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2 years ago

What is the slope of the line? y + 1 = 3(x- 4)

Mathematics

2 answers:

user100 [1]2 years ago

8 0

Answer:

Step-by-step explanation:

What is the slope of the line?

y + 1 = 3(x- 4)

y + 1 = 3x - 12

y = 3x - 13

the number next to the x is the slope which is 3

answer : 3

NARA [144]2 years ago

5 0

Answer: 3

Step-by-step explanation:

Let's start by converting this equation to slope intercept form

First Simplify

$y + 1 = 3(x- 4)\\y+1=3x-12$

Then isolate y

$y+1-1=3x-12-1\\\\y=3x-13$

In slope intercept form, y=mx+b, the slope is m

In this equation the slope would be 3

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You are planning to make an open rectangular box from aa 4141-in.-by-8181-in. piece of cardboard by cutting congruent squares

marissa [1.9K]

Answer:

13058.83 cubic inches

Step-by-step explanation:

Given that a rectangular box is having dimensions as 41x81 inches.

Let x be the side of square cut from all the four corners.

The open box made would have height as x and length 41-2x with width 81-2x

Volume =

$V(x) = x(41-2x)(81-2x)\\V(x) =x(3321-244x+4x^2)\\V(x) = 3321x-244x^2+4x^3\\V'(x) = 3321-488x+12x^2\\V"(x) = -488+24x\\$

Equate first derivative to 0

We get applicable root as x = 8.642

Max volume = 13058.83 cubic inches

3 0

3 years ago

Find the rate of change: Mike can bike 3 miles in an hour. What is the speed at which mike can bike?

masya89 [10]

Rate of change=change in y divided by change in x
y= 3,6,9
x= 1,2,3
The numbers chosen above are because if mike travels 3 miles in one hours then he can travel 6 miles in two hours and 9 miles in 3 hours.
Change in y = 3
Change in x = 1
3 / 1 = 3
So, the rate of change is 3.

3 0

3 years ago

Tickets to a pay cost 8 dollars each. Write an expression that gives the ticket cost in dollars for a group of g girls and b boy

Nana76 [90]

(g+b)*8

first add all of the people

and then multiply that by 8

7 0

3 years ago

How many steps does Jamila need to take to walk 120 ft?

KIM [24]

48 steps........ i just know lol