Given that f(x) = 5x+3 and g(x) = x²-3.
Find
a f(4)
b) f(g(x))
C). g( f (2))​

Answers

Answer 1

Answer:

given;

f(x) = 5x+3

g(x) = x²-3.

Step-by-step explanation:

a f(4)=5×4+3=23

b) f(g(x))=f(x²-3)=5{x²-3)+3=5x²-15+3=5x²-12

C). g( f (2))=g(5×2+3)=13²-3=166


Related Questions

You are renting a car. You can choose a compact, mid-size,
full-size, or sports utility vehicle. From those
categories you can choose a low, average, or high priced
model. How many different automobile choices do you have?

Answers

2 automobile choices the others are just add ons

Answer:

I believe the answer is 4

Step-by-step explanation:

–5x+4

constant
coefficient:
variable:

Answers

Answer:

constant: 4

coefficient:-5

variable:x

Step-by-step explanation:

You can easily search up the definition of each word and figure it out just saying. It's fine if u wanna do this-

Come up with two additional solutions now that you have graphed the line. Justify your solution numerically. At least one of your points must include decimals or fractions.
(I ALREADY HAVE THE PLOTTED POINTS BUT I NEED TO SHOW THE WORK......PLS HELP)

Answers

Answer:

Two additional solutions are:

(21, 1/3)

(17, 5/3)

Step-by-step explanation:

We have the equation:

x + 3*y = 22

Now we want to find two solutions (x, y).

To do this, we first need to rewrite the equation, we need to isolate one of the variables on one side of the equation.

Let's isolate x.

x = 22 - 3*y

Now we can change the value of y by a known value, and then solve the equation for x.

For example, if we define:

y = 1/3

then:

x = 22 - 3*(1/3)

x = 22 - 1 = 21

x = 21

Then the point (21, 1/3) is a solution of the equation.

Now let's input another value of y, for example, we can use y = 5/3

(in both cases I used the denominator equal to 3, because the "y" variable is multiplied by 3), replacing that in the equation we get.

x = 22 - 3*(5/3)

x = 22 - 5

x = 17

Then the point (17, 5/3) is a solution of the equation.

Solve for x:
2x + 9 = 3

Answers

Answer:

x = -3

Step-by-step explanation:

2x + 9 = 3

2x = 3 - 9

2x = -6

x = -3

Answer:

- 3

Step-by-step explanation:

given

2x + 9 = 3

2x = 3 - 9

2x = - 6

x = - 6/2

x = - 3

hope it helps :)

What is the surface area of the right cone below?
A. 63r units2
B. 545 units2
C. 1267 units2
D. 997 units2

Answers

B should be the answer sorry if I’m wrong


2. Bart and Jimmy's Ice Cream Shop are designing a new logo for their company. The logo is shown
below. What is the area of Bart and Jimmy's new logo?
A 88.26 cm?
B 74.13 cm
C 58.26 cm
D 44.13 cm
HURRY

Answers

Answer:

Marie Skłodowska-Curie

Polish chemist and pioneer in the field of radioactivity. First woman to become a professor at the University of Paris.

^ po polsku być powinno

Kto Polska?

pls helpppp im so stuckk

ahhhhhgggg

Answers

Answer:

hmm easy peesy

3x+6= 21

21-6=3x

15=3x

5 = X

meet my dog; (Frankie the sleeping beauty )

Answer:

x = 5

Step-by-step explanation:

Expand:

Use distributive property:

3x + 6 = 21

3x = 15

x = 5

Divide:

(x + 2) = 21/3

x + 2 = 7

x = 5

Check your work:

3(5 + 2) = 21

15 + 6 = 21

21 = 21

Correct

Sami made $23,400 last year in income from his job. He worked 30 hours per week and worked all 52 weeks of the year. What is his hourly and weekly pay rate

Answers

Answer:

$15 / hr

$450 / week

Step-by-step explanation:

30 h x 52 w = 1560 hrs

$23400 / 1560 = $15 / hr

$15 * 30 hrs = $450 / week

What is the perimeter of triangle ABC?

12 units
13 units
14 units
18 units

\

Answers

Step-by-step explanation:

Here

A(-2,6)B(1,2)C(-2,-2)

Now,

[tex]\\ \tt\hookrightarrow AB=\sqrt{(-2-1)^2+(6-2)^2}[/tex]

[tex]\\ \tt\hookrightarrow AB=\sqrt{(-3)^2+(4)^2}[/tex]

[tex]\\ \tt\hookrightarrow AB=\sqrt{9+16}[/tex]

[tex]\\ \tt\hookrightarrow AB=\sqrt{25}=5units[/tex]

And,

[tex]\\ \tt\hookrightarrow BC=\sqrt{1+2)^2+(2+2)^2}[/tex]

[tex]\\ \tt\hookrightarrow BC=\sqrt{(3)^2+(4)^2}[/tex]

[tex]\\ \tt\hookrightarrow BC=\sqrt{9+16}[/tex]

[tex]\\ \tt\hookrightarrow BC=\sqrt{25}=5units[/tex]

And

[tex]\\ \tt\hookrightarrow AC=\sqrt{(-2+2)^2+(6+2)^2}[/tex]

[tex]\\ \tt\hookrightarrow AC=\sqrt{(0)^2+(8)^2}[/tex]

[tex]\\ \tt\hookrightarrow AC=\sqrt{8^2}=\sqrt{64}=8units[/tex]

Now

[tex]\\ \tt\hookrightarrow perimeter=5+5+8=18units[/tex]

Can you figure out the answer?​

Answers

she needs 1680 grams
Divide 480 by 4. That will give you how many grams per person. You will get 120 grams per person. Now multiply 120 by 14. That will give you the number of grams needed for 14 people. The answer will be: 1,680 grams

the original piece of a book is $25. the book is on sale for 30% off. what percent are we paying? what is the price you will pay for the book

show work please and thank you :)

Answers

Answer:

$17.50

Step-by-step explanation:

multiply 25 and 30, the divide the answer by 100, the deduct that result from the original price

Which are the roots of the quadratic function f(q) = q2 – 125? Select two options.

q = 55 StartRoot 5 EndRoot
q = -5Negative 5 StartRoot 5 Endroot
q = 33 StartRoot 5 Endroot
q = -3Negative 3 StartRoot 5 EndRoot
q = 2525 StartRoot 5 EndRoot

100 points i just need helpp

Answers

Answer:

5sqrt(5) = q

-5sqrt(5) = q

Step-by-step explanation:

f(q) = q^2 -125

To find the roots set the equation equal to zero

0 = q^2 -125

Add 125 to each side

125 = q^2 -125+125

125 = q^2

Take the square root of each side

±sqrt(125) = sqrt(q^2)

±sqrt( 5*25) = q

±sqrt( 25)* sqrt(5) = q

±5* sqrt(5) = q

±5sqrt(5) = q

Answer:

Guy above deserves brainliest

Step-by-step explanation:

NO LINKS OR ELSE YOU'LL BE REPORTED! Please give me the correct answer.Only answer if you're very good at math.

Answers

Answer:

positive

Step-by-step explanation:

hope this helps :)

Answer:

positive

Step-by-step explanation:

because your adding +2 when ur at 0

a clock chimes every 20mins
a light flashes every 8 mins
the clock chimes and the light flashes together at 8:00

how many times between 8:01 and 12:30 will the clock chime and the light flash together?
show your working (5marks)

Answers

Answer: 6 times

Step-by-step explanation:

it is a lowest common multiple question. So we list the multiples

20                   8

40                   16

60                   24

80                   32

                      40

40 is our lowest common multiple. Which means every 40 minutes they flash and chime together.

so if we add 40 minutes onto 08:00 we get 08:40 and if we add it again we get 09:20 and again we get 10:00 and again we get 10:40 and again we get 11:20 and again we get 12:00. We have to stop here as if we add 40 minutes again we will go over the given time of 12:30. If we count how many times it was added. this adds to 6. therefore the answer is 6.  

hope this helped.

The clock will chime and the light flashes together 6 times.

How many times the clock will chime and light flash together?

The Least Common Multiple (LCM) of a group of numbers is the smallest number that is a multiple of all the numbers.It is the lowest common multiple question. So we list the multiple

20                   8

40                   16

60                   24

80                   32

                     40

40 is our lowest common multiple. This means every 40 minutes they flash and chime together.

so if we add 40 minutes onto 08:00 we get 08:40 and if we add it again we get 09:20 and again we get 10:00

and again we get 10:40 and again we get 11:20 and again we get 12:00. We have to stop here as if we add 40 minutes again we will go over the given time of 12:30.

If we count how many times it was added. this adds to 6. therefore the answer is 6.  

Therefore the clock will chime and the light flashes together 6 times.

To know more about LCM follow

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Which of the following rational numbers can be multiplied by two and result in a number greater than two?
A: 5/6 B:8/9 C:9/8 D: 11/12

Answers

The answer is C. 9/8

If p is inversely proportional to the square of q, and p is 25 when q is 3, determine p
when q is equal to 5.

Answers

Answer:

p = 9 when q = 5.

Step-by-step explanation:

p is inversely proportional to the square of q

This means that:

[tex]p = \frac{k}{q^2}[/tex]

In which k is a constant multiplier.

p is 25 when q is 3

We use this to find k.

[tex]p = \frac{k}{q^2}[/tex]

[tex]25 = \frac{k}{3^2}[/tex]

[tex]k = 25*9 = 225[/tex]

So

[tex]p = \frac{225}{q^2}[/tex]

Determine p when q is equal to 5.

[tex]p = \frac{225}{q^2} = \frac{225}{5^2} = 9[/tex]

p = 9 when q = 5.

If a dog eats 1/4 pound of food each day, how many days will it take the dog to eat a 5 pound bag of food?

Answers

Answer:

20 days

Step-by-step explanation:

0.25 pound of food is eaten in 1 day

1 pound of food is eaten in 1 / 0.25

5 pound of food is eaten in 5/0.25 = 20 days

A passenger must climb 7 steps to a platform to enter the gondola. Each step is 7.5 inches. What would the equation of the ferris wheel circle be on a cartesian coordinate graph if the x-axis is the ground and the y-axis is the axis of symmetry of the ferris wheel.

Answers

Answer:

55

Step-by-step explanation:

The equation of the Ferris wheel circle is [tex](x-0)^{2} +(y - 104.375)^{2} = (100)^{2}[/tex]

What is Ferris wheel?

A Ferris wheel is an amusement park ride consisting of a large vertical wheel with places for people to sit or stand spaced evenly around the outer circumference.

What is the standard equation of the circle?

The standard equation of the circle is

[tex](x-h)^{2} +(y-k)^{2}= r^{2}[/tex]

Where,

(h, k) is the center of the circle

and, r is the radius of the circle

According to the given question.

The diameter of the Ferris wheel is 200 feet

[tex]\implies radius\ of \ the\ Ferris\ wheel = \frac{200}{2} = 100feet[/tex]

Height of the platform = 7 × 7.5 = 52.5 inches = 4.375 feet

Therefore,

[tex]k = 4.375+100 = 104.375feet[/tex]

and

[tex]h = 0[/tex]

Therefore, the equation of the Ferris wheel circle is

[tex](x-0)^{2} +(y - 104.375)^{2} = (100)^{2}[/tex]

Find out more information about equation of the circle here:

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Find cos 0
16
20
12
A.
12
16
B.
12
20
C.
16
20
10
D.

Answers

Answer:

b cuz its cosine but i flipped the numbers so it can be 20 over 12 and gave me exactly 0

The trigonometric function gives the ratio of different sides of a right-angle triangle. The value of cos(θ) in the given triangle is 0.6.    

What are Trigonometric functions?

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm \sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\\cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\\tan \theta=\dfrac{Perpendicular}{Base}\\\\\\[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

In a right angle, the cosine function of trigonometry is the ratio of the base of the triangle and the hypotenuse of the triangle.

For angle θ, the dimension of the triangle will be,

Perpendicular = 16

Base = 12

Hypotenuse = 20

Now, the measure of cos(θ) will be,

Cos(θ) = Base / Hypotenuse

           = 12 / 20

           = 6 / 10

           = 0.6

Hence, the value of cos(θ) in the given triangle is 0.6.

Learn more about Trigonometric functions here:

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what is the missing value 4+9=9+?

Answers

Answer:

TᗩKᗴ Tᕼᗴ ᗰIՏՏIᑎᘜ ᐯᗩᒪᑌᗴ ᗩՏ ᙭

[tex]4 + 9 = 9 + x \\ 4 + 9 - 9 = x \\ 4 = x[/tex]

=> ᵗʰᵉ ᵐⁱˢˢⁱⁿᵍ ᵛᵃˡᵘᵉ ⁱˢ 4.

The missing Value is 4.

What is Commutative property?

According to the commutative property, the numbers on which we operate can be swapped out or moved without affecting the result. Subtraction and division are not supported by the property, but addition and multiplication are.

Given Expression

4 + 9 = 9 + ?

According to Commutative  property

A + B = B + A

for expression

4 + 9 = 9 + 4

or let missing number be x

4 + 9 = 9 + x

x = 4 + 9 - 9

x = 4

Hence the missing value is 4.

Learn more about Commutative property;

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#9 What is the RADIUS of this circle?
5 cm
Someone plz help my friends ain’t responding

Answers

Answer and Step-by-step explanation:

The radius of this circle is 5 cm.

This is because the radius of any circle is the distance from the middle of the circle to the edge of the circle. The diagram shows us 5cm as that distance.

#teamtrees #PAW (Plant And Water)

Farmer Bob can get 10 gallons of milk from 4 cows. How many gallons of milk can he get from 14 cows?

Answers

Answer:

40 gallons of milk

Step-by-step explanation:

trust me that's the answer

The farmer will get 35 gallons of milk from 14 cows.

Process:

1) find the unit rate. do this by taking the independent value and divide it by the dependent value

10/4=2.5

2) Take this number and multiply it by the next dependent value

2.5 x 14 = 35

Alternate interior angles. if you are good at that help ​

Answers

Answer:

hi

Step-by-step explanation:

i think so,

(5x-54)⁰=(3x+16)⁰

5x-3x=16+54

2x=70

x=35⁰

3x+16=3×35+16=121

5x-54=5×35-54=121

hope it helps

have a nice day

Answer:

x = 35

The angles measure 121°

Step-by-step explanation:

Alternate interior angles are congruent. So,

3x + 16 = 5x - 54

16 = 2x - 54

70 = 2x

x = 35

Now, to find the angle measures, just plug in the value for x.

3(35) + 16 = 121°

5(35) - 54 = 121°

If one side of a cube measures x cm what is the volume

Answers

Answer:

The volume is x times x times x which is x^3 :)

write the computer program for;urgent​

Answers

Answer:

I am sorry but I don't know answer

Mrs.Kenny teaches a ceramics class.She finds that she has 7/8 pounds of clay for a project. The project requires 1/6 of a pound.How many projects can Mrs.Kenny complete withought running out of clay


PLS FAST

Answers

7/8 = 21/24 1/6= 4/24 ——-> can go into 21/24 5 times. So the answer is 5.

Asking for help again

Answers

Answer:  D. (7, 0)

Step-by-step explanation:

[tex]4x+9y=28\\-4x-y=-28[/tex] The xs can already cancel since 4x is positive for the first equation, but negative on the second.Add the equations together8y=0Divide both sides by 8 y=0Plug y into one of the equations4x + 9(0)=28Distribute 04x=28Divide both sides by 4x= 7

So your answer is (7, 0)

A dance studio is offering a ballroom dancing class. In order for the class to be held, a minimum of 20 people must sign up to take the class. The studio ballroom can accommodate up to 60 people at a time. Which inequality graph models the number of individuals that can be in the class?​

Answers

Answer:

B.

Step-by-step explanation:

The dance studio can have between 20 and 60 people. The holes are closed be 20 and 60 are included

Need help understanding this problem! If someone would explain how to do it that would be great!

In Triangle FGH, FH=6 ft, FG=11 ft, and m *Hint: Law of Cosines

Answers

Answer:

m∠G = 31.83°

Step-by-step explanation:

From the triangle FGH,

FH = 6 ft

FG = 11 ft

And measure of the included angle ∠F = 73°

We have to find the measure of ∠G.

By applying law of cosine in the triangle to get the measure of third side GH first,

GH² = FH² + FG² - 2(FH)(FG)cos(∠F)

GH² = 6² + 11² - 2(6)(11)cos(73°)

GH² = 36 + 121 - 38.593

GH = √118.407

GH = 10.88 ft

Now apply sine rule in the given triangle to get the measure of ∠G.

[tex]\frac{\text{sinG}}{FH}=\frac{\text{sinF}}{GH}[/tex]

[tex]\frac{\text{sinG}}{6}= \frac{\text{sin(73)}}{10.88}[/tex]

sin(G) = 0.527374

G = [tex]\text{sin}^{-1}(0.527374)[/tex]

m∠G = 31.83°

What type of units are used to describe volume?

Answers

units used to describe volume are cubic

Answer:

The most basic common unit is Liters (L), but people also commonly use milliliters (mL) and cubic centimeter (cm^3).

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