F(x) = a(x-h)²<span> + k
</span><span><u>Given that the vertex is (-3 -6):</u>
</span>f(x) = a(x + 3)² -6
<span>
<u>Given that it passes through (0.0), find a:</u>
a(0 + 3)</span>² - 6 = 0
<span>
9a - 6 = 0
9a = 6
a = 6/9 =2/3
<u>So the equation is :</u>
</span>f(x) = 2/3(x + 3)² -6
<span>
<u>Write the equation in standard form:</u>
</span>f(x) = 2/3(x² + 6x + 9) - 6
f(x) = 2/3x² + 4x + 6 - 6
f(x) = 2/3x² + 4x
<span>
Answer: </span>f(x) = 2/3x² + 4x<span>
</span>
Answer:
<em>The smallest number is 114921 and the cube root of the result is 339</em>
Step-by-step explanation:
The number 339 can be factored as:
339 = 3 * 113
Both factors are prime, thus to produce a perfect cube, we must multiply by each factor to the power of 2, that is:
3^2*113^2=114921
When we multiply 339 by 114921 we get 38958219, a perfect cube which cube root is 339.
Thus, the smallest number is 114921 and the cube root of the result is 339
Answer: x = -54
Step-by-step explanation:
Simplifying
(2x) = (4x + 108)
Reorder the terms:
(2x) = (108 + 4x)
Remove parenthesis around (108 + 4x)
(2x) = 108 + 4x
Solving
(2x) = 108 + 4x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4x' to each side of the equation.
(2x) + -4x = 108 + 4x + -4x
Combine like terms: (2x) + -4x = -2x
-2x = 108 + 4x + -4x
Combine like terms: 4x + -4x = 0
-2x = 108 + 0
-2x = 108
Divide each side by '-2'.
x = -54
Answer: 1/4
Step-by-step explanation: If you divide both 6 and 24 by 6 you get 6/6=1 and 24/6=4.
D ...628 feet.
She rode the circumference of a circle.
Formula is (2xR)x3.14 (pi)
2 x R = 200
200 x 3.14 = 628
Step-by-step explanation:
