First convert them to vertex form
first one is y = 2(x + 0.75)^2 - 6.125
2nd is y = -2(x - 0.75)^2 - 3.875
the -2 will cause a reflection of the first equation in the x axis . then a translation down of 6.125 + 3.875 = 10 units , followed by
a translation of -0.75-0.75 = -1.5 units to the right = 1.5
Answer:
First mechanic worked for 10 hours and second mechanic worked for 15 hours.
Step-by-step explanation:
Let first mechanic worked for X hours and second mechanic worked for Y hours .
Now, according to the question , they worked for a total of 25 hours .
Thus ,
X + Y = 25.
Y = 25 - X -(1)
Also, first mechanic is charging $ 95 per hour and second mechanic is charging $115 per hour .
Thus, total money charged by them will be 95X + 115Y .
Which is given to be $2675 in the question.
Thus 95X + 115Y = 2675. -(2)
Putting equation 1 in equation 2 we get ,
95X + 2875 - 115X = 2675
20X = 200
X = 10 hours.
Thus , Y = 25 - X = 15 hours.
Thus first mechanic worked for 10 hours and second mechanic worked for 15 hours.
Answer:
-105197.8
Step-by-step explanation:
4.42 × 10-104.2 × 1010 = -105197.8
Hope this helps!
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.
