Answer:
-19
Step-by-step explanation:
f(x) = -11 + 8x
f(-1) =-11 + 8(-1)
= -11 -8
= -19
Subtract 2x from both sides.
3y = - 2x - 12
Divide every term by 3 to get the y-variable by itself.
y = - 2/3x - 4
Since the equation is not in slope-intercept form (y = mx + b), your y-intercept is just the number in the b slot. Y-intercept is - 4 or (0, - 4).
Now to find your x-intercept, plug in 0 where the y-variable is and solve for x.
0 = - 2/3x - 4
4 = - 2/3x
Multiply both sides by - 3/2 to isolate the variable.
4(- 3/2) = x
- 12/2 = x
- 6 = x.
Your x-intercept is - 6 or (- 6, 0).
La of sine:
sinC/c = sinB/b==> sin 37°/8 = sin B/12 ==> sin B = 0.903
arcsinB or sin⁻¹ B = 64.5°, & sin (B°) = sin (180° - B°), then
sin(64.5) = sin(180°-64.5°) ==> B = 64.5° or 115.5°
288 books.
8 books in 5 minutes.
60 minutes in one hour.
5 * 12 = 60
60 minutes * 3 = 3 hours
8 * 12 = 96
96 books in one hour.
96 * 3 = 288
288 books in three hours.
