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Vikki [24]
3 years ago
13

Equations from tables Plzz help

Mathematics
1 answer:
Serggg [28]3 years ago
6 0
1. Initial value: 10
Rate of change: 3
Equation: y + 3

2. Initial value: 3
Rate of change: 3
Equation: y + 3

3. Initial value: 8
Rate of change: -2
Equation: y - 2

The initial value is the y-coordinate when x is equal to 0.
The rate of change is the difference between one point to the next immediate point.
The equation shows the rate of change.
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Find the center and the radius for the circle, given the equation: X^2+16X+y^2-6y=-24
Alika [10]
The center of the circle is (5,3)
6 0
3 years ago
Write 3x^2-18x-6 in vertex form
Vedmedyk [2.9K]
The standard form of a quadratic equation is \displaystyle{ y=ax^2+bx+c, while the vertex form is:

                      y=a(x-h)^2+k, where (h, k) is the vertex of the parabola.

What we want is to write \displaystyle{ y=3x^2-18x-6 as y=a(x-h)^2+k

First, we note that all the three terms have a factor of 3, so we factorize it and write:

\displaystyle{ y=3(x^2-6x-2).


Second, we notice that x^2-6x are the terms produced by (x-3)^2=x^2-6x+9, without the 9. So we can write:

x^2-6x=(x-3)^2-9, and substituting in \displaystyle{ y=3(x^2-6x-2) we have:

\displaystyle{ y=3(x^2-6x-2)=3[(x-3)^2-9-2]=3[(x-3)^2-11].

Finally, distributing 3 over the two terms in the brackets we have:

y=3[x-3]^2-33.


Answer: y=3(x-3)^2-33
6 0
3 years ago
4) 8(-2 + 2n) + 3n = 40 +5n
Nikitich [7]

Answer:

use the distributive property to distribute the 8

-16+16n+3n=40+5n

-16+19n=40+5n

-16=40+5n-19n

-16=40-14n

-14n+40= -16

-14n= -16-40

-14n= -56

n= -56/-14

n= 4

5 0
3 years ago
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The answer would be a -3/4 I’m almost positive
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