Movies = x
Video Games = y
1st Month = 5x+3y = 26 (1)
2nd Month = 7x+9y = 64 (2)
(1) x 3; 15x+9y = 78 (3)
(3)-(2);
15x+9y-(7x+9y) = 78-64
15x+9y-7x-9y = 14
8x = 14
x = $1.75
Therefore substituting x in (1);
5x1.75+3y = 26
8.75+3y = 26
3y = 26-8.75
y = $5.75
Hope i helped! Please mark Brainliest if you can :)
Let
x ----> kilograms of strawberries that Sheldon picks in the morning
y ---> kilograms of strawberries that Sheldon picks in the afternoon
so
we have that
x=y-1 2/5
x=2 1/4 kg
substitute
2 1/4=y-1 2/5
Convert mixed numbers to an improper fraction
1 2/5=1+2/5=7/5
2 1/4=2+1/4=9/4
substitute
9/4=y-7/5
y=(9/4)+(7/5)
y=(45+28)/20
y=73/20 kg
Adds kilograms in the morning and afternoon
x+y=(9/4)+73/20)
x+y=(45/20)+(73/20)
x+y=118/20 kg
Convert to mixed number
118/20=100/20+18/20=5+18/20=5+9/10=5 9/10 kg
therefore
<h2>The answer is 5 9/10 kg</h2>
![y=2x^2+8x-9\\D=b^2-4ac\\D=64-4(2)(-9)\\D=64+72 > 0](https://tex.z-dn.net/?f=y%3D2x%5E2%2B8x-9%5C%5CD%3Db%5E2-4ac%5C%5CD%3D64-4%282%29%28-9%29%5C%5CD%3D64%2B72%20%3E%200)
There are 2 roots so the only way to complete the square is,
![y=2x^2+8x-9\\y=2[(x^2+4x)]-9\\y=2[(x^2+4x+4)-4]-9\\y=2[(x+2)^2-4]-9\\y=2(x+2)^2-8-9\\y=2(x+2)^2-17](https://tex.z-dn.net/?f=y%3D2x%5E2%2B8x-9%5C%5Cy%3D2%5B%28x%5E2%2B4x%29%5D-9%5C%5Cy%3D2%5B%28x%5E2%2B4x%2B4%29-4%5D-9%5C%5Cy%3D2%5B%28x%2B2%29%5E2-4%5D-9%5C%5Cy%3D2%28x%2B2%29%5E2-8-9%5C%5Cy%3D2%28x%2B2%29%5E2-17)
Just factor 2 out of 2x^2+8x (just ignore the -9) then find the number that will make the terms be able to complete the square.
then complete the square and multiply 2 inside the brackets.
subtraction as you already get the vertex form and know how to complete the square.
Vertex Form: ![y=2(x+2)^2-17](https://tex.z-dn.net/?f=y%3D2%28x%2B2%29%5E2-17)
Answer:
x = -9
Step-by-step explanation:
4x = -36
x÷4 = -36÷4
x = -9
The volume of the cylinder is 31.4 in³.
The volume can be calculated with the following formula:
V=
r²h
V=
×1² in×10 in
V=
×10 in²
V≈31.4 in³