Given the following functions, find and simplify (f+g)(-2).
Do not include "(f+g)(-2)=" in your answer.
f(x) = -3x² - 2x
g(x) = -2x +3

Answers

Answer 1

Answer:

43

Step-by-step explanation:

because if you add it up thats how you get that


Related Questions

Simplify 1-4 can you show how you got the answer on a sheet of paper.

Answers

Answer:

to solve fractions such as

1 1/3

first multiple the denominator with the whole no.

and then add with the numerator

here 3 * 1 + 1 /3

= 4/3

1 2/3

= 3*1 + 2 /3

5/3

If f(x) = sin(x) and g(x) = sin(2x), then the derivative of f(x) + g(x) is

Answers

The derivative of f(x) + g(x) is cosx+2cos2x

Derivative : In mathematical calculus, the derivative is the rate of change of a function at a instant point.

Derivative of a function is denoted by dy/dx, where derivative of y is happening with respect to x.

We have to add f(x) and g(x), then differentiate the whole addition with respect to x.

Given that, f(x) = sin(x) & g(x) = sin(2x)

So, f(x) + g(x) = sin(x) + sin(2x)

Now, differentiating with respect to x we get,

(f(x)+g(x))' = d/dx(sinx) + d/dx(sin 2x)

               = cosx+2cos2x

Derivative of  f(x) + g(x) = cosx+2cos2x

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There are 250 students in a school and there are 120 more boys than girls. What percentage
of the students are boys?

Answers

X + X+ 120 = 250
2X + 120= 250
2X = 130
X = 65
X + 120 = 185 boys
Boys/total= percent
185/250= 74%

Answer is 74%

Have a nice day!

Write an expression in factored form for the polynomial of least possible degree graphed below.

Answers

The expression in factored form for the polynomial of least possible degree graphed will be y(x) = (x + 3)(x + 2 )(x - 1 )(x - 3 )

How to factor the polynomial?

From the graph, the zeros of the polynomial of given graph are:

x = -3

x = -2

x = 1

x = 3

Equate the above equations to zero

x + 3 = 0

x + 2 = 0

x - 1 = 0

x - 3 = 0

Multiply the equations

(x + 3)(x + 2 )(x - 1 )(x - 3 ) = 0

Express as a function gives;

y = (x + 3)(x + 2 )(x - 1 )(x - 3 )

Hence, the factored form of the polynomial will be y = (x + 3)(x + 2 )(x - 1 )(x - 3 )

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A swimming pool is to be constructed in a 1,408-ft2 backyard. There is to be a fence that will surround a 12-by-24-foot pool. The pool builder wants to build a concrete paver deck of a uniform width, x, surrounding the pool and filling the entire area of the backyard. What is the width of the pool deck?

Answers

The width of the pool is 10 feet.

What is area of rectangle?

The area of rectangle is product of length and breadth.

Let the width be x.

length = 24 + 2x. and breadth =  12 + 2x

We know, area= 1408 ft².

(12 + 2x)(24 + 2x) = 1408

12*24 + 12*2x + 24*2x + (2x)² = 1408

288 + 72x + 4x² = 1408

4x² + 72x + 288 - 1408 = 0

4x² + 72x - 1120 = 0

x² + 18x - 280 = 0

x² - 10x + 28x - 280 = 0

x(x - 10) + 28(x - 10) = 0

(x - 10)(x + 28) = 0

So, x=10, -28.

Hence, the width be 10 feet.

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Write each of the following numerals in base 10. For base twelve, T and E represent the face values ten and eleven, respectively.
a. 421 five
b. 11101 two
c. 13Ttwelve

Answers

(a)

421₅ = 4×5² + 2×5¹ + 1×5⁰

… = 100 + 10 + 1

… = 111

(b)

11101₂ = 1×2⁴ + 1×2³ + 1×2² + 0×2¹ + 1×2⁰

… = 16 + 8 + 4 + 0 + 1

… = 29

(c)

13T₁₂ = 1×12² + 3×12¹ + 10×12⁰

… = 144 + 36 + 10

… = 190

F
10
A. 18
B. 28
C. 38
D. 48
G
8
H
If ZG ZH, find the perimeter of AFGH.

Answers

The answer is 28

If angle g and angle h are the same, this means it’s an isosceles triangle. Since the side opposite of the angle is what the angle correlates to, line segment FH= line segment GF. Now we have FH=10.
Finally we add all sides 10+10+8 and arrive at 28.
Hope this helps!

Answer:

The answer is 28

Step-by-step explanation:

ms..s.s..snskkzkzklzlzls

I need help on this I’m stuck

Answers

The correct answer is the last choice .

The parent quadratic function is f(x) = x² it's just like the image above .

if you look at the graph horizontal translation has happened two units to right , it means we have -2 inside a bracket next to x , then vertical translation has happened 4 units to up it means we have +4 outside the bracket and after x

there's also a reflection on the graph which means there's a negative before the bracket .

HOPE IT HELPS

PLEASE GIVE BRAINLIEST


Find g(32) for g(x) = x+4−−−−√.
A. 3
B. 5
C. 6
D. 10

Answers

Answer:

6

Step-by-step explanation:

I presume you meant

[tex]g(x) = \sqrt{x + 32} \\ g(32) = \sqrt{32 + 4} \\ g(32) = \sqrt{36} \\ g(32) = 6[/tex]

need help with this please

Answers

Answer:

no lo sé no lo sé

Step-by-step explanation:

solo se que nada se

If f(x) = 6x² - 4 and g(x) = 2x + 2, find (f- g)(x)

Answers

Step-by-step explanation:

[tex]f(x) = 6 {x}^{2} - 4[/tex]

[tex]g(x) = 2x + 2[/tex]

[tex] \: [/tex]

[tex] = (f - g)(x)[/tex]

[tex] = f(x) - g(x)[/tex]

[tex] = 6 {x}^{2} - 4 - (2x + 2)[/tex]

[tex] = 6 {x}^{2} - 4 - 2x - 2[/tex]

[tex] = 6 {x}^{2} - 2x - 4 - 2[/tex]

[tex] = 6 {x}^{2} - 2x - 6[/tex]

[tex](f - g)(x) = 6 {x}^{2} - 2x - 6[/tex]

The table below shows the participation in the town soccer league during its first five seasons.
Town Recreational Soccer League Participation
Number of participants
88
95
100
108
115
Year
1
2
23
3
4
fo
5
Which is the equation of the trend line that can be generated by using the data from years 1 and 5?
Oy-6.75x-688.25
Oy-6.75x-1.75
O y-6.75x+81.25
Oy-6.75x+148.75

Answers

Using a calculator, the equation of the trend line that can be generated by using the data from years 1 and 5 is:

y = 6.75x + 81.25.

How to find the equation of linear regression using a calculator?

To find the equation, we need to insert the points (x,y) in the calculator.

In this problem, the points, in the format (x,y), are given as follows:

(1,88), (2,95), (3,100), (4,108), (5,115).

Hence, using a calculator, the regression line is:

y = 6.75x + 81.25.

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A woman passed gas silently. I said "it stinks", and she said "I apologize. Excuse me". Why did she say both of those things?

Answers

That's because there's this thing called polite people

Answer:

Because she is nice unlike me

Step-by-step explanation:

give me brainiest pls

see? I am not nice :) But seriously can I get brainliest?

f(x) = 3x² + 5; find f(x + 3) - [f(x) + 3]

Answers

Answer: 18x+24

Step-by-step explanation:

[tex]f(x+3)=3(x+3)^2 + 5\\\\f(x+3)=3(x^2 + 6x+9)+5\\\\f(x+3)=3x^2+18x+27+5\\\\f(x+3)=3x^2 + 18x+32[/tex]

[tex]\therefore f(x+3)-[f(x)+3]=(3x^2 +18x+32)-[3x^2 +5+3]\\ \\=3x^2 +18x+32-3x^2 - 8\\\\=\boxed{18x+24}[/tex]

If function f(x) = 3x² + 5 then the value of f(x + 3) - [f(x) + 3] is 18x + 24.

Given the function f(x) = 3x² + 5.

We have to find the value of f(x + 3) - [f(x) + 3]

First we have to find the value of f(x + 3) - [f(x) + 3]

f(x + 3) = 3  (x + 3) ² + 5f(x + 3)

           = 3(x ² + 6x + 9) + 5f(x + 3)

           = 3x ² + 18x + 27 + 5f(x + 3)

           = 3x ² + 18x + 32

Now substitute these values and find the value of f(x + 3) - [f(x) + 3].

f(x + 3) - [f(x) + 3] = (3x² + 18x + 32) - [3x ^ 2 + 5 + 3]

                           =3x ²  + 18x + 32 - 3x ² - 8

                           =18x + 24

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a single card is drawn from a standard 52-card deck calculate the probability and odds for the following event a jack or club is drawn

Answers

                                          17/52

Step-by-step explanation: There are 13 clubs in a deck of fifty-two cards and there are four jacks in a fifty-two deck.  So adding that up it's 17 out of 52 = 17/52.   And you can not reduce it.

the stream frontage is 800 feet in length and the property line is 3900 feet in length

The lot has an area of about ___ acres

Answers

Using the Pythagorean Theorem, it is found that the lot has an area of about 35 acres.

What is the Pythagorean Theorem?

The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:

[tex]h^2 = l_1^2 + l_2^2[/tex]

Researching the problem on the internet, the lot has one leg of 800 feet and the hypotenuse is of 3900 feet, hence the other leg is found as follows:

[tex]800^2 + l^2 = 3900^2[/tex]

[tex]l = \sqrt{3900^2 - 800^2}[/tex]

l = 3817 feet.

What is the area of a right triangle?

The area of a right triangle is given by half the multiplication of it's legs. Hence, the area of the lot, in square feet, is given by:

A = 0.5 x 800 x 3817 = 1,526,800 square feet.

Each square feet is equivalent to 0.000029568 acres, hence the area in acres is given by:

Aa = 0.000029568 x 1,526,800 = 35 acres.

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What is the length ?

Answers

Answer:

AC = 2x - 13 Cm

BC = 3x + 4 Cm

AB = 36 Cm

AB = AC + BC

BC = AB - AC

= 36 - (2x - 13)

= 36 - 2x + 13

= 49 - 2x

but, BC = 3x + 4

so equating both the equation we get

3x + 4 = 49 - 2x

3x + 2x = 49 + 4

5x = 53

x = 53/5

x = 10.6

BC = 49- 10.6*2

= 49- 21.2

= 27.8 CM

Answer:

BC = 31 cm

Step-by-step explanation:

from the diagram

AC + CB = AB ( substitute values )

2x - 13 + 3x + 4 = 36

5x - 9 = 36 ( add 9 to both sides )

5x = 45 ( divide both sides by 5 )

x = 9

then

BC = 3x + 4 = 3(9) + 4 = 27 + 4 = 31 cm

1
0/1 point
A student wants to write an expression for, "all of the elements which are not in set A but are in set B".

Answers

The way to write this expression in mathematics is A'∩B

How to solve for the expression

In order to get the right way to write this expression we have to break it down in two parts.

First we are told that some of the elements are not in A.

This is represented as A'.

Then we are told that they are in the set B. Hence we have it written as B.

Then the expression  not in set A but are in set B would be written as

A'∩B.

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Which number line could help you find the distance between (7,4) and (3,4)?

Answers

Answer:

2nd one

as the y is both 4, the points are on the same plane. As such, we care about the distance of x which is between 3 and 7

The sum of the measures of two exterior angles of a triangle is 264. What is the
measure of the third exterior angle?

Answers

96 degrees think!!!!!

Answer: 96 degrees

Step-by-step explanation: Assuming that angle ℒ is the third measure, then angle ℒ is 96 degrees as all exterior angle measures of a triangle are 360 degrees.

360-264 = 96 degrees = 

Please give brainliest if helpful.

A is the set of integers greater than or equal to -9 and less than or equal -2
B = {-30, -27, 20, 24, 28}
a) Find the cardinalities of A and B.
n(A)=
n(B) =

Answers

Answer:

The cardinality Of Set A= 8, Set B = 5

SET :an organized collection of objects

Cardinality : It is defined as how many elements make in a set or other grouping.

Step1: Integers greater than or equal to -9 and less than or equal to -2 are

      =   -9,-8,-7,-6,-5,-4,-3,-2

Step 2: Form a set using given elements, we have

Set A = {-9,-8,-7,-6,-5,-4,-3,-2}

Step 3: Count the no. of elements

we have, no. of elements is 8.

For given Set B = {-30, -27, 20, 24, 28}

we have, no. of elements is 5.

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$30 is taken off the price of a dress. If the new price is now 60% off the original price, what was the original price of the dress.

Answers

the original price of the dress is $75

The size of a mumps virus is
approximately 0.000 000 19 metres.
What is this value in standard form? Give
your answer in metres (m).

Answers

Answer:

[tex]1.9 \times {10}^{7} meters[/tex]

is the right answer

determine if x-3 is a factor of f(x)=x^3-x^2-5x-3

Answers

Step-by-step explanation:

please mark me as brainlest

Answer:

(x - 3) is a factor of the given function

Step-by-step explanation:

Given function:

[tex]\implies f\:\!\:(x)=x^3-x^2-5x-3[/tex]

If (x - 3) is a factor of the given function then [tex]f\:\!\:(3) = 0[/tex]

Substitute x = 3 into the function and solve:

[tex]\implies f\:\!\:(3)=(3)^3-(3)^2-5(3)-3[/tex]

[tex]\implies f\:\!\:(3)=27-9-15-3[/tex]

[tex]\implies f\:\!\:(3)=0[/tex]

Therefore, as  [tex]f\:\!\:(3) = 0[/tex] then (x - 3) is a factor of the given function.

Solve the equation -8 = -3 - 6 cube root x^2

a. 0.76, -0.76
b. 4.98
c. 3.87
d. 1.53, -1.53

Answers

Answer:

0.76

Step-by-step explanation:

-8+3=-6x^(2/3)

-5=-6 x^(2/3)

-5/-6=x^(2/3)

(2/3)√{5/6}=x

0.76=x

x=0.76

Which equation has roots of 3 ± √2?

Answers

Answer:

D.

Step-by-step explanation:

The mean cost of a five pound bag of shrimp is 40 dollars with a standard deviation of 7 dollars. If a sample of 51 bags of shrimp is randomly selected, what is the probability that the sample mean would be less than 40.6 dollars?

Answers

The probability that the sample mean would be less than 40.6 dollars will be 0.534.

What is a normal distribution?

The Gaussian distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

The z-score is given as

z = (x – μ) / σ

The mean cost of a five pound bag of shrimp is 40 dollars, with a standard deviation of 7 dollars.

If a sample of 51 bags of shrimp is randomly selected.

Then the probability that the sample mean would be less than 40.6 dollars will be

z = (40.6 – 40) / 7

z = 0.0857

Then the p-value will be

P(x < 40.6) = P(z < 0.0857)

P(x < 40.6) = 0.534

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What is the solution set of -xl = -10?

Answers

No solution since absolute value can't be equal to negative numbers

PLEASE GIVE BRAINLIEST

No solution since it can’t be equal to negative numbers

if someone could please help that would be great!

Please graph it!!!

Answers

The graph is attached with the answer.

What are Piecewise Function ?

When function has different behaviour at different intervals , then it is called a piecewise function.

It is given that

f(x) = - 3x -5 at x ≤ -1

f(x) = -2x +3 at -1 <x<4

f(x) = 2 at x ≥ 4

All the piecewise Function are a straight line.

The table for functions is

f(x) = 3x -5

-1  -8

-2  -11

-3   -14

f(x) = -2x +3

0  3

1    1

2    -1

3   -3

f(x) = 2

4     2

5      2

6     2

7     2

The graph is attached with the answer.

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Which of the following terms best describes a vertical line that the graph of a function approaches but never intersects

Answers

Answer: an asymptote is, essentially, a line that a graph approaches , but     does not intersect.      

Step-by-step explanation:

for example , in the following graph of y =1x y=1x the line approaches the x- axis (y=0) but never touches it

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