Answer:
y = 0.36x + 4200.00
15100.00 miles.
Step-by-step explanation:
If the yearly cost for driving x miles is given by y dollars then the two ordered pairs to find the linear relation between x and y are (10000,7800) and (20000,11400).
So, the equation will be
⇒ 
⇒ 
⇒ 
⇒ 
⇒ y = 0.36x + 4200.00 ........... (1) (Answer)
Now, for y = $9636.00, from equation (1),
9636 = 0.36x + 4200
⇒ 0.36x = 5436
⇒ x = 15100.00 miles. (Answer)
Answer:
- (-16x² +10x -3) +(4x² -29x -2)
- (2x² -11x -9) -(14x² +8x -4)
- 2(x -1) -3(4x² +7x +1)
Step-by-step explanation:
I find it takes less work if I can eliminate obviously wrong answers. Toward that end, we can consider the constant terms only:
- -3 +(-2) = -5 . . . . possible equivalent
- -10 -5 = -15 . . . . NOT equivalent
- 3(-5) -2(5) = -25 . . . . NOT equivalent
- -9 -(-4) = -5 . . . . possible equivalent
- -7 -(-5) = -2 . . . . NOT equivalent
- 2(-1) -3(1) = -5 . . possible equivalent
Now, we can go back and check the other terms in the candidate expressions we have identified.
1. (-16x² +10x -3) +(4x² -29x -2) = (-16+4)x² +(10-29)x -5 = -12x² -19x -5 . . . OK
4. (2x² -11x -9) -(14x² +8x -4) = (2-14)x² +(-11-8)x -5 = -12x² -19x -5 . . . OK
6. 2(x -1) -3(4x² +7x +1) = -12x² +(2 -3·7)x -5 = -12x² -19x -5 . . . OK
All three of the "possible equivalent" expressions we identified on the first pass are fully equivalent to the target expression. These are your answer choices.
With the help of theorems involving circles, assuming that arc ABC is a central angle (meaning both legs of the angle start from the centerpoint), the measure of the inscribed angle is twice that of the central angle. Thus, arc AC is equal to 2*40°= 80°.
Step 2 because he/she took out the parentheses when he/she wasn’t supposed to!
Answer:
The cost is $352.80
Step-by-step explanation:
step 1. 14 * 12 = 168 ----> find out the area (base times height)
step 2. 168 * 2.10 = 352.80 -----> multiply the area with the cost of per square foot of the carpet
I hope this helped :))
