All categories

2 years ago

Which of the following values of z will result in a true statement when substituted into the given equation?

Mathematics

2 answers:

Kazeer [188]2 years ago

8 0

Z=1 because if we plug it in we get 1/5(3+2(1))-4(1)=-3 and then that goes to 1/5(5)-4 = -3 then 1-4=-3 and that is true

DIA [1.3K]2 years ago

5 0

Answer:

A) z=1

Step-by-step explanation:

1/5(3+2z)-4z=-3

3/5+2/5z-4z=-3

2/5z-20/5z=-3-3/5

-18/5z=-15/5-3/5

-18/5z=-18/5

z=(-18/5)/(-18/5)

z=1

You might be interested in

The sum of two consecutive integers is 65. what are the two integers? show steps please.

Gnoma [55]

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

We are asked to find the two integers, given that they are consecutive, and their sum is 65.

$\triangle~\fbox{\bf{KEY:}}$

Consecutive integers are right next to each other, like 12 and 13. or 65 and 66.

Let the first integer be x, and let the second integer be x+1.

Their sum is 65. Let's set up our equation:

$\longmapsto\sf{x+x+1=65}$

Combine like terms:

$\longmapsto\sf{2x+1=65}$

Subtract 1 from both sides of the equal sign:

$\longmapsto\sf{2x=64}$

Divide both sides by 2:

$\longmapsto\sf{x=32}$

To find the second integer, subtract the first integer from the sum of the two integers:

$\longmapsto\pmb{65-32}$

$\longmapsto\pmb{33}$

The integers are: 33 and 32.

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

7 0

1 year ago

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

shtirl [24]

Answer:

It would be the third one hope i helped

Step-by-step explanation:

8 0

3 years ago

I need some help on this question. Segment LM is the midsegment of trapezoid ABCD. AB=48, and DC=88. What is LM? I am not sure h

agasfer [191]

AB=48, DC=88

48+88=136
136÷2=68

Answer: LM=68
Remember that the length of the mid segment in a trapezoid is half the sum of the base lengths.

4 0

3 years ago

Which function has the same graph as x + y = 112 OA x) = -y + 11 OB. f(x) = -x + 11 Oc. x) = x- 11 O D. x) = y-11

Lera25 [3.4K]

Answer:

B. f(x) = -x + 11

Step-by-step explanation:

First if you rearrange the equation you get f(x) = -x + 11, like this:

x + y = 11

Minus x from both sides

y = -x + 11

F(x) and y are interchangeable so we just put f(x) in

f(x) = -x + 11

Each of the graphs are attached and we see that they are the same!

<em>Hope this helps!!</em>

4 0

2 years ago

If f'(0) = 5 and F(x) = f(3x), what is F'(0)?

Llana [10]

Answer:

$\displaystyle F'(0) = 15$

Step-by-step explanation:

We are given that:

$f'(0) = 5 \text{ and } F(x) = f(3x)$

And we want to find F'(0).

First, find F(x):

$\displaystyle F'(x) = \frac{d}{dx}\left[ f(3x)]$

From the chain rule:

$\displaystyle \begin{aligned} F'(x) &= f'(3x) \cdot \frac{d}{dx} \left[ 3x\right] \\ \\ &= 3f'(3x)\end{aligned}$

Then:

$\displaystyle \begin{aligned} F'(0) & = 3f'(3(0)) \\ \\ & = 3f'(0) \\ \\ & = 3(5) \\ \\ & = 15\end{aligned}$

In conclusion, F'(0) = 15.

7 0

2 years ago

Read 2 more answers