Answer:
the other zero is represented by the ordered pair (4, 0)
Step-by-step explanation:
We have the factored expression
We must find out for what values of x this function is equal to zero.
Then we equal the function to zero and solve for the variable x
The function is equal to zero when one of the two terms of the product is equal to zero.
So
We already know that this is a solution
or
Then the other zero is represented by the ordered pair (4, 0)
Answer:
The answer is 0
Step-by-step explanation:
m(x)=2x3- 3x+12
m(-2)=6-3(-2)+12
=6-6
=0
<h3>
Answer: x = -12</h3>
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Work Shown:
Let's label angle 2 as y, so y = x+132.
Also, let's add another variable z. We'll make z equal to the angle adjacent and supplementary to angle y. So y+z = 180
Solve for z to get
z = 180-y
z = 180-(x+132)
z = 180-x-132
z = 48-x
This angle z is added to the 90 degree angle to get the measure of the exterior angle 150 degrees. This is through the remote interior angle theorem.
So,
z+90 = 150
48-x+90 = 150
138-x = 150
-x = 150-138
-x = 12
x = -12
Function for compound interest:
Amount = Initial amount * ( 1 + (r/n) ) ^ (nt)
where r = interest rate per year, n = period per year
n = 2, r = 0.01
Answer: F(t) = 2,800 * [ 1 + (0.01/2) ] ^ 2t
Answer:
7
Step-by-step explanation:
In most cases the first step is to create an equation to solve for the missing variable
But in this case we are already given the equation
(7.25h + 5 = 6.5h + 10.25)
All we have to do is solve for h
7.25h + 5 = 6.5h + 10.25
Step 1 subtract 5 from both sides
7.25h = 6.5h + 5.25
Step 2 subtract 6.5h from both sides
0.75h = 5.25
Step 3 divide both sides by .75
h = 7
So at 7 hours the cost will be the same for both instructors