I NEED HELP PLEASE, THANKS!
Estimate and classify the critical points for the graph of the function.

Answer:

1(a)1,030,000+0.13x

(b)$1,030,026

2. (a)Base and Index

(b)See Explanation

Ste-by-Step Explanation

(a)Total Amount to be paid to the four actors

=500,000+(300,000+0.02x)+(150,000+0.03x)+(80,000+0.08x)

Collect like terms

=500,000+300,000+150,000+80,000+0.02x+0.03x+0.08x

[tex]\text{Total Amount Paid= }1,030,000+0.13x[/tex]

(b)When x=200

[tex]\text{Total Amount Paid= }1,030,000+0.13(200)\\=1,030,000+26\\=$1,030,026[/tex]

Question 2

(a)The two parts of a power are the base and index.

Take, for example, the expression: [tex]a^b\\[/tex]

[tex]a$ is the base\\b is the index[/tex]

Another example using numbers is: [tex]10^3[/tex]

In this case:

[tex]10$ is the base\\3 is the index[/tex]

(b)Like terms are terms that have the same letter/variable attached to them.

For example, the following pairs are like terms

These, however, are not like terms

Answer:

I think it is C

Step-by-step explanation:

Answer: h(-9)=4*(-9)-2=-36-2=-38

-38 is ur answer

Answer:-38

Step-by-step explanation:h(x) =4x -2

H(-9)

substitute for x using -9

H(-9) =4x -2

4(-9) -2

-36-2

H(-9) =-38

Answer:

see below

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

We know the radius is 9 and the height is 20

V = pi  ( 9)^2 ( 20)

V = 1620 pi

If we approximate pi by 3.14

V =5086.80 cm^3

If we approximate pi by pi button

V =5089.3800099 cm^3

Answer:

V=5089.380099cm^3

Step-by-step explanation:

V=πr^2h

V=π(9)^2(20)

V=π(9)^2(20)

V=5089.380099cm^3

Answer:

0.471

Step-by-step explanation:

Calculation for the probability that they spend less than $2,000 per year on insurance per year

First step is to find the base

Base =$2,000-$400

=$1,600

Second step is to find the probability using this formula

P=1/b+a×base

Where,

b represents $3,800

a represents $400

base represents $1,600

Let plug in the formula

P=1/$3,800-$400×$1,600

Hence,

P=1×$1,600/$3,800-$400

P=$1,600/$3,400

P=0.471

Therefore the probability that they spend less than $2,000 per year on insurance per year will be 0.471

Answer:

256 in ^2

Step-by-step explanation:

The area of the base B = 12*5 = 60 in ^2

The height is 14 inches

The perimeter of the base is

2 ( l+w) =2 ( 12+5) = 2 ( 17) = 34

The surface area  is  = 2B + Ph = 2 * 60 + 34*4

                                                    = 120 + 136

                                                    =256

Answer:

No

Step-by-step explanation:

2 = 3 inches

2x5=10

10 = 3x5 of 15 inches

so no and it would take 8 minutes to fill up the tub

Answer:10

Step-by-step explanation:

8/80=1/10*100=10

Answer:

not a triangle

Step-by-step explanation:

a=2, b=9,c=12

check for each side :

if a+b>c                 a+c>b                       b+c>a

if 2+9>12                2+12>9                     9+12>2

not true                  true                          true

not a triangle

Answer:

Ok, the first step to see the behavior of this data is doing a graph of it,

So we can see that it looks like an reversed V. (at the bottom of the answer you can see the graph)

Then, we can model this with a piecewise function like:

For the first part we can take the two pairs:

if 11 am is our t = 0h

(0, 85) and (6, 93)

then the linear equation

y = a*t + b

a = (93 - 85)/(6 -0) = 8/6.

and b = 85.

then the linear equation is:

y = (8/6)*t + 85. for 0h ≤ t ≤ 6h

The second part of this equation can be modeled with the points

(6, 93) and (11, 84)

then we have:

y = s*t + c

s = (84 - 93)/(11 - 6) = -7/5

and we can find the value of c as:

93 = (-7/5)*6 + c

93 + (7/5)*6 = 101.4

then this second part is:

y = (-7/5)*t + 101.4 for 6  ≤ t ≤ 11h

then, in conclusion we have:

         y = (8/6)*t + 85. for 0h ≤ t ≤ 6h

f(x) =

         y = (-7/5)*t + 101.4 for 6  ≤ t ≤ 11h

Answer:

y=7.496sin(0.3243x+0.315)+73.489

Step-by-step explanation:

simply put the data into a graph and graph each equation to see if its matched

Answer:

by using formula of median you can do it.

Answer:

put the numbers in order

20,20,23,39,60,64,82

Find the number in the middle

39 is in the middle because there is 3 numbers on each side so it is the median.

Divide by 3.

39 / 3 = 13

Hope this helps

Step-by-step explanation:

Answer:

The regular speed is 2 times greater than the reduced speed.

Step-by-step explanation:

The information regarding the regular elevator speed was missing.

The regular elevator speed is 10 miles per hour, if the reduced speed for strong winds is 5 miles per hour, the ratio between those speeds is:

[tex]r=\frac{10}{5} \\r=2[/tex]

The regular speed is 2 times greater than the reduced speed.

Answer:

The correct option is;

The domain is all real numbers and the range is all real numbers greater than or equal to -4

Step-by-step explanation:

A function defines an output given an input and the set of all the possible inputs to a function is the domain of a function such that there is an output, such that the domain is the set of x values which are points on the curve of the function

The set of outputs that are produced from a given input is the range of a function

The given function is f(x) = (x + 2)(x + 6)

From the curve we see that the minimum y-coordinate, f(x), value is at -4, which is the lower bound of the range, while the x-coordinate values, the domain can be seen extending past the graph sheet which from the expression for the function also (f(x) = (x + 2)(x + 6)) indicates that the x values is the set of all real numbers (on the number line)

Therefore, the correct option is;

The domain is all real numbers and the range is all real numbers greater than or equal to -4.

Answer:

The domain is all real numbers and the range is all real numbers greater than or equal to -4

Step-by-step explanation:

Answer:

speed while going = 42, while returning home = 28

Step-by-step explanation:

let his speed on the way to his parents house is (x)

then his speed while returning is x - 14

Time = Distance / speed

528 / x + 528 / x -14 = 22

multiplying the denominator ...

528x + 528x +7392 = 22x^2 +14x

1056x + 7392 = 22x^2 + 308x

0 = 22x^2 -748x -7392

"dividing by 22"

0 = x^2 -34x-336

0 = (x+8) (x-42)

x must be 42

finally jon's speed while back home is  42 - 14 = 28

Answer:

Please find the attached graph

Melinda sold 8 packages of coffee and 6 packages of pastries

Step-by-step explanation:

The parameters given are;

Number of Packages of coffee = x

Number of Packages of pastries = y

Price of each package of coffee = $6

Price of each package of coffee = $4

Number of packages of packages of coffee sold = 2 more than packages of packages pastries sold

x = 2 + y

y = x - 2................(1)

Sum of money made in the fundraiser = $72

∴ x × $6 + y × $4 = $72

y = ($72 - x × $6)/$4 = 18 - 3/2·x

y = 18 - 3/2·x.........(2)

The solution is

x - 2 = 18 - 3/2·x

x + 3/2 = 18 + 2 = 20

5/2·x = 20

x = 2/5×20 = 8

y = x - 2 = 8 - 2 = 6

This is the answer from plato/edmentum.

Answer:

Step-by-step explanation:

Given the expression [tex](\frac{1}{23} )^{1000} \\[/tex], for us to know the closest integer, the following step must be carried out;

[tex](\frac{1}{23} )^{1000} \\=\frac{1^{1000} }{23^{1000} } \\= \frac{1}{23^{1000}} \\= \frac{1}{5.34 * 10^{1361} }} \\= 1.87*10^{-1362}[/tex]

The value gotten is a very small value which is close to 0

Answer:

The center  is (-8/3,0) and the radius is 1

Step-by-step explanation:

(x+8/3)^2 + y^2 = 1

We know the equation of a circle is given by

(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius

Rewriting

(x- -8/3)^2 + (y-0)^2 = 1^2

The center  is (-8/3,0) and the radius is 1

Answer:

B. 84 deg

Step-by-step explanation:

Sides DE and FE are congruent since they both have the same length.

That makes angles D and F congruent.

m<D = m<F = 48

The sum of the measures of the angles of a triangle equals 180 deg.

m<E + m<D + m<F = 180

m<E + 48 + 48 = 180

m<E = 84

Answer:

one tribe only or in combination with another tribe plus in combination with any other race.

Step-by-step explanation:

United States Census Bureau (USCB) is the governmental agency saddled with the responsibility of providing data about the citizens of America and her economy. The Census Bureau was founded on the 1st of July, 1902 and has its headquarter in Suitland, Maryland, United States of America.

The U.S. Census reports Native Americans by one tribe only or in combination with another tribe plus in combination with any other race.

Native Americans are the indigenous people (citizens) of the United States of America and they are also known as the American Indians. The Census Bureau reports them by one tribe only such as Cherokee, Apache, Hopi, Chinook etc or in combination with another tribe such as Aleuts, Tlingit, Chenega, etc plus in combination with any other race such as Black Americans, Asian Americans, White Americans, Native Hawaiian etc.

Answer:

d

Step-by-step explanation:

google

Answer:

[tex] \boxed{\huge{\sf f(x) = 1}} [/tex]

Given:

[tex] \sf f(x) = \frac{x}{2 + 8} [/tex]

To Find:

[tex] \sf f(x) \: when \: \bold{x} = 10[/tex]

Step-by-step explanation:

[tex] \sf Evaluate \: f(x) = \frac{x}{2 + 8} \: where \: \bold{x} = 10 : \\ \sf \implies f(x) = \frac{x}{2 + 8} = \frac{10}{2 + 8} \\ \\ \sf 2 + 8 = 10 : \\ \sf \implies f(x) = \frac{10}{ \boxed{\sf 10}} \\ \\ \sf \frac{ \cancel{\sf 10}}{ \cancel{\sf 10}} = 1 : \\ \sf \implies f(x) = 1[/tex]

Answer: [tex]2(xy )^{2}[/tex]  the same thing as 2([tex]x^{2} y^{2}[/tex])

Step-by-step explanation:

You multiply 2 by x times y squared.

Answer:

x= 150

Step-by-step explanation:

X/5 = 30

x = 5×30

x= 150

Answer:

150

Step-by-step explanation:

[tex]\frac{x}{5}[/tex] = 30

→ Multiply both sides by 5 to isolate x

x = 150

Answer:

(A)[tex]x + 3= x^2 + 2x-4[/tex]

Step-by-step explanation:

Given the equations:

[tex]y = x + 3\\y= x^2 + 2x-4[/tex]

Substitution simply means replacing the variable y in the second equation with its equivalent x+3 from the first equation.

Substitution of y into [tex]y=x^2 + 2x-4[/tex] gives us:

[tex]x + 3= x^2 + 2x-4[/tex]

The correct option is A.

Equal steps mean each number is the same distance from the previous one

From -2 to 28 is 28 units

There are 4 spaces between the numbers

28/4 = 7

Each number is in increase of 7

-2 + 7 = 5

5+7 = 12

12+7 = 19

19+7 = 26

The third number would be 12

Answer:

Step-by-step explanation:

Density of copper = 9.86 g / cm^3 = 9860 kg / m^3

= 9.86 x 1 / 1000 kg / cm^3 = 9.86 / 1000 Kg / cm^3

= 0.00986 kg / cm^3

= 9.86 x 1 / 1000 kg (1 / 100 m)^3

= 9.86 x 1000000 / 1000 kg / cm^3

Mass "m" = 9860 kg / m^3

thus the mass of copper in solid form is m =  9860 kg / m^3

Answer:

y = -3x + 8

Step-by-step explanation:

(1, 5)  ; (-2, 14)

[tex]Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{14-5}{-2-1}\\\\=\frac{9}{-3}\\\\=-3[/tex]

m = -3   ; (1 , 5)

Equation: [tex]y-y_{1}=m(x-x_{1})[/tex]

y - 5 = (-3)(x - 1)

y - 5 = -3x + 3

y = -3x + 3 + 5

y = -3x + 8

Answer:

A

Step-by-step explanation:

Answer:

the answer is 126

Step-by-step explanation:

beacuse if you sell 7 bundles for every one you get 18 so 18+18+18+18+18+18+18=126

Answer:

126 books

Step-by-step explanation:

There are 18 books per bundle and 7 bundles

So you would multiply 7 with 18 and get your answer of 126 books to sell

Answer:

False

Step-by-step explanation:

The negative reciprocal of -1/5 would be 5, and the negative reciprocal of -5 is 1/5. A way to double-check is all negative reciprocals add to -1.

-1/5 + -5= -5 1/5

Hope this helps and you understand negative reciprocals more for future problems ahead.