if f(x)=3x+5 and g(x)=x^2+1, what is the value of (g o f)(x)?

Answers

Answer 1

Answer:

9x²+30x+26

Step-by-step explanation:

f(x) =3x+5

g(x) =x²+1

(gof)(x) = g(f(x)) = g( 3x+5) = (3x+5)² +1 = 9x²+30x+25+1 = 9x²+30x+26


Related Questions

if you multiply a certain number by 4 and then by 25 what is the number? (i know the answer but how do i write it in an algebraic equation?)​

Answers

Answer:

the algebraic equation would be

4n x 25

An equation with no solutions
3x + 7 = X + 3

Answers

Answer:

X = -2

Step-by-step explanation:

Hope this helps

express 450 g as a percentage of 20 kg

Answers

Answer:

Step-by-step explanation:

convert either gram into kg or kg into gram

lets convert kg into g

1 kg=1000g

20kg=1000*24g

=20000g

450/20000*100%

450/200%

2.25%

first convert 450 g to kg = 0.45 kg

Now 0.45 kg as a. percentage of 20 kg = 0.45/20×100= 2.25%

In the Tide Pool tank at the Atlantic Aquarium, there are 10 crustaceans and 25 fish. The Deep Blue tank has the same ratio of crustaceans to fish. There are 50 crustaceans in the Deep Blue tank.
How many fish are in the Deep Blue tank?

Answers

Answer:

It would be 125 fish.

Step-by-step explanation:

This is because since there are 10 crustaceans for every 25 fish, there are 2.5 times more fish than crustaceans. Therefore, if there were 50 crustaceans, you would do 50 * 2.5 to get 125 fish.

Circles Test
Assume that lines that appear tangent are tangent. Find the value of the variables,
208
A. a = 40; b=130; c = 70
B. a = 36; b=140; c = 70
Ca = 20; b=160; C = 90
D. a = 40; b=140; c = 90

Answers

Answer:

[tex]D. a = 40; b=140; c = 90[/tex]

Step-by-step explanation:

[tex]a=2(20)\\\\=40[/tex]

---------------

[tex]b=180-40\\\\=140[/tex]

---------------

[tex]c=90[/tex]

--------------------------

hope it helps...

have a great day!!

Find the vertex of the graph of the equation $y = -2x^2 + 8x - 15.$

Answers

Answer:

(2,-7)

Step-by-step explanation:

EASY MATH PLEASE HELP! :)

I WILL GIVE BRAINLIEST!

QUESTION: Find the area!

Answers

Answer:

Total Area: 60

Step-by-step explanation:

The area of the rectangle is the easiest to find. Just multiply 12x4.

12x4=48

For the triangle. You can subtract 4 from the height of 10ft.

The height of the triangle is now 6ft.

To calculate the area of a triangle, multiply the height by the base (this is also known as the 'width') then divide by 2.

Btw the image was really small. Kind of hard to see the numbers.

HELP! THIS IS DUE TODAY, and i will mark brainlest!

Answers

Answer:

Option 3

Step-by-step explanation:

y=3+x is a straight line that runs through y=3 and x=-3

So your 3rd option here is the one.

Answer:

I think it's the third option

Check the following pair of linear equations is consistent or inconsistent

5x - 3y = 11, -10x + 6y = -22​

Answers

Answer:

Consistent

Step-by-step explanation:

It was a solution.

5x-3y=11
So first you need to switch -3y with 11 first because the the formula is y=mx+c
So, 5x -11= 3y
Now make y as the subject: 3y= 5x-11
Now divide both of the numbers by 3 to make it y=mx+c
So, y=3/5x-11
y=1.67x-3.67

Now try the another one by yourself by using my steps and remember that when you are switching the side. suppose if 3=5x if I will switch the side for this it will move from positive to negative so it will be -5x=-3.
If you want to switch from negative to positive it will be 3=5x (this is just an example)

I hope you understood my explanation. Thank me later.

The amount of rona cases in Gotham city is 540 people for the first ½ of 2020. In July, a rona spike at the rate of 5.2 people for each day in the month hits. Additionally, the joker has infected all of Arkham Asylum’s 225 patients with the virus. What month will you hit 1,000 cases of rona in Gotham?

Answers

Answer:

Imma but it in the comments because i can't put it on here plus i can't put the thing on here either that's why i didn't do it yesterday

Step-by-step explanation:

Pls do it for me thank you so much

Answers

Answer:

(a) Attached to this response.

(b)

(i) 0 cups = 0.275

(ii) 4 cups = 0.125

(iii) 8 cups = 0.025

Step-by-step explanation:

(a) The frequency and relative frequency table has been attached to this response.

i. The first column, labelled x, is the number of cups of coffee consumed per day.

ii. The second column, labelled f, is the number of people that consumed x cups of coffee per day. It is found by counting the number of occurrences (i.e frequency) of the numbers of the first column, x, in the given data.

For example, 0 in first column appears 11 times in the given data. Also, 5 in the first column appears 4 times in the given data.

iii. The third column, labelled r, is the relative relative frequency of the number of cups of coffee. It is calculated by dividing the frequency of the cups of coffee by the total number of people that consumed it. As shown on the table, it is calculated by dividing the each of the values on the second column by the sum of the values on that same column (second column).

For example, the relative frequency of 2 cups of coffee is given by:

r = 7  ÷ 40 = 0.175

Also, the relative frequency of 4 cups of coffee is given by;

r = 5 ÷ 40 = 0.125

(b) The probability (Pₓ) that a randomly selected person consumed x cups of coffee is given by;

Pₓ = frequency of x ÷ total frequency

This is also the relative frequency of x

Therefore,

(i) The probability (P₀) that a randomly selected person consumed 0 cups of coffee is given by;

the relative frequency of 0 = 0.275

(ii) The probability (P₄) that a randomly selected person consumed 4 cups of coffee is given by;

the relative frequency of 4 = 0.125

(iii) The probability (P₈) that a randomly selected person consumed 8 cups of coffee is given by;

the relative frequency of 8 = 0.025

(please hurry) Which expression is equivalent to -6x³•x•y²•y^6?

-6x³y^8
-6x²y^12
-6^4y^8
-6^4y^12

Answers

Answer:

The third one

Step-by-step explanation:

Answer:

the third one

Step-by-step explanation:

In another right angle triangle the hypotenuse is 53, and the one of the side lengths is
28. Please find the missing side length,

Answers

Okay so, you use A^2+B^2=C^2
A is 28 (side.) And C (hypotenuse) is 53.
So, 28^2+B^2=58^2 (^2 is squared)
We dont know what the other side is, so we keep it “B.”
28 squared is 784. 53 squared is 2,809.
So now, we take away ^2 since it was already squared. 784+B^2=2,809
Now, we subtract 784 from both sides
784+B^2=2,809
-784 -784
B^2= 2,025
Then you do the opposite of squaring, you square root
45. the missing side is 45

find the surface area of a square based pyramid with a side length of 5cm and a slant height of 5cm

Answers

Answer:

Step-by-step explanation:

The surface area of a square pyramid = 1/2 * slant height * base perimeter + area of base

 The slant height is 5 cm

The base perimeter is 4 * 5 cm = 20 cm

The area of the base is 5 cm * 5 cm = 25 cm**2

Plugging into the formula the area =

 

1/2 * 5 cm * 20 cm + 25 cm**2 =

5 cm * 10 cm + 25 cm**2 =

50 cm**2 + 25 cm**2 = 75 cm**2

y=7(3)^-4 please helpppp

Answers

Answer:

Step-by-step explanation:

y=7(3)^-4

y=7*1/3^4

y=7/81

pls answer thank you

Answers

435.6

mark me brainliestt pls :)))

SA = 411.4 cm2

Explanation:

Area of square = s x s = 11 x 11 = 121 cm2

Area of triangle = 1/2 x b x h = 1/2 x 11 x 13.2 = 72.6 cm2

Area of 4 triangles = 72.6 x 4 = 290.4 cm2

Total surface area = 121 + 290.4 = 411.4 cm2

which value of x is in the domain of f(x) = square root of x-5

Answers

The answer is A. x= 5

Santos went on a bike ride of 90 miles. He realized that if he had gone 24 mph faster, he would have
arrived 12 hours sooner. How fast did he actually ride?


Need an answer fast

Answers

Answer:  6 mph

========================================

Explanation:

distance = rate*time

90 = r*t

where r is the slower speed and t is the time it takes when going that slower speed.

If r is bumped up 24 mph faster, to r+24, then Santos takes t-12 hours to get there. The second equation is

90 = (r+24)(t-12)

-------------------------------------

We can solve the first equation for r to get r = 90/t

Then plug this into the second equation and do a bit of algebra

90 = (r+24)(t-12)

90 = (90/t+24)*(t-12)

90 = 90 - 1080/t + 24t - 288

90t = 90t - 1080 + 24t^2 - 288t

0 = 90t - 1080 + 24t^2 - 288t-90t

0 = 24t^2 - 288t - 1080

24t^2 - 288t - 1080 = 0

If you apply the quadratic formula, then you should get the two solutions t = -3 and t = 15. Due to time constraints, I'll skip these steps.

We'll ignore the negative t value. It makes no sense to have a negative time.

So we focus on t = 15 as the only solution.

-------------------------------------

If t = 15, then,

r = 90/t

r = 90/15

r = 6

Santos rode his bike at 6 mph at first. Going this speed means he takes 15 hours.

If he rode 24 mph faster, at 6+24 = 30 mph, then he would ride for 15-12 = 3 hours instead. Note that 90/30 = 3.

YO HELP ME OUT!!!! Question is in the screenshot below PLEASE answer correctly, I am running out of time!

Answers

Answer:

V = 696.91

Step-by-step explanation:

Volume of a sphere formula:

V = 4/3πr³

Given:

d = 11

r = d/2

r = 5.5

Work:

V = 4/3πr³

V = 4/3π(5.5)³

V = 4/3π(166.375)

V = 696.91

A store owner has 31.2 pounds of candy. If he splits the candy equally into 6 boxes, how many pounds of candy will each box contain?

Answers

Answer:

5.2

Step-by-step explanation:

if you take 31.2 and divide it by 6 you will get 5.2

Answer:

5 1/5 pounds which equals 5.2 pounds

Step-by-step explanation:

31 2/10 = 31 1/5

31 1/5 = 156/5

156/5 ÷ 6 means 156/5 x 1/6

multiply numerators to get 156

multiply denominators to get 30

156/30 = 5 6/30 or 5 1/5 simplified

please help! i will give brainliest if you answer all and correctly

Answers

Answer:  a is 21 b is 45 and c is yes more people are going above because the median is above the speed limit

Step-by-step explanation:

Can someone please help me thank you

Answers

Answer:

The Slope Is 0.6

Step-by-step explanation:

Formula: [tex]m=\frac{yb-ya}{xb-xa}[/tex]

Solution:

[tex]m=\frac{-10-2}{-16-4}[/tex]

[tex]m=\frac{12}{-20}[/tex]

m=0.6

Answer:

the answer would be -12/-20 or 0.60

The image below shows F with perpendicular tangent lines at points A and B.

Will be reported if you add something that does not match the question

Answers

Answer:

∠AFB= 90°  

∠ADB= 360-90

270Shape AFBC →is a Square because every angle is 90 degrees.

--------------------------

hope it helps...

have a great day!!

The perimeter of a rectangle is 35 cm. The rectangle's area (in sq. cm) as a function of its length (in cm) is graphed.

What is the approximate average rate at which the area decreases, as the rectangle's length goes from 13 cm to 16 cm?


Options:
1: 10 1/3
2: 10 2/3
3: 11
4: 11 1/3

Answers

Answer:

2

What is the extract trying to achieve? in The Explorer’s Daughter




Jimmy and Jennifer are selling pies for a school fundraiser. Customers can buy apple pies and blackberry pies. Jimmy sold 10
apple pies and 2 blackberry pies for a total of $80. Jennifer sold 10 apple pies and 3 blackberry pies for a total of $100. Find the
cost each of one apple pie and one blackberry pie.

Answers

Answer:

One apple pie is $4 and one blackberry pie is $20

Step-by-step explanation:

Create a system of equations where a is the cost of one apple pie and b is the cost of one blackberry pie:

10a + 2b = 80

10a + 3b = 100

Solve by elimination by multiplying the top equation by -1, then adding the equations together:

-10a - 2b = -80

10a + 3b = 100

Add these together:

b = 20

So, one blackberry pie is $20. Plug in 20 as b into one of the equations, and solve for a:

10a + 2b = 80

10a + 2(20) = 80

10a + 40 = 80

10a = 40

a = 4

So, one apple pie is $4.

One apple pie is $4 and one blackberry pie is $20

The area of a square tile is the same as the area of a rectangle tile that is 18 inches long and 8 inches wide.

What is the side length of the square tile?

Please answer seriously it’s important.

Answers

Step-by-step explanation:

Brother Answer is 12 inches

I REALLY NEED HELP RIGHT NOW! T^T

Applying the 30-60-90 Theorem, Solve this.​

Answers

Answer:

Step-by-step explanation:

take 30 degree as reference angle

using cos rule

cos 30=adjacent/hypotenuse

[tex]\sqrt{3}[/tex]/2=7[tex]\sqrt{3}[/tex]/y(do cross multiplication)

14[tex]\sqrt{3[/tex]=y[tex]\sqrt{3}[/tex]

14[tex]\sqrt3}[/tex]/[tex]\sqrt{3}[/tex]=y

14=y

for x

using pythagorsa theorem

H^2=P^2+B^2

14^2=X^2+(7[tex]\sqrt{3}[/tex])^2

196=X^2+147

196-147=X^2

49=X^2

[tex]\sqrt{49}[/tex]=X

7=X

Find the solution by grouping

Answers

Answer:

Step-by-step explanation:

[tex]x^{5} -x^{4}-2x^{3} +2x^{2} =0\\\\x^{4} (x-1) -2x^{2} (x-1) =0\\\\(x^{4} -2x^{2} ) (x-1)=0\\\\ x^{2} (x^{2} -2)(x-1) =0[/tex]

solutions are

x² =0 so x=0

x²-2 = 0 so x= ±√2

x-1 =0 so x= 1

A jar with screws weighs 2.9 kg. A similar jar with nails weighs 700 g. The screws weigh five times as much as the nails. How much does the jar weigh?

Answers

The jar of screws weight 14.5kg

You roll a 6-sided die.




What is P(divisor of 63)? Choose the closest answer.

Answers

Answer:

the divisors of 63 are

Step-by-step explanation:

1,3,7,9,21,63

Answer:

Fraction Form: 2/6 or 1/3

or Decimal Form: .333

or Percent Form: 33.333?%

Step-by-step explanation:

The divisors of 63 that are 1-6 is 1 and 3

So there are TWO numbers out of SIX.

We would turn that into the fraction 2/6 and then simplify (optional) it to 1/3.

Then we use 2/6 to convert it to multiple forms if needed.

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