<span>The sum of Kate age and her mother's age is 52, so
K + M = 52
Kate's mother is 20 years older then Kate, so
M = 20 + K
How old is each person?
Since M = 20 + K, substitute it into the first equation, that is, replace M with 20 + K
So, K + (20 + K) = 52
K + 20 + K = 52
2K + 20 = 52
Subtract 20 from both sides:
2K = 52 - 20
2K = 32
divide both sides by 2 to get
K = 16
Now we can find M, since M = 20 + K = 20 + 16 = 36
Kate is 16 years old and her mother is 36 years old.
Hope this helps!!1</span>
You still want at most
(15x) + (22y) ≤ 100(-z) (equation used)
0 ≤ z ≤ 10 (amount you want to leave unspent)
y ≥ 1 (amount of dress shirt you need)
This is your system of equation, in which the numbers must fulfill both equations
hope this helps
Replace <span><span>f<span>(x)</span></span><span>f<span>(x)</span></span></span> with <span>yy</span>.<span><span>y=3x−6</span><span>y=3x-6</span></span>Interchange the variables.<span><span>x=3y−6</span><span>x=3y-6</span></span>Solve for <span>yy</span>..<span><span>y=2+<span>x3</span></span><span>y=2+<span>x3</span></span></span>Solve for <span>yy</span> and replace with <span><span><span>f<span>−1</span></span><span>(x)</span></span><span><span>f<span>-1</span></span><span>(x)</span></span></span>.
<span><span>f<span>−1</span></span><span>(x)</span>=2+<span><span>x3</span></span></span>
Answer:
The correct answer to your question is -8
