Answer:
Step-by-step explanation:
We want to find the equation of a quadratic function in factored form with zeros at <em>x</em> = -4 and <em>x</em> = 0 that passes through the point (-3, 6).
The factored form of a quadratic is given by:
Where <em>p</em> and <em>q</em> are the zeros and <em>a</em> is the leading coefficient.
Since we have zeros at <em>x</em> = -4 and <em>x</em> = 0, let <em>p</em> = -4 and <em>q</em> = 0. Substitute:
Simplify:
And since we know that the function passes through the point (-3, 6), f(x) = 6 when <em>x</em> = -3. Thus:
Simplify:
Thus:
So, our quadratic function is:
Answer:
-2
Step-by-step explanation:
Between the first two steps we see ...
Applying the distributive property to the first equation and comparing to the second, we see that ...
The number in the box should be -2.
The standard form of equation is: 4x+2y = -13
Step-by-step explanation:
the standard form of a linear equation in two variables is given by:
Given equation is:
Distributing -4 into the round bracket
Adding 4x on both sides
subtracting 5 from both sides
The standard form of equation is: 4x+2y = -13
Keywords: Linear equation, variables
Learn more about linear equations at:
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Answer:
f = 5.12
Step-by-step explanation:
f(8)=0.8(8)^2
f(8)=6.4^2
f(8)=40.96
f(8)/8 = 40.96/8
f = 5.12
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Answer:
4/10 is the answer
Step-by-step explanation:
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