Correct question is;
Factor out the GCF from the given polynomial. 10x³ + 16x² - 18x. (Type your answer in factored form.)
Answer:
GCF = 5x² + 8x - 9
Step-by-step explanation:
The given polynomial is;
10x³ + 16x² - 18x
First thing is to inspect the coefficients and see the greatest number that all three can be divided by evenly without remainder.
The greatest number is 2.
Secondly let's inspect the variables to see what we can factor out.
They all contain x. Thus, x is a factor.
Thus, we will divide each term by 2x to obtain the GCF of the polynomial.
GCF = (10x³/2x) + (16x²/2x) - (18x/2x)
GCF = 5x² + 8x - 9
Logan, the way you have phrased this question makes it a bit hard to follow. I'm going to take the liberty of paraphasing it:
"Catalan drives an average of 1.4 times faster during the first 105 miles of her trip than she does during the second 105 miles."
As we are told, let X represent her speed during the first 105 miles of her trip. She drives more slowly during the second 105 miles. Thus, her speed during the 2nd 105 miles is X/1.4.
Remember: distance = (rate)(time), or time = (distance)(rate)
We need to determine an expression for the time she spends driving. Let T1 be the time required to drive 105 miles at speed X mph and T2 be the time required to drive 105 miles at speed (X/1.4) mph.
What is the total time required to drive these 210 miles?
Total time = (time required to drive 105 miles at X mph) + (time required to drive 105 miles at X/1.4 mph).
This gives you TIME SPENT DRIVING as a function of X, her speed during the first 105 miles of driving.
Answer:
x=5 and x=-11
Step-by-step explanation:
(x-2)(x+8)=39
Subtract 39 from both sides
Factor:
(x-5)(x+11)=0
Set factors to 0.
x-5 =0
x+11 =0
x=5, x=-11
Answer:
x=< -1
Step-by-step explanation:
move the constant to the right-hand side and change its sign. 2x<-5+3
Calculate the sum
2x<-2
Divide both sides of the inequality by 2
x <-1
1. $300.00
3. $55.60
4. About 0.0227
7. 14 buses
8. 28.5
