Answer:
y=17/2 and x=15/8
Step-by-step explanation:
By subsitution, we get 4x+4x+1=16, so 8x=15. Thus, x=15/8. Next, we plug x in to find y. y=4*15/8 +1, or 15/2 +1 = 17/2
Answer:
p = ½ (x₁ + x₂)
q = a (x₁x₂ − ¼ (x₁ + x₂)²)
Step-by-step explanation:
y = a (x − x₁) (x − x₂)
Expand:
y = a (x² − x₁x − x₂x + x₁x₂)
y = a (x² − (x₁ + x₂)x + x₁x₂)
Distribute a to the first two terms:
y = a (x² − (x₁ + x₂)x) + ax₁x₂
Complete the square:
y = a (x² − (x₁ + x₂)x + ¼(x₁ + x₂)²) + ax₁x₂ − ¼ a(x₁ + x₂)²
y = a (x − ½ (x₁ + x₂))² + a (x₁x₂ − ¼ (x₁ + x₂)²)
Therefore:
p = ½ (x₁ + x₂)
q = a (x₁x₂ − ¼ (x₁ + x₂)²)
Answer:
2.1 hrs
Step-by-step explanation:
In 1 hr, Phillip would have proofed 1/7 of the chapter. In 1 hr, Kim would have proofed 1/3 of the chapter. So, together in 1 hr, they would have proofed 10/21 of the chapter. So, it would take 21/10 or 2.1 hrs to proof the whole chapter together.
Answer:
1.)-8
2.)-5
3.)4
Step-by-step explanation:
So, the function f(x)=3x-5
The questions say "If you were to substitute these numbers what answer would you get?"
Understanding this,
First question is with x=-1
f(-1)=3(-1)-5
f(-1)=-3-5=-8
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f(0)=3(0)-5
f(0)=0-5=-5
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f(3)=3(3)-5
f(3)=9-5=4
