Answer:
x = 3
Step-by-step explanation:
4x + 3 = 5x
4x = 5x - 3
4x - 5x = -3
(4 - 5)x = 1x
-1x = -3
x = -1 × (-3)
<u>x</u><u> </u><u>=</u><u> </u><u>3</u>
<span>c = w * t*k
</span><span>198 = 220*5k
</span><span>198------ = k = .18220(5)
c = .18(175)(6) = 189
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First subtract the constant to the other side to simplify it for now
y-5=-x^2+6x
Then pull out a common factor so the coefficient is x^2
y-5=-1(x^2-6x)
Next you take 1/2 of the b value (-6) and square it to find your c value
[1/2(-6)]^2=9
After that plug 9 into your equation as your c value
y-5=-1(x^2-6x+9)
Adding the C-value (9) causes the equations to become unbalanced so you need to balance them back out by minus 9 to the other side
y-14=-1(x^2-6x+9)
Now you want to simplify the equation on the right side.
y-14=-1(x-3)^2
Finally you want to add the constant back to the right side.
y=-1(x-3)^2+14 <——— vertex form
maximum=(3,14)
It must have the same slope as the given line, so
m = -A/B = -1/-2 = 1/2
So far, we have
y = mx + b = x/2 + b
Use the given point to find b.
4 = -2/2 + b = -1 + b
b = 5
y = x/2 + 5
Multiply through by 2.
2y = x + 10
Standard form:
x - 2y = -10