Answer:
B. x = -3 and x = 4
General Formulas and Concepts:
<u>Algebra I</u>
- Terms/Coefficients
- Factoring
- Solving quadratics
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
f(x) = x² - x - 12
<u>Step 2: Solve for </u><em><u>x</u></em>
- Factor: (x - 4)(x + 3) = 0
- Solve: x = 4, -3
A ) This is a quadratic function:
y = a x² + b x + c
If the starting point is ( 0, 0 ) then c = 0
b ) The function is:
y = - 0.2 x² + 3.6 x
( with coefficients to the nearest tenth )
The graph is in the attachment.
c ) The roots:
x 1 = 0,
0.2 x = 3.6
x = 3.6 : 0.2
x 2 = 18d ) This is near the target ( 17 m ) . So the pumpkin
will hit near the target.
First subtract 78.2 from 287 and get 208.8. Then divide 208.8 by 0.5 and get x=417.6
<span>X/4 + 6 < x + 8
Step 1: Mult all terms by 4 to eliminate the fraction 1/4:
x + 24 < 4x + 32
Subtr. x from both sides; result is 24 < 3x + 32
Subtr. 32 from both sides: result is -8 < 3x, or 3x > -8, or x > -3/8</span>
Answer:
x = 1.5
Step-by-step explanation:
To get the vertex of a quadratic equation you can use the formula
x = -b/2a
where f(x) = ax² + bx + c
So you would get -12/2(-4)
-12/-8
x = 1.5
Then substitue x in the equation to find y. I won't be doing that here