MATHEMATICS HIGH SCHOOL

What is the slope of the line?

Answers

Answer 1

Answer:

Answer:

3/3=1

Step-by-step explanation:

rise over run

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Let f(x) = 7x - 13. Find f-1(x).

Answers

$f(x)=7x-13 \n \n y=7x-13 \ \ \ |+13 \ny+13=7x \ \ \ |/ 7 \nx=(1)/(7)y+(13)/(7) \n \n\boxed{f^(-1)(x)=(1)/(7)x+(13)/(7)}$

A cyclist travels 3 miles in 15 minutes. what is her average speed in mph

Answers

Answer:

12 mph

Step-by-step explanation:

Step 1: Convert 15 minutes to hours

15/60

1/4

0.25 hours

Step 2: Divide 3 by 0.25 hours

12 mph

It takes Jo 90 seconds to cut a a certain type of wood into 10 pieces. How long would it take Jo to cut the same wood type into 20 pieces?

Answers

so 90 seconds=10 pieces
10 pieces=9 cuts because just subtract 1 from number of pieces
2 pieces=1 cut
10 pieces=9 cust

90 seconds=9 cuts
10 seconds=1 cut

20-1=19
20 pieces=19 cuts
10 seconds per cut
10 times 19=190 seconds

it would take 190 seconds to cut into 20 pieces

In the space of 90 seconds Jo cuts a certain type of wood into 10 pieces.

Technically, this means that he had to strike that piece of wood 9 times.

So we can say that he strikes the piece of wood once every 10 seconds.

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

If he continues striking the wood at this pace, it will take him 190 seconds to make 20 separate pieces of wood, as he'd have to make 19 cuts.

Here is the sequence of strikes:

10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190

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

The answer is 190 seconds.

Which of the following equations is of a parabola with a vertex at (0, -3)?y = (x - 3)^2
y = (x + 3)^2
y = x^2 - 3
y = x^2 + 3

Answers

Answer: Third option is correct.

Step-by-step explanation:

Since we have given that

We need a parabola with a vertex at (0,-3)

If we select the equation:

$y = x^2 - 3$

When we put x = 0, we get

$y=0-3\n\ny=-3$

And similarly, when we put y = -3, we get

$-3=x^2-3\n\n0=x^2\n\nx=0$

Hence, third option is correct.

$The\ vertx\ form:y=a(x-h)^2+k\nwhere\ the\ coordinates\ of\ vertex\ are\ (h;\ k)\n\n-------------------------\n\nvertex:(0;-3)\n\ny=a(x-0)^2+(-3)=ax^2-3\n\nif\ a=1\ then\ y=x^2-3\leftarrow answer$

A rectangular prism is 3 meters long, 4 meters wide, and has a total surface area of 94 square meters. What is its height?

Answers

SA=2(LW+LH+WH)
SA=94
L=3
W=4
94=2(3*4+3H+4H)
divide both sides by 2
47=3*4+3H+4H
47=12+7H
minus 12 both sides
35=7H
divide oth sides by 7
5=H

5m is your answer

ANSER: 5cm

Step-by-step explanation:

i had the same question and got it right

Need answer please