I need help with 16, 17, 18, 19, 20 & 21 please.

Square root functions are in the shape of a parabola, like a giant U, while cube root functions are more wide and swiggly, like a stretched out S.

See :

The general shape of a cube root function is a "S" shape when graphed, while the general shape of a square root function is a "U" shape when graphed.

A cube root function is defined as f(x) = ∛x. It has a single value for each positive x and one value for each negative x, so it is defined for all real numbers. It has a vertical asymptote at x=0 and its graph is a reflection of the graph of f(x) = -∛x over the x-axis. It starts at -infinity as x approaches negative infinity, increases to zero as x approaches zero and then decreases to positive infinity as x approaches positive infinity.

A square root function is defined as f(x) = √x. It is defined for all non-negative x and it has a vertical asymptote at x=0. Its graph starts at zero as x approaches zero and increases to positive infinity as x approaches positive infinity.

In summary, the cube root function is defined for all real numbers and has a "S" shape while the square root function is defined for non-negative numbers and has a "U" shape.

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Answer:

C = 13, A = 18

Step-by-step explanation:

A = 5 + C

A + 4 = 2(c-2)  

5+c+4 = 2c - 4

9 + c = 2c - 4

c = 2c - 13  

-1c = -13

c = 13

A = 5 + 13  

A = 18

Answer:

x= 1, y=3

Step-by-step explanation:

y= 2x +1

y= -x +4

Those two equation are in a system that means they need to be true in the same time. Just like I would say look for a car that is red and is a truck in this case we look for x and y is true that y = 2x+1 and is true that y= =x+4.

so y= 2x+1 but y is -x+4 so substitute

-x+4 = 2x +1,  add x on both sides

4= 2x+x +1, subtract 1 from both sides

4-1 = 2x +x, combine like terms

3 = 3x , divide both sides by 3

x=1

if x=1 we substitute in y= -1 +4 = 3

Answer:

y=-47

Step-by-step explanation:

12(y-8)=14y-2

12y-96=14y-2

-96=14y-2-12y

-96=2y-2

-96+2=2y

-94=2y

-94/2=y

-47=y

y=-47

Answer:

-47

Step-by-step explanation:

Answer:

Yes. That is correct

Step-by-step explanation:

Answer:

-1 < x ≤ 3

Step-by-step explanation:

First, we need to simplify this inequality.

9 > -5x + 4 ≥ -11 (Given)

5 > -5x ≥ -15 (Subtract 4 on both sides)

-1 < x ≤ 3 (Divide -5 on both sides)

Note that the signs flip due to dividing by a negative number.

Answer:

[tex]-1<x\leq3[/tex]

Step-by-step explanation:

Let's take two equations from this and them put them back together! So:

9>-5x+4

and

[tex]-5x+4\geq -11[/tex]

For the first one:

9>-5x+4

Subtract 4 from both sides

5>-5x

Then divide by -5 (Remember to change the direction of the sign!):

-1<x

Now onto the second one:

[tex]-5x+4\geq -11[/tex]

Subtract 4 from both sides:a

[tex]-5x\geq -15[/tex]

Then divide by -5 (Remember to change the direction of the sign!):

[tex]x\leq 3[/tex]

Now add the equations back together:

[tex]-1<x\leq3[/tex]

Answer: The answer is D

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]2 {y}^{3} - {y}^{3} [/tex]

[tex] {y}^{3} \: (collect \: like \: terms)[/tex]

hope it will help you..........

Answer:

1464

Step-by-step explanation:

16*22*2=704

10*16*2=320

10*22*2=440

704+320+440 = 1464

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Answer:

$267.5

Step-by-step explanation:

7% of 250=17.5. 250+17.5=267.5

Answer:

267.5

Step-by-step explanation:

250+7%=267.5

Hope this helps :)

Answer:

domain=-6,5,0,-2

range=4,-1,3,4

Step-by-step explanation:

u gotta ask function to someone else sry

Answer:

18 feet

Step-by-step explanation:

60 mins an hour

5 mins + 6 inches

60/5=12

12*6 = 72

12 feet +72 inches

72 inches = 6 feet

18 feet

Answer:

answer is 12

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. :-)))

Answer:

3

Step-by-step explanation:

Factors of 84 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84.

Answer:

hey there guys ^^

Step-by-step explanation:

Answer:

Step-by-step explanation:

Function rule:

y = 10(0.95)ˣ

If a function is given as,

y = a(b)ˣ

a represents 'Initial value'

b represents the growth factor

If 0 < b < 1, function is a decay function.

If b > 1, function is a growth function.

For 2 = 10(0.95)ˣ,

Here, b = 0.95 which is in the interval of 0 < 0.95 < 1

So it's a decay function.

[tex]\frac{2}{10}=(0.95)^x[/tex]

log(0.2) = log[(0.95)ˣ]

log(0.2) = x[log(0.95)]

-0.6989 = -x(0.0223)

x = 31.44

x ≈ 31

Meaning → For 'x' = 31, value of the function is 2.

For 8 = 10(0.95)ˣ,

0.8 = (0.95)ˣ

log(0.8) = log(0.95ˣ)

log(0.8) = xlog(0.95)

x = 4.35 ≈ 4.4

Means, at x = 4.4, value of the function was 8.

Option c. 93°.

Alright, so in this one um the angle um so uh this angle right here, let's see right here, right which these two angles these angles are going to be equal because those are vertical angles. So these this angle is equal to um So angle P. S. T. Is equal to one half the sum of those two arcs added together, so 43 plus 1 31 So one half of Uh was that 1 74, So 1 74, divide by two 87. So this is 87 and then you take 18687 And you get 93.

Triangle RST is isosceles means that two of its angles are equal. (1) The measure of angle T is 100 degrees --> since no other angle can be equal to 100 degrees (because in this case, the sum of the angles will be more than 180 degrees) than the other two angles, R and S, are equal: R=(180-100)/2=40.

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Answer:

force of gravity on the ball

Step-by-step explanation:

when you throw something up it will come down

Answer:

C.

Step-by-step explanation:

Hi there!

for an expression to be algebraic, there needs to be a variable.

The only option with a variable is c, with a variable of n.

I hope this helped!

Answer:

28

Step-by-step explanation:

The 5 part of the ratio represents 35 girls , then

35 ÷ 5 = 7 ← value of 1 part of the ratio, then

4 parts = 4 × 7 = 28 ← number of boys

Answer:

28 boys

Step-by-step explanation:

4*35=140

140/5=28

so 28 boys

Answer:

$ 1.90 for 1 Gallon

Step-by-step explanation:

11.40/6 = 1.90

another way you can show the answer is: $1.90/1 Gal.

Answer:

$110

Step-by-step explanation:

1000-75-75-350-130-130-130=$110 in change

Answer:

Step-by-step explanation:

we have we know that see the graph

Let

Find the slope B   The slope is positive

so

The graph is increasing in the interval----------> (10, ∞)

Find the slope AB

The slope is negative

so

The graph is decreasing in the interval----------> (-∞,10)

therefore

Answer:

The math club has 22 students, and the art club has 34 students.

Step-by-step explanation:

Given that there are a total of 56 students between the art club and the math club, and that the art club has 12 more students than the math club, to determine how many students there are in each club, the following calculation must be performed:

X + X + 12 = 56

2X + 12 = 56

2X = 56 - 12

X = 44/2

X = 22

Thus, the math club has 22 students, and the art club has 34 students.

Answer:

False;18 ≥ 20

Step-by-step explanation:

Add  11  and 7

The left side  18  is less than the right side  20 , which means that the given statement is false.

Answer:

y=[tex]-\frac{3}{2}[/tex]+2

Step-by-step explanation:

for an equation to be parallel with another both should have the same rate of change(m).

the line given to us is in general form, and we can change it to slope-intercept form to get the slope. (y=mx+b)

Isolate for y:

2y+3x=8

2y=-3x+8

y=-3/2x+8/2

y=-3/2x+4

thus the slope of the line we are trying to find must also equal -3/2

use point slope form to find the equation (substitute (2, -1) into equation)

y-y1=m(x-x1)

y-(-1)=(-3/2)(x-2)

y+1=[tex]-\frac{3}{2}[/tex]x+3

y=[tex]-\frac{3}{2}[/tex]+2