All categories

3 years ago

What is a solution to the equation x 2 = 121.

Mathematics

2 answers:

pishuonlain [190]3 years ago

8 0

Answer,

X = 11 or -11

Explanation,

Let's solve your equation step-by-step

x^2 = 121

Step 1: Take square root.

x = ± √121

x = 11 or x = −11

Hope This Helps :-)

gizmo_the_mogwai [7]3 years ago

6 0

x=11,-11 there you go

You might be interested in

F a frame component is 200 pixels wide and 300 pixels high, the lower, left-hand corner has (x,y) coordinates of

Maslowich

In most languages, the origin is in the upper left-hand corner. Therefore, the lower left-hand corner would be at (0, 300).

4 0

4 years ago

Write an equation in slope-intercept form of the line that passes through (-1, 4) and (0, 2).

arsen [322]

Answer:

$y=-2x+2$

Step-by-step explanation:

Hi there!

Slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope

$m=\frac{y_2-y_1}{x_2-x_1}$ where the two given points are $(x_1,y_1)$ and $(x_2,y_2)$

Plug in the given points (-1, 4) and (0, 2)

$=\frac{2-4}{0-(-1)}\\=\frac{-2}{0+1}\\=\frac{-2}{1}\\= -2$

Therefore, the slope of the line is -2. Plug this into $y=mx+b$ :

$y=-2x+b$

2) Determine the y-intercept

$y=-2x+b$

Recall that the y-intercept is the value of y when the line crosses the y-axis, meaning that the y-intercept occurs when x is equal to 0.

One of the given points is (0,2). Notice how y=2 when x=0. Therefore, the y-intercept of the line is 2.

Plug this back into the equation:

$y=-2x+2$

I hope this helps!

6 0

3 years ago

The number of users on a website is 630 and is growing exponentially at a rate of 76% per year. Write a function to represent th

Dafna1 [17]

The exponential function that represents the number of users on the website after t is given by:

$A(t) = 630(1.76)^t$

The daily rate of change is of 20.82%.

<h3>What is an exponential function?</h3>

An increasing exponential function is modeled by:

$A(t) = A(0)(1 + r)^t$

In which:

A(0) is the initial value.

r is the growth rate, as a decimal.

For this problem, the parameters are given as follows:

$A(0) = 630, r = 0.76$

Hence the equation that represents the number of users on the website after t is given by:

$A(t) = 630(1.76)^t$

An year has 365 days, hence the rate of change per day is given by:

76/365 = 0.2082 = 20.82%.

The daily rate of change is of 20.82%.

More can be learned about exponential functions at brainly.com/question/25537936

#SPJ1

5 0

2 years ago

What is x equal to? 3(x + 5) = 2(3x + 18)

Anna [14]

3(x + 5) = 2(3x + 18)
Use the distributive property:
3(x)+5(3)=2(3x)+18(2)
Simplify:
3x+15=6x+36
6x+36=3x+15
3x+36=15
3x=-21
x=-7

Check answer:
3(-7+5)=2(-21+18)
3(-2)=2(-3)
-6=-6

Hope this helps :)

7 0

3 years ago

Read 2 more answers

What is the difference?

Serhud [2]

Answer:

The option $\frac{(x+5)(x+2)}{x^3-9x}$ is correct

The difference of the given expression is

$\frac{2x+5}{x^2-3x}-(\frac{3x+5}{x^3-9x})-({\frac{x+1}{x^2-9})=\frac{(x+5)(x+2)}{x^3-9x}$

Step-by-step explanation:

Given expression is $\frac{2x+5}{x^2-3x}-(\frac{3x+5}{x^3-9x})-({\frac{x+1}{x^2-9})$

To find the difference of the given expression as below :

$\frac{2x+5}{x^2-3x}-(\frac{3x+5}{x^3-9x})-({\frac{x+1}{x^2-9})$

$=\frac{2x+5}{x(x-3)}-(\frac{3x+5}{x(x^2-9)})-({\frac{x+1}{x^2-9})$

$=\frac{2x+5}{x(x-3)}-(\frac{3x+5}{x(x^2-3^2)})-({\frac{x+1}{x^2-3^2})$

$=\frac{2x+5}{x(x-3)}-(\frac{3x+5}{x(x-3)(x+3)})-({\frac{x+1}{(x-3)(x+3)})$

( using the formula $a^2-b^2=(a+b)(a-b)$ )

$=\frac{2x+5(x+3)-(3x+5)-x(x+1)}{x(x-3)(x+3)}$

$=\frac{2x^2+6x+5x+15-3x-5-x^2-x}{x(x-3)(x+3)}$ (adding the like terms)

$=\frac{x^2+7x+10}{x(x^2-9)}$ ( by factoring the quadratic polynomial )

$=\frac{(x+5)(x+2)}{x^3-9x}$

Therefore $\frac{2x+5}{x^2-3x}-(\frac{3x+5}{x^3-9x})-({\frac{x+1}{x^2-9})=\frac{(x+5)(x+2)}{x^3-9x}$

Therefore the difference of the given expression is

$\frac{(x+5)(x+2)}{x^3-9x}$

Therefore option $\frac{(x+5)(x+2)}{x^3-9x}$ is correct

8 0

3 years ago