a moving company charges a flat rate of $85 plus and additional $0.17 per mile driven. How far must the company drive to earn at
2 answers:
Answer:
Atleast 88 miles
Step-by-step explanation:
We are given that
A moving company charges a flat rate=$85
Cost of 1 mile driven=$0.17
We have to find the distance drive by the company to earn at least $100.
Let x mile drive by company .
According to question
Subtract 85 on both sides of inequality
Divide by 0.17 on both sides
(round to nearest mile)
Hence, the company must drive atleast 88 miles to earn atleast $100.
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Answer:
x = - 1 ± 2i
Step-by-step explanation:
we can use the discriminant b² - 4ac to determine the nature of the roots
• If b² - 4ac > , roots are real and distinct
• If b² - 4ac = 0, roots are real and equal
• If b² - ac < 0, roots are not real
for x² + 2x + 5 = 0
with a = 1, b = 2 and c = 5, then
b² - 4ac = 2² - (4 × 1 × 5 ) = 4 - 20 = - 16
since b² - 4ac < 0 there are 2 complex roots
using the quadratic formula to calculate the roots
x = ( - 2 ± ) / 2
= (- 2 ± 4i ) / 2 = - 1 ± 2i
Answer:
Is shaded 5/8 of the area of the rectangle
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The area of triangle ABC represent 1/4 of the total area
The area of triangle CDE represent 1/8 of the total area
The shaded region is composed by one triangle equal to triangle ABC and three triangles equal to triangle CDE
so
The area of the shaded region is equal to
therefore
Is shaded 5/8 of the area of the rectangle
