8. Evaluate: f(x) = x2 + 1
g(x) = 5 - x
a. (f+g)(x) =
b. (f-g)(x) =

Answers

Answer 1

Answer:

(f+g)(x)=2x+1+5 - x

(f+g)(x)=x + 6

(f - g)(x)= 2x + 1 - (5- x )

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


Related Questions

+10 points plus a brainly
Select the point(s) that are a solution to the equation or inequality.

y=7x−3
Question 5 options:

(2, 6)


(1, 0)


(0, -3)


(-1, -10)

Answers

Answer:

(0, -3) is good, good luck for you

7n+2=4n+17 what is the answer

Answers

Answer

n=5

Step-by-step explanation:

n is equal to five

Three sisters have ages that are consecutive odd integers. The sum of the age of the youngest and three times the age of the oldest is five less than five times the middle sister’s age.

Answers

Answer:

youngest   17  

middle  19

oldest    21

Step-by-step explanation:

Three sisters have ages that are consecutive odd integers

youngest = x

middle = x + 2

oldest = x + 4

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

The sum of the age of the youngest

x

and three times the age of the oldest

+ 3(x + 4)

is five less than five times the middle sister’s age

= 5(x + 2) - 5

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

x + 3(x + 4) = 5(x + 2) - 5

Distribute

x + 3x + 12 = 5x + 10 - 5

Combine like terms

4x + 12 = 5x - 5

Subtract 4x from both sides

12 = x - 5

Add 5 to both sides

17 = x

youngest   x = 17  

middle     x + 2 = 19

oldest     x + 4 = 21

Heyyyyyyyyyyyyyyyyyyyyyy

Answers

Answer:

7/12

Step-by-step explanation:

you have to find a common denominator, which would be 12. it would be 4/12 + 3/12. add them up, and you get 7/12

1/3 + 1/4 =

4/12+3/12= 7/12

Colleen buys a robot priced at $33.If the sales tax is10%,how much tax will Colleen pay?

Answers

Answer:

$3.3 tax

Final price is 36.3

Step-by-step explanation:

Firstly, if the tax is expressed in percent, divide the tax rate by 100. You can do this by simply moving the decimal point two spaces to the left. In this example, we do 10/100 = 0.1

tax= 33 * 0.1

tax=3.3

Finally, add tax to the before tax price to get the final price including tax.

The final price including tax = 33 + 3.3 = 36.3

Help please ! I need the answer ASAP

Answers

Answer:

[tex](f + g)(1) = - 3[/tex]

Step-by-step explanation:

[tex](f + g)(x ) = (2x - 3) + (4x - 6) \\ = 6x - 9 \\ \\ (f + g)(1) = 6(1) - 9 \\ = 6 - 9 \\ = - 3[/tex]

I hope I helped you^_^

simplify root 12 over root 3

Answers

Answer:

4

3

Step-by-step explanation:

pls mark brainliest if possible


Consider this function.
h(x) = (x - 2)^2+3

Which of the following domain restrictions would enable h(x) to have an inverse function?
a. x < 1
b. x >5
c. x < 3
d. x > 4

(Ps: all four answer and larger equal then or smaller equal then

Answers

Answer:

No inverse function:  (a), (b), (c)

Inverse function exists:  (d)

Step-by-step explanation:

The graph of h(x) = (x - 2)^2 + 3 is a parabola that opens upward and has vertex at (2, 3).  If the entire graph is drawn, and the horizontal line test then applied, h(x) would not have an inverse, because the horizontal line would intersect the  parabolic graph twice.

Note that if we restricted the domain to x ≥ 2, the resulting graph would pass the horizontal line test.  This would also be true for x ≥ 3, x ≥ 4, and so on.  Not so for (a) x < 1.  False for x > -5.  True for x < 3.  True for x > 4.

No inverse function:  (a), (b), (c)

Inverse function exists:  (d)

HELP1!!1!!1!


Solve your word problem using a model. Use complete sentences to describe your model, and interpret the quotient in the context of your word problem. If you wish, you may upload a copy of your model.

Answers

The model [tex]x = \frac{6}{3}[/tex], can be used to solve the world problem representing a scenario where John wants to share 6 apples amongst his three friends. x = 2, is the quotient which is interpreted as the number of apples each of John's friend will get.

Word problem describes real world situations which can be translated into expressions as a model.

For example, if John has 6 apples and John has three friends, how many apples would each of the friend get (x) if he is to share the 6 apples amongst the three of them?

To solve this, we can model the situation as follows:

Let x represent the number of apples each friend would get (quotient).

Thus:

[tex]x = \frac{6}{3}\\\\\mathbf{x = 2}[/tex]

The quotient (x) in this model can be interpreted as the number of apples each of John's friend will get.

Thus, the model [tex]x = \frac{6}{3}[/tex], can be used to solve the world problem representing a scenario where John wants to share 6 apples amongst his three friends. x = 2, is the quotient which is interpreted as the number of apples each of John's friend will get.

Learn more here:

https://brainly.com/question/13818690

I need some help with this problem

Answers

B because the answer says 195 and remainder of 15 beet roots

Answer:

B is going to be our answer

Step-by-step explanation:

We said that we want each row to contain 40 beets

We divided and got 195 rows, with a remainder of 15.

This makes statement B true.

Amold uses
fence?
of a tin of paint to cover 1 z m of fence. What is the smallest number of tins he needs to cover 12 m of fence

Answers

12 tins because if he use one tin to cover 1 m of fence he should have to use 12 to cover 12m of fence

21. A square park has an area of 120 m2

a) What are the dimensions of the park? Give your answer to the nearest metre.
b) If fencing costs $18.50/m, how much would it cost to install a fence around the park?
Show your work

plsss help me quick :((

Answers

Answer:

120m2

$6.25

$4.50

85

57

12

12

32

54

69

87

89

12

34

58

What is the ratio of the number of beaks to the number of legs the chickens and the sheep have on this farm?

Answers

Answer: 1:9

Step-by-step explanation:

If you multiply 2 legs times 8 chickens we get 16

If you multiply 4 legs times 14 sheep we get 56

The number of legs is 16+56=72

So you have 8 beaks and 72 legs or 8:72

Divide both sides by 8 to simplify and you get 1:9 as the answer

Dylan is selling boxes of candy. He purchases them for $1.50 each and
marks up the price by 50%. How much is Dylan planning to charge? *

Answers

Answer:

2.25

Step-by-step explanation:

1.50+50%=2.25

simplify the expression below and rewrite it in rational exponent form

Answers

Well its D. 5x^9/10.y^1/3

Sum of an integer and 5 more than half of this integer is at almost 59

Answers

Answer:

36

Step-by-step explanation:

x + (1/2)x + 5 = 59

1.5x = 54

x = 36

78 decreased by half a number is 45 Find the number

Answers

78 - 45 = 33
Since it’s half a number you do
33 x 2 = 66
So the answer is 66

Answer:

number is 66

Step-by-step explanation:

let the number be n , then

78 - [tex]\frac{1}{2}[/tex] n = 45 ( subtract 78 from both sides )

- [tex]\frac{1}{2}[/tex] n = - 33 ( multiply both sides by - 2 to clear the fraction )

n = 66

The required number is 66

will mark brainly :)
y=1/2(x-3)^2
y=1/2(x+3)^2
y=2(x-3)^2
y=2(x+3)^2

Answers

Answer:

y = 1/2 (x-3) ^2

Step-by-step explanation:

I hope this helps!

graphically represent
The cuadratic relation

Answers

boberson is after then my mom

does any one know the Inequality Notation for this [9,∞)

Answers

Answer:

x>=9

Step-by-step explanation:

so, we can plot this on a number line

the point at 9 is a solid dot, since brackets (not parenthasis) indicates that we including the number. the shaded part of the line extends all the way to positive infinity. the shaded part means that it is a solution, while the un-shaded parts aren't solutions to [9,infinity) it is x>=9 and not x>9 because 9 is included.

x>=9 is the answer

please help
15 marks

Answers

Step-by-step explanation:

12a. y-y1=m(x-x1)

y-5=(2-5)/(1--3)(x--3)

y-5=-3/4(x+3)

4y-20=-3x-9

4y=-3x-9+20

4y=-3x+11

y=-¾x+11/4

12b.

Perpendicular lines have the product of their gradient equal to -1

For L1,the gradient is 3

For L2,we express in slope-intercept form

6y=1-2x

y=1/6-⅓x

The slope is -⅓

Now product of both slopes 3×-⅓=-1,thus the lines are perpendicular

what is the answer, i tried everything but i can’t seem to get the right answer

Answers

Answer:A

Step-by-step explanation: It never talks about 50 so i don't know why that is there so I think it is A because 21 dollars is more than 5+2.75, (not 100% sure but at least 85% sure)

Answer:

A

Step-by-step explanation:

The reason that this is A is because 5$ is the initial fee and you dont pay any more than that, since 21$ is the max you can afford it is going to be less than or equal to 21. and if it is 2.75$ per stop then it is the number of stops times 2.75. A is your answer.

edit: and the 50 kilometers doesnt have any value in the situation so basically it was just there to confuse you or throw you off.

For which function is the ordered pair (5, 10) not a solution?

y = 15 - x
y = x - 5
y = x + 5
y = 2 x

Answers

Answer:

y = x - 5

Step-by-step explanation:

y = x - 5

10 = 5 - 5

10 is not equal 0

Answer:

y = x - 5

Step-by-step explanation:

y = x - 5

10 = 5 - 5

10 is not equal 0

Which of the following must be true?

Answers

Answer:

answer is B because in the property of parallelogram it says ad is parallel to bc

I WILL GIVE BRAINIEST, PLEASE HELP

Answers

Answer:

A = (1, 10)

B = (4,10)

C = (4, 14)

D = (1, 16)

Step-by-step explanation:

Okay, so first, we move, or translate the quadrilateral PQRS down -8 spaces on the graph, turning old points:

P (1, -2) = (1, -10)     Q (4, -2) = (4, - 10)     S (1, -8) = (1, -16)     and R (4, -6) = (4, -14)

Now, we need to rotate this new box into -x, y. So our new points are:

(1, -10) = (-1, 10)     (4, -10) = (-4, 10)     (1, -16) = (-1, 16)     and (4,-14) = (-4, 14)

Now we're reflecting off the y-axis, making our x change. So for our final points:

A(1, 10)   B (4,10)    D(1, 16)    and C(4, 14)

Hope this helps! Please check my math and comment wether this worked or not! :)

Answer:

hi

Step-by-step explanation:

The width of a rectangular parking lot at the meadowlands is 3/8 mile. If the area is 5/8 square mile, what is the length of the parking lot

Answers

let width is x and length is y

x * y = area

=> 3/8 * y = 5/8

=> y = 5/8 ÷ 3/8

=> y = 5/8 * 8/3 = 5/3

the length of the rectangular parking lot is 5/8 mile.

Your friend tried putting away the sugar for you and cannot get the 14 cups of sugar to fit in the containers! They determined you would need 9 containers to store the 14 cups of sugar.

They show you their calculations:



Answer the following questions.

What mistake did your friend make in calculating the number of containers needed?
*Hint* Look closely at the work shown to find the mistake

How many containers are needed to store the leftover sugar?

Answers

Answer:

21 containers

Step-by-step explanation:

When dividing fractions, you can multiply by the inverse of the fraction. For example, in this case, [tex]14 divided by \frac{2}{3} = \frac{14}{1}x\frac{3}{2}[/tex]. Whoever drew the calculations made the mistake of forgetting to flip the second fraction.

The actual solution of the problem is 42/2, or 21/1. 21 containers are needed to store the sugar.

Question 3 "Try Again." Mary needs 3 feet of boondoggle for a craft project.
Boondoggle costs $0.25 per inch. How much will the project cost Mary?

Answers

Answer:

$9.00

Step-by-step explanation:

We can use conversion factors to solve this equation. The multiplication sequence that I got is shown below:

[tex]\frac{3ft}{1}[/tex] × [tex]\frac{12 in}{1ft}[/tex] × [tex]\frac{0.25}{1in}[/tex]

Our feet and inches cancel out and we get the final expression [tex]\frac{3*12*0.25}{1}[/tex], which is equal to 9, or $9.00.

Hopefully that was helpful! :)

help.....................

Answers

Answer:

Answers in Explanation

Step-by-step explanation:

First Question:

[tex]\sqrt{100}[/tex] + [18 ÷ 3 x 4 - 15] - (60 - 7^2 - 1)

[tex]\sqrt{100}[/tex] + [24 - 15]  - (60 - 49 - 1)

[tex]\sqrt{100}[/tex] + 9 - 10

10 + 9 - 10

Answer = 9

Second Question:

5x + 2x = 7x

5x^2 + 3x^2 = 8x^2

2x + 3x - x = 4x

2x + 3y + x + y = 3x + 4y

9x - 6x = 3x

-7y + 3x + 4x + 3y = 7x - 4y

-7x^2 + 2x^2 + 9x^2 = 8x^2

(3x^2 + 5x + 4) - (-1 + x^2) = 2x^2 + 5x + 5

(3 + 2x - x^2) + (x^2 + 8x + 5) = 10x + 8

(3x - 4) - (5x + 2) = -2x - 6

(2x^2 + 5x + 3) - (x^2 - 2x + 3) = x^2 + 7x

(3x^2 + 2x - 5) - (2x^2 - x - 4) = x^2 + 3x - 1

Third Question:

17x + 2y

(5x + 12y) + (3x + y) = 8x + 13y

17x - 8x = 9x

2y - 13y = -11y

Answer: 9x - 11y

If given 5 miles is 8km convert 13.5 miles into km

Answers

Step-by-step explanation:

There are 2 ways we can do this. We can use our friend which we will call a special device or we could actually solve using formulas we already know. Today, I will be using a formula but you can easily just use the secret device.

Step 1: Knowing the formula which is multiply miles by 1.609 and then round to the nearest tenth or hundredth.

13.5 X 1.609 = 21.7215.

Round down to 21.7.

Final Answer: 21.7 Km is equal to 13.5 miles or vice versa.

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