<span>The general equation of a quadratic is expressed as y = ax^2+bx+c. To
convert the general equation to vertex form, we need to obtain this form:
(y- k)= a(x - h)^2
This could be done by using completing the square method.
</span><span>y = –3x^2 – 12x – 2
</span><span>y + 2 = –3(x^2 + 4x)
</span>y + 2 -12 <span>= –3(x^2 + 4x + 4)
</span>y - 10 = -3(x+2)^2
Therefore, the answer is the first option.
Answer:
x = -4
Step-by-step explanation:
f(x) = x² - 16
This is the difference of squares
which factors as
f(x) = (x - 4)(x + 4)
Therefor the negative zero is
x = -4
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Answer:
P(0, 4), Q(-3, 0)
Step-by-step explanation:
To find the y-coordinate of P, replace x with 0 and solve for y:
3y = 12
y = 4 . . . . . divide by 3
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To find the x-coordinate of Q, replace y with 0 and solve for x:
-4x = 12
x = -3 . . . . . divide by -4
Then the intercepts are P(0, 4) and Q(-3, 0). The line is drawn through those points for the indicated values of x.
Answer:
Step-by-step explanation:
p + n + d + q = 25
Put everything into quarters.
p and q are equally likely to be drawn
q + n + d + q = 25
There are 3 times as many nickels as quarters
n = 3q
q + 3q + d + q = 25
There is 25% more dimes than quarters.
d = 1.25 q
q + 3q + 1.25q + q = 25
6.25 q = 25
q = 25/6,25
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q = 4
p = 4
d = 1.25 * 4 = 5
n = 12
Answer:
Check the explanation
Step-by-step explanation:
Kindly check the attached images for the step by step explanation for the answer to the question