Answer:
B, E
Step-by-step explanation:
It can be helpful to factor the first two terms:
f(x) = x^2(x -7) +36
This can make it easier to evaluate the function for different values of x.
The answer choices suggest you need to know whether f(5) and f(-14) match the values given here.
f(5) = 5^2(5 -7) +36 = -50 +36 = -14 . . . . matches choice B (and E)
f(-14) = (-14)^2(-14-7) +36 = -21(196) +36 . . . . <em>does not match</em> choice A (or D)
__
The one remaining answer choice we need to consider is C. If we look at f(0) for this equation, we find it is (-5)(-10) +14 = 64, which <em>does not match</em> f(0) = 36 for the function given in the problem statement.
The only true answer choices are B and E.
_____
The remainder theorem tells you that f(a) = the remainder from f(x)/(x -a).
Answer: Yes, he makes a reasonable inference.
Step-by-step explanation:
Since we have given that
Number of students = 60
Number of chosen science students = 12
Percentage of students who chose science is given by
12/60 x 100
= 1/5 x 100
= 20%
Since Mr. Rodriguez used the data to draw the inference that about 20% of middle school students prefer to read science fiction.
So yes, he makes a reasonable inference.
x+y=120_______1
x=4*y_________2
x=4y
substitute 4y for x in equation 1
`4y+y=120
5y=120
eliminate the coefficient of y
y=120/5
y=24
now,input 24 for y in equation 2
`x=4y
x=4*24
x=96
thus, the numbers are
96 and 24
(9,0) is the answer just imagine the area has moved 90°
By definition, the pitch of a roof is its vertical rise divided (In this case is 7 feet) by its horizontal measurement, which is called "Run" (42 feet). Therefore, you can calculate the pitch of this roof (P) by applying the following steps:
P=Tan^-1(Rise/Run) Rise=7 feet
Run=42 feet
When you substitute these values into the formula P=Tan^-1(Rise/Run), you obtain:
P=Tan^-1(Rise/Run)
P=Tan^-1(7/42) P=9.46º
<span>What is the pitch of the roof?
</span>
The answer is: The pitch of the roof is 9.46º.
