Answer: So Lucía has 3.5 hours left, and need 1/2 of an hour (or 0.5 hours) to do one oil change.
a) If you divide the total time she has by the time she needs for each oil change, then you got the total number of oil changes that she can do in that time; this is:
3.5/0.5 = 7
So she can do 7 oil changes in 3.5 hours.
b) If she can complete two car inspections in the same amount of time it takes her to complete one oil change, then she can do two car inspections in 0.5 hours.
2*car inspections = 0.5 hours
car inspection = (0.5/2) hours
then one car inspection will take 0.5/2 = 0.25 hours.
c) Two ways to solve this:
1) Do the same that we did in a), this is: 3.5/0.25 = 14
she can do 14 car inspections.
2) If in 3.5 hours, she can do 7 oil changes, and in the time she does an oil change, she can do two car inspections, then in 3.5 hours she can do 7*2 car inspections, and 7*2 = 14
The slope of a line that is perpendicular to another line is the negative reciprocal of the other.
In this case, we know that the slope of the given equation is 2.
Since we're solving for a line perpendicular to it, we simply find the reciprocal of the 2 (It turns into 1/2) and make it negative.
y = -1/2x + b
Since the given states that the new y-intercept is 10, input it into 'b'.
y = -1/2x + 10
If you'd like me to explain anything I did here, just ask :)
-T.B.
X = 5 -
-7x - 3x + 2 = -8x - 8
+ 7x +7x
-3x + 2 = -x - 8
+3x +3x
2 = 2x -8
+8 +8
10 = 2x
/2 /2
x = 5
Answer:
I believe the answer will be around 28
Step-by-step explanation:
Hope this Helped
Answer:
Positive discriminant = 2 real solution
x= -5,-40
Step-by-step explanation:
The discriminant is used to see how many solutions an equation has. If it is negative, the equation has no real solutions, if =0 the equation has 1, and if it is positive, the equation has two real solutions.
The discriminant is the part of the quadratic formula inside the square root:

Every quadratic formula has the structure:

So first, in order to meet this structure we need to add 200 to both sides so the equation is equal to 0. This gives us:

Our a=1, b=45 and c=200
Now we can substitute these values into the discriminant:

Solve:

The discriminant is a positive number which means this equation will have 2 real solution. Now we just need to plug in our values into the quadratic formula to solve this equation. Quadratic formula:

(Same discriminant value)

Now to find the two solutions, we use both signs in the equation. Solution 1:


Our first solution is -5, now for the second:

The two solution to this equation are -5 and -40.
Hope this helped!