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2 years ago

What is the slope of the line containing the points (-2, 1) and (4, -3)?

Mathematics

1 answer:

Kay [80]2 years ago

8 0

Step-by-step explanation:

the slope is always the ratio "y coordinate charge / x coordinate change" when going from one point on the line to another.

so, when going from (-2, 1) to (4, -3)

x changes by +6 (from -2 to 4).

y changes by -4 (from 1 to -3).

therefore, the slope is

-4/+6 = -4/6 = -2/3

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A box of cereal stated there are 90 calories in a 3/4 cup serving. How many calories are there in 4 cups of the cereal

Elenna [48]

Answer:

Step-by-step explanation:

Lets call the calories in one cup 'x'

so (3/4)x=90

Solving for x:

x=(90)/(3/4)

x=120

Now for 4 cups:

(4)(120)=?

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Find the slope of the lines through the points (2,-5) and (7,1)

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Step-by-step explanation:

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3 years ago

Which of these is closest in size to 1? 0.95 1.05 0.960 1.040 0.95

Artemon [7]

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Step-by-step explanation:

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3 years ago

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determine the maximum or minimum of the quadratic function. express your answer in the form (x,y) and using decimals rounded to

kolezko [41]

We are given the following quadratic equation

$f(x)=2x^2+7x-10$

The vertex is the maximum/minimum point of the quadratic equation.

The x-coordinate of the vertex is given by

$h=-\frac{b}{2a}$

Comparing the given equation with the general form of the quadratic equation, the coefficients are

a = 2

b = 7

c = -10

$h=-\frac{b}{2a}=-\frac{7}{2(2)}=-\frac{7}{4}=-1.75$

The y-coordinate of the vertex is given by

$\begin{gathered} f(x)=2x^2+7x-10 \\ f(-1.75)=2(-1.75)^2+7(-1.75)-10 \\ f(-1.75)=2(3.0625)^{}-12.25-10 \\ f(-1.75)=6.125^{}-12.25-10 \\ f\mleft(-1.75\mright)=-16.13 \end{gathered}$

This means that we have a minimum point.

Therefore, the minimum point of the given quadratic equation is

$(-1.75,-16.13)$

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1 year ago

Read 2 more answers