ANSWER:
a) y = 15x + 75
b) 50 weeks
EXPLANATION:
P A R T A
2 weeks, 105 dollars --> (2, 105)
5 weeks, 150 dollars --> (5, 150)
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<u>if we use slope intercept form (y=mx+b), we must:</u>
1) find the slope
y2 - y1 -->> 150 - 105 = 45
x2 - x1 -->> 5 - 2 = 3
45/3 = 15
2) find the y intercept
y = 15x + b -->> 150 = 15 (5) + b -->> 150 = 75 + b -->> 75 = b
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P A R T B
y = 15x + 75 (substitute the y with 825 because that is the goal)
825 = 15x + 75 (solve normally)
750 = 15x
50 = x
Answer:
<h3> The equation has one valid solution and no extraneous of solutions.</h3>
Step-by-step explanation:
Given the expression;
4x/3x+1 = x/2x+10
We are to get the nature of the value of x
Cross multiply;
x(3x+1) = 4x(2x+10)
3x²+x = 8x²+40x
Collect like terms;
3x²-8x² + x - 40x = 0
-5x²+x -40x = 0
-5x²-39x = 0
-5x² = 39x
-5x = 39
x = -39/5
<em>Since we have just one value of x hence, the equation has one valid solution and no extraneous of solutions.</em>
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Answer:
Step-by-step explanation:
hope this helps!
f(x) = 1 - ²/ₓ₃
y = 1 - ²/ₓ₃
y = 1 - ²/ₓ₃
y - 1 = ⁻²/ₓ₃
x - 1 = -2/y³
y³(x - 1) = -2
y³ = ⁻²/ₓ₋₁
y = ∛⁻²/ₓ₋₁
y = -∛(2x² - 4x + 2)/x - 1
f⁻¹(x) = -∛(2x² - 4x + 2)/x - 1
Answer:
55.8
Step-by-step explanation:
