Answer: 15x² + 2x + 4
x = -2/3, 0, 1/2
Step-by-step explanation:
5x(3x + 2) - 4(2x - 1)
First, distribute:
15x² + 10x - 8x + 4
Combine like terms:
15x² + 2x + 4
This is your polynomial!
If you needed to solve for x, take your original factored polynomial and set each term equal to 0:
5x(3x + 2) - 4(2x - 1)
5x = 0
x = 0
3x + 2 = 0
3x = -2
x = -2/3
-4 = 0
No solution
2x - 1 = 0
2x = 1
x = 1/2
x = -2/3, 0, 1/2
Hope this helps!
I think it's 24.8 i'm not sure tho
Answer:
y = 0.9x - 0.8
Step-by-step explanation:
First you use the formula m = (y2-y1) / (x2-x1)
Sub in the 2 points you are given and you get m = (-8-1) / (-8-2)
m = -9/-10 = 9/10
Now u use the point slope formula, (y - y1) = m(x - x1)
Sub in the points and you get (y - 1) = 9/10 (x-2)
Expand it out to get y - 1 = 9/10x - 18/10
multiple everything by 10 = 10y - 10 = 9x -18
make y the subject, 10y = 9x - 8
y = 0.9x - 0.8
C) (0.85 + x/100)(250+145) does not give the correct answer.
Explanation
A) works; adding the two costs together is 250+145=395. We multiply this by 0.85 because 100%-15%=85%=0.85. We also have x% tax, which is represented by x/100, added to 100% of the value, or 1.00. Altogether this gives us
395(0.85)(1+x/100) = 395(0.85 + (0.85x/100)) = 395(0.85) + 395(0.85x/100)
= 395(0.85) + 395(0.0085x)
B) works; we have 250+145 for the original price; we have 85% = 0.85 of the value; we also have 100% + x%, which is (100+x)/100.
C) does not work; (0.85+x/100)(395) does not take into consideration that you are finding the tax after taking the 85%. This will simplify out to
0.85*395 + (x/100)(395) = 335.75 + 395x/100 = 335.75 + 3.95x, which is too much.
D) works; simplifying the expression from A, we have 395(0.85) + 395(0.0085x) = 335.75 + 3.3575x.
Answer:Put this in y= mx +b form
we have the slope(4) as well as a set of points for x and y so we have everything we need to solve for b
1= 4(2) + b
1 =8+b B=-7
so equation is y = 4x -7
Step-by-step explanation: can i get brainley? :)