The answer is D. dividing both sides by 4 isolates the variable
This solution is false. Hope this helped out
Answer:
see explanation
Step-by-step explanation:
Given a parabola in standard form
f(x) = ax² + bx + c ( a ≠ 0 )
Then the discriminant Δ = b² - 4ac informs us about the nature of the zeros
• If b² - 4ac > 0 then 2 real and irrational zeros
• If b² - 4ac > 0 and a perfect square then 2 real and rational zeros
• If b² - 4ac = 0 then 2 real and equal zeros
• b² - 4ac < 0 then zeros are not real
Given
f(x) = 3(x - 4)² - 12 ← expand factor using FOIL
= 3(x² - 8x + 16) - 12 ← distribute parenthesis by 3
= 3x² - 24x + 48 - 12
= 3x² - 24x + 36 ← in standard form
with a = 3, b = - 24 , c = 36 , then
b² - 4ac
= (- 24)² - (4 × 3 × 36
= 576 - 432
= 144 ← a perfect square
Then 2 zeros are real and rational and produce 2 x- intercepts
Answer:
$3
Step-by-step explanation:
Let chocolate pie be x and apple pie be y
Darryl made $38 from 2 chocolate pies and 4 apple pies
That’s
2x + 4y = $38
Kayla made $138 from 14 chocolate pies and 12 apple pies
That’s
14x + 12y = $138
We now have two equations
Equation 1 : 2x + 4y = 38
Equation 2: 14x + 12y = 138
Multiply equation one by 12 and equation 2 by 4 to eliminate apple pie y
We have
12 x 2x + 12 x 4y = 12 x 38
4 x 14x + 4 x 12y = 4 x 138
24x + 48y = 456
56x + 48y = 552
Subtract equation equation two from one
-32x = -96
Divide both sides by -32
x = -96/-32
x = 3
A chocolate pie cost $3
Answer: Harold must not charge more than X=30 per clock
Step-by-step explanation:
Based on Harold's profit equation, charging more than X=30 means Harold will have a profit of zero or a negative profit. therefore the price of a clock should range between 9 and 30
