Answer:
(x+2) (x+3) (x-5)
Step-by-step explanation:
x³-19x-30 = (x+2) (x²+ax-15) ... x³=x*(1*x²) while -30= (2)*(-15)
x³ +<u> 0</u>*x² - 19x -30 = x³ + (<u>2+a</u>)x² + (2a-15)x -30
2+a = 0
a = -2
x³-19x-30 = (x+2) (x²-2x-15) = (x+2) (x+3) (x-5)
If the hypotenuse is 58cm, and one of the others legs is 42cm the answer would be 40cm
Explanation:
Here you have to use the formula
Then you have to pose the formula in terms of one of the legs, so:
So when you change the letter for numbers you have that:
a=40
Answer:
$18.50
Step-by-step explanation:
You notice he gets $74 in 4 hours in which when you need to simplify it:
74/4
when you do this you should get
18.5
So Aaron's hourly pay rate is $18.50
Answer:
y = 3/2x-5/2
Step-by-step explanation:
We have two points so we can write the equation for the line. (-1,-4) and (3,2)
First we can find the slope by using
m= (y2-y1)/(x2-x1)
m = (2- -4)/(3 - -1)
=(2+4)/(3+1)
= 6/4
= 3/2
Then put the slope into the slope intercept form of the equation
y= mx+b where m is the slope and b is the y intercept
y = 3/2x+b
We will use the point (3,2) and substitute it into the equation to find b
2 = 3/2(3)+b
2 = 9/2 +b
Subtract 9/2 from each side
4/2 -9/2 = 9/2-9/2 +b
-5/2 = b
y = 3/2x-5/2