Answer:
Parabola
Step-by-step explanation:
We are given that a function

The given function is an equation of parabola along y- axis.
General equation of parabola along y- axis with vertex (h,k) is given by


Compare it with given equation then we get
h=5, k=3
Vertex of given parabola =(5,3)
Substitute x=0 then we get

y-intercept of parabola is at (0,28).
Answer:
A
Step-by-step explanation:
(f*g)(x) = f(x) * g(x)
=(x2+1)(x4-1)=x6-x2+x4-1
X-intercepts
f(x) = 0
4x² - 15x - 4 = 0
4x² - 16x + x - 4 = 0
4x(x - 4) + 1(x - 4) = 0
(x - 4)(4x + 1) = 0 ⇔ x - 4 = 0 or 4x + 1 = 0
x = 4 or 4x = - 1 ⇒ x = - 1/4
Answer: -1/4 and 4.
Answer:

Step-by-step explanation:
We want to find the equation of the line that goes through: !6,-10) and is perpendicular to the line

Let's simplify the equation of the line to get:


The slope of this line is -5.
The perpendicular to this line has a slope of

The equation going through (6,-10) is

We substitute to get;

Expand;


Answer:
Step-by-step explanation:
1/2x - 2/3 × 15 = 30
1/2x - 10 = 30
1/2x = 30 + 10
1/2x = 40
x = 40 × 2
x = 80
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