Complete the remainder of the table for the given function rule: y= x/4 + 7

Complete The Remainder Of The Table For The Given Function Rule: Y= X/4 + 7

Answers

Answer 1

Let's replace x with -4 and simplify

y = (x/4) + 7

y = (-4/4) + 7

y = -1 + 7

y = 6

This means x = -4 and y = 6 pair up together.

So 6 goes in the box under the -4

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

Repeat those steps for x = 0

y = (x/4) + 7

y = (0/4) + 7

y = 0 + 7

y = 7

So 7 goes in the box under the 0

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

Let's repeat those steps for x = 4

y = (x/4) + 7

y = (4/4) + 7

y = 1 + 7

y = 8

So 8 goes in the box under the 4

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

Lastly, for x = 8, we get

y = (x/4) + 7

y = (8/4) + 7

y = 2 + 7

y = 9

9 goes in the box under the 8

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

The y outputs we got were: 6, 7, 8, 9

Notice how each time y increases by 1, x goes up by 4.

This means slope = rise/run = 1/4

We can think of x/4 as (1/4)x to help see that the slope is 1/4.

Complete The Remainder Of The Table For The Given Function Rule: Y= X/4 + 7
Answer 2

A function assigns the values. The value of the y in the given table should be 6, 7, 8, and 9, respectively.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

The function of the x and y is given y=(x/4)+7, use this function to find the value of y for the given values of x. Thus,

x = -4

y = (-4/4)+7

y = -1+7

y = 6

x = 0

y = (0/4)+7

y = 7

x = 4

y = (4/4)+7

y = 8

x = 8

y=(8/4)+7

y = 9

Hence, the value of the y in the given table should be 6, 7, 8, and 9, respectively.

Learn more about Function:

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Kylie explained that (negative 4 x + 9) squared will result in a difference of squares because (negative 4 x + 9) squared = (negative 4 x) squared + (9) squared = 16 x squared + 81. Which statement best describes Kylie’s explanation?

Kylie is correct.
Kylie correctly understood that it is a difference of squares, but she did not determine the product correctly.
Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.
Kylie determined the product correctly, but she did not understand that this is a perfect square trinomial.

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Given:

The given expression is:

[tex](-4x+9)^2[/tex]

According to Kylie,

[tex](-4x+9)^2=(-4x)^2+(9)^2[/tex]

[tex](-4x+9)^2=16x^2+81[/tex]

To find:

The correct statement for Kylie's explanation.

Solution:

We have,

[tex](-4x+9)^2[/tex]

According to the perfect square trinomial [tex](a+b)^2=a^2+2ab+b^2[/tex].

[tex](-4x+9)^2=(-4x)^2+2(-4x)(9)+(9)^2[/tex]

[tex](-4x+9)^2=16x^2-72x+81[/tex]

Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.

Therefore, the correct option is C.

Answer:C, Kylie did not understand that this is a perfect square trinomial, and she did not determine the product correctly.

Step-by-step explanation:

Aaron's rear bicycle tire has too much air he removes 8 pounds of air so that his tire gauge now reads 53 pounds. How many pounds did he begin with? Use the equation p - 8 = 53

Answers

Answer:

61 pounds

Step-by-step explanation:

you rearrange the equation to make p the subject:

p-8=53

p = 8+53

p = 61

The answer is 61 pounds

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Answers

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Answer:

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Step-by-step explanation:

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Answer:

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Answers

Answer:

25

Step-by-step explanation:

x + 25 = 50

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Answer:

x = 25

Step-by-step explanation:

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[tex]y = x {}^{2} - 9x + 14[/tex]

Given that y can be written in the form
[tex](x + a) {}^{2} + b[/tex]
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Answers

Answer:

a = - [tex]\frac{9}{2}[/tex] , b = - [tex]\frac{25}{4}[/tex]

Step-by-step explanation:

To obtain the required form use the method of completing the square

add/ subtract ( half the coefficient of the x- term)² to x² - 9x

y = x² + 2(- [tex]\frac{9}{2}[/tex] )x + [tex]\frac{81}{4}[/tex] - [tex]\frac{81}{4}[/tex] + 14

  = (x - [tex]\frac{9}{2}[/tex] )² - [tex]\frac{81}{4}[/tex] + [tex]\frac{56}{4}[/tex]

  = (x - [tex]\frac{9}{2}[/tex] )²- [tex]\frac{25}{4}[/tex] ← in the form (x + a)² + b

with a = - [tex]\frac{9}{2}[/tex] and b = - [tex]\frac{25}{4}[/tex]

Answer:

a = 4.5

b = -6.25

Step-by-step explanation:

The given equation to us is ,

[tex]\implies y = x {}^{2} - 9x + 14[/tex]

And its given that it can we written in the form of ,

[tex]\implies (x + a) {}^{2} + b[/tex]

Where ,

a and b are constants .

Therefore ,

[tex]\implies y = x^2 -9x + 14 [/tex]

Multiplying 9x by 2/2 ,we have ,

[tex]\implies y = x^2 -\dfrac{2}{2}\times 9 x + 14 [/tex]

Adding and subtracting (9/2)² ,

[tex]\implies y = \bigg\{ x^2 -\dfrac{2}{2}\times 9 x + \bigg(\dfrac{9}{2}\bigg)^2 \bigg\} +14 -\bigg(\dfrac{9}{2}\bigg)^2[/tex]

Therefore , we can write it as ,

[tex]\implies y = \bigg( x + \dfrac{9}{2}\bigg)^2 + 14 - 20.25 \\\\\implies \underline{\underline{ y = \bigg( x + \dfrac{9}{2}\bigg)^2 - 6.25 }}[/tex]

Hence the value of a is 9/2 and b is -6.25 .

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

D=22/7×d-90

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Answer:

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