Answer:
x= -2/3
Step-by-step explanation:
The best way to solve this problem is through completing the square so
Vertex is at
Axis of symytry is x= -2/3
Answer:
The equivalent expression is;
Step-by-step explanation:
The given expression is:
Recall that:
In our case, and .
We use this property of exponent to obtain;
Answer:
12
Step-by-step explanation:
40 times 0.6 is 24. 24 times .25 is 12
Answer:
a. 1.13 s
b. 30.25 ft
Step-by-step explanation:
Both questions can be answered by putting the equation into vertex form.
h = -16(t^2 -9/4t) +10 . . . . factor the leading coefficient from the t terms
Complete the square by adding the square of half the t coefficient inside parentheses and the opposite of the same amount outside parentheses.
h = -16(t^2 -9/4t +81/64) +10 +81/4
h = -16(t -1.125)^2 + 30.25
This tells us the vertex of the height curve is at (t, h) = (1.125, 30.25), which rounds to ...
- t = 1.13 seconds
- h = 30.25 feet
Answer:
Simplifying
(2x2 + -3x + 1)(x + -2)
Reorder the terms:
(1 + -3x + 2x2)(x + -2)
Reorder the terms:
(1 + -3x + 2x2)(-2 + x)
Multiply (1 + -3x + 2x2) * (-2 + x)
(1(-2 + x) + -3x * (-2 + x) + 2x2 * (-2 + x))
((-2 * 1 + x * 1) + -3x * (-2 + x) + 2x2 * (-2 + x))
((-2 + 1x) + -3x * (-2 + x) + 2x2 * (-2 + x))
(-2 + 1x + (-2 * -3x + x * -3x) + 2x2 * (-2 + x))
(-2 + 1x + (6x + -3x2) + 2x2 * (-2 + x))
(-2 + 1x + 6x + -3x2 + (-2 * 2x2 + x * 2x2))
(-2 + 1x + 6x + -3x2 + (-4x2 + 2x3))
Combine like terms: 1x + 6x = 7x
(-2 + 7x + -3x2 + -4x2 + 2x3)
Combine like terms: -3x2 + -4x2 = -7x2
(-2 + 7x + -7x2 + 2x3)
Step-by-step explanation: