Answer:
The one that gives us the fastest y-intercept is "b". The coordinates are (0,15).
Step-by-step explanation:
In order to check which form gives us the fastest y-intercept value, let's apply x = 0 in all three of them and check how many operations we need to do to get our desired results.
a) f(x) = -3*(x - 2)² + 27
f(0) = -3*(0 - 2)² + 27
f(0) = -3*(4) + 27
f(0) = -12 + 27
f(0) = 15
b) f(x) = -3*x² + 12*x + 15
f(0) = -3*(0)² + 12*(0) + 15
f(0) = 15
c) f(x) = -3*(x + 1)*(x - 5)
f(0) = -3*(0+1)*(0-5)
f(0) = -3*(-5)
f(0) = 15
The fastest one is "b". Since it is in the standard second degree equation form "a*x² + b*x + c", we could have checked immediately by the value of "c".
The y-interecept is (0,15).
26 adult tickets = $12 (cost of an adult movie ticket) • 26 = $312
There were $312 dollars worth of money sold from the adult tickets that were sold for the 10PM show.
$600 - $312 = $288
This means that there were $288 dollars worth of money sold from children’s tickets for the 10PM show.
Since each children ticket is $8, you would do
8x = $288
(X IS HOW MANY CHILDREN TICKETS THAT WERE SOLD)
Once you do that, you would simplify it by dividing 8x by 8 which would give you x by itself and do the same thing for the other side as you have to do the same for both sides of the equal sign. So, you would do $288 divided by 8 and get 36.
x = 36
To check our work, we will substitute the value of x into the equation
8(36) = $288
288 = $288
Therefore, there were 36 children tickets sold for the 10PM show.
Hello!
Let's write this as a proportion below.
Now we cross multiply and divide to find x.
≈ 61
Therefore,the car takes about
61 seconds for the car to drive a mile.
I hope this helps!
Where is the graph? Because it would be a lot easier to answer this if you could show a picture of the graph
Answer:
83
Step-by-step explanation:
The sum of the angles of a triangle is 180
x + 2x+1 + x+ 15 = 180
Combine like terms
4x+16 = 180
Subtract 16 from each side
4x+16-16 = 180-16
4x = 164
Divide by 4
4x/4 = 164/4
x = 41
The angles are
x=41
x+15 = 41+15 = 56
2x+1 = 2*41+1 = 82+1 = 83
The largest angle is 83
