Mathematics High School

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

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

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

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°

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

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

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

Answers

Answer:

300, 791

Step-by-step explanation:

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!

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 :)

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:

18

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 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.

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.

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

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

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)

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

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

...........

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

Answers

Answer:

11

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!

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

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

1)

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.

2)

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.

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

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.

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.

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

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

♦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

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).

i need help please help

Answers

Answer:

it is the 5 one pic it that one

Answer:

A,B,C,E

Step-by-step explanation:

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