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Rudik [331]
3 years ago
10

SOMEONE PLEASE HELP ANSWER MY QUESTIONS!!!!!!!!!!!!

Mathematics
1 answer:
Semmy [17]3 years ago
4 0
1)
y=mx+b
where m is the slope

We know the slope is 5 and the line passes through the point (4,3).

m=5 \\
(4,3) \\
x=4 \\ y=3 \\ \\ 
3=5 \times 4 + b \\
3=20 + b \\
b=3-20 \\
b=-17

The equation of the line is:
y=5m-17

Now the second point:
(2,y) \\
x=2 \\
y \\ \\ y=5 \times 2 -17 \\ y=10-17 \\ y=-7

The answer:
The value of y is -7.

2)
The line passes through the origin, or the point (0,0), and has a slope of -32.
The slope is negative so the line goes down from left to right.
It crosses both x and y axes in the point (0,0).
Therefore, it only passes through II and IV quadrant.

You can also find the equation of the line, find one more point and draw it.
y=mx+b \\ \\
m=-32 \\
(0,0) \\
x=0 \\ y=0 \\ \\
0=-32 \times 0 + b \\
b=0 \\ \\
y=-32x

Find the y-coordinate of the point for example (1,y).
(1,y) \\
x=1 \\ y \\ \\
y=-32 \times 1 \\
y=-32

The line passes through the points (0,0) and (1,-32). Now you can draw it (see the attachment).

The answer:
The line passes through quadrants II and IV.

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Identify each verb in the following sentences
earnstyle [38]

Answer:

1.copied

2.built

3.built

3 0
3 years ago
My digits are consecutive numbers.
Alchen [17]

Answer:

456 is the number you are looking for.

Step-by-step explanation:

Consecutive numbers are numbers which continuously follow each other in the order from smallest to largest.

Have a nice day!

6 0
2 years ago
A local fast food restaurant takes in $9000 in a 4 hour period, where the amount taken in varies directly with the number of hou
Zepler [3.9K]

As per the direct variation formula, it take  11 hours : 6 minutes : 36 seconds to earn $25,000 for the restaurant.

Direct variation:

Direct Variation is said to be the relationship between two variables in which one is a constant multiple of the other.

Direct variation equation: y = kx

Given,

A local fast food restaurant takes in $9000 in a 4 hours period. Write a direct variation equation for the relationship income and number of hours.

Here we need to estimate how many hours it would take the restaurant to earn $25,000.

a) Let us consider income (I) directly varies to number of hours (h) where k is the constant of variation.

I = kh   ⇒  Direct variation equation

Solve for k:

9,000 = (k)(4)

k = 9,000/4

k = 2,250

b) When income (I) = 25,000, find the number of hours:

I = kh

25,000 = (2,250) (h)

h = 25,000/2,250

h = 11.11

It will take approximately 11 hours : 6 minutes : 36 seconds for the restaurant to earn $25,000.

To know more about Direct variation here.

brainly.com/question/14254277

#SPJ1

4 0
1 year ago
5. Joey has $125 to spend on school clothes this year. He only spent $80.00 on school
OLga [1]

Answer:

64%

Step-by-step explanation:

divide 80 by 125 and get .64

7 0
3 years ago
Read 2 more answers
Solve the following integral.<br><br> <img src="https://tex.z-dn.net/?f=%5Cint4x%5Ccos%282-3x%29dx" id="TexFormula1" title="\int
bagirrra123 [75]

Hi there!

\boxed{-\frac{4x}{3}sin(2-3x) + \frac{4}{9}cos(2-3x) + C}

To find the indefinite integral, we must integrate by parts.

Let "u" be the expression most easily differentiated, and "dv" the remaining expression. Take the derivative of "u" and the integral of "dv":

u = 4x

du = 4

dv = cos(2 - 3x)

v = 1/3sin(2 - 3x)

Write into the format:

∫udv = uv - ∫vdu

Thus, utilize the solved for expressions above:

4x · (-1/3sin(2 - 3x)) -∫ 4(1/3sin(2 - 3x))dx

Simplify:

-4x/3 sin(2 - 3x) - ∫ 4/3sin(2 - 3x)dx

Integrate the integral:

∫4/3(sin(2 - 3x)dx

u = 2 - 3x

du = -3dx ⇒ -1/3du = dx

-1/3∫ 4/3(sin(2 - 3x)dx ⇒ -4/9cos(2 - 3x) + C

Combine:

-\frac{4x}{3}sin(2-3x) + \frac{4}{9}cos(2-3x) + C

7 0
2 years ago
Read 2 more answers
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