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2 years ago

What is the domain of g(x) = sqrt x +1

1 answer:

7 0

There can be no negative in a sqrt
so x+1 must be equal or greater then 0
x+1 $\geq$ 0
x $\geq$ -1
so all answers must be greater then or equal to -1
-1,0,1,2,3,4,5,6,7,8
(-1,infinity) is the domain

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The four corners of a square are located at (-7, -2), (-7,5), (0,5), and (0, -2). What is the perimeter of the square?

12345 [234]

Answer:

A)14 Units is the answer for this question

but check it

8 0

2 years ago

The sum of three numbers $x$ ,$y$, $z$ is 165. When the smallest number $x$ is multiplied by 7, the result is $n$. The value $n$

babymother [125]

You're given

x + y + z = 165

7x = n

n = y - 9

n = 9 + z

and you want to find xyz.

Solve the last three equations for x, y, and z :

7x = n → x = n/7

n = y - 9 → y = n + 9

n = 9 + z → z = n - 9

Substitute x, y, and z into the first equation and solve for n :

n/7 + (n + 9) + (n - 9) = 165

n/7 + 2n = 165

n + 14n = 1155

15n = 1155

n = 77

Now solve for x, y, and z :

x = 77/7 = 11

y = 77 + 9 = 86

z = 77 - 9 = 68

Then the product is

xyz = 11 • 86 • 68 = 64,328

6 0

2 years ago

What is the answer to the series of equations

Aleonysh [2.5K]

Answer:

$71\frac{2}{3}$

Step-by-step explanation:

1st equation:

3 cups = 3x

3x = 75

x = 25, cup = 25

2d equation

25 + lemon* lemons= 25 + y²

25 + y² = 89

y²= 89 - 25

y²= 64

y = 8, lemon = 8

3d equation

3 circles = 3c

3c = 44

c = 44/3 = 14 2/3

4th equation

25 + 32 + 14 2/3 = 71 2/3

8 0

2 years ago

Read 2 more answers

Which linear inequality is represented by the graph

Arlecino [84]

Answer: $\Large\boxed{First~choice.~y\leq \frac{1}{2}x+2 }$

Step-by-step explanation:

<h2>Determine the equation form of the inequality</h2>

Given function form

Point-Slope form : y = mx + b

m = slope
b = y-intercept

Given the information from the graph

Since the graph crosses (0, 2), b = 2

Find the slope

Choose any two points from the graph

(x₁, y₁) = (0, 2)

(x₂, y₂) = (2, 3)

Slope = (y₂ - y₁) / (x₂ - x₁)

Slope = (3 - 2) / (2 - 0)

Slope = 1 / 2

m = 1 / 2

Therefore, the equation form of the inequality is y = (1/2)x + 2

<h2>Determine whether it is ≤ or ≥</h2>

Since it is a solid line, the values on the line are also included. Thus, it must be either greater than or equal to, or less than or equal to.

The shaded region is below the solid line, therefore, it is ≤

Therefore, the inequality is $\Large\boxed{y\leq \frac{1}{2}x+2 }$

To double-check the sign, we can substitute (0, 0) into the inequality to see whether it is true.

y ≤ (1/2) x + 2

0 ≤ (1/2) 0 + 2

0 ≤ 2 TRUE

Hope this helps!! :)

Please let me know if you have any questions

5 0

1 year ago

Jasmine and Josie are sisters that both are trying to save money.

kogti [31]

Answer:

(17, 270)

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

x= 17

y=270

8 0

2 years ago