Let, Number of Hours in Library = x
Number of Hours in babysitting = y
Inequality would be: x + y = 30 ;
& 8x + 6y ≥ 200
b) Solving: Multiply first equation by 6,
6x + 6y ≥ 180
Subtract it from 2nd equation,
2x ≥ 20
x ≥ 10
Now, substitute it in 1st equation,
10 + y = 30
y = 20
Your Answer would be (10, 20)
x - value is lesser or equal to 10, so it would move to left (decreasing direction)!
Hope this helps!
Y = 0.012x + 57,000
12% translates to 0.012. That number is in front of the x because it changes yearly.
The 57,000 is added afterwards (b) because it was there from the beginning
F (x) = 2x + 3; find f (–1)" (pronounced as "f-of-x equals 2x plus three; find f-of-negative-one"). In either notation, you do exactly the same thing: you plug –1 in for x, multiply by the 2, and then add in the 3, simplifying to get a final value of +1
Answer:
35w^3 + 44w
<em><u>Combine Like Terms:</u></em>
= 35w + 9w + 35w^3 + 25w^3 - 25w^3
= (35w^3 + 25w^3 - 25w^3) +(35w + 9w)
= 35w^3 + 44w
Hope this is right ♡
The answer is b. The Remainder<span> Theorem says that if a polynomial </span>f(x<span>) is divided by </span>x<span> – k, then </span>the remainder<span> is </span>f(k). k=3 in our case, so the remainder is simply f(3). Plug in x=3 into <span>f(x) = 7x4 + 12x3 + 6x2 - 5x + 16. f(x)=946. So the answer is b.</span>
