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4 years ago

Prove that the sum of 3 consecutive numbers is always a multiple of 3

Mathematics

1 answer:

Bad White [126]4 years ago

7 0

Proof:

3 consecutive integers are x, x+1 , x+2.

Add these values.

x+x+1+x+2

3x+3

3×(x+1)

3(x+1) is the multiple of 3 for any integer value of x.

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Which function has the greatest maximum y-value?

larisa86 [58]

Answer:

g(x)

Step-by-step explanation:

y-intersect for h(x) is -11 as shown in the table, where the x value is 0

y-intersect for f(x) you find out by subbing 0 in the place of x and get the y intersect value of 2.99

y-intersect of g(x) is 3 as shown in the drawing

as seen across the three y-intersects, the value of g(x) y-intesect is the greatest

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3 years ago

2y=-8 which set of steps shows the solution to the equation

Rainbow [258]

2y=-8
We need to clear "y" with inverse operations.

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3 years ago

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PLEASE HELP ASAPPPP!!!!!!!!

Lisa [10]

Answer:

slope: 1.25

Part B: The order in which the points are given does not change the value of the slope

Step-by-step explanation:

Part A. Given two points we can find slope using the slope formula

$m = \frac{y_2-y_1}{x_2-x_1}$

Given the points ( -6, 1/2) and ( -4,3 )

We plug in the y values and x values (starting with the last point give )

$m=\frac{3-.5}{-4-(-6)} \\3-\frac{1}{2} =2.5\\-4-(-6)=2\\\frac{2.5}{2} =1.25\\$

so we can conclude that the slope of a line that passes through the points ( -6, 1/2) and ( -4,3 ) is 1.25

Part B. The order in which the points are given does not change the value of the slope

Observe -

* flip the order in which the points are given *

given (-4,3) and (-6,1/2)

we use the same formula

*plug in the y and x values starting with the last point*

$m=\frac{.5-3}{-6-(-4)} \\.5 - 3=-2.5\\-6-(-4)=-2\\\frac{-2.5}{-2} =1.25$

The slope still equals 1.25 meaning that the order in which the points are given does not matter.

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3 years ago