Mathematics High School

If x) = 4x^2 + 1 and g(x) = x^2 - 5, find (f + g)(x).

Answers

Answer 1

Answer:

C. 5x² - 4

General Formulas and Concepts:

Algebra I

Composite FunctionsCombining Like Terms

Step-by-step explanation:

Step 1: Define

f(x) = 4x² + 1

g(x) = x² - 5

(f + g)(x) is f(x) + g(x)

Step 2: Find (f + g)(x)

Substitute: (f + g)(x) = 4x² + 1 + x² - 5Combine like terms: (f + g)(x) = 5x² - 4

Related Questions

i need help please help

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Answer:

it is the 5 one pic it that one

Answer:

A,B,C,E

Step-by-step explanation:

what is the reciprocal of -9/2

Answers

Answer:

-2/9

Step-by-step explanation:

Taking the reciprocal of anything just means to flip the fraction.

In this case, we are given -9/2.

Flipping the numerator and denominator gives us -2/9.

Your answer would be -2/9

I am just confused on how to do this question. A 37-inch TV is 37-inches diagonally across the screen. Which of these dimensions best describes a 37-inch TV? A. 15 x 34 B. 16.5 x 32 C. 17 x 28 D. 17 x 32

Answers

Given that,

A TV is 27 inch diagonally across the screen.

To find,

The dimensions that best describes a 37 inch TV.

Solution,

Let a and b are length and width of the TV. Let c be the diagonal. Using Pythagoras theorem,

[tex]c=\sqrt{a^2+b^2}[/tex]

If dimensions are 15 x 34,

[tex]c=\sqrt{15^{2}+34^{2}}\\\\=37.16\ inch[/tex]

If dimensions are 16.5 x 32,

[tex]c=\sqrt{16.5^{2}+32^{2}}\\\\=36.003\ inch[/tex]

If dimensions are 17 x 28,

[tex]c=\sqrt{17^{2}+28^{2}}\\\\=32.756\ inch[/tex]

If dimensions are 17 x 32,

[tex]c=\sqrt{17^{2}+32^{2}}\\\\=36.23\ inch[/tex]

It is clear that if dimensions are 15 x 34, the diagonal is 37 inches. Hence, the correct option is (a).

What Is the solution to the system of equations? Y=-3x-2
5x+2y=15

Answers

Answer:

x,y=-19,55

Step-by-step explanation:

plug in y.

5x+2(-3x-2)=15

5x-6x-4=15

-x=19

x=-19.

Plug in.

y=-3(-19)-2

y=55

correct is B.

Hope this helps :D

s = 6t² + 3t + 7, 0 ≤ t ≤ 2 Find the body's displacement and average velocity for the given time interval.

Answers

Answer:

I hope I help you

...........

Help please. Question is on the picture.

Answers

Answer:

Yes; P(blue glove) = 11/20 and P(not blue glove) = 9/20

The probability of selecting a blue glove is greater than the probability of not choosing a blue glove.

See the attached diagram below

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

Explanation:

There are 3 red gloves, 6 black gloves, and 11 blue gloves. So there are 3+6+11 = 20 gloves total in the drawer. The probability of picking blue is 11/20. The probability of not picking blue is 9/20 since we had 3red+6black = 9 gloves that are not blue. Or you could note that 11/20 + 9/20 = 20/20 = 1.

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

The probability of picking blue is greater than the probability of not picking blue. Oliver is likely to pick a second blue glove.

The way to see how 11/20 is larger than 9/20 is to compare the numerators. We see that 11 > 9, so that helps show 11/20 > 9/20.

You could also use your calculator to look at the decimal form of each fraction

11/20 = 0.55

9/20 = 0.45

This shows 11/20 is larger.

PLEASE HELP ASAP!! :D

Answers

Answer:

x+39°+93°=180°

x+132°=180°

x=180°-132°

x=148°

A letter is chosen at random from the letters of the word ASSASSINATION, then the probability that the letter chosen is a vowel is in the form of 6/2x+1, then find x.

Answers

Step-by-step explanation:

In the word "Assassination",

there are 13 letters in total and 6 vowels.

Probability of picking a vowel = 6/13.

Since 6/(2x + 1) = 6/13, 2x + 1 = 13, x = 6.

write the number three hundred thousand, seven hundred and ninety one in figures

Answers

Answer:

300, 791

Step-by-step explanation:

Estimate the solution to the system of equations.

Y = = -2.3 – 5
y = 2x – 2

Answers

Answer:

y = -2.65

Step-by-step explanation:

2y-2 = -2.3 + 5

2y-2 = -7.3

2y = -7.3+2

2y = -5.3

y = -5.3÷2

y = -2.65

Answer: i dont know sorry

Step-by-step explanation:

Write each percent as a fraction and as a decimal to the nearest hundredth.
1. 42%

2. 35%

3. 18%

4. 100%

Write each decimal or fraction as a percent
5. 0.03

6. 0.92

7. 2/5

8. 23/25

Answers

Each as a fraction 42/100 35/100 18/100 100/100

3k-2=10 whats the answer

Answers

Answer:

k = 4

Step-by-step explanation:

3k - 2 = 10

3k - 2 + 2 = 10 + 2 (adding 2 to both sides)

3k = 12

3k/3 = 12/3 (dividing both sides by 3)

k = 4

Happy to help :)

Simplify: cot(theta)sin(theta)
A) cos(theta)
B) sin(theta)
C) cot(theta)

Answers

Step-by-step explanation:

Since cotθ = (cosθ/sinθ)

(cotθ)(sinθ) = (cosθ/sinθ)(sinθ) = cosθ. (A)

Stacy is measuring milk to make pancake batter. The recipe calls for \dfrac{3}{4} 4 3 start fraction, 3, divided by, 4, end fraction of a jug of milk. She has \dfrac{1}{4} 4 1 start fraction, 1, divided by, 4, end fraction of a jug now. How much more milk does she need?

Answers

Answer:

1/2 cup of milk

Step-by-step explanation:

Given

Total cup of milk needed = 3/4 cup of milk

Amount she has = 1/4 cup of milk

The amount of milk she needed = Total - Amount she has

Amount she needed = 3/4 - 1/4

Amount she needed = (3-1)/4

Amount she needed = 2/4

Amount she needed = 1/2

Hence she needs 1/2 cup of milk more

Which expression is undefined?
A.
---5-5)
5
c.
O D. 12 = 0

Answers

Answer:

D. 12 ÷ 0

Step-by-step explanation:

Undefined Expression

An expression in mathematics that does not have meaning and so which is not assigned an interpretation is called undefined.

A rational expression is undefined when the denominator is 0. Division by 0 is not defined or does not have a meaning.

From the given expressions, the only one that has a division by 0 is:

D. 12 ÷ 0

If a factory can produce 250 desks in 5 days, how many desks will it produce in 15 days?

Answers

Answer:

750 would be ur answer

Step-by-step explanation:

happy new year!

Answer:750 desks

Step-by-step explanation: I would start by setting up an equation. 5d=250 (d means days). Then, to isolate the d, I would divide both sides of the equation by 5. I would get d=50. So there are 50 desks made daily. To find out the number of desks made in 15 days, I would just multiply both sides of the equation d=50 by 15 and I would get 15d=750. That means, there are 750 desks produced in 15 days. I hope this helps you out a bit!

I need help in this please! thanks

Answers

Answer:

θ = 85.93° (≈ 86°)

Step-by-step explanation:

arc length : 2πr = θ : 360°

7.5 : 2πr = θ : 360°

θ = (7.5 * 360°) / (2π*5) = 2700 / 31.42 = 85.93°

θ ≈ 86°

help fastttttttttttttttttttttttt
level 3
a) (x+8)(x-2)
b) (x+7)(x-7)

Answers

Answer:

a) x^2+6x-16

b)x^2-49

Step-by-step explanation:

a) x*x - 2x + 8x - 16

x^2 + 6x -16

b) x*x + 7x -7x - 49

x^2 - 49

Answer:

The is the graphic answer. Do it fast all the best

♦Will mark brainliest ♦
Hey please answer this
Which symbol replaces the box to make the statement true?

16÷4+12□4+24÷2

>

<

=

Answers

Answer:

Step-by-step explanation:

16 ÷ 4 + 12 ? 4 + 24 ÷ 2

Follow PEDMAS

4 + 12 ? 4 + 12 (Division first)

4 + 12 ? 4 + 12 (Addition next)

16 = 16 (They are equal)

Answer:

(=) make it a correct statement.

16÷4+12=4+24÷2

How many solutions does this linear system have?
y=-1/2x+4
one solution: (8, 0)
one solution: (0, 8)
no solution
infinite number of solutions

Answers

Answer:

The system of equations has no solution.

NO SOLUTION!

Step-by-step explanation:

Given the system of equations

[tex]\begin{bmatrix}y=-\frac{1}{2}x+4\\ x+2y=-8\end{bmatrix}[/tex]

Arrange equation variables for elimination

[tex]\begin{bmatrix}y+\frac{1}{2}x=4\\ 2y+x=-8\end{bmatrix}[/tex]

[tex]\mathrm{Multiply\:}y+\frac{1}{2}x=4\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:2y+x=8[/tex]

[tex]\begin{bmatrix}2y+x=8\\ 2y+x=-8\end{bmatrix}[/tex]

subtracting equation 2y+x=8 from 2y+x = -8

[tex]2y+x=-8[/tex]

[tex]-[/tex]

[tex]\underline{2y+x=8}[/tex]

[tex]0=-16[/tex]

so the equations become

[tex]\begin{bmatrix}2y+x=8\\ 0=-16\end{bmatrix}[/tex]

0 = -16 is false, therefore the system of equations has no solution.

NO SOLUTION!

The diagram is also attached below.

Answer:

No solution

Step-by-step explanation:

Got it right edge 2020

There are 37 children in the classroom, each student will get 48 pencils.How many pencils will the teacher have to give out?

Answers

Answer:

1,776

Step-by-step explanation:

1. There are 37 children in the classroom

2. Each student will get 48 pencils

3. The teacher wants to give 48 pencils evenly to 37 children

4. 48 x 37 = 1,776

A: The teacher will have to give out 1,776 pencils.

if you have 3 cups of glue u use 2/3 cup of glue how much slime can u make?

Answers

Ok so what we need to know is how much we can make so lets get started

I did 3/1 times 2/3 which would equal to 2

So in the numerator 3 times 2 equals 6 and in the denominator 1 times 3 equals to 3 which you’ll know have 6/3. so now you divide both of them by three since you can simplify it and it would left as 2.

Therefore you can make 2 slimes.

PLEASE ANSWER ASSP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: p=4.1

Step by step explanation:
7(p-9)=-34.3 Divide both sides of the equation by 7

P-9=-4.9 Move the constant to the right hand side and change its sign

P=-4.9+9 Calculate the sum

P=4.1

Nancy wrote the expression 3x-12 to represent the relationship in the table of values.use operations to write two equivalent expressions.

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Given the expression

3x-12

Writing the expression in an equivalent form

3x-12

Factor out common term 3

3x-12 = 3(x-4)

Thus, 3(x-4) is equivalent to 3x-12.

Writing the expression in an equivalent form

3x-12

Multiply the expression by 2/2

[tex]3x-12\:=\frac{2}{2}\:\times \:\left[3x-12\right][/tex]

Therefore, [tex]\frac{2}{2}\:\times \:\left[3x-12\right][/tex] is equivalent to 3x-12.

I keep getting stuck does anyone know the solution?
x=y+4 2x+2y=16

Answers

Answer:

Y = 2

X = 6

Step-by-step explanation:

Hope this helps. Pls give brainliest.

What is the y-value of the solution to this system of equations?
y=3x-13
y=2/5x-26/5

Answers

Answer:

for the first one y=-13 and the second y=-26/5

you already answered it you just had to put the y intercept in it

What is the value of 30-2(7+2)-1?

Answers

Answer:

Step-by-step explanation:

30-2(7+2)-1

30-2(9)-1

Then multiplication

30-18-1

Then left to right

12-1

Then again

So your answer is 11

Hope that helps!

A recipe for a loaf of bread calls for of a cup of flour. If Milo used 12 cups of flour, how many loaves of bread did he prepare?

Answers

Answer:

12 loaves of bread

Step-by-step explanation:

If making one loaf of bread takes one cup of flour, using 12 cups you would make 12 loaves.

Answer:

Step-by-step explanation:

1 loaf bread calls for 2/3 of a cup of flour

he used 12 cups

12 ÷ 2/3 = 12 × 3/2 = 6×3 = 18

PLEASE HELPPPPPP I WILL GIVE BRANLEST WITH EXPLANATION ONLY FOR PART C!!!! THANK YOU!!!!!! PLEASEE

Answers

so there are 5280 ft in a mile.. divide that by 3.. bc 3yards in a foot.. to get 1760.. then u multiply that by 12 to get 21120 SECONDS.. so to find minutes you divide that by 60. to get 352 minutes

Here is a 4-sided spinner.
The sides of the spinner are labelled 1, 2, 3 and 4. The spinner is biased.
The probability that the spinner will land on each of the numbers 2 and 3 is given in the table.
The probability that the spinner will land on 1 is equal to the probability that it will land on 4.
Number
I
3
4
Probability
0.46
0.28
Sarah is going to spin the spinner 500 times.
Work out an estimate for the number of times it will land on 4.

Answers

140

1-.28 =.72
.72 x 500 = 360
500-360= 140

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If x) = 4x^2 + 1 and g(x) = x^2 - 5, find (f + g)(x).​

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If x) = 4x^2 + 1 and g(x) = x^2 - 5, find (f + g)(x).