Select the correct answer.
Consider functions fand g.
f(x) = 11x3 - 3x²
g(x) = 7x4 + 9x3
Which expression is equal to f(x) · g(x)?
OA. 74 +99x3 - 3x²
OB.
77x12 +999 - 21x8 - 2716
C.
18x7 + 10x6 + 6x5
OD.
777 + 7816 - 2715

Answer:

10 times

Step-by-step explanation:

We have two separate equations that represent this situation:

0.75x   ----> which represents recycling center #1

0.25x + 5.00   -----> which represents recycling center #2

To find the amount of times you would need to visit the recycling centers for the total cost to be the same, put both of these equations equal to each other:

0.75x = 0.25x + 5.00

Now, solve:

0.75x = 0.25x + 5.00                Subtract 0.25x from 0.75x

0.50x = 5.00                              Divide 5.00 by 0.50

x = 10

Thus, you would need to visit the recycling centers 10 times for the total cost to be the same.

Let's check this answer by plugging 10 into both equations:

0.75(10) = 7.5

0.25(10) + 5.00 = 7.5

Since both of the answers are the same, then 10 is the correct answer!

I hope this helps! Good luck!

Answer:

the linear approximation formula is based on the equation of the tangent line of a function at a fixed point. The linear approximation of a function f(x) at a fixed value x = a is given by L(x) = f(a) + f '(a) (x - a).

Step-by-step explanation:

Answer:

It is the spot where sons raise meat.

Answer:

569.49$

Step-by-step explanation:

7.25% = .0725

530.99 x 0.725 = 38.50

530.99$ + 38.50$

569.49$

This is our y intercept

This is our slope or rate of change

So

The equation becomes

Where m is miles driven

The no. of miles not including any tip the taxi traveled is 22 miles.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, The taxi company charged a pick-up fee of $3.20 plus $2 per mile.

Let, 'm' be the no. of miles and the total fare was $47.20.

Therefore, The numerical form of these statements is,

2m + 3.20 = 47.20.

2m = 47.20 - 3.20.

2m = 44.

m = 44/2.

m = 22.

So, The taxi traveled 22 miles.

learn more about numerical expressions here :

https://brainly.com/question/29199574

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ANSWER: SOLUTION

TO CHOOSE THE CORRECT OPTION

The ratio of 2 gallons to 3 quarts

A) 8 to 3

(B) 3 to 8

(C) 3 to 2

(D) 2 to 3

EVALUATION

Here we have to find the ratio of 2 gallons to 3 quarts

We know that

1 gallon = 4 quarts

∴ 2 gallon = 8 quarts

Hence the required ratio

= 8 : 3

Step-by-step explanation:

FINAL ANSWER

Hence the correct option is A) 8 to 3

Answer:y = 2/3x + 4

Step-by-step explanation:

I only see one equation so here is the equation of that line

M = rise/run = 2/3    y int = 4

y = 2/3x + 4

Answer:

4.5

Step-by-step explanation:

the median is the middle number

You take the middle values, 4 and 5, and add them together. Then divide the sum of the values, 9, and then divide by 2.

Answer should be 4.5

Answer:

1200 centimeters=12 meters

Step-by-step explanation:

100 centimeters in a meter

so

100x12=1200

Answer:

Follow my directions:

Step-by-step explanation:

Your Slope-Intercept Form: y=2x-7

1.) Find (0,-7) that shall be your y-intercept.

2.) From your y-intercept [ (0,-7) ]  you need to go up 2 and over 1.

**Meaning go up on the y-axis 2 times and go right 1.

Answer:He would have to make a minimum of 13 sales

Step-by-step explanation:

When you divide 300 by 24 you will get 12.5 but you can’t make half a sale so you would have to round up to 13

Answer:

x = 26

angle QOR = 31

angle ROS = 59

Step-by-step explanation:

[tex](x + 5) + (2x + 7) = 90\\ 2x + x + 5 + 7 = 90 \\ 3x + 12 = 90 \\ 3x = 90 - 12 \\ 3x = 78 \\ x = 78 \div 3 \\ x = 26[/tex]

Sub x in

[tex](x + 5) \\ 26 + 5 = 31[/tex]

and

[tex](2 \times 26 + 7) \\ = 52 + 7 \\ = 59[/tex]

Answer:

b

Step-by-step explanation:

1000 meters in a kilometer

The correct answers are, A, D, and E.

Answer:

x < - 25

Step-by-step explanation:

| x + 3 | > 22

Case 1 : x + 3 > 22 [WORKED]

x > 22 - 3

x > 19

Case 2: - (x + 3) > 22

- x - 3 > 22

- x > 22 + 3

x < - 25

As case 1 and 2 don't overlap, so the answer of x should be:

x < - 25 or x > 19

[tex]y = ab^x \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x=0\\ y=14 \end{cases}\implies 14~~ = ~~ab^0\implies 14=a(1)\implies 14=a~\hfill \underline{y=14b^x} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x=6\\ y=896 \end{cases}\implies 896~~ = ~~14b^6\implies \cfrac{896}{14}=b^6 \\\\\\ 64=b^6\implies \sqrt[6]{64}=b\implies 2=b~\hfill \underline{y=14(2)^x}[/tex]

[tex]\text{Vertical angles are equal, so}[/tex]

[tex]~~~~~~15n-2 = 13n+12\\\\\implies 15n-13n = 12+2\\ \\\implies 2n = 14\\\\\implies n = \dfrac{14}2 \\\\\implies n = 7[/tex]

Answer:

Slopem=74

As a decimal:

m = 1.75

Step-by-step explanation:

Answer:

Rectangle

Step-by-step explanation:

Horizontal is going across. So when you slice the rectangular prism, you end up with rectangle

Answer:

It is a rectange

Step-by-step explanation:

No matter how high up or low you cut a horizontal cross section on a rectangular prism, it is always a rectangle.

84°

Step-by-step explanation:

diameter=168/2

=84°

Answer:

C. 48.98 m

Step-by-step explanation:

[tex]2\pi(7.8) = 15.6\pi = 49.01[/tex]

Answer:

6n-3

Step-by-step explanation:

You can see the sequence is ascending by 6 each time so the nth term is 6n.

The 'zero term' would be -3 so the equation would be 6n-3.

Step-by-step explanation:

the area of such a regular shape with n sides is the sum of n isoceles triangles (meaning each triangle has equally long legs) from the center to 2 neighboring corners.

the area of a triangle is

baseline × height / 2

so, for these triangles that means

shape side length × apothem / 2

in our case, n = 6, the side length = 5 cm, the apothem is 4.3 cm. and we get as total area

6 × 5×4.3 / 2 = 3 × 5 × 4.3 = 15 × 4.3 = 64.5 cm²

Answer:

the answer is below

Step-by-step explanation:

A. 4.0

B. 4.5

C. 3.5

D. 4.2

Answer:

4

it's not B or C or D so it has to be A

Answer:

You can can receive 9 different ways to receive change from a ten-dollar bill

Step-by-step explanation:

- Total spent: $9.79

- How much payed: $10

The change will be $10 - $9.79 = 0.21

- Change: $0.21

Possible coins:

penny: 1¢ ($0.01)

nickel: 5¢ ($0.05)

dime: 10¢ ($0.10)

25¢ (this is too high, can't use)

Combinations:

To get 21...

- not ideal but 21 pennies

- 11 pennies + 1 dime

- 1 penny + 2 dimes

- 16 pennies + 1 nickle

- 11 pennies + 2 nickels

- 6 pennies + 3 nickels

- 1 penny + 4 nickels

- dime + nickle + 6 pennies  

- dime + 2 nickels + 1 penny

using dimes:  [10, 10, 1]   [10, 5, 5, 1]   [10, 5, 6x1]   [10, 11x1]

using nickels:  [5, 5, 5, 5, 1]   [5, 5, 5, 6x1]   [5, 5, 11x1]   [5, 16x1]

using pennies: 21x1

So, there are 9 ways to make the change.

Answer:

1. 0 & 2

2. 5

3. 10

4. 17

hope this helps!

Answer:

The value of x = 109°

angle PQS = 24°

Step-by-step explanation:

24° + 47° + x = 180° { angles on straight line }

=> 71 ° + x = 180°

=> x = 180° - 71°

=> x = 109°

Now,

Angle PQS = 24°

angle PQS = angle QSR { alternative angle }

Step-by-step explanation:

a)(i) x=109°

(ii)It's given that PST is straight line then PST=180°,and

PST=QSP+QSR+x

180° =47°+24°+x

180°=71°+x

180°-71°=x

109°=x

b)(i)PQS=71°

(ii)we know opposite angles are equal in parallelogram

so PSR=PQR=71°