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

Answer:

2.25

Step-by-step explanation:

1.50+50%=2.25

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.

Answer:

4

√

3

Step-by-step explanation:

pls mark brainliest if possible

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

Answer

n=5

Step-by-step explanation:

n is equal to five

Answer:

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

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^_^

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).

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

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

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.

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)

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.

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

Answer:

36

Step-by-step explanation:

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

1.5x = 54

x = 36

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

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:

boberson is after then my mom

Answer:

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

Step-by-step explanation:

I hope this helps!

Answer:

120m2

$6.25

$4.50

85

57

12

12

32

54

69

87

89

12

34

58

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

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.

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

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! :)

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

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

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

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.

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

Answer:

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