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3 years ago

Y = 5x - 10 Can you solve for x

2 answers:

7 0

Use the slope-intercept form to find the slope and y-intercept.
Tap for more steps...
Slope:
5
5
y-intercept:
−
10
-
10
Any line can be graphed using two points. Select two
x
x
values, and plug them into the equation to find the corresponding
y
y
values.

tensa zangetsu [6.8K]3 years ago

6 0

Answer:

$x = \frac{1}{5}y + 2$ or $x = \frac{y+10}{5}$ (Not sure which one is preferred in your case)

Step-by-step explanation:

Key skills needed: Evaluating expressions

1) We are given: $y = 5x-10$

2) To solve for the x variable, we want to leave the term with "x" by itself.

This means we add 10 to both sides

--> $y + 10 = 5x$ (Since -10 and +10 cancel out to make 0 or nothing)

3) Then we divide by 5 on both sides to get "x" completely by itself.

-----> $\frac{y+10}{5} = x$

4) You can keep it as is so --> $x = \frac{y + 10}{5}$

or you can divide "y" by 5 and "10" by 5 and get --> $x = \frac{1}{5} y + 2$

(I am not sure which form is preferred one is preferred as the teacher matters)

Hope you understood and have a nice day!!

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|x|-5 what does the vertical bar means?

Masja [62]

Answer:

it means absolute valuen so anything inside becomes a positve.

Step-by-step explanation:

6 0

3 years ago

Solve for P: 9(p−4)=−18 Please Explain

vekshin1

Answer:

p = 2

Step-by-step explanation:

Happy to help.

When we have numbers in parenthesis, we generally want to deal with those first. However, we can hit a rough patch when a variable is in there. Consider this:

2(3 + 4) = 2(7), or 14.

But, the two can also be distributed into both numbers in the parenthesis, like this:

2(3 + 4) = 2*3 + 2*4

That leaves us with the same answer—14! We can apply this to a variable, and that will help us figure out 9(p - 4), or the left side of your equation you presented.

9(p - 4) = -18

9*p - 9*4 = -18

9p - 36 = -18

Add 36 on both sides to isolate the variable (in this case, p)

9p = -18 + 36

You can also write it like this; 9p = 36 - 18

9p = 18

Divide 9 to isolate p

p = 2

So, we would get (p = 2). Make sure to practice a few more questions like these to really get the hang of it—you'll be using this a lot in the future!

Good luck!

3 0

3 years ago

Find the domain of the function using interval notation. <img src="https://tex.z-dn.net/?f=f%28x%29%3D8%5Csqrt%7Bx-9%7D" id=

Irina18 [472]

Answer:

D_{f(x)} = [9, \infty)

Step-by-step explanation:

Here we have the square root of a function, in the following format:

$f(x) = \sqrt{g(x)}$

For the square root, and roots of even numbers(root of 4, 6, ...), we have the following condition in the domain

$g(x) \geq 0$

In this problem, we have that:

$f(x) = 8\sqrt{x-9}$

$x - 9 \geq 0$

$x \geq 9$

So the domain is

$D_{f(x)} = [9, \infty)$

3 0

3 years ago

Randomly selected students participated in an experiment to test their ability to determine when one minute (or sixty seconds)

zalisa [80]

Answer: $(57.41,\ 62.19)$

Step-by-step explanation:

Given : Sample size : $n=40$

Sample mean : $\overline{x}=59.8\text{ seconds}$

Standard deviation : $\sigma =9.2\text{ seconds}$

Significance level : $\alpha=1-0.9=0.1$

Critical value : $z_{\alpha/2}=1.645$

Formula to find the confidence interval for population mean :-

$\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}\\\\=59.8\pm(1.645)\dfrac{9.2}{\sqrt{40}}\\\\\approx59.8\pm2.39\\\\=(59.8-2.39,\ 59.8+2.39)\\\\=(57.41,\ 62.19)$

Hence, a 90% confidence interval estimate of the population mean of all students = $(57.41,\ 62.19)$

6 0

3 years ago

12598 round to the nearest thousand

MakcuM [25]

12598 rounded to the nearest thousands is 1260

5 0

3 years ago

Read 2 more answers