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2 years ago

8

What will be the result if the y-intercept of the line shown is changed to an 8, but the slope remains the same? Select one opti

on from each
set to complete the sentence.

The line will be translated [ 0/2/6/8] units [up/down/left/right]

1 answer:

kkurt [141]2 years ago

3 0

Answer:2 down

Step-by-step explanation:

y-intercept is on 10 so if it said that it changed to 8 u subtract 2 which means it goes down

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What is the equation of the line

Harlamova29_29 [7]

The answer is

The equation for this line is (0,4)

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2 years ago

Sharon presently earns $262 per wk. She is offered another job which pays $16,200 per year. Which has the better pay?

ANEK [815]

Earnings For The First Job
monthly pay =262 × 4
= 1048
Yearly pay = 1048 × 12
= 12 576

Earnings for the second job
yearly pay = 16 200

Difference for the two jobs

16200 - 12576 = 3624

Answer = The second job that pays $16200 has a better from the first job by 3624

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3 years ago

The whole numbers a and b are divisible by c. Is a+b divisible by c? Is b−a divisible by c? Explain your reasoning.

gizmo_the_mogwai [7]

Answer:

$a+b$ is divisible by $c$ since $d$ and $e$ are also whole numbers.

$b-a$ is divisible by $c$ since $d$ and $e$ are also whole numbers.

Step-by-step explanation:

Let $a$ , $b$ whole number that are divisible by $c$ . Then, we have that $d = \frac{a}{c}$ and $e = \frac{b}{c}$ , which are also whole numbers. We proceed to prove that $a + b$ is divisible by $c$ :

1) $d = \frac{a}{c}$ , $e = \frac{b}{c}$ , $a$ , $b$ , $c$ , $d$ , $e$ $\in \mathbb{Z}$ Given

2) $d + e = \frac{a}{c}+\frac{b}{c}$ Compatibility with addition

3) $d+e = a\cdot c^{-1}+b\cdot c^{-1}$ Definition of division

4) $d + e = c^{-1}\cdot (a+b)$ Commutative and distributive properties

5) $d+e = (a+b) \cdot c^{-1}$ Commutative properties

6) $d+e = \frac{a+b}{c}$ Definition of division/Result

Therefore, $a+b$ is divisible by $c$ since $d$ and $e$ are also whole numbers.

We proceed to prove that $b-a$ is divisible by $c$ :

1) $d = \frac{a}{c}$ , $e = \frac{b}{c}$ , $a$ , $b$ , $c$ , $d$ , $e$ $\in \mathbb{Z}$ Given

2) $d\cdot (-1) = \frac{a}{c}\cdot (-1)$ Compatibility with multiplication

3) $e + d\cdot (-1) = \frac{b}{c}+\frac{a}{c}\cdot (-1)$ Compatibility with addition

4) $e + d\cdot (-1) = b\cdot c^{-1}+(a\cdot c^{-1})\cdot (-1)$ Definition of division

5) $e + d\cdot (-1) = b\cdot c^{-1} + [a\cdot (-1)]\cdot c^{-1}$ Associative and commutative properties

6) $e + d\cdot (-1) = c^{-1}\cdot [b+a\cdot (-1)]$ Commutative and distributive properties.

7) $e+d\cdot (-1) = [b+a\cdot (-1)]\cdot c^{-1}$ Commutative properties.

8) $e + d\cdot (-1) = \frac{b+a\cdot (-1)}{c}$ Definition of division

9) $e-d = \frac{b-a}{c}$ $(-1)\cdot a = -a$ /Definition of subtraction

Therefore, $b-a$ is divisible by $c$ since $d$ and $e$ are also whole numbers.

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3 years ago

Which graph represents -2x+6>8?

anyanavicka [17]

2x  < or equal -8+6
2x   < or equal -2
x  <  or equal  -2/2
x< or equal -1

this is the answer - a or b

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3 years ago

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Lina20 [59]

Answer:

A

Step-by-step explanation:

I am not sure but I think A

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2 years ago

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