Answer:
three times the sum of a number and 4, if n were to represent the unknown number, is:
3(n + 4)
18 more than a number is:
n + 18
If these two are the same, then they are equal to each other, then:
3(n + 4) = n + 18
*Do the distributive property on the left*
3n + 12 = n + 18
*Combine like terms*
2n = 6
*Divide both sides by 2*
n = 3
The number is 3.
This awnser is 309 and has 11.22 as the fraction
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:
Remove parentheses.
y=xln3x
2 Already solved. No work needed.
y=xln3x
the solution is in the picture above please mark me brainliest:)
