Answer:
Step-by-step explanation:
y + 3 = 7(x - 1)
y + 3 = 7x - 7
y = 7x - 10
Answer:
Kayla sold 90 boxes of cookies.
Step-by-step explanation:
let's have X be the number of boxes Kayla sold.
x⇒100%
18⇒20%
Find x,
x=100/20 × 18
x=90
Answer:
q = -8, k = 2.
r = -6.
Step-by-step explanation:
f(x) = (x - p)^2 + q
This is the vertex form of a quadratic where the vertex is at the point (p, q).
Now the x intercepts are at -6 and 2 and the curve is symmetrical about the line x = p.
The value of p is the midpoint of -6 and 2 which is (-6+2) / 2 = -2.
So we have:
f(x) = 1/2(x - -2)^2 + q
f(x) = 1/2(x + 2)^2 + q
Now the graph passes through the point (2, 0) , where it intersects the x axis, therefore, substituting x = 2 and f(x) = 0:
0 = 1/2(2 + 2)^2 + q
0 = 1/2*16 + q
0 = 8 + q
q = -8.
Now convert this to standard form to find k:
f(x) = 1/2(x + 2)^2 - 8
f(x) = 1/2(x^2 + 4x + 4) - 8
f(x) = 1/2x^2 + 2x + 2 - 8
f(x) = 1/2x^2 + 2x - 6
So k = 2.
The r is the y coordinate when x = 0.
so r = 1/2(0+2)^2 - 8
= -6.
Answer:
96 decrease
Step-by-step explanation:
5000000-20000=
480000/500000 x 100
96
96% decreased
Answer:
Width: 10.5 feet
Length: 31.5 feet
Step-by-step explanation:
Let x represent width of the concrete slab.
We have been given that the length of a concrete slab is three more than three times the width. So length of the slab would be
.
We are also told that the area of slab is 330 square feet. We can represent this information in an equation as:




Now, we will take square root of both sides.


Therefore, the width of slab is approximately 10.5 feet.
The length of the slab would be
.
Therefore, the length of slab is approximately 31.5 feet.