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vfiekz [6]
3 years ago
5

The function f(x) = 1/2 x + 2 is changed to f(x) = − 1/2 x + 2. Which describes the effect of the change on the graph of the ori

ginal function?
A) The line will be steeper.
B) The line will be less steep.
C) Line changes from increasing to decreasing.
D) Line changes from decreasing to increasing.
Mathematics
1 answer:
Dimas [21]3 years ago
3 0

Answer:

C

Step-by-step explanation:

This is because the line was growing starting form the y-int=2.

Now the line is decreasing starting from y-int=2.


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This is what I am supposed to do, I’m confused on what to do on 3,4, and 5. PLEASE HELP ASAP!!!!!! 30 POINTS!!!!!
max2010maxim [7]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

To calculate m use the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

3

Using (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (- 3, 6)

m = \frac{6-0}{-3-0} = \frac{6}{-3} = - 2

Since the line passes through the origin (0, 0) then y- intercept is 0

y = - 2x ← equation of line

4

let (x₁, y₁ ) = (6, 0) and (x₂, y₂ ) = (0, 3)

m = \frac{3-0}{0-6} = \frac{3}{-6} = - \frac{1}{2}

note the line crosses the y- axis at (0, 3) ⇒ c = 3

y = - \frac{1}{2} x + 3 ← equation of line

5

let (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (-2, - 3)

m = \frac{-3-3}{-2-0} = \frac{-6}{-2} = 3

note the line crosses the y- axis at (0, 3) ⇒ c = 3

y = 3x + 3 ← equation of line

7 0
3 years ago
The ratio of teachers to students on a field trip to New York City is 2 to 9. If there are 243 students on the trip,
Veseljchak [2.6K]

Answer:

54 teachers

Step-by-step explanation:

Step one:

given data

The ratio of teachers to students on a field trip to New York City is 2 to 9.

That is the ratio is 2:9

We are told that there are 243 students

Required

We want to find the number of teachers

Step two:

Applying the part to part method we have

let the number of teachers be x

2/9= x/243

cross multiply we have

9x= 243*2

9x= 486

divide both sides by 9

x= 54

Hence there are 54 teachers

4 0
3 years ago
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densk [106]
28 because a constant is a number that doesn't have x attached to it.hope this helps
4 0
3 years ago
George sold 18, 22, 26, 12, 25, 20, and 19 cars per month over the past seven months. He followed the steps below to
ikadub [295]

Answer:

George made the first mistake by multiplying by 7 instead of 8

Step-by-step explanation:

The total cars needed to have a mean of 24:

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Total cars sold during the seven months:

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Subtract the total cars sold from the total cars needed:

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George needs to sell 50 cars in the eight month in order to have an average of 24 cars sold per month.

8 0
3 years ago
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Answer:

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Step-by-step explanation:

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