MATHEMATICS MIDDLE SCHOOL

Which function is the inverse of f(x) = -5x-42

Answers

Answer 1
Answer:

Answer:

f'(x)=-(x+42)/5

Step-by-step explanation:

Rewrite f(x) as y:

y=-5x-42

Flip x and y and solve for y:

x=-5y-42

x+42=-5y

(x+42)/-5=y

So the inverse function is f'(x)=-(x+42)/5 (note that f' means inverse)

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80 POINTSSolve for x. Use the completeing the square method. x^2+8x=7

Answers

Answer:

x = -4 ±√23.

Step-by-step explanation:

x^2 + 8x = 7

(x + 4)^2 - 16 = 7

(x + 4)^2 = 23

x + 4 = ±√23

x = -4 ±√23.

Answer: The correct answer is C.

Step-by-step explanation:

⇒x^(2) +8x+16

⇒ which is also, (X+4x^(2) ) = 23

⇒ So, x + 4 is a square root of 23.

⇒ Then, it could be positive or negative one:

So that's why the answer would be C.

* Mark me the Brainliest:)) Hope this helps:)

Tricia wants to create a path using pebbles. She has 8 bags of pebbles and each bag covers an area of about 6 square feet. If she wants to make the path 2 feet wide, about how long can she make the path?

Answers

If she wants to make the path 2 feet wide, she can make 24 feet pathlength.

What is a rectangle?

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

Number of bags of pebbles = 8 _______(1)

Area covered by each bag = 6 ft²

This can be assumed as,

Length = 3 ______(2)

Width = 2

Area = 3 x 2 = 6 ft²

Now,

From (1) and (2)

1 bag makes a 3 feet length

so,

1 bag = 3 feet

8 bags = 24 feet

Thus,

If she wants to make the path 2 feet wide, she can make 24 feet pathlength.

Learn more about rectangles here:

brainly.com/question/15019502

#SPJ2
24 feet long
8*6=48
48/2=24
so...
your answer is 24 feet long

Hope this helps

P.S. can you mark this a  brainliest answer plz

A bank of 16 floodlights together use 4000 watts of power. how much power is used by each bulb

Answers

To solve this problem, divide the number of total watts by the number of lights.

4000 ÷ 16 = 250

Each light uses 250 watts.

What is the sum or product of 5×23×2

Answers

The answer is 230
Heres a tip: u can multiply 5 with 2 first to get a 10 and then you multiply it to 23 so its muchh more easier
230,you just have to multiply 5 times 23 and then you have to multiply that by 2

Which explicit formula
-8, -5, -2, 1, 4,...

Answers

Answer:

then 7,10,13 and so one so forth

Step-by-step explanation:

you are subtracting three as you go on.

Art supplies in Washington, D.C. Cost 28. If the sales tax is 6%, what was the total cost of supplies?

Answers

If the art supplies cost $28 and the sales tax is 6%, you must find 6% of 28. To do this, you must multiply 6 by 28, and then divide by 100. The result is 1.68. Then, to find the final cost, add the 6% of 28 (which is 1.68) to the original cost, $26, which is $29.68
Sales tax is:
$28.00* (6/100)= $1.68

$28.00+ $1.68= $29.68

The total cost of supplies was $29.68.
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