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3 years ago

Write a ponlynomial funstion in standard form with zeros at -2, 5 and 6

1 answer:

5 0

Hello,

You can begin by putting the given zeros into factored form.
f(x) = (x + 2)(x - 5)(x - 6)

Then, you can simplify the equation into standard form.
f(x) = x³ - 9x² + 8x + 60

Your final answer, in standard form, is f(x) = x³ - 9x² + 8x + 60.

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Freida drove 20 miles in 24 minutes. At this rate how many miles did she drive in 6 minutes?

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Freida drove 5 miles!

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3 years ago

PLEASE HELP ITS DUE TMR

sattari [20]

Answer:

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Step-by-step explanation:

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What is the solution to the system please help

IrinaVladis [17]

Answer:

$(-\frac{50}{13},-\frac{12}{13})$

Step-by-step explanation:

To start, you need to find the equation of both of these lines. For the orange one, the slope can be found with the points (-5,0) and (0,-4), where there is a drop of 4 for a run of 5. This is a slope of -4/5, and a y-intercept of -4. For the purple line, you can use the points (-2,0) and (0,1), where there is a rise of 1 for a run of 2 or a slope of 1/2 and a y intercept of 1. Therefore, the two equations are:

$y=-\frac{4}{5}x-4$

$y=\frac{1}{2}x+1$

You can now set them equal to each other:

$-\frac{4}{5}x-4=\frac{1}{2}x+1$

Add 4 to both sides:

$-\frac{4}{5}x=\frac{1}{2}x+5$

Multiply both sides by 2:

$-\frac{8}{5}x=x+10$

Multiply both sides by 5:

$-8x=5x+50$

Subtract 5x from both sides:

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$y=-\frac{12}{13}$

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3 years ago

When analyzing three linear functions, Michele noticed that they all intersected at the point (5, 3). What conclusion can Michel

xz_007 [3.2K]

Answer: option B. it has the highest y-intercept.

Explanation:

1) point -slope equation of the line

y - y₁ = m (x - x₁)

2) Replace (x₁, y₁) with the point (5,3):

y - 5 = m (x - 3)

3) Expand using distributive property and simplify:

y - 5 = mx - 3m ⇒ y = mx + 5 - 3m

4) Compare with the slope-intercept equation of the line: y = mx + b, where m is the slope and b is the y-intercept

⇒ slope = m

⇒ b = 5 - 3m = y - intercept.

Therefore, for the same point (5,3), the greater m (the slope of the line) the less b (the y-intercept); and the smaller m (the slope) the greater the y - intercept.

Then, the conclusion is: the linear function with the smallest slope has the highest y-intercept (option B).

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