Answer:
-2 and 5
Step-by-step explanation:
If roots of a quadratic are "a" and "b", then (x-a) and (x-b) are factors. Then the quadratic can be written as ...
y = (x -a)(x -b) = x^2 -(a+b)x +ab
That is, the constant (-10) is the product of the roots, and the x-coefficient (-3) is the opposite of their sum.
In short, you want a solution pair that has a sum of 3. Only one answer qualifies: -2 and 5.
Step-by-step explanation:
x = ounces of 20% solution
15% = 0.15
20% = 0.2
17% = 0.17
x × 0.15 + 8×0.2 = (8 + x)×0.17
x×0.15 + 8×0.2 = 8×0.17 + x×0.17
8×0.2 = 8×0.17 + x×0.02
8×0.03 = x×0.02
x = 8×0.03/0.02 = 12 ounces
we need to mix the 8 ounces of 20% with 12 ounces of 15% to get 17% alcohol (8 + 12 = 20 ounces of it).
Answer:
x= 1.74
Step-by-step explanation:
Area of triangle= ½ ×base ×height
We are given that the base is (x +4), the height is x and the area is 5.
5= ½(x +4)(x)
Multiply both sides by 2:
x(x +4)= 10
Expand:
x² +4x= 10
x² +4x -10= 0
Let's use the quadratic formula!
x= 1.74 or x= -5.74 (reject)
(nearest hundredth)
Answer:
The slope would be C) -1/2
Step-by-step explanation:
To find it, we need to use the slope formula and two points on the line. The points we'll use are (0, -3) and (2, -4)
m(slope) = (y2 - y1)/(x2 - x1)
m = (-3 - -4)/(0 - 2)
m = 1/-2
m = -1/2
