All you do is solve for z. So 8z-13=7. To solve for a variable you have to do the opposite to cancel out the numbers on each side. First you add 13 over to 7 to cancel out 13 on the z side. So 8z=20 is what you have left. Then you divide 8 on both sides to cancel out 8 on the z side. what you are left with is z=2.5. Lastly you plug and check. 8(2.5) - 13 = 7, 20-13=7. And thats correct so z is 2.5.
Step-by-step explanation:
g(5)=3(5)-11
=15-11
=4
f(g(5))=2(4)²+4(4)+10
=2(16)+16+10
=32+26
=58
Step-by-step explanation:
= 2x - 9y + 4x + 11y
First of all combining like terms
So
= 2x + 4x - 9y + 11y
= 6x + 2y
Now putting values
= 6 (-2) + 2(4)
= - 12 + 8
= - 4
Answer:

Step-by-step explanation:
The combined distance that both planes will cover is 200 miles
Time taken by both planes will be the same (t)

So, the combined distance is

They will meet in
.