If f(x)=x²+1 and g(x)=5x−3, what is f(g(x))?

Answers

Answer 1

Answer:

[tex]25x^{2} -30x+10[/tex]

Step-by-step explanation:

Plug in 5x-3 into f(x) so

[tex](5x-3)^2 + 1 = 25x^2 -30x+10[/tex]


Related Questions

3. There are 45 balloons at a birthday party and only 15 of them have
prizes inside. If a student allowed to pop one balloon, what is the
probability she will not win a prize?

Answers

Answer:

2/3 she will not win a prize

Step-by-step explanation:

1 in 3 balloons have a prize therefore 2 in 3 balloons do not have a prize

Use the distributive property to rewrite the expression -1 (x -2)

Answers

Answer:

Step-by-step explanation:

Distributive property: a*(b + c) =(a*b) + (a*c)

Multiply x by (-1) and (-2) by (-1)

-1(x - 2 ) = (-1)*x - 2 *(-1)

              = -x + 2

A bakery sold 147 chocolate cupcakes in a day, which was 49% of the total number of cupcakes sold that day. How many total cupcakes did the bakery sell that day?

Answers

Answer:300

Step-by-step explanation:

Use matrix method to solve 2+y=3,x+2y=9

Answers

Answer:

x= -1, y= 5

Step-by-step explanation:

Please see the attached picture for the full solution.

Matrix A is called the coefficient matrix. This means that its elements are the coefficient of x and y. In matrix X, write the unknown variables. Then write the constants in matrix B.

Theorem:

[tex]{A}^{ - 1} A = I[/tex]

☆ I is an identity matrix and can be treated as 1 when multiplying.

[tex] {A}^{ - 1} = \frac{1}{ |A| } adj(A)[/tex]

☆ [tex] |A|[/tex] is the determinant of A

☆ adj(A) is the adjoint of matrix A

If you know how to do this correctly, please help me!! Thank you. 30 points :)

Answers

Answer:

Step-by-step explanation:

parell lines have same slopes

perpendical line slope product is -1

   

Determine the measure of the vertical angle. Find x. Step by step ? If not that’s fine.

Answers

Answer:

x=60

Step-by-step explanation:

125=2x+5

125-5=120

120÷2=60

x=60

Need help with the answer please and thank

Answers

Answer:

Here is the step: Area of triangle = 1/2 (height x base) = 1/2 (9 x 18) = 81

Step-by-step explanation:

Then the Area of the rectangular = 12 x 18 = 216

So the  total Area of the figure is = 81 + 216 = 297

I hope it help.. give me brainiest

A baby elephant weighs 1,400 pounds, which is 7,437 pounds less than her mother. Which equation expresses the weight of the mother? * n – 1,400 = 7,437 n + 1,400 = 7,437 n x 7,437 = 1,400 n + 7,437 = 1,400

Answers

Answer:

n – 1,400 = 7,437

Step-by-step explanation:

A baby elephant weighs 1,400 pounds, which is 7,437 pounds less than her mother.

Let us represent :

Weight of the mother elephant = x

Weight of the baby elephant = y

A baby elephant weighs 1,400 pounds, which is 7,437 pounds less than her mother.

y = x - 7437 pounds

Hence,

1400 pounds = x - 7437 pounds

The weight of the mother elephant =

x = 1400 pounds + 7437 pounds

Therefore, the equation that expresses the weight of the mother where, the weight of the mother = n is:

n – 1,400 = 7,437

Create a system of linear equations with infinitely many solutions. In your final answer, include the system of equations
and the graphs of the lines!.

Answers

Answer:

Step-by-step explanation:

let the system be 2x+3y=4

8x+12y=16

Someone please help

Answers

Answer:

its A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Use the Pythagorean theorem

What is the distance between points (4,214) ( 4 , 2 1 4 ) and (4,712) ( 4 , 7 1 2 ) on a coordinate grid?

Answers

Answer:

5 1/4 units

Step-by-step explanation:

Mary bought 2 large popcorn buckets and 4 small drinks for $20. Linda bought 2 large popcorn buckets and 2 small drinks for $14. What was the cost for the large popcorn and the small drink?

Answers

Answer:

the cost for the large popcorn and the small drink is $4 and $3 respectively

Step-by-step explanation:

The computation of the cost for the large popcorn and the small drink is shown below:

Let us assume the cost of the large popcorn be x

ANd, the small drink cost be y

Now as per the question

2x + 4y = $20

2x + 2y = $14

Now subtract equation 2 from equation 1

2y = $6

y = $3

Now for x it is

2x + 12 = $20

2x = $8

x = $4

Hence, the cost for the large popcorn and the small drink is $4 and $3 respectively

A rectangle is 60 cm long and 20 cm wide. Find, to the nearest tenth of a degree, the acute angle formed at the intersection of the diagonals.

Answers

Answer:

36.9°

Step-by-step explanation:

As shown in the diagram attached,

θ is the acute angle formed at the intersection of the diagonals of the rectangle.

From the diagram,

tan(θ/2) = 10/30

tan(θ/2) = 1/3

θ/2 = tan⁻¹(1/3)

θ/2 = 18.43

Therefore,

θ = 18.43×2

θ = 36.87

θ = 36.9°

Hence the acute angle formed is 36.9°

Determine number of solutions​

Answers

No solution
Cause if you substitute the y
Ur final answer will be -2
When we have negative in the answer
It means no solution

how to find Rational numbers between 2 and 3​

Answers

Answer:

Hey mate....

Step-by-step explanation:

This is ur answer......

Hint: We will multiply and divide a same number greater than 2 to both the given numbers, say 3 as 3>2. When we will multiply and divide by 3, the numbers 2 and 3 will be equivalent to 63 and 93. Now, we can easily write two rational numbers between 2 and 3.

Hope it helps!

mark me brainliest plz......

Follow me! ;)

Step-by-step explanation:

You have to multiply both numbers by 3

2*3/3 = 6/3. and 3*3/3 = 9/3

Now, we can easily write two rational numbers between 2 and 3

7/3 , 8/3

Dante is mailing a box with a length of nine 1/2 inches a width of 8 inches and a height of 6 inches what is the volume of the box

Answers

Answer:

456 in³

Step-by-step explanation:

To find the volume of the box, use the volume formula, V = lwh

Plug in the length, width, and height:

V = lwh

V = (9.5)(8)(6)

V = 456

So, the volume of the box is 456 in³

Find the lateral surface area of the triangular prism.
A) 360 cm2
B) 380 cm2
C) 400 cm2
D) 420 cm2

Answers

Answer:

is it A?

Step-by-step explanation:

I think it's A because no one has answered!

what is the measurement of GAB

Answers

6 I think...................

Step-by-step explanation:

option B 52 is the correct answer of this question.

plz mark my answer as brainlist plzzzz.hope this will be helpful to you ☺️.

HELP ILL MARK AS BRAINLIEST what’s the volume?

Answers

Answer:

I think 324. Please tell me if wrong. I will try again.

Step-by-step explanation:

9*12*6=648

648/2=324

PLEASE HELP ME 20 POINTS PLEASE
Lyla got a haircut. If she had 2 cut off and
her hair is now 8 inches long, find the
length of her hair before she got it cut.

Answers

Answer:

10 inches long

Step-by-step explanation:

Answer:

10 inches is the anwser

Step-by-step explanation:

8 +2 =10

A student had already read some pages in a book when he created the model below. The model tracks p, the total amount of pages read if the student reads for h hours.
p = 30 + 60

Which statement best explains the meaning of the slope in this model?
A. The student tends to read 30 pages per hour.
B. The student will have 60 pages left to read after half an hour of reading.
C. The student will have 30 pages left to read after 1 hour of reading.
D. The student tends to read 60 pages per hour.​

Answers

Answer:

...

Step-by-step explanation:

Help!!!!!!!!!!! Me now!!!!!!!!!!

Answers

Answer:

29.6 - 0.2 = 29.4

29.4 divided by 24 = 1.225 km

Answer:

1.225

Step-by-step explanation:

29.6-0.2=29.4

24/29.4=1.225

Plz help with this don't just take my points

Answers

Answer:

Using values of x=3 and x=-21 the result of AB and AC comes same.

Hope it helped

PLS mark BRAINLIEST

Answer:

x = 3

Step-by-step explanation:

Using the geometric mean for altitude:

x + 9 = √18 *  8 = √144,

x + 9 = 12,

x = 3

Solution: x = 3

what is the vaule of x ?

Answers

5x+10+55=90
-65 on both sides
5x=25
divide both sides by 5
x=5

Answer:

5

Step-by-step explanation:

(5x + 10) + 55 = 90

5x + 10 + 55 = 90

5x + 65 = 90

5x + 65 - 65 = 90 - 65 (the 65 crosses off)

5x = 25

5x/5 = 25/5

x = 5

please help i will give brainliest, thanks

Answers

Answer:

2x-2  -2 is the y intercept and the 2x is the rate of change its easy lol

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Earn some points : 10x5

Answers

Answer:

50.....

................

Answer:

50

Step-by-step explanation:

somebody please help me ??

Answers

Answer: d pretty sure :)

Step-by-step explanation:

Help thank you please

Answers

The answer is Pentagonal prism

Answer:

Pentagonal Prism

1)
Find the range of the function for the domain (-2,0,4}.
Show your work.
f(x)=5x²+4

Answers

Answer:

(24,4,84)

Step-by-step explanation:

Just subtitute each value

Can you solve this problem?​

Answers

Answer:

<1 and <5

Step-by-step explanation:

<5 and <2 are vertically opposite. They are not complementary but they are equal

<3 is a right angle. <2 is an acute angle. They are not complementary.

<3 and <6 are both right angles. They are also vertically opposite angles and are are therefore equal. They are not complementary.

Answer: <1 and <5

<1 and 2 are complementary. <2 and <5 are vertically opposite and equal.

<1 and <5 are complementary.

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