3x-11=17-4x add 4x to both sides
7x-11=17 add 11 to both sides
7x=28 divide both sides by 7
x=4
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:
-8=2x-y get this into y=mx+b form to find the y-intercept
-y=-2x-8
y=2x+8
the y-intercept is 8 so it passes through (0,8)
to find the x-intercept, set y to equal zero
0=2x+8
-8=2x
x=-4
the x-intercept is -4 so it passes through (-4,0)
the slope is 2 based on the slope-intercept form
Answer: 2520 inches.
I hope this helped! Please mark me brainliest :)
Answer:
$100.80
Step-by-step explanation:
40%/100%×72=$28.80
$72+$28.80=$100.80
