-5 is the intercept since y=mx+b, b being the intercept.
Answer:
8.60 units (3 s.f.)
Step-by-step explanation:
The distance between 2 points is given by the formula:
Thus using the above formula,
Distance between (-10, 9) and (-5, 2)
Let the numbers be x and y. Then xy = -30 and x+y = -3.
Solve xy = -30 for y: y = -30/x
subst. -30/x for y in x+y= -3: x - 30/x = -3
Multiply all 3 terms by x: x^2 - 30 = -3x, so x^2 + 3x - 10 = 0
Solve this quadratic equation for x. x: {-5, 2}
If x = -5, then x+y = -3 becomes -5 + y = -3, and y = 2.
You should check to determine whether x=2 is also correct. If it is, what is the corresponding y value?
9514 1404 393
Answer:
$2400
Step-by-step explanation:
The question is asking the amount invested in fund B. We can let 'b' represent that amount. Then the amount invested in fund A is (6000-b). The total profit from the investments is ...
0.02(6000 -b) +0.07(b) = 0.04(6000)
120 +0.05b = 240 . . . . . simplify
0.05b = 120 . . . . . . . . . subtract 120
b = 2400 . . . . . . . . . . .divide by 0.05
Alonzo invested $2400 in fund B.
