Determine the function rule for the following input/output table.
inputs
2
3
4
5
6
outputs
21
31
41
51
61

Answer:

Number 3 . 5x-8y=-4

Step-by-step explanation:

Answer:

do you still need the answer or no?

==========================================

Work Shown:

q = (-4, 1) is one vector

r = (a,3) is another vector

The resultant vector is

q+r = (-4,1)+(a,3)

q+r = (-4+a,1+3)

q+r = (-4+a,4)

Multiply both sides by 7

7(q+r) = 7*(-4+a,4)

7(q+r) = (7*(-4+a),7*4)

7(q+r) = (-28+7a, 28)

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

Since 7(q+r) = (-35, 28), we know that,

(-28+7a, 28) =  (-35, 28)

which leads to

-28 + 7a = -35

when we equate the x components of each vector. Let's solve for 'a'

-28 + 7a = -35

7a = -35+28

7a = -7

a = -7/7

a = -1

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

Check:

q = (-4,1)

r = (a,3) = (-1,3)

q+r = (-4,1)+(-1,3)

q+r = (-4+(-1), 1+3)

q+r = (-5, 4)

7*(q+r) = 7*(-5, 4)

7*(q+r) = (7*(-5), 7*4)

7*(q+r) = (-35, 28)

The answer is confirmed.

Answer:

D. -1

Step-by-step explanation:

edge test

Answer:

399.37

Step-by-step explanation:

multiply the amount each week by the amount of weeks to get the answer :)

Answer: x=68, y=37

Step-by-step explanation:

The equation for the sum of two numbers is 105 would be x+y=105. You can say the larger number would be x and the smaller would be y. So, x=2y-6. then you plug that into the x in the first equation.

2y-6+y=105

3y-6=105

3y=111

y=37

Then you would plug in the y to one of the equations. I will do the second one but you can do either one.

x=2y-6

x=2*37-6

x=74-6

x=68

Explanation:

Level 2

Part 1: √250 would be simplified to 5√10, because you need to find two factors that equal 250. 25 multiplied by 10 are two factors that you can utilize. Because 25 is a perfect square, it could be reduced to 5. Because 10 isn't a perfect square, you leave it as a radical.

Part 2: √250 is an irrational number because it's a non-terminating decimal and you cannot convert it into a fraction, so it wouldn't be rational.

Level 3

Part 1: √150x^5 would be simplified to 5x^2√6x. Again, find two factors that equal the product, 150. 25 multiplied by 6 are two factors that are useable. Just like the first question, 25 is a perfect square, so it can be reduced to 5. 6 is not a perfect square, so you would leave as a radical. Now, moving onto x^5. You can factor out x^4, because it's a perfect square. x^4 can become x^2. Move x^2 next to 5 and x would be left in the radical with 6.

Part 2: It's rational because 2√4 is simply just 2 x 2 because √4 is a perfect square. 4+7=11. 11 can be converted into a fraction, so it wouldn't be irrational.

Level 4

Part 1: 13√750x*5 y*8 would be simplified to 65x^2y^4√30x. Find two factors that equal 750, which are 25 and 30. You know the drill, 25 is reduced to 5 and 30 stays as a radical. Multiply 13 and 5 to get 65. Factor out x^4 out of x^5 to get x^2. x^8 is a perfect square that can be reduced to x^4.

Part 2: Two unique expressions are 4√16+3 and 5√8 x 34. √16 is a perfect square, so it can become 4. 4 x 4 is 16 and 16 + 3 = 19. 19 is a rational number. 5√8 is irrational, so right off the bat, you'll know it's an irrational expression.

Answer:

2 3/4

Step-by-step explanation:

I think is the right answer hope it helps

Answer:The ratio is 1:5

Step-by-step explanation:

Answer:

it is 1:5 because if you divide both sides by 4, you get 1:5

Step-by-step explanation:

Answer:    j = 3d + 4

======================================================

Explanation:

Referring to the answer above, the "+4" at the end represents the amount Desmond already has. He started off with 4 liters.

The 3d represents the 3 liters he gets per day, where d is the number of days.

So we combine the two elements getting 3d+4 representing the number of liters at any given day. That's why the answer is j = 3d+4

If we plug in d = 0, then j = 3d+4 = 3*0+4 = 4 liters is what he starts with.

If we plug in d = 1, then j = 3d+4 = 3*1+4 = 7 liters is what he has the following day. This shows Desmond gained 3 more liters.

If you plug in d = 2, you'll find that 3d+4 becomes 10, showing yet another 3 liters is added on. This process can go on for as long as you want.

Answer:

you have to use the Pythagorean theorem. a^2 + b^2= c^2

72^2 + b^2 = 75^2

5184 + b^2 = 5625 (subtract 5184 from both sides)

b^2= 441 (find the square root of each side)

b= 21

Answer:

That happens to me to !

Step-by-step explanation:

Answer:

Download an adblocker

Step-by-step explanation:

I recommend uBlock Origin.

Answer:

Yes

Step-by-step explanation:

You are using the x values once, so it will pass the vertical line test.

{(3,4), (5,0), (2,4), (-5,-5)} the relation is a function.

A relation is a function if it has only One y-value for each x-value.

The relation is {(3,4), (5,0), (2,4), (-5,-5)}

Relation on a set may, or may not, hold between two given set members.

Three comma four comma five comma zero two comma four comma minus five comma minus five.

{(3,4), (5,0), (2,4), (-5,-5)} the relation is a function, because in (x,y) the x terms are not repeated.

For every y value there is a unique x value.

Hence, {(3,4), (5,0), (2,4), (-5,-5)} the relation is a function.

To learn more on Functions click:

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Answer:x=20 y=70

Step-by-step explanation:

Answer:

x=20, y=70

Step-by-step explanation:

∠40°+∠adjacent to it =180°

∠adjacent= 180-40=140°

we see that 2 of the sides of one of the small triangles are congruent so that triangle is isoscel so the base angles are congruent as well

because sum of angles in a triangle has to be 180,

140 +x+x=180 so x=20°

from the right triange we see thhat y +90+20 =180 because sum of angle in a triangle has to be 180 so y=70

The area of the given parallelogram with a base of 12 cm and a height of 9 cm is 108 cm². The area is obtained by multiplying the base and height.

To find the area of a parallelogram, the formula that should be used is A = b × h, where b is the base and h is the height. Since a parallelogram has two pairs of parallel sides, either of the two parallel sides can be chosen as the base. The height is the perpendicular distance between the base and the opposite side.

In the given parallelogram, the base is 12 cm since it is one of the parallel sides. The height, on the other hand, is 9 cm since it is the perpendicular distance between the base and the opposite side. Therefore, the area of the parallelogram is: A = b × h = 12 cm × 9 cm = 108 cm²

Thus, the area of the parallelogram is 108 cm². It is important to note that the unit of the area is always squared since the area is calculated by multiplying two lengths together.

For more questions on parallelogram

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Answer:

its 72, 36, 144

Step-by-step explanation:

yes it is!!!

Answer:

2 longer sides would be 4000 each, so that's 8000 total

and the 2 shorter sides could be 1000 each, so that's 2000 total

8000+2000=10,000

Step-by-step explanation:

Answer:

[tex]x = 7[/tex]

Step-by-step explanation:

Follow the following steps

[tex]4.3x - 6 = 2.3x + 8 \\ - 2.3x \: \: \: \: \: \: \: \: \: - 2.3x \\ 2x - 6 = 8 \\ + 6 \: \: \: \: + 6 \\ 2x = 14 \\ \div 2 \: \: \div 2 \\ x = 7[/tex]

Answer:

Fraction form:

[tex]\frac{3}{4}[/tex]

For every 3 dollars, there are 4 cookies

Step-by-step explanation:

To find the constant, find the rise (y-direction) and the run (x-direction). Of the two points on the line, the rise is 3 and the run 4. The constant is rise over run. So, it’s [tex]\frac{3}{4}[/tex]. This means that for every 3 dollars, there are 4 cookies.

Hope this helps! :)

Answer:

X=7

Step-by-step explanation:

Hope this helps, have a good day

Answer: The  speed of the turtle can be found by dividing distance by time.

Michelle is the fastest turtle.

The fastest turtle is 6cm per minute

First turtle walks 3cm a minute

Second turtle walks 6cm a minute

Third turtle also walks 3cm a minute

its d b and d                                    

hope this help a lot  of people thank you for the points also have a good day                                                                                                        

Answer:

10

Step-by-step explanation:

use the variable x and replace it with a 15 and use the same equation, it is the only number that fits

Answer:

So what is the question?

Step-by-step explanation:

Answer:

clockwise

Q= (5,-2)

R= (-1,-3)

S= (0,0)

T= (3,-2)

counterclockwise

Q= (-5,2)

R= (1,3)

S= (0,0)

T= (-3,-2)

Step-by-step explanation:

this might not be right im a little rusty on my transformations but here goes nothing.

i dont know if this is a clockwise or a counter clockwise rotation so ill do both options.

clockwise (x,y) - (y,-x)

q=(2,5) - (5,-2)

r=(3,-1) - (-1,-3)

s=(0,0) - (0,0)

t=(-2,3) - (3,2)

counterclockwise (x,y) - (-y,x)

q=(2,5) - (-5,2)

r=(3,-1) - (1,3)

s=(0,0) - (0,0)

t=(-2,3) - (-3,-2)

Answer:

how about you stop being confused

Step-by-step explanation:

just read the question

Answer:

You got a higher score on your math test.

Step-by-step explanation:

100/10= 10 so 3/10 turns into 30/100 so if you got three wrong that’s 30 points off so you scored a 70%. While on the other test, 100/4=25 so each question is worth 25 points if you miss one you get a 75%. Making that higher score.

Answer:

she have feed 26 or 27

Step-by-step explanation:

I am confused it's 26 or27

Answer:

m∠RSP = 130°

Step-by-step explanation:

In parallelogram,opposite angles are equal.

m∠RSP = m∠PQR

m∠RSP = 130°

Answer:

∠RSP=130

Step-by-step explanation:

It is given that ∠PQR = 130°

∴∠RSP = 130° (vertically opposite angles are equal in a parallelogram)