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3 years ago

Determine an equation of a quadratic function with x-intercepts of 2 and 8, that passes through the point E(10. - 16).

Mathematics

1 answer:

stiks02 [169]3 years ago

6 0

Step-by-step explanation:

We know that the parabola will be able to be factored into y=a(x+2)(x−3)y=a(x+2)(x−3), where aa will be some scaling factor that restricts the parabola to run through the point (5,10)(5,10). To find aa, just substitute values for xx and y,y,

y=a(x+2)(x−3)∣∣∣(5,10)⟹10=a(5+2)(5−3)y=a(x+2)(x−3)|(5,10)⟹10=a(5+2)(5−3)

We can then conclude that a=57a=57. Thus, our parabola is

f(x)=57x2−57x−307f(x)=57x2−57x−307

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5(4x+9)=-50+15 solve the equation

Alenkinab [10]

Answer:

x = -4

Step-by-step explanation:

5(4x+9)=-50+15

20x+45=-50+15

20x+45=-35

-45 -45

20x=-80

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x=-4

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3 years ago

What form of a linear equation is y - 6 = -4(x + 2) ?

Softa [21]

Answer:

Point slope form

Step-by-step explanation:

Given

$y - 6 = -4(x + 2)$

Required

Determine the form of linear equation

A linear has just three forms:

1. The slope intercept form.: This is always in form of $y = mx + b$

2. The point slope form: This is always in form of $y - y_1 = m(x - cx_1($

2. The standard form: This is always in form of $Ax + Bxx = c$

<em>By comparison, the three forms with the question, we can see that option B answers the question.</em>

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3 years ago

Which of the following graphs represents a function? If you don’t know then please don’t write “i don’t know” or “I can’t help w

Vadim26 [7]

Answer:

B. x

Step-by-step explanation:

The answer would be graph x. A function must be that one x value should only have one y value. graph w doesn't work since when you plug in 0, you get two y's. same thing with z. Y doesn't work since at x value of 3, it curves back so x value 2 has 2 y's. X is the only one that each x value has only one y.

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3 years ago

Read 2 more answers

Find the horizontal or oblique asymptote of f(x) = negative 3 x squared plus 7 x plus 1, all over x minus 2

leonid [27]

When you perform the indicated division, you get
$\dfrac{-3x^2+7x+1}{x-2}=-3x+1+\dfrac{3}{x-2}$

The "quotient" part of this result is the oblique asymptote:
y = -3x +1

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3 years ago

BRAINLIESTT ASAP! PLEASE HELP ME :)<br><br> Solve for x given that CE=36. Show your work.

grigory [225]

<h3>Answer: x = 7</h3>

Explanation:

Segment addition postulate

CD+DE = CE

this basically is the idea of gluing smaller pieces together to get a larger structure. We can go in reverse to break up a large item into smaller bits. This is assuming there is no leftovers, overlaps, or parts wasted/lost.

CD = 9

DE = 3x+6

CE = 36

----

CD+DE = CE

9+3x+6 = 36

3x+15 = 36

3x = 36-15

3x = 21

x = 21/3

x = 7

-----

If x = 7, then

DE = 3x+6 = 3*7+6 = 21+6 = 27

and

CD+DE = 9+27 = 36 = CE

confirming our answer

6 0

3 years ago