Given the following functions: f(x) = x2 – 5 and g(x) = x - 3.
Find f(g(x))

Answers

Answer 1

Answer:

f(g)x))= x^2 -6x +4

Step-by-step explanation:

first, plug in g(x) into f(x): f(g)x)) =(x-3)^2 -5

then, you simplify the (x-3)^2 into (x-3)(x-3): f(g)x))= (x-3)(x-3) -5

when you distribute the two (x-3) you end up with: f(g)x))= x^2 -6x +9 -5

finally, you combine like terms and subtract 5 from 9 and your final answer is : f(g)x))= x^2 -6x +4

note: x^2 is x squared or exponent of 2


Related Questions

Edgar made an initial deposit of $3200 into a deposit account, and plans to contribute an additional $175 every month. The account does not pay any interest. After how many months will he have a total of $6000?

Answers

Answer:

16

Step-by-step explanation:

How much does 4 7/5 kg of candy cost if 5/6 of candy costs $7.50?

Answers

Answer:

It costs $42.43

Step-by-step explanation:

Answer:

$1.35

Step-by-step explanation:

7.5÷ 5/6=0.25

0.25x4 7/5=1.35

5. (01.07A MC)
Which number line best shows the position of ? (5 points)
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3
7
HHH H
-4 -3 -2 -1 0 1 2 3
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-4
-3 -2
-1 0 1 2
3
4
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3 4 5
-5 -4
-3 -2
-1 0 1 2

Answers

Answer:

if u could include a photo it may help more ..thanks

Emma is building a scale model of a jet airplane. The real airplane has a wingspan of 200 feet and a length of 240 feet. If Emma’s model has a wingspan of 30 centimeters, what is the length of the model ?

Answers

Answer:

Since it is a to-scale model,

the ratio of the wingspan to the length of both the airplanes must be equal

wingspan1 = 200 ft               wingspan2 = 30 cm

length1 = 240 ft                     length2 = x cm

wingspan1 / length1 = wingspan2/length2

replacing the variables

200 / 240 = 30 / x

x = 30 * 240/200

x = 36 cm

Therefore, the length of Emma's airplane is 36 cm

Answer:

Step-by-step explanation:

Will give brain if correct segment addition

Answers

Answer:

13) 28

14) 22

15) 24

16)13

Step-by-step explanation:

13) Because they all lie on the same line, AC would be AB+BC, or 16+12, or 28.

14) Same thing as 13, 13+9=22

15) Same thing as others but make an equation

-1+2x+11=3x+3

Simplifying the equation, we get x=7. Now, we plug in x=7 to 3x+3 to get AC.

3(7)+3=21+3=24

16) build the equation:

x+14+x+10=22

2x+24=22

2x=-2

x=-1

Now plug in x=-1 to x+14.

-1+14=13

Find the value of x
(6x+7) (8x-17)

Answers

Answer:

x=12

Step-by-step explanation:

6x+7=8x-17

-6x     -6x

7=2x-17

+17    +17

24=2x

÷2   ÷2

12=x

x=12

solve for brainliestA keem measured the capacity of a glass as
2 7 0 mL and the capacity of a Th e rm o s® a s
1 L. He said that the ratio 270 :1 compare s
the capacity of the glass with the cap a c i t y
of the Th e rm o s®. Is his reasoning corre c t ?
E x p l a i n .

Answers

Answer:

[tex]his \: reasoning \: is \: correct.[/tex]

Step-by-step explanation:

[tex]since \: the \: ratio \: of \: the \: glass \: to \:that \\ \: of \: the \: thermos \: is \: in \: the \: fraction : \\ \frac{2 7 0 mL }{1mL} \: which \: is \:270 mL : 1mL \\ then \: the \: keem \: is \: right.[/tex]

What is the interquartile range of the following data set?
45, 12, 48, 96, 61, 84, 29, 1,72,5,14
a.45
b.33
c.27
d.60
(apex)

Answers

Answer:

The interquartile range is 60 ⇒ D

Step-by-step explanation:

The interquartile range is the difference between the upper quartile and the lower quartile

Let us explain how to find the interquartile range

Arrange the number from smallest to greatestFind its median Q1 (the middle number in the set of numbers)Find the lower quartile Q1 which is the median of the set of the numbers before the median Find the upper quartile Q3  which is the median of the set of the numbers after the median Subtract Q1 from Q3 the answer is the interquartile range

Let us do these steps to find it

∵ The data set is {45, 12, 48, 96, 61, 84, 29, 1, 72, 5, 14}

→ Arrange them

∴ The data set is {1, 5, 12, 14, 29, 45, 48, 61, 72, 84, 96}

∵ They are 11 numbers

∴ The middle number is the 6th number (5 before it and 5 after it)

∵ The 6th number is 45

The median is 45

→ Find the lower set (before the median)

∴ The lower set is {1, 5, 12, 14, 29}

→ Find the lower quartile Q1

∵ The lower quartile is the middle number in this set

∵ There are 5 numbers

∴ The middle one is the 3rd

∵ The 3rd is 12

Q1 = 12

→ Find the upper set (after the median)

∴ The upper set is {48, 61, 72, 84, 96}

→ Find the upper quartile Q3

∵ The upper quartile is the middle number in this set

∵ There are 5 numbers

∴ The middle one is the 3rd

∵ The 3rd is 72

Q3 = 72

→ Subtract them to find the interquartile range

∵ The interquartile range = Q3 - Q1

∴ The interquartile range = 72 - 12

The interquartile range = 60

51 = 11b – 15
Solve for b

Answers

b= 6 add 15 to 51 then divide by 11

Answer:

x = 6

Step-by-step explanation:

51 = 11b – 15

66 = 11b

b = 6

look into the sky and how many stars do u see

Answers

Answer:

its day time rn

Step-by-step explanation:

step by step explanation

I see 1,000 stars that’s how much I see

jana is a graphic designer. She created a poster for her friend’s movie on an 8.5 inches by 11 inches sheet of paper. Her friend’s movie has gotten a lot of publicity, and they want to put Jana’s poster on a billboard that is 12 feet wide and 16 feet high. How can they blow up the poster as much as possible while maintaining the ratio of the sides? a) Determine the length and width of the largest possible poster. b) What is the scale?

Answers

This question is of which class

what is 1000000000000x0??????

Answers

Answer:

0

Step-by-step explanation:

Everything multiplied by 0 is 0.

The distance (d) in meters that an ant can travel varies directly with the amount of time (t) in hours it spends walking. assume that an ants constant off proportionality is 18.write the equation to the represent the proportional relationship between d and t using the information given. What does the constant of proportionality represent in this problem?

Answers

The constant is 18

To find distance (d) you would multiply the constant by the time(t).

D = 18t

Distance is speed x time, so the given constant would be the speed of the ant.

Can someone please help, ty!!

Answers

I presume it is A although I am not sure...

Answer:

B i think

Step-by-step explanation:

The Gators football team gained 4 yards on its first play, but lost 9 yards on the
second play. Which of the following best represents the result of these two
plays?

Answers

Answer:

-5 yards

Step-by-step explanation:

4 - 9

= -5

in that two plays:

loss 5 yards

Homer sold cupcakes and cookies yesterday. Each cupcake sold for $2.25 and each cookie sold for $0.25. At the end of the day, Homer has sold $55.50 worth of cookies and cupcakes. If he sold 54 cupcakes and cookies combined, how many cupcakes were sold and how many cookies were sold

Answers

Answer: 21 cupcakes and 33 cookies were sold.

Step-by-step explanation:

Let x= Number of cupcakes

y = Number of cookies

As per given,

x+y= 54       (i)

Cost: 2.25x+0.25y=55.50          (ii)

Multiply 0.25 to (i0, we get

0.25x+0.25y = 0.25(54)

⇒0.25x+0.25y = 13.5         (iii)

subtract (iii) from (ii), we get

2x=42

Divide both sides by 2, we get x= 21

Put this in (i) , we get 21+y =54 ⇒ y= 54-21= 33

Hence, 21 cupcakes and 33 cookies were sold.

Do you think that students should be proficient in addition before learning multiplication?


answer in 175 words! thank you so much :)

Answers

Answer:

Yes students should be confident in addition before they proceed to mulplication.This is because addition is the base of multiplication and requires mastery before you start,so It would be much easier to solve

in abook 5/8 of the pages have pictures on them given that 70 pages have at least one picture on them work out the total numb in the pages​

Answers

Answer:

112 pages

Step-by-step explanation:

Setup a ratio of 5/8 to 70/x and use the butterfly method to solve the equation and get 112. (I know I'm late)

Expression for divide the difference between 1200 and 700 by 5

Answers

Step-by-step explanation:

(1200-700)/5

=500/5

=

The expression results to 100.

What is Expression?

Mathematical statements are called expressions if they have at least two terms that are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation.

Given:

divide the difference between 1200 and 700 by 5

so, mathematically

(1200- 700)/5

= 500 /5

= 100

Hence, the expression results to 100.

Learn more about expression here:

https://brainly.com/question/14083225

#SPJ5

What number is 30 percent of 50

Answers

Answer:

15 (50*0.3)

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

0.3*50 = 15

Please answer this math questions ASAP thanks the picture is attached !!

Answers

Answer:

The answer is C

Step-by-step explanation:

Both f(x) and g(x) have a domain of [0,infinite). and a range of [0, infinite).

The answer would be C

Can someone help me with Number 7 i’ll give the brainly thingy

Answers

Answer:

$9.50

Step-by-step explanation:

the answer could be 6.5 I think

What is-1 5/6 times 6 1/2

Answers

Answer:

-11.9166666667

Step-by-step explanation:

Answer:

-11.9166666667

Step-by-step explanation: I just seached it up

1 gallon = 4 quarts
1 quart = 2 pints
1 pint = 2 cups
1 cup = 8 ounces
How many ounces are in 4 gallons?

Answers

Answer:

512 ounces

Step-by-step explanation:

Answer:

512

Step-by-step explanation:

multiply the volume value by 128


PLSSS HELPPPPP ASSAAAPPPP

Answers

Answer:

∡BEN=122

x=17

Step-by-step explanation:

Since you know that when two sides are congruent like this then the to angles are congruent then you know that angle BNE equals 29.

Once you know that since we know that 180 is the sum of all three angles set an equation like this:

180=29+29+(11x-65)

Take off parentheses since you can't simplify in them.

180=29+29+11x-65

Combine like terms.

180=11x-7

Solve for x.

187=11x

x=17

Plug that in to (11x-65) to find angle BEN

angle BEN = 11(17)-65

angle BEN=122

1 1/2 x 3/4 pls full aswer

Answers

Answer:

1.125 or 9/8

Step-by-step explanation:

The basketball team scored a total
of 80 points, all off of 2-point
baskets and 3-point baskets (no
they didn't make any free throws). If
six 3-point baskets were made, find
the number of 2-point baskets
made.

Answers

Answer:

31 2-point baskets were made

Step-by-step explanation:

We can find how many of the 80 points were made with 2-point baskets by subtracting all the points gained through 3-point baskets. Since there are six 3-point baskets:

# of points through 2-point baskets = 80 - 6(3) = 80 - 18 = 62

To find the number of 2-point baskets that were made, divide the points by the worth of the basket:

# of 2-point baskets made = 62/2 = 31

9514 1404 393

Answer:

  31

Step-by-step explanation:

6×3 = 18 of the 80 points were from 3-point baskets, so the remaining 62 points were 2-point baskets.

  62 = 2b

  62/2 = b = 31

31 2-point baskets were made.

0.02 divided by 924.3

Answers

Answer: 0.00002163799

Step-by-step explanation:

Answer:

46,215

Step-by-step explanation:

you just have to divide the bigger number first and then the smallest

$4.30 makeup; 40% discount

Answers

Answer: free makeup

Step-by-step explanation: girl u got it

Answer:

40 percent of $4.30 is $1.72 and the cost of the makeup after the discount would be $2.58

Step-by-step explanation:

Help please.............

Answers

the answer is 2442.81 may i please get brainliest
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