First step is 5+7(36x+8y) because you have to distribute
Given Situation : If 5 days ago is Friday, then what day of the week will be the day after tomorrow.
Answer:
If 5 days ago is Friday.
DAY1 is
- Saturday
DAY 2 is
- Sunday
DAY 3 is
-Monday
DAY 4 is
- Tuesday
DAY 5 is today
- And today is Wednesday
DAY 6
- Tomorrow is Thurdays
DAY 7
- Which is the day after tomorrow is Friday
Thus, the day that we are looking is Also Friday.
Answer:
160 miles
Step-by-step explanation:
Company A form $130 a day plus $0.30 per mile
Company A = 130 + 0.30x
Company B charges $50 a day plus $0.80 per mile
Company B = 50 + 0.80x
Where,
x = number of miles
Equate the cost of company A and company B
130 + 0.30x = 50 + 0.80x
Collect like terms
130 - 50 = 0.80x - 0.30x
80 = 0.50x
Divide both sides by 0.50x
x = 80 / 0.50
= 160
x = 160 miles
The number of miles in a day at which the rental costs for Company A and Company B are the same is 160 miles
Answer:
Option A.) 88 inches
Step-by-step explanation:
step 1
Find the circumference of the wheel
we know that
The circumference of a circle is equal to

we have


substitute

Find the roots
solve
we use hmm, completing the suare
2(x²-1.5x)=4
divide both sides by 2
x²-1.5x=2
take 1/2 of linear coeiftn and square it
-1.5/2=-0.75, (-0.75)²=0.5625
add that to both sides
x²-1.5x+0.5625=2+0.5625
factor perfect squaer trinomial
(x-0.75)²=2.5625
square root both sides, remember to take positive and negative square roots
x-0.75=+/-√2.5625
add 0.75 to both sides
x=0.75+/-√2.5625
the roots are x=0.75+√2.5625 and x=0.75-√2.5625
1/a and 1/b
1/(0.75+√2.5625) and 1/(0.75-√2.5625)
if the roots of a quadratic equation are r1 and r2 then it factors to
(x-r1)(x-r2)
so then we can factor our equation to be

if we were to try and expand it, we would get
x²+0.75x-0.5
that's the simpliest equation with roots 1/a and 1/b where a and b are he roots of 2x²-3x=4
x²+0.75x-0.5 is answer