Answer:
y=2x^2 + 2x - 3 x -2 -1 0 1 2
Step By Step Explanation:
The values can be find by plugging the x values in the equation which gives us the y value ,
x -2 -1 0 1 2
y 1 -3 -3 1 9
(b) Plot the points on the graph and join by a smooth curve.
(c) The line y=1 will be passing through 1 and parallel to x-axis.
(d) solve 2x^2 + 2x - 3 = 1
Subtract 1 from both the sides ,
2x^2 + 2x - 2 = 0
Factoring out the 2 from the equation ,
2(x^2 + x - 1) = 0
x^2 + x - 1 = 0
Apply the quadratic formula
x=(-1-sqrt(5))/2 and x = (-1+sqrt(5))/5
M<0 = 37 so 90 - 37 = 53
m<B = 53
m<D = 90 - 53 = 37
m<A = m<D = 37
m<C = 90
Answer:
y-2 = 2/3(x-8)
Step-by-step explanation:
We have the line 6x-9y = -7
Let's rewrite it in the form y=mx+b
6x-9y = -7
Subtract 6x from each side
6x-6x-9y = -7 -6x
-9y = -6x-7
Divide by -9
-9y/-9 = -6x/-9 -7/-9
y = 2/3 x + 7/9
The slope is 2/3
If the line is parallel, the slope will be the same so the slope will be 2/3
We have the slope and a point (8,2) on the new line, so we can use the point slope form of a line
y-y1 = m(x-x1)
y-2 = 2/3(x-8)
-2 * (2x - y) / 3y - 5x
I don't really know how to explain it but this is the answer to wh<span>at expression is equivalent to (2/x-4/y)/(-5/y+3/x)</span>
The equation of the composite function is g(f(x)) = -2x - 6
<h3>How to graph the composite function g(f(x))?</h3>
The functions are given as:
f(x)= -2x - 5
g(x) = x - 1
In function g(x), we have:
g(x) = x - 1
Substitute f(x) for x
g(f(x)) = f(x) - 1
Substitute f(x)= -2x - 5
g(f(x)) = -2x - 5 - 1
Evaluate the difference
g(f(x)) = -2x - 6
This means that the equation of the composite function is g(f(x)) = -2x - 6
See attachment for the graph
Read more about composite functions at:
brainly.com/question/10687170
#SPJ1