Answer:
13
Step-by-step explanation:
16*26 = 416
Converting fl oz to quarts is x/32
16/32 = 0.5 quarts
416/32 = 13
Answer:
x - intercept : (27,0)
y- intercept : (0,81)
Step-by-step explanation:
you can rearrange the right side to make the equation look like y=mx+b
According to y=mx+b, b is the y-intercept
∴ (0,81) is the y-intercept of the equation
To find the x-intercept, plug in 0 for y and solve for x
∴ (27,0) is the x-intercept of the equation
Answer:
40
Step-by-step explanation:
40 reversed is 04. 40 - 36 = 04
Below are the steps to solving this problem.
the polynomial remainder theorem states that the remainder of the division of a polynomial f(x) by a linear polynomial x-r is equal to f(r). In particular, x-r is a divisor (= a factor) of f(x), if and only if f(r)=0.
first we are dividing by x - 2.
so, r = 2.
as this is a factor, the remainder must be 0.
so,
0 = f(2) = 2³ + a2² - 15×2 + b = -22 + 4a + b
22 = 4a + b
then we divide by x + 3.
so, r = -3.
and the remainder is 75.
so,
75 = f(-3) = (-3)³ + a×(-3)² - 15×-3 + b = 18 + 9a + b
57 = 9a + b
now we have 2 equations with 2 variables to solve.
and since one term (+b) is the same in both equations, we use a little trick to subtract the first from the second equation.
57 = 9a + b
- 22 = 4a + b
---------------------
35 = 5a + 0
a = 7
22 = 4×7 + b = 28 + b
-6 = b
a = 7
b = -6
