Given that f(x) = 4x + 5 and g(x) = x2 - 2x - 2, find (f + g)(x).

Answers

Answer 1

Answer:

x^2 + 2x + 3

Step-by-step explanation:

x^2 - 2x -2 + (4x +5)  ------------->                 x^2 +2x +3

In terms of x  so it stays the same


Related Questions

Select all the equations where y=10y=10y, equal, 10 is a solution.

Answers

Answer:

e. po sna makatulong pa heart nalang po salamat

Answer:

Its B and C

Step-by-step explanation:

they both just make sense. And i got the answer right..

Help me pls pls pls pls

Answers

Answer:

greater than or equal

Step-by-step explanation:

Find the missing side lengths. Leave your answers as radicals in simplest form
30°
X
10V3
y

Answers

Answer:

x=20

y=10

Step-by-step explanation:

so as you can see this is a 30-60-90 triangle this means that y is opposite the 30 degree angle so it is 10 root three divided by root three so it is ten and x is 2y=20

Plot two points that are 888 units from Point \blueD{B}Bstart color #11accd, B, end color #11accd and also share the same xxx-coordinate as Point \blueD{B}Bstart color #11accd, B, end color #11accd.

















Stuck

Answers

Answer:

[tex]B' = (-6,-8)[/tex]

Step-by-step explanation:

Given

[tex]Point\ B = (-6,0)[/tex]

Required

Plot a new point that is 8 units down and also has the same x coordinate

Represent the new point with B'

In [tex]Point\ B = (-6,0)[/tex]

[tex]x = -6[/tex] and [tex]y = 0[/tex]

This means that B' has an x coordinate of -6

Next, is to determine the y coordinate

If a point (x,y) is translated b units down, the new point is (x, y - b)

In this case:

The y coordinate of B is 0 and b = 8. So, the new y coordinate is: 0 - 8 = -8

So, we have:

[tex]B' = (-6,-8)[/tex]

See attachment

Amelia had 23 sea shells. Then, she collected 10 more sea shells. After that, she gave S sea shells to her little sister. Which of the following shows how many sea shells she has currently?

Answers

Answer:

Step-by-step explanation:

23+10-S = 33-S

an electric wire which is 0.12 m long is cut into 3 pieces of the same length.How long is each pieces?​

Answers

Answer:

0.04m

Step-by-step explanation:

0.12/3=0.04

Answer:

Step-by-step explanation:

Total length of a wire = 0.12 m

If the wire is divided into 3 equal pieces then

Length of each piece

= 0.12 / 3

= 0.04 m

hope it helps :)

A sel contains eleven elements.
a) How many subsets does it have?
b) How many proper subsets does it have?

Answers

Answers:

a) 2048b) 2047

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

Explanation:

If a set has n elements inside it, then it has 2^n different subsets.

Consider a set like {a,b,c}. It has n = 3 elements.

It has 2^n = 2^3 = 8 subsets

Those 8 subsets are...

{a,b,c} ..... any set is a subset of itself{a,b}{a,c}{b,c}{a}{b}{c}{ } .... the empty set

As you can see, each subset consists of items that are selected from the original set {a,b,c}. We can't have any repeat letters.

In that list, items 2 through 4 represent subsets with exactly two things inside it. Items 5 through 7 are known as singletons as they only have one item inside each set. The empty set can be written with the symbol [tex]\varnothing[/tex] or you could have a pair of braces with nothing inside them. The empty set is a subset of any set.

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

Note how I included {a,b,c} as a subset. Any set is a subset of itself.

A proper subset will ignore the original set and only look at smaller subsets. If we say B is a proper subset of A, then set B will have fewer items compared to set A. Without the "proper" in there, it's possible that A = B.

So all we've done really is kick out one set which drops 2^n to (2^n)-1 when counting the number of proper subsets. I'm using parenthesis to indicate the "-1" is not part of the exponent. If you wrote this on your paper, then you would likely write [tex]2^{n} - 1[/tex]

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

For this problem, n = 11

This means there are 2^n = 2^11 = 2048 subsets and (2^n)-1 = 2048-1 = 2047 proper subsets.

The number of subset of a set containing 11 elements is 2,048

And, number of proper subset of a set containing 11 element is 2,047.

Here,

A set containing 11 elements.

We have to find number of Subsets and number of Proper subsets.

What is Proper subset of a set?

Set A is considered to be a proper subset of Set B if Set B contains at least one element that is not present in Set A.

Now,

Let a set containing n elements.

then, Number of subsets = [tex]2^{n}[/tex]

And, Number of proper subsets = [tex]2^{n} -1[/tex]

Hence,

A set containing 11 elements.

Number of subsets = [tex]2^{11} = 2,048[/tex]

And, Number of proper subsets = [tex]2^{11} -1 = 2,048 - 1 = 2,047[/tex]

Hence, The number of subset of a set containing 11 elements is 2,048

And, number of proper subset of a set containing 11 element is 2,047.

Learn more about the proper subsets visit:

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Paisley has an action figure collection. She keeps 72 of the action figures on her wall,
which is 45% of her entire collection. What is the total number of action figures in
Paisley's collection?
Answer pls I will mark brainliest

Answers

Answer:

160

Step-by-step explanation:

Given the following diagram, find the missing measure.
?

m_2 = 50", m 3 = 100°,m _4 =
30
o 50
O 100
o 150

Answers

Answer:

m∡4 = 150°

Step-by-step explanation:

m∡1 = 30° because there are 180° in a Δ

m∡4 = 150° because angles 1 and 4 form a linear pair and must add up to 180°

Answer:

answer 180⁰

Step by Step explanation:

All angles in a triangle add up to 180.

1) add up the angles that are already given to you.

50⁰ +100⁰=150⁰.

2)Then take that away from 180⁰. which leaves you with 30⁰

i need help with this down below

Answers

Answer:

hi the answer is elven twelths or 11/12

Step-by-step explanation:

first you multiply 1/8 x 2/3 which is 1/12 +5/6= 11/ 12. because you cant simplify it anymore

hope this help

What is the value of y when x = 7?

y=4x+32

Enter your answer in the box.

Answers

Answer:

y=60

Step-by-step explanation:

plug in the 7

y=4(7)+32

4x7=28

y=28+32

=60

pls give brainliest

PLEASE HELP ME WITH THIS I DONT UNDERSTAND I WILL MARK YOU AS BRAINLIEST IF YOU ANSWER CORRECTLYY PLS AND TY​

Answers

Answer:  To establish the strength of a linear association, first compute the correlation coefficient between the variables involved. The, examine the absolute value of the coefficient. A strong relationship has an absolute value of close to 1 (or approaching 1) while a weak relationship has an absolute value close to 0 (or approaching zero).

The data points will be clustered more tightly around the trend line if there is a weak linear association and less tightly if there is a strong one.

hope it helps

take care

Step-by-step explanation:

Here is a circle and a scaled copy of the circle with a scale factor of `2`.



How does the circumference of the scaled copy compare to the circumference of the original circle?

Answers

Scale factor of 2 means green circle is twice the size of blue circle.

If C= πd and 2(d1) = d2, Then the circumference of the image (scaled copy) should be twice the circumference of the object (original circle).

Find the value of x in the following parallelogram: 3 5x - 6 3x-2 x = [?] Enter​

Answers

Answer:

66

Step-by-step explanation:

Answer: x=2

Step-by-step explanation:

Juan and his sister collected 108 shells while at the beach. Of the shells they collected, 79 were white. Write and solve an equation that can be used to find how many white shells Juan and his sister collected.

Answers

Answer:

108-79=29

Step-by-step explanation:

Answer:

it literally says that 79 of dem were white lol

Step-by-step explanation:

3. An exponential expression is point
considered in its simplest form
when the following are met
EXCEPT one, which is it? *
O A. No parentheses appear.
B. No powers are raised to powers.
O c No positive exponents appear
.
O D. Each base occurs only once.​

Answers

Answer: C Powers doesn't have to be negative for it to be simplified example 3^5 is simplified we don't need it to be (1/3)^(-5), its simply unnecessary.

The answer is c no positive exponits

the three angles of a triangle are in the ratio 1:3:5 find the angles​

Answers

Answer:

The ratio 1:3:5 by doubling each number is the same as 2:6:10 and the big one 10 is 10/(2+6+10) = 10/18 of the total, so multiplying top and bottom by 10 gives 100/180, so the biggest angle is 100° since the sum of all angles must be 180°.

m∠FDC=124°; m∠EAB=2x, m∠ACG=4x. Find: x, m∠ACD

Answers

Answer:

x=28 degrees

Step-by-step explanation:

4x = 28*4 = 112

180 degrees - 112 = 68

ACD = 68

What is 46% of 22? Use a fraction and express your answer in simplest form.

10
8
11
10

Answers

.46 * 22 = 10 3/25
Hope this helps!!!

Answer:

10.12 as a fraction equals 1012/100

Step-by-step explanation:

To write 10.12 as a fraction you have to write 10.12 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

10.12 = 10.12/1 = 101.2/10 = 1012/100

Which fraction is greater?

1/8
or
1/2

Answers

Answer:

the answer is 1/2...............

The fraction 1/2 which is equivalent to 4/8 is greater than 1/2.

Given fraction to compare 1/8 or 1/2.

To compare the fraction, the denominator of both fraction should be same.

So, to make denominator same take the LCM of 8 and 2 as

8 = 2 x 2 x 2

2 = 2 x 1

Then, the LCM( 8, 2) = 8.

Now, the fraction can be written as

1/8 or 1/2 x 4/4 =  4/8.

Therefore, the fraction 1/2 is greater than 1/8.

Learn more about Comparison here:

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In a children’s book, the mean word length is 3.6 letters with a standard deviation of 2.1 letters. In a novel aimed at teenagers, the mean word length is 4.4 letters with a standard deviation of 2.4 letters. Both distributions of word length are unimodal and skewed to the right. Independent random samples of 40 words are selected from each book. Let xC represent the sample mean word length in the children’s book and let xT represent the sample mean word length in the teen novel.

Find the mean of the sampling distribution of xC-xT
Calculate and interpret the standard deviation of the sampling distribution. Verify that the 10% condition is met.
Justify that the shape of the sampling distribution is approximately Normal.
What is the probability that the sample mean word length is greater in the sample from the children’s book than in the sample from the teen novel?

Answers

Answer:

Find the mean of the sampling distribution of xC-xT

Calculate and interpret the standard deviation of the sampling distribution. Verify that the 10% condition is met.

Justify that the shape of the sampling distribution

Step-by-step explanation:

2.4 letters. Both distributions of word length are unimodal and skewed to the right. Independent random samples of 40 words

what is the segment AB please help 20 points!!!

Answers

Answer:

10

Step-by-step explanation:

the formula you use to find the distance between two points is

square root of (x1-x2)^2+(y1-y2)^2

Help help this is 10 points

Answers

Answer:

The anwser you are looking for is number 2

Step-by-step explanation:


Help need to do this in 10 min

List the integers that satisfy both these inequalities.
2x + 5 < 0
x>-8

Answers

Answer:

no satisfied

Step-by-step explanation:

because of the rules

Tim have 165 pictures from his winter trip in Alaska. He put 7 pictures on each page of a photo album. How many pages of the album did Tim fill? How many pages did Tim use?

Answers

Tim filled roughly 23.5 pages (or 23 and a half).

We take 165/7 (to calculate how many pages we need) and our end result is 23.5 (roughly)

Answer:

23 pages filled but he used 24 because there was 4 pictures left over

Step-by-step explanation:

Camille has already baked 1 cake, and she can bake 2 cakes with each additional stick of butter she buys. Write an equation that shows the relationship between the number of additional sticks of butter and the number of cakes y

Answers

Answer:

1+2x=y

Step-by-step explanation:

X: Number of sticks

Y= number of cakes

There is already one cake, so you must add one to the equation. You multiply x by two since 1 stick of butter (x) makes two cakes.

Quadrilateral EFGH is inscribed in a circle as shown.
G
E
н
mZF = (4x + 10°, mZG = (2x - 5)º, and m_H = (3x - 5)°. What is the value of x?

Answers

F + H = 180

(4x+ 10) + (3x - 5) = 180
7x + 5 = 180
7x = 175
X = 25

The correct response is B.

The value of the variable 'x' will be 25. Then the correct option is B.

What is a cyclic quadrilateral?

If the quadrilateral is inscribed in a circle then the quadrilateral is known as a cyclic quadrilateral. And the sum of opposite angles of the quadrilateral is 180 degrees.

Quadrilateral EFGH is inscribed in a circle as shown. ∠F = (4x + 10)°, ∠G = (2x - 5)º, and ∠H = (3x - 5)°.

Angles ∠F and ∠H will be supplementary angles. Then the equation is given as,

∠F + ∠H = 180

4x + 10 + 3x - 5 = 180

7x = 175

x = 25

The value of the variable 'x' will be 25. Then the correct option is B.

More about the cyclic quadrilateral link is given below.

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Dillon studied 3 6/7 hours for his English test. He studied 5 3/14 hours for his math test. How much longer did he study for his math test? (Simplify the answer and write it as a mixed number.)

Answers

Answer:

[tex]1 \frac{5}{14}[/tex], [tex]\frac{19}{14}[/tex]

Step-by-step explanation:

How much longer did he study for his math test?

[tex]E=3\frac{6}{7}[/tex]

[tex]M=5\frac{3}{14}[/tex]

[tex]x=difference[/tex]

An equation for this would resemble this:

[tex]M- E=x[/tex]

Now before we get into any equation solving let's get the denominators equal to each other. we can do this by multiplying the numerator and denominator by 2.     [tex]\frac{6(2)}{7(2)}=\frac{12}{14}[/tex]

Now we can solve the equation:

[tex]5\frac{3}{14} - 3\frac{12}{14} =\frac{19}{14}[/tex]

[tex]1 \frac{5}{14}[/tex], as a mixed number

plz mark me brainliest. :0

need help with geometry ​

Answers

Answer:

A 38

Step-by-step explanation:

Since all the angles make up a circle which is 360 degrees, we can subtract all of the angle measurements we know from 360, in this case

360-298-24=38

Nora is going to invest in an account paying an interest rate of 4.3% compounded continuously. How much would Nora need to invest, to the nearest dollar, for the value of the account to reach $7,600 in 20 years?

Answers

Answer:

P≈3216

3216

Step-by-step explanation:

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