Answer:
<u>| </u><u>Music | World Language | Total </u><u> </u>
<u>8th grade</u><u> | 30 | 35 | 65 </u>
<u>7th grade</u><u> | 5 | 30 | 35 </u>
Total | 35 | 65 | 100
Answer:
x = 4 or x = -2
Step-by-step explanation:
Solve for x over the real numbers:
x^4 - 9 x^2 - 22 x - 24 = 0
The left hand side factors into a product with three terms:
(x - 4) (x + 2) (x^2 + 2 x + 3) = 0
Split into three equations:
x - 4 = 0 or x + 2 = 0 or x^2 + 2 x + 3 = 0
Add 4 to both sides:
x = 4 or x + 2 = 0 or x^2 + 2 x + 3 = 0
Subtract 2 from both sides:
x = 4 or x = -2 or x^2 + 2 x + 3 = 0
Subtract 3 from both sides:
x = 4 or x = -2 or x^2 + 2 x = -3
Add 1 to both sides:
x = 4 or x = -2 or x^2 + 2 x + 1 = -2
Write the left hand side as a square:
x = 4 or x = -2 or (x + 1)^2 = -2
(x + 1)^2 = -2 has no solution since for all x on the real line, (x + 1)^2 >=0 and -2<0:
Answer: x = 4 or x = -2
The answer is 13 and a half

= 6 Multiply both sides by g
f + 4 = 6g Subtract 4 from both sides
f = 6g - 4