Answer:
The equation in standard form is: ![y=2x^2-2x-24](https://tex.z-dn.net/?f=y%3D2x%5E2-2x-24)
Step-by-step explanation:
Since they give you the x-intercepts (the zeros of the quadratic expression) one knows that the binomials: (x-(-3)) and (x-4) must be factors of the quadratic expression.
We can therefore write the equation as:
![y=k\,(x+3)(x-4)](https://tex.z-dn.net/?f=y%3Dk%5C%2C%28x%2B3%29%28x-4%29)
using the binomial factors given above, and a numerical factor "k" that we can determine by using the information that the graph passes through the point (2,-20):
![y=k\,(x+3)(x-4)\\-20=k\,(2+3)(2-4)\\-20=k\,(5)(-2)\\-20=k\,(-10)\\k=\frac{-20}{-10} \\k=2](https://tex.z-dn.net/?f=y%3Dk%5C%2C%28x%2B3%29%28x-4%29%5C%5C-20%3Dk%5C%2C%282%2B3%29%282-4%29%5C%5C-20%3Dk%5C%2C%285%29%28-2%29%5C%5C-20%3Dk%5C%2C%28-10%29%5C%5Ck%3D%5Cfrac%7B-20%7D%7B-10%7D%20%5C%5Ck%3D2)
Then,the equation can be written as:
![y=2\,(x+3)(x-4)\\y=2(x^2-x-12)\\y=2x^2-2x-24](https://tex.z-dn.net/?f=y%3D2%5C%2C%28x%2B3%29%28x-4%29%5C%5Cy%3D2%28x%5E2-x-12%29%5C%5Cy%3D2x%5E2-2x-24)
where we wrote the equation already in standard form
Answer:
x=-12 x =2
Step-by-step explanation:
-x^2-10x+24=0
Divide by -1
x^2 +10x -24 = 0
Factor
What 2 terms multiply to -24 and add to 10
12 * -2 = -24
12 -2 = 10
(x+12) ( x-2) = 0
Using the zero product property
x+12 =0 x-2 =0
x=-12 x =2
The answer
the full question is
In the diagram, KL =2√2 , LM =√5 , and MN = √2<span>. What is the perimeter of isosceles trapezoid KLMN?
to find the value of the perimeter the method is as follow:
</span>P= KL + LM + MN + KN and KN = KM (isosceles trapezoid)
P= 2√2 +√5 + √2 +√5 = 2√2 + √2 +√5 +√5= 3√2 + 2√5
the answer is 3√2 + 2√5
Answer:
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Step-by-step explanation:
the least number of
points and the Cowboys scored the erwamoseawwadt.waewae
If the product of thewadasawrfawdwa poiewadwarnts scored by
the Bears and WAdwaerwaCowdawrboyswq4e 423423423r53w4324we4w432was 3q23q232q423
The <em><u>correct answer</u></em> is:
b. 22%
Explanation:
To find the percentage withheld, we divide the amount withheld by the gross pay. This means we divide
83.2 ÷ 378.18 = 0.2200010577 ≈ 0.22 = 22%