Answer:
B. y = 1.5x +8
Step-by-step explanation:
You can try x=4 in the various equations to see which gives the right value (14).
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A: y = -8(4) +1.5 = -30.5
B: y = 1.5(4) +8 = 14 . . . . . . . . . this equation works
C: y = 8(4) +1.5 = 33.5
D: y = -1.5(4) +8 = 2
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Alternatively, you can use the 2-point form of the equation of a line to write the equation:
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (20 -14)/(8 -4)(x -4) +14 . . . . fill in (x1, y1) = (4, 14); (x2, y2) = (8, 20)
y = 1.5(x -4) +14 . . . . . simplify somewhat
y = 1.5x +8 . . . . . . . . write in slope-intercept form
Ik it's late but for those who view this, the true answer is 3.458 x 10^17. Hope that helps ya guys!
Answer:
Navene because he multiplied it all an not added and i guess thats the course you had to do to find the sum of the time Annabelle worked...
Step-by-step explanation:
sorry if its wrong
Let's put this in terms of a system of equations. Let's call the numbers x and y, with x being the larger integer and y the smaller one. Since they are consecutive odd integers, we know that:
x = y + 2
The constraint is:
xy= 3(x+y) + 71 Simplify
xy = 3x + 3y + 71 Plug in (y+2) for x:
(y + 2) y = 3(y + 2) + 3y + 71 Simplify
y² + 2y = 3y + 6 + 3y + 71 Subtract 6y from both sides, add 71+6
y² -4y = 77
y² - 4y - 77 = 0
Factor:
(y - 11) (y+7) = 0
y = 11 or y=-7
When y = 11, x = 13, since x = y+2
Plug in to make sure:
xy = 3(x+y) + 71
11*13 = 3 (11 + 13) + 71
143 = 3 (24) + 71
143 = 72 + 71
143 = 143
Our values work!
Answer: 11, 13
Answer:
- 7 fiction books
- 23 non-fiction books
Step-by-step explanation:
The number of non-fiction read was 5 less than 4 times the number of fiction books.
Assume fiction books are x.
An equation representing this would be:
x + (4x - 5) = 30
5x - 5 = 30
5x = 30 + 5
x = 35 / 5
x = 7 fiction books
Non-fiction books:
= 4x - 5
= 4 * 7 - 5
= 23 non - fiction books
