Solution:
y = 2x^2 - 3 ---- equation 1
y = 3x - 1 ------equation 2
Then we get,
2x^2 - 3 = 3x - 1
Now, simplifying the equation, we get
2x^2 - 3x - 3 + 1 = 0
2x^2 - 3x - 2 = 0
After factoring the equation, we get
(2x+1)(x-2) = 0
So, this means
(2x+1) = 0 and (x-2) = 0
From this, we get
x = -1/2 and x = 2
Putting values of x = -1/2 in equation 2
y = 3(-1/2) - 1
y = -2.5
Now, putting value of x = 2 in equation 2
y = 3(2) -1
y = 5
For this case we must factor the following expression:
We must find two numbers that, when multiplied, result in 9 and when added, result in -6.
These numbers are -3 and -3.
Then, the factored expression is of the form:
Thus, the correct option is option C.
ANswer:
Option C
This is a multiplication of fractions. If the tank is 3/4 full, and the tank holds 14.5 gal, then we need to multiply 14.5 * 3/4 First, convert 14.5 to 14 1/2 = 29/2 as an improper fraction Now, we have 29/2 * 3/4 = 87/8 = 10 7/8 gal That's how much gas is in the tank now. However, we want to know how much is needed to fill the tank. That can be determined by subtracting 10 7/8 from the amount that the tank can hold when full, which is 14.5 or 14 1/2. 14 1/2 - 10 7/8 can be re-written using improper fractions 29/2 - 87/8 We need a common denominator, which is 8 116/8 - 87/8 = 29/8 = 3 5/8 gal That's how much is needed to fill the tank
Answer:
What percentage of pick-up truck drivers want their next vehicle purchase to be another pick-up truck?
Should the speed limit be decreased on the highway connecting two large cities?
How many pedestrians would use a walkway built over a busy road?
Step-by-step explanation:
We use samples when using an entire population is not feasible.
It is not reasonable to ask every pick-up truck driver what they want their next purchase to be; there are too many owners of pick-up trucks. This means we should use a sample.
Many people drive a highway that connects two large cities. It is not reasonable to survey every person that drives it, so we should use a sample.
On a busy road, we may have many pedestrians; this means we should use a sample instead of the entire population.
Well we know the 45 is a constant so B and C are marked out which leaves us with A and D. Now we know that Lydee's mom has saved up 250 so she can't spend more than 250 dollars so it would be D
Answer: D
Hope I could help
