Simplify the numerical expression (15 - 3) x 2 + 10

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.

Learn more about the function here:

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Answer:

6s

Step-by-step explanation:

Answer:

domain=-6,5,0,-2

range=4,-1,3,4

Step-by-step explanation:

u gotta ask function to someone else sry

Answer:

the length is 23 ft and the width is 11 ft

Step-by-step explanation:

68/4 = 17

17 17 17 17

11 11 23 23

Answer:

Step-by-step explanation:

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

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

Answer:

1961

Step-by-step explanation:

The greatest value of OFF can be achieved by making the hundreds places the greatest, followed by the tens, and then the ones.

S=9

A=8

U=7

T=6

N=5

986+975=1961

Answer:

955

Step-by-step explanation:

OFF = 955

hope this helps:)

Answer:

6.4%

Step-by-step explanation:

We solve this question in using the population growth rate formula

P(t) = Po(1 + r)^t

P(t) = Population after t years = 28 ft

Po = Initial Population = 20 1/2 feet or 20.5 feet

r = Growth rate = ?

t = Time in years = 5

Hence:

28 = 20.5 (1 + r)⁵

Divide both side by 20.5

28/20.5 = 20.5 (1 + r)⁵/20.5

1.3658536585 = (1 + r)⁵

5th root both sides.

5√(1.3658536585) = 5√(1 + r)⁵

1.0643411027 = 1 + r

r = 1.0643411027 - 1

r = 0.0643411027

Converting to percentage

r = 0.0643411027 × 100

r = 6.43411027%

Approximately = 6.4%

The yearly growth rate of the apple tree = 6.4%

Answer:

313000/100 X 4.5 = 14085

14085/100 X 20 = 2817

14085 - 2817 = 11268

agency = 11268

agent = 2817

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:

[tex]Probability = 0.2975[/tex]

Step-by-step explanation:

Giving:

Swimming

[tex]P(Win[Swim])= 65\%[/tex]

Running

[tex]P(Win[Run])= 85\%[/tex]

Required

Determine the probability of winning at running and losing at swimming

First, we calculate the probability of losing at swimming using

[tex]P(Win) + P(Lose) = 1[/tex]

Substitute 65% for P(Win)

[tex]65\% + P(Lose[Swim]) = 1[/tex]

Collect Like Terms

[tex]P(Lose[Swim]) = 1 - 65\%[/tex]

[tex]P(Lose[Swim]) = 35\%[/tex]

The required probability is then calculated using:

[tex]Probability = P(Win[Run]) * P(Lose[Swim])[/tex]

[tex]Probability = 85\% * 35\%[/tex]

Convert to decimal

[tex]Probability = 0.85 * 0.35[/tex]

[tex]Probability = 0.2975[/tex]

Answer:

cost of ice cream cones = $1.75

cost of ice cream sandwiches = $2.25

Step-by-step explanation:

Let

x = cost of ice cream cones

y = cost of ice cream sandwiches

3x + 4y = 14.25 (1)

5x + 2y = 13.25 (2)

Multiply (2) by 2

10x + 4y = 26.50 (3)

3x + 4y = 14.25 (1)

Subtract (1) from (3)

10x - 3x = 26.50 - 14.25

7x = 12.25

x = 12.25/7

x = $1.75

Substitute x = 1.75 into (1)

3x + 4y = 14.25

3(1.75) + 4y = 14.25

5.25 + 4y = 14.25

4y = 14.25 - 5.25

4y = 9

y = 9/4

y = $2.25

Answer:

cost of ice cream cones = $1.75

cost of ice cream sandwiches = $2.25

Step-by-step explanation:

Let

x = cost of ice cream cones

y = cost of ice cream sandwiches

3x + 4y = 14.25 (1)

5x + 2y = 13.25 (2)

Multiply (2) by 2

10x + 4y = 26.50 (3)

3x + 4y = 14.25 (1)

Subtract (1) from (3)

10x - 3x = 26.50 - 14.25

7x = 12.25

x = 12.25/7

x = $1.75

Substitute x = 1.75 into (1)

3x + 4y = 14.25

3(1.75) + 4y = 14.25

5.25 + 4y = 14.25

4y = 14.25 - 5.25

4y = 9

y = 9/4

y = $2.25

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:

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: x=20.6 miles and y=$22.05

Step-by-step explanation: Good luck!

Answer:

The answer is 60 degrees

Step-by-step explanation:

x+20 = 80 (alternate angle)

x=60

Answer:

$110

Step-by-step explanation:

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

Answer:

answer is 12

....

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.

...

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. :-)))

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:

width=17m

length= 31m

Step-by-step explanation:

width = x

length= x+14

perimeter = 96m

2(x+x+14)=96

4x+28=96

4x=68

x=17

width=17m

length= 31m

Answer:

[tex]3 \frac{1}{3}[/tex]

Hope this helps.

Step-by-step explanation:

Answer:

The answer is A

Step-by-step explanation:

Use the form y = mx + b for your answer.  Since 32 is the starting point, it will represent b.  b represents the y intercept.  Since the temperature decreases every hour, the second part of the equation would -2h.  So, if you put it together, the final equation is y = -2h + 32.

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:

The second one

Step-by-step explanation:

the semi circle

Answer:

1st question: y=1/3x-1

2nd question: y=-2/3x+9

Step-by-step explanation:

Y=mx+b form is what you are using

when a line in parallel to a line they have the same slop wich is m

when a line in perpendicular they have the opposite reciprocal

Examples: 2/5 opposite reciprocal would be -5/2

Answer:

1/3x - 2y - 5x + 8

Step-by-step explanation:

Given:

1/3x - 2y - 5x + 8

1. There are four (4) terms in the expression: 1/3x, -2y, -5x, 8

2. Like terms are terms which have the same thing in common such as 1/3x, -5x in the expression

3. A constant is a term without a variable. 8 is the constant in the expression

4. The variables in the expression are: x and y

5. The coefficients are; 1/3, -2, and -5

Answer:

The rate of change for the given function is 6.

Step-by-step explanation:

Given function is:

[tex]y = x^2+3x-2[/tex]

The interval on which we have to find the rate of change is:

1≤x≤2

Here

a = 1

b = 2

We have to find the values of function on both points

Putting 1 in place of input (x)

[tex]y_a= (1)^2+3(1)-2\\= 1+3-2\\=2[/tex]

Putting x = 2

[tex]y_b = (2)^2+3(2)-2\\= 4+6-2\\=8[/tex]

The rate of change is calculated by using the following formula

[tex]Rate\ of\ change = \frac{y_b-y_a}{b-a}\\=\frac{8-2}{2-1}\\= \frac{6}{1}\\=6[/tex]

Hence,

The rate of change for the given function is 6.