Answer:
2x^2-4x=3
standard form of a quadratic equation =ax^2+bx+y=0
so you would bring the 3 over to the other side making the solution 2x^2-4x-3=0
Answer:
y = - 9
Step-by-step explanation:
Substitute in -1 for x
8(-1) - 2y = 10
-8 - 2y = 10
Subtract -8 from both sides
-8 - (-8) cancels out to 0
10 - (-8) = 18
We are left with:
-2y = 18
Divide by -2 on both sides.
-2y/-2 = y
18/-2 = -9
y = -9
Hi!
So, it looks like you're doing ratios.
Let's look at 9). If the model car is 4 inches long, and 1 inch equals 4 feet, than the actual car is 16 feet long. We know this because 4x4=16.
11) is also just as simple. If 1 cm is 11 km, and the two cities are 99 km apart, then on the map they are 9 cm apart. 11x9 is 99.
13) This is a 1:2 ratio. Basically, the flagpole's shadow is half of its height. You half the man's height to get a 3 foot shadow.
And, finally, 15)- if the model is 4 inches to the real life train's 3 feet, the actual train is 120 ft long, given that the model is 40 in long. 40x3=120.
I hope this helps! :)
Answer:
(5,3)
Step-by-step explanation:
Look for the coordinates of the point of intersection where the 2 graphs cross. This gives the solution.
In this case, they cross at (5,3) and they intersect at only one location (i.e there is only 1 solution)