X=-8,3.
divide all terms by the two in the first term to get x^2+5x-24=0. Then find the factors. To do so, find what two numbers can be multiplied to get 24, and whether those two numbers can be added or subtracted to get the middle term (5). Since 8x(-3)=24 and 8-3=5, (x+8) and (x-3) are the factors. Then set the factors equal to zero. Add or subtract these numbers to the other side of the equation and you then get x=-8,3. These are the roots.
Set it up as an equation.
3x-1=x+5
Now solve for x.
Add 1 to both sides and subtract x from both sides to isolate the x variable.
2x=6
Solve for x.
x=3
Answer:
If you have choices it is either -5 or 5.
Step-by-step explanation:
First, you find two points, which mine were (0,2) and (-1,7). The slope formula is y2 - y1 divided by x2 - x1. So, im going to subtract 7 - 2, which is your y2 - y1, to get 5. Then, i'm going to subtract -1 - 0, which is your x2 - x1, to get -1. Then, you divide 5 by -1 to get -5. I Hope This Helps :)
Answer:
x=6
Step-by-step explanation:
6x-7=4x+5
-4x. -4x
2x-7=5
+7. +7
2x=12
×=6
Answer/Step-by-step explanation:
Given that P varies directly with r, the equation for this direct variation would be:
,
Where,
P = power
r = radius
k = constant of variation.
If P = 550, when r = 11, constant of this direct variation is calculated as follows:
Plug in the values of P and r into the variation equation to find k.
Divide both sides by 11
Constant of variation = 50
To find the radius (r) of the gear whose power (P) = 715, substitute P = 715 and k = 50 in the variation equation.
r = 14.3
