Solve for x over the real numbers:
x^3 - 7 x^2 - x + 7 = 0
The left hand side factors into a product with three terms:
(x - 7) (x - 1) (x + 1) = 0
Split into three equations:
x - 7 = 0 or x - 1 = 0 or x + 1 = 0
Add 7 to both sides:
x = 7 or x - 1 = 0 or x + 1 = 0
Add 1 to both sides:
x = 7 or x = 1 or x + 1 = 0
Subtract 1 from both sides:
Answer: x = 7 or x = 1 or x = -1
Answer:
(-20 + 4) (2+7-35) = -19
Step-by-step explanation:
Area of big rectangle = LxW
=18 x 31
= 558 mm squared
area of small parallelogram= b x h
= 13 x 6
= 78 mm squared
area of shaded part = 558-78=480mm squared
Answer:
84 cookies
Step-by-step explanation:
First, find the amount she bakes per minute. It is given that Marissa bakes 30 cookies every 15 minutes, or:
30 cookies/15 minutes = 2 cookies/minute.
Marissa bakes 2 cookies per minute. Multiply 2 with 42 minutes to find the total cookies baked in 42 minutes:
42 x 2 = 84
84 cookies is your answer.
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Answer:
B.
Step-by-step explanation:
Hope this helps! Good Luck
