Answer:
Step-by-step explanation:
<u>Given ratio</u>
- 1/8 pound ⇔ 25 square feet
<u>To find </u>
<u>Divide both sides by 25</u>
- 1/8÷25 pounds ⇔ 25÷25 square feet
- 1/200 pounds ⇔ 1 square foot
Slope is m given the general formula y=mx+b.
For this equation slope is -2
Answer:
Step-by-step explanation:
The first parabola has vertex (-1, 0) and y-intercept (0, 1).
We plug these values into the given vertex form equation of a parabola:
y - k = a(x - h)^2 becomes
y - 0 = a(x + 1)^2
Next, we subst. the coordinates of the y-intercept (0, 1) into the above, obtaining:
1 = a(0 + 1)^2, and from this we know that a = 1. Thus, the equation of the first parabola is
y = (x + 1)^2
Second parabola: We follow essentially the same approach. Identify the vertex and the two horizontal intercepts. They are:
vertex: (1, 4)
x-intercepts: (-1, 0) and (3, 0)
Subbing these values into y - k = a(x - h)^2, we obtain:
0 - 4 = a(3 - 1)^2, or
-4 = a(2)². This yields a = -1.
Then the desired equation of the parabola is
y - 4 = -(x - 1)^2
Answer:
10
Step-by-step explanation:
Answer:
x = -13,67
Step-by-step explanation:
-3x - 5 = 36
-3x = 36 + 5
-3x = 41
x = 41/-3
x = -13 2/3
or
x = -13,67
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