All categories

3 years ago

Identifying Equivalent Expressions

Mathematics

1 answer:

aivan3 [116]3 years ago

3 0

Answer:

Option c, d and e are equivalent expressions to 7x-14

Step-by-step explanation:

Which expressions are equivalent to 7x - 14

Equivalent Expressions:

The expressions that are the same, even if the expression looks different.

For example: 2x^2+4 is equivalent to 2(x^2+2) because solving 2(x^2+2) we get 2x^2+4

Now, finding equivalent to expressions 7x - 14

Option a) 14 - 7x

Not equivalent to 7x-14

Option b) x-2

Not equivalent to 7x-14

Option c) -(14 – 7x)

Simplifying: -14+7x so, equivalent to 7x-14

Option d) (x - 2)

Simplifying: 7x-14 so, equivalent to 7x-14

Option e) - 14 + 4x

Simplifying: 3x+4x-14 = 7x-14, so, equivalent to 7x-14

Option f) 2x - 10 + 5x + 4

Simplifying: 2x+5x-10+4 = 7x-6 so, Not equivalent to 7x-14

So, Option c, d and e are equivalent expressions to 7x-14

You might be interested in

Line Equation from Two Points

Verdich [7]

Hi!

We can use point-slope form to solve this.

$y-y_{1} =m(x -x_{1})$

$y_{1}$ and $x_{1}$ will be from one of the points.

First, we have to find $m$ , the slope. We can use the slope equation to get this.

$\frac{y_{1} -y_{2} }{x_{1} -x_{2} }$

Plug in your points:

$\frac{4-0}{8-(-8)} =\frac{4-0}{8+8} =\frac{4}{16} =\frac{1}{4}$

Your slope is $\frac{1}{4}$

Now plug points and slope into point-slope equation. We will use (8, 4).

$y-4=\frac{1}{4} (x-8)$

Now, if you want to get it into y = mx + b form, you have to solve for y:

$y-4=\frac{1}{4} (x-8)$

$y-4=\frac{1}{4} x-2$

$y=\frac{1}{4} +2$

Your equation is $y=\frac{1}{4} +2$

For more information on how to get the equation of a line when given two points, see here:

brainly.com/question/986503

7 0

2 years ago

Y=-5x + 22 -2x - 8y = 14

laiz [17]

Step-by-step explanation:

Put the value y.

-2x-8(-5x+22)=14

-2x+40x-176= 14

38x-176 =14

38x = 190

x=5

Now put the value of X to find Y

Y= -5(5)+22= -25+22 = -3

=>X=. 5

=>Y= -3

8 0

3 years ago

16 - x = -2 solve for x

poizon [28]

Answer:

16 - x = -2

16 + 2 = x

x = 18

hope it helps!

4 0

2 years ago

What is the slope-intercept form of the linear equation 2x–8y=322x–8y=32 ?

gladu [14]

2x - 8y = 32
-8y = -2x + 32
y = (-2/-8)x - 32/8
y = 1/4x - 4 <== slope intercept form

5 0

3 years ago

84 times 0.24 using area model

Damm [24]

20.16 hopefully it’s right

6 0

3 years ago