Answer:
see below
Step-by-step explanation:
f(x) = 4x^2 + 8x − 5
To find the x intercepts set y = 0
0 =4x^2 + 8x − 5
Factor
0=(2x-1)(2x+5)
Using the zero product property
2x-1 =0 2x+5 =0
2x=1 2x = -5
x = 1/2 x = -5/2
The x intercepts are ( 1/2 ,0) and ( -5/2,0)
Rewriting in vertex form by completing the square
4 ( x^2 + 2x) -5
4 ( x^2+2x +1) -4*1 -5
4 ( x+1) ^2 -9
Vertex form is
a( x-h) ^2 +k where ( h,k) is the vertex
The vertex is ( -1,-9)
We know it opens upwards since a > 0
Plot the vertex and the x intercepts
The graph is symmetric on based on the vertex
Answer:
Square pyramid
Step-by-step explanation:
Answer: (-3, -5)
<u>Step-by-step explanation:</u>
-6x + y = 13
<u> 6x + 3y</u> = <u>-33 </u>
4y = -20
<u> ÷4 </u> <u>÷4 </u>
y = -5
6x + 3y = -33
6x + 3(-5) = -33
6x - 15 = -33
6x = -18
x = -3
*********************************************************************************
Answer: (, 2)
<u>Step-by-step explanation:</u>
9x + y = 5 → 1(9x + y = 5) → 9x + y = 5
3x - 3y = -5 → -3(3x - 3y = -5) → <u> -9x + 9y</u> = <u>15 </u>
10y = 20
<u> ÷10 </u> <u>÷10 </u>
y = 2
9x + y = 5
9x + (2) = 5
9x = 3
x =
10.222=10 and 222/1000
I'm not sure if that's what you were looking for but I hope this helps!