Answer:
a=3
b=24
Step-by-step explanation:
If is a factor of , then the factors of must also be factors of .
So what are the factors of ? Well the cool thing here is the coefficient of is .
The zeros of are therefore x=-4 and x=3. We know those are zeros of by the factor theorem.
So x=-4 and x=3 are also zeros of because we were told that was a factor of it.
This means that when we plug in -4, the result will be 0. It also means when we plug in 3, the result will be 0.
Let's do that.
Equation 1.
Equation 2.
Let's simplify Equation 1 a little bit:
Let's simplify Equation 2 a little bit:
So we have a system of equations to solve:
16a-b=24
9a-b=3
---------- This is setup for elimination because the b's are the same. Let's subtract the equations.
16a-b=24
9a-b= 3
------------------Subtracting now!
7a =21
Divide both sides by 7:
a =3
Now use one the equations with a=3 to find b.
How about 9a-b=3 with a=3.
So plug in 3 for a.
9a-b=3
9(3)-b=3
27-b=3
Subtract 27 on both sides:
-b=-24
Multiply both sides by -1:
b=24
So a=3 and b=24
First identify how many want 7:00. 40 - 15 = 25
25/40 = 0.625
Thus, 62.5% wanted a 7:00 start time.
Diagonal of the rectangular prism=√(l²+w²+h²)
√(l²+w²+h²)=√(100+25+64)=√189 cm
Answer:
Mr. Marcum bought 5 child tickets and 2 adult tickets.
Step-by-step explanation:
First, assume that Mr. Marcum bought either 7 tickets of child tickets or 7 tickets of adult tickets. I'm using 7 child tickets for this working.
If Mr. Marcum bought 7 child tickets,
total money spent = $4 * 7 = $28
This is not equal to $40 and there has to be more money spent.
We should also calculate the price difference between the adult ticket and the child ticket.
Price difference per ticket = $10 - $4 = $6
This means that if Mr. Marcum bought an adult instead of a child ticket, he would spend $6 more.
In this case, Mr. Marcum has to spend $40- $28 = $12 more.
Hence, the number of adult tickets replacing the child tickets is $12/$6 = 2.
The number of child tickets = 7 - 2 = 5
Answer:
hmmmm give me a minute..
Step-by-step explanation: