The slope-intercept form of the linear function is y = m x + b , where m is the slope and b is y-intercept.
Here we have: y = 3 x - 3
a ) When y = 0
0 = 3 x - 3
- 3 x = - 3
x = ( - 3 ) : ( - 3 )
x = 1
When x = 0
y = 3 * 0 - 3
y = - 3
So x - intercept is ( 1, 0 ) and y-intercept is ( 0, - 3 ).
b ) The slope:
m = ( y2 - y1) / ( x2 - x1 ) =
= ( - 3 - 3 ) / ( 5- 7 ) = ( - 6 ) /( - 2 ) = 6 / 2 = 3
Answer: The slope m = 3 .
Y = - 4x^2 - 3x + 3 This thing is complex with fractions. I have to work it out.
y = -4(x^2 + 3/4 x) + 3
y = -4(x^2 + 3/4 x + (3/8)^2 ) + 3
y = -4(x + 3/8)^2 +3 + 4*(9/64)
y = -4(x + 3/8)^2 + 3 + 9/16
y = -4(x + 3/8)^2 + 3 9/16 Equation in Vertex form. <<<<< answer
y = -4(x + 0.385) + 3.5625 Equation in Vertex form. <<<< answer
One is in decimal form. One in fraction form.
the vertex (-3/8, 3 9/16) or alternately
the vertex (-0.375,3.5625)
You might want the graph to confirm my answer.
Answer:
<h2>2(x - 5)(x + 3)</h2>
Step-by-step explanation:
![2x^2-4x-30\\\\=2\cdot x^2-2\cdot2x-2\cdot15\\\\=2(x^2-2x-15)\\\\=2(x^2+3x-5x-15)\\\\=2[x(x+3)-5(x+3)]\\\\=2(x+3)(x-5)](https://tex.z-dn.net/?f=2x%5E2-4x-30%5C%5C%5C%5C%3D2%5Ccdot%20x%5E2-2%5Ccdot2x-2%5Ccdot15%5C%5C%5C%5C%3D2%28x%5E2-2x-15%29%5C%5C%5C%5C%3D2%28x%5E2%2B3x-5x-15%29%5C%5C%5C%5C%3D2%5Bx%28x%2B3%29-5%28x%2B3%29%5D%5C%5C%5C%5C%3D2%28x%2B3%29%28x-5%29)
Answer:
40-7/x
Step-by-step explanation:
seven less than 40
40-7
divided by a number(x)