Answer:
y = 3x + 1
Step-by-step explanation:
As you can see the y-intercept is at the number 1
and for the slope, if u do rise over run or y/x you get....
3/1 = 3
So the slope is 3
Hope this helped!
1/5 + 1/3·x > 1/2·x - 1/4
1/3·x - 1/2·x > - 1/4 - 1/5
2/6·x - 3/6·x > - 5/20 - 4/20
- 1/6·x > - 9/20
1/6·x < 9/20
x < 54/20
x < 27/10
x < 2.7
Answer:
Step-by-step explanation:
2x² + 9x = -7
2x² + 9x + 7 = 0
When we multiply we should get 2*7 = 14 and when we add we should get 9. Find the factors of 14 ---> 1,2,7,14. Factors are 2,7 as when we multiply we get 14 and we we add, get 9
2x² + 2x + 7x + 7 = 0
2x( x + 1) + 7 (x + 1) = 0
(x + 1)(2x + 7) = 0
You use the FOIL method, and how you do this is -
(x - 7) (x + 8)
Multiply the first x by both numbers in the second factor. Which means, you multiply x by x and 8, the two in (x + 8).
With this, you get -
x^2 + 8x
Then do the same thing with -7.
-7x - 56
Then combine the two.
x^2 + 8x - 7x - 56
Combine like terms.
x^2 + x - 56
So now, 7 x 8 is 56
And -7 + 8 would be 1. And that is the value of “x” which is b in the form a^2x + bx + c.
Now with this, you take those two numbers and make the factors =
(x + 8) (x - 7)
Then you set these equal to 0.
x + 8 = 0
Subtract the 8 from both sides.
x = -8
————
x - 7 = 0
Add the 7 on both sides.
x = 7
Answer: A
Rate= 7/8 square foot : <span>1/6 hour=7/8*6/1=7*3/4=21/4=5 1/4 ft²/h</span>