Answer:
a. The student's conclusion is incorrect because the solution to the system of equations 3x + 4y = 32 and 5x + 5y = 50 is (8, 2).
Step-by-step explanation:
The second equation needs to be ...
5x +5y = 50
because the wording "short of $18" means that the actual cost of that purchase would be $18 more than the $32 that Harry had. 18+32 = 50.
The only answer choice that shows this as the second equation is choice A.
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In fact, the solution to the system of equations is (8, 2), as can be seen in the graph below.
Answer:
all you need to do is fine the difference of the numbers
Step-by-step explanation:
Surface area of sphere is 
Step-by-step explanation:
We need to find the surface area of the sphere while we are given volume of sphere = 972π
The formula used to find surface area is:

We need to find radius of sphere
We are given Volume = 972π, using this volume we can find radius of sphere
The formula used to find volume is:

Putting values and finding r


Taking cube root on both sides
![\sqrt[3]{r^3}=\sqrt[3]{729}\\ r=9](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Br%5E3%7D%3D%5Csqrt%5B3%5D%7B729%7D%5C%5C%20r%3D9)
So, Radius of sphere r=9
Now finding surface area:




So, surface area of sphere is 
Keywords: Surface area of sphere
Learn more about Surface area of sphere at:
#leanwithBrainly
Hello,
Starting with problem one:
Subtract 66 from both sides.
z2−9z−66=66−66
z2−9z−66=0
Use quadratic formula with a=1, b=-9, c=-66.
z = 9/2+1/2√345
Problem two:
Subtract 17 from both sides.
y^2+16y−17=17−17
y^2+16y−17=0
Factor left side of equation.
(y−1)(y+17)=0
Set factors equal to 0.
y−1=0 or y+17=0
y=1 or y=−17
ANSWER: y=1 or y=−17
Problem 3:
2h^2−5h−(−1)=−1−(−1)
2h^2−5h+1=0
Use quadratic formula with a=2, b=-5, c=1.
ANSWER: h=5/4+1/4√17
Have an amazing day.