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3 years ago

List the steps to calculate the slope/rate of change using a calculator.

Mathematics

1 answer:

andrezito [222]3 years ago

4 0

Is this what you’re talking about

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Isaac shoveled 9 of his neighbors' driveways after a snow storm. He charged $25 for a short driveway and $45 for a long driveway

e-lub [12.9K]

Answer:

y($) = 405- 20x

Step-by-step explanation:

Number of short driveways = x

Number of long driveways = 9-x

Fee per long driveway = $45

Fee per short driveway= $25

Total amount = y

y ($) = 25x + 45 (9-x)

= 25x + 405 -45x

= 405- 20x

5 0

4 years ago

Consider the two lines l1:x=−2t,y=1+2t,z=3tl1:x=−2t,y=1+2t,z=3t and l2:x=−8+4s,y=0+5s,z=5+1sl2:x=−8+4s,y=0+5s,z=5+1s find the po

seraphim [82]

At the point of intersection, the coordinates are the same:

... (x, y, z) = (-2t, 1+2t, 3t) = (-8+4s, 5s, 5+s)

We only need two of the coordinates to solve for the values of s and t. Using the x- and y-coordinates, we have

... 4s + 2t = 8 . . . . . . x2 - x1 = 0, in standard form

... 5s -2t = 1 . . . . . . . y2 - y1 = 0, in standard form

Adding these equations gives 9s=9, so s=1. Substituting into either equation gives t=2.

Using the expression for l1 with t=2, the point of intersection is

... (-2·2, 1+2·2, 3·2) = (-4, 5, 6).

_____

We could have stopped after finding the value of s, because that defines the point. By finding the value of t, we can check the solution to make sure that l1 and l2 both give the same point for the respective values of s and t. (They do.)

8 0

3 years ago

Is this correct pls help

Lyrx [107]

Answer:

Volume of round cake pan = volume of cylinder

Volume of a cylinder = $\pi r^2h$ (where r is the radius and h is the height)

Radius = $\dfrac12$ diameter ⇒ $r=\dfrac72=3.5$

⇒ volume of round cake pan = $\pi \times 3.5^2 \times 2=24.5\pi$

= 76.97 in³ (nearest hundredth)

Volume of rectangular cake pan = volume of rectangular prism

volume of rectangular prism = $wlh$ (where w is the width, l is the length and h is the height)

⇒ volume of rectangular cake pan = 6 x 9 x 2 = 108 in³

As 108 > 76.97, the rectangular cake pan has a larger volume

4 0

2 years ago

How do you solve 9x-7= -7 for 2 step equations?

Alinara [238K]

You add +7 to both sides and then divide by 9 to get the x alone.

8 0

3 years ago

Read 2 more answers

Help with math asap!<br> ty in advance :)

Oxana [17]

Answer:

2.108*10^3

Step-by-step explanation:

6 0

2 years ago