f(x) = 3x - 8 and g(x) = -x - 4. Find (f + g)(x) and (f + g)(5).

Answers

Answer 1

Answer:

(f+g)(x) = 3x - 8 -x -4

(f+g)(x) = 2x-12

(f+g)(5) - substitute 5 into x

(f+g)(5) = 2(5)-12

(f+g)(5) = 10-12

(f+g)(5) = -2

Step-by-step explanation:


Related Questions

Isaaq put 2b + 3 dollars in the bank in the first week. The following week he doubled the first week’s savings and put that amount in the bank. The next week he doubled what was in the bank and put that amount in the bank. If he now has $477 in the bank, how much did he put in the bank the first week? Please add an numerical explanation

Answers

Answer:

The answer is $159

Step-by-step explanation:

2b + 3 - Day 1

4b + 6 - Day 2

6b + 9 - Day 3

477=6b+9

-9          -9

468=6b

78=b

(2x78) + 3 = 159

The answer is $159

Carlos buys a box of frozen flavored ice sticks. 2/5 of the ice sticks are blue raspberry. Of the remaining ice sticks, 1/3 are grape, and the rest are cherry. If there are 48 blue raspberry and cherry flavored ice sticks altogether, how many ice sticks total are in the box?

Answers

Given:

[tex]\dfrac{2}{5}[/tex] of the ice sticks are blue raspberry.

Of the remaining ice sticks, [tex]\dfrac{1}{3}[/tex] are grape, and the rest are cherry.

There are 48 blue raspberry and cherry flavored ice sticks altogether.

To find:

The total number of ice sticks.

Solution:

Let x be the total number of ice sticks.

[tex]\dfrac{2}{5}[/tex] of the ice sticks are blue raspberry.

Blue raspberry [tex]=\dfrac{2}{5}x[/tex]

Remaining raspberry [tex]=x-\dfrac{2}{5}x[/tex]

                                   [tex]=\dfrac{3}{5}x[/tex]

Of the remaining ice sticks, [tex]\dfrac{1}{3}[/tex] are grape, and the rest are cherry.

Grape [tex]=\dfrac{1}{3}\times \dfrac{3}{5}x[/tex]

          [tex]=\dfrac{1}{5}x[/tex]

Cherry [tex]=\dfrac{3}{5}x-\dfrac{1}{5}x[/tex]

           [tex]=\dfrac{2}{5}x[/tex]

There are 48 blue raspberry and cherry flavored ice sticks altogether.

[tex]\dfrac{2}{5}x+\dfrac{2}{5}x=48[/tex]

[tex]\dfrac{4}{5}x=48[/tex]

[tex]x=48\times \dfrac{5}{4}[/tex]

[tex]x=60[/tex]

Therefore, the total number of ice sticks is 60.

What would be the first step you would take in simplifying 6 - 3 + 5 x 2 ?

Answers

Answer: multiply 5x2 first

Step-by-step explanation:

Answer:

5 × 2

Step-by-step explanation:

PEMDAS:

P: Parethises

E: Exponents

M: Multiplication

D: Division

A: Addition

S: Subtraction

Since multiplying is before adding and subtracting you multiply first.

Answer:

5 × 2

Please help me i will mark you brainliest

Answers

y = -11x2 – -52 or y = -5.5x – 52

A parking garage charges an initial fee to enter, as well as an hourly rate to park. The equation, T = 6 + 2.50h, relates hours parked, h, and
the total charges in dollars, T.
What is the initial fee to enter the garage?
O A $2.50
OB. $3.50
OC. $6.00
OD. $8.50
S RESET
Anala Ramon, ID#******63
Growth: Algebra 1 CCSS 2010
Question # 36

Answers

Answer:

The answer is $6.00.

Step-by-step explanation:

They said that there was an initial fee along with an hourly fee. They also said that the hourly fee depended on the number of hours put in. Which would be h. So the initial fee stays the same and is just added to the hourly fee. As you can see the fee added on to the hourly fee is $6.oo.

The initial fee to enter the garage is option (C) $6.00.

What is the linear equation?

The linear equation is the algebraic form of equation whose variables has the exponent of one. It is the combination of two variables and a constant value present in them.

For the given situation,

The equations is, T = 6 + 2.50 h

where, h is the parking hours and

T is the total charges in dollars.

The initial fee to enter the garage means there will be no fee for parking,

⇒ [tex]h=0[/tex]

Then the equation becomes,

⇒ [tex]T=6[/tex]

Hence we can conclude that the initial fee to enter the garage is option (C) $6.00.

Learn more about linear equation here

https://brainly.com/question/19549073

#SPJ2

sum n=3 ^ infty (2n+5)
find the series shown​

Answers

Answer: Choice C) 11 + 13 + 15 + 17 + ...

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

Explanation:

We're adding terms in the form (2n+5)

The first term is when n = 3, so

2n+5 = 2*3+5 = 6+5 = 11

The next term is when n = 4, so

2n+5 = 2*4+5 = 8+5 = 13

The next term is when n = 5, so

2n+5 = 2*5+5 = 10+5 = 15

And so on

This means,

[tex]\displaystyle \sum_{n=3}^{\infty} (2n+5) = 11+13+15+17+\ldots[/tex]

which matches with choice C. The three dots indicates the pattern goes on forever.

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

Choice B does not have these dots, so that's why choice B is not the answer. If we replaced the infinity symbol with 7, then choice B would be the answer.

I.e,

[tex]\displaystyle \sum_{n=3}^{7} (2n+5) = 11+13+15+17+19[/tex]

Five times the sum of a number n and seven
Hint- you need parenthesis

Answers

5(n + 7) is the equation

The equation of the problem is [tex]5(n+7)[/tex]

The sentence is asking 5 times the sum of n+7, so you are multiplying (n+7) by 5.

$3,000 is invested in an account paying 4% interest and twice that amount is invested at 6%.

Which of the following expressions represents the amount of interest earned on the money invested at 6%?

a. 2(3,000)
b. 0.06(6,000)
c. 0.06(3,000)

Answers

Answer:

B

Step-by-step explanation:

{(5²)} ³×5⁴}÷5⁷ simplify and express the following as exponent​

Answers

Answer:

The answer is 5³.

Step-by-step explanation:

You have to apply Indices Law :

[tex] {a}^{m} \times {a}^{n} ⇒ {a}^{m + n} [/tex]

[tex] {a}^{m} \div {a}^{n}⇒ {a}^{m - n} [/tex]

[tex] { ({a}^{m} )}^{n} = {a}^{mn} [/tex]

So for this question :

[tex]( {( {5}^{2}) }^{3} \times {5}^{4} ) \div {5}^{7} [/tex]

[tex] = ( {5}^{6} \times {5}^{4} ) \div {5}^{7} [/tex]

[tex] = {5}^{10} \div {5}^{7} [/tex]

[tex] = {5}^{3} [/tex]

what are the other ways two straight lines could intersect in the coordinate plane? How many solutions would each of these options have?​

Answers

Answer:

what are the other ways two straight lines could intersect in the coordinate plane How many solutions would each of these options haver

Answer:

Step-by-step explanation:

On the 2nd equation, turn the slope the -3x. This creates two parralel lines.

Two linear equations will always be parallel and never intersect if their y-intersect is different and their slope is the same.


Riley buys a swim pass for the pool in January. The first month costs $30. Each month after that, the cost is $20 per month.

Write the equation for finding the total cost of
a one-year swim pass.

Answers

Answer:

you pay 240 dollars a year

Step-by-step explanation:

y=20x

x is 12

20*12=

240

Answer: $250

Step-by-step explanation:

I need help please, can you help me?

Answers

Answer:

x= 16 degrees

Step-by-step explanation:

the angles can be a little hard to remember but just know that the angles that are outside of the transversal are exterior angles and if they are on the opposite sides of the line that passes through the parallel lines then they're alternate exterior angles and those angles that are inside are interior angles and if they are on the opposite sides of the line passing through the parallel then they are alternate interior angles .

Which of the following is true about the function above?​ - Apex

Answers

Answer:

The answer is B, The domain is (-4, infinite) and it's range is (0, infinite)

Step-by-step explanation:

If we graph this equation, we can see that x=-4 is the ascending point on the graph, infinitely continuing upwards, giving us -4, infinite. The range, however is found with infinitely continuing off the graph to the right, making it a positive infinitely for the y value as it is NOT a steady straight line.


Lily drew 37 hearts and 36 circles. What is the ratio of hearts to circles?
Simplify your answer if possible.

Answers

Answer:

37: 36

Step-by-step explanation:

You can not simplify. Have a good day!

Which point is an example of a y intercept?
A. (-2, 8) B. (3, 4)
C. (0, -4)
D. (5,0)

Answers

(0, -4)

this would be the y intercept because its lining up to the y axis of the plane.

What must 111,111,102 be divided by to get 9 as the quotient and 0 as the remainder?

Answers

ANSWER: 12,345,678

EXPLANATION:
we can work backwards by figuring out what 9(the answer) is multiplied by to get 111,111,102 (the starting number) we can do this by dividing by 9:

111,111,102/9 = 12,345,678

so: 9 * 12,345,678 = 111,111,102
which also means

111,111,102/12,345,678 = 9 (with 0 as a remainder)

What is 7/8 x 4/5 divided by 7/20

Answers

Answer: 2

Step-by-step explanation: First, multiply 7/8 by 4/5 which equals to 7/10. Then, divide 7/10 by 7/20. Finally, you should end up with a result of 2.

4/10 would be your answer to your question

how many times 92 go in too 100​

Answers

Answer:

5

Step-by-step explanation:

Answer:

1 time

Step-by-step explanation:

help me with this please

Answers

Answer:

26

Step-by-step explanation:

square root of 81 is 9, 9*2 is 18, square root of 64 is 8, 18+8 is 26

Answer:

26

Step-by-step explanation:

2(square root of 81)+square root of 64

2(9)+8=

18+8=

26

helpp ill mark u as brainlist​

Answers

Answer:

Assuming you want slope formula for this, it's y= (5/9)x -1

The product of a number and is 3 Find the number.
Your answer​

Answers

the product of

-3 and -11/9 is 3(2/3)

8. What is the result of (11x + 18i)(117 - 18i)?

Answers

1287x + 342 +(-198x + 2106) i

Six students are working to simplify the expression shown 4y+13x-5+6y-x

Answers

Answer:12x+10y-5

Step-by-step explanation:

Answer:

Step-by-step explanation:

What is an equation that is equivalent to -3/4x+1/8=-3/8?

Also the / is not a division symbol. The numbers with a / are fractions.

Answers

Hope this helps! Follow my Instagram trlamb822!

Four out of nine dogs weigh less than 20 pounds.
What is the decimal equivalent for the number of dogs weighing less than 20 pounds

Answers

Answer:

.44 repeating would be your decimal of dogs that weigh under 20 pounds.

Step-by-step explanation:

Answer:

.44

Step-by-step explanation:

can you guys please help​

Answers

Answer:

I cant read all of that. Im sure others ant either.

Step-by-step explanation:

Answer:

i cant read it for some reason, can you type it?

Step-by-step explanation:

please help this is very urgent!!! :((((

Answers

Answer:

7

Step-by-step explanation:

x = 2

3x/2+4

3(2)/2 + 4

3+4

7

7 is the correct answer

3.4 x 10^3 in standard notation

Answers

Answer:3400

Step-by-step explanation:

Answer:

3240

Step-by-step explanation:

3.24

×

10

3

=

3.24

×

1000

This means you move the decimal spot 3 digit spaces to the right.

Count 3 spaces:

3.2.4.0 →

3240

So then your number becomes

3240

I do not understand this ​

Answers

Answer:

It would be C. The hexagon.

Answer:It would be C because you have 3 sides for the triangle than 4 sides for the rectangle, 5 sides for the pentagon, and 6 sides for the hexagon

Step-by-step explanation:

Please Help Me :(((((( I Really Dont Know How TO Do This :(((((((
which explicit formula describes the sequence −9, −3, 3, 9, 15, …?
Group of answer choices

an = 9n + 6

an = 6n + 15

an = 6n - 15

an = 9n – 6

Answers

Answer:  an = 6n - 15   (Choice C)

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

Explanation:

This sequence is arithmetic

The first term is a = -9

The common difference is d = 6 since we're adding 6 to each term to get the next one (eg: -3+6 = 3 or 3+6 = 9 or 9+6 = 15)

Plug those values into the arithmetic nth term formula below

an = a + d*(n-1)

an = -9 + 6*(n-1)

an = -9 + 6n-6

an = 6n - 15

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

As a check, let's plug in something like n = 1

an = 6n - 15

a1 = 6*1 - 15

a1 = 6 - 15

a1 = -9

We see that the 1st term is -9, which matches the sequence given

Now let's plug in n = 2

an = 6n - 15

a2 = 6*2 - 15

a2 = 12 - 15

a2 = -3

The 2nd term is -3. This also matches.

I'll let you check the other values of n to confirm the answer.

Other Questions
We, the undersigned scientists, have been working in the field of atomic power. Until recently, we have had to fear that the United States might be attacked by atomic bombs during this war and that her only defense might lie in a counterattack by the same means. Today, with the defeat of Germany, this danger is averted and we feel impelled to say what follows: The war has to be brought speedily to a successful conclusion, and attacks by atomic bombs may very well be an effective method of warfare. We feel, however, that such attacks on Japan could not be justified, at least not unless the terms which will be imposed after the war on Japan were made public in detail and Japan were given an opportunity to surrender. If such public announcement gave assurance to the Japanese that they could look forward to a life devoted to peaceful pursuits in their homeland and if Japan still refused to surrender our nation might then, in certain circumstances, find itself forced to resort to the use of atomic bombs. Such a step, however, ought not to be made at any time without seriously considering the moral responsibilities which are involved. The development of atomic power will provide the nations with new means of destruction. The atomic bombs at our disposal represent only the first step in this direction, and there is almost no limit to the destructive power which will become available in the course of their future development. Thus a nation which sets the precedent of using these newly liberated forces of nature for purposes of destruction may have to bear the responsibility of opening the door to an era of devastation on an unimaginable scale. If after this war a situation is allowed to develop in the world which permits rival powers to be in uncontrolled possession of these new means of destruction, the cities of the United States as well as the cities of other nations will be in continuous danger of sudden annihilation. All the resources of the United States, moral and material, may have to be mobilized to prevent the advent of such a world situation. Its prevention is at present the solemn responsibility of the United Statessingled out by virtue of her lead in the field of atomic power. . . . In view of the foregoing, we, the undersigned, respectfully petition: first, that you exercise your power as Commander-in-Chief, to rule that the United States shall not resort to the use of atomic bombs in this war unless the terms which will be imposed upon Japan have been made public in detail and Japan knowing these terms has refused to surrender; second, that in such an event the question whether or not to use atomic bombs be decided by you in light of the considerations presented in this petition as well as all the other moral responsibilities which are involved.DISCUSSION QUESTIONS1. How would you sum up the scientists purpose in petitioning the president? 2. How would you describe the tone of the petition? 3. Under what circumstances do the writers say that use of the atomic bomb against Japan might be justified? 4. What solemn responsibility does the U.S. bear, according to the scientists? Why?5. 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