The branch of mathematics concerned with specific functions of angles and their application to calculations.

Given:

tan3a=cot2a

tan 3a= tan (90- 2a)

On comparing

3a= 90- 2a

5a= 90

a= 14

Hence, the value of a is 14.

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Point A lies outside of plane P, how many lines can be drawn parallel to plane P that pass through point A.

Answers

The number of lines that can be drawn parallel to plane P that passes through point A is 1.

How to depict the information?

From the information given, we are told that Point A lies outside of plane P. It should be noted that when a line is drawn from a point to another, it can only be one.

Therefore, the number of lines that can be drawn parallel to plane P that passes through point A is 1.

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Ms. Kilicoglu wants to buy a total of 45 volleyballs and basketballs. She has $435 to spend. Each volleyball costs $8 and each basketball costs $11. How many of each type of ball can she purchase?

Answers

An equation is formed when two equal expressions. Ms. Kilicoglu will buy 20 volleyballs and 25 basketballs.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let x be the number of volleyballs and y be the number of basketballs. Therefore, the total number of balls can be written as,

x + y = 45

x = 45 - y

Each volleyball costs $8 and each basketball costs $11. Also, Ms. Kilicoglu has only $435, therefore,

8x + 11y = 435

8(45 - y) + 11y = 435

360 - 8y + 11y = 435

3y = 75

y = 25

Substitute the value of y in the first equation,

x + y = 45

x + 25 = 45

x = 20

Hence, Ms. Kilicoglu will buy 20 volleyballs and 25 basketballs.

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Use the function f(x) = 4x² - 7x - 15 to answer the questions.

Part A: Completely factor f(x). (2 points)

Part B: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)

Part C: Describe the end behavior of the graph of f(x). Explain. (2 points)

Part D: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part B and Part C to draw the graph.

Answers

Step-by-step explanation:

Part A:

4x² - 7x - 15

a, b, c = 4, -7, -15

ac = -60

factors that add up to -7 and multiply to -60 are (-12, 5)

rewrite equation

(4x² - 12x) + (5x - 15)

factor out GCF from both groups

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

(4x+5)(x-3)

Part B:

Using the factored form from the previous part we can set both factors equal to 0 to solve for x.

4x+5 = 0

4x = -5

x = -5/4

x-3 = 0

x = 3

the two x-intercepts are -5/4 and 3

Part C:

Since the leading coefficient is positive, the right side of the function will be going up or to positive infinity as x goes towards positive infinity. Since the degree is even both sides go in the same direction so on the left side it also goes towards positive infinity as x goes towards negative infinity.

a tree surgeon reduces the height of a beech tree by 32%.

the tree is now 4.42m tall.

how tall was it before it was reduced?

Answers

Let original Hieght be X

reduction = 32% = 32/100 X

new hieght = 4.42 m

now, 4.42 = X + 32/100 X

4.42 = 132/100 X

X = 4.42 * 100 / 132

X = 3.34 m

Original Hieght = 3.34 m

The sum of 8 and a number is less than 15. Which of the following
inequalities expresses the solution?

Answers

The inequality which expresses the solution to the task is; x < 7.

Which inequality expresses the solution to the graph?

According to the task content; The sum of 8 and a number is less than 15. Therefore, it follows that;

let

The unknown number = x

sum of 8 and a number:

8 + x

sum of 8 and a number is less than 15:

8 + x < 15

x < 15 -8

x < 7.

Ultimately, the required inequality is; x < 7.