Answer:
(-4 , 1)
Step-by-step explanation:
We know that the turning point of any parabola is in its vertex. The x of the vertex can be calculated with the formula:
x = -b/2a
In our case b = 8, a = 1, so:
x = - 8/2 = -4
We plug this value into our original equation and find the y of the vertex:
(-4)^2 + 8(-4) + 17 = 16 - 32 + 17 = 1
Vertex = (-4 ; 1)
2|7 − 7x| = 2x + 4
|7 - 7x| = x + 2
7 - 7x = x + 2 or 7 - 7x = -(x + 2)
-8x = -5 or 7 - 7x = -x - 2
x = 5/8 or -6x = -9
x = 5/8 or x = 9/6
x = 5/8 or x = 3/2
To check for extraneous solutions, we check both solutions in the original equation.
<em>Check solution 5/8:</em>
2|7 - 7x| = 2x + 4
|7 - 7x| = x + 2
|7 - 7 * 5/8| = 5/8 + 2
|56/8 - 35/8| = 5/8 + 16/8
21/8 = 21/8
<u>Solution x = 5/8 works.</u>
<em>Check solution 3/2:</em>
2|7 - 7x| = 2x + 4
|7 - 7x| = x + 2
|7 - 7 * 3/2| = 3/2 + 2
|14/2 - 21/2| = 3/2 + 4/2
|-7/2| = 7/2
7/2 = 7/2
<u>Solution 3/2 also works.</u>
Answer: x = 5/8 or x = 3/2
Answer:
He can stand on one leg for 228 seconds.
Step-by-step explanation:
You multiply the 3.8 seconds by 60.
So, 3.8 * 60 = 228
Hope this helps :)
Answer: I choose B and A.
Step-by-step explanation:
B because it shows how to divide and then multiplies x by 15 to get the answer. A because it divides 9 by 100 and then it shows x and 15 percent plus One more.
Answer:
$13.68
Step-by-step explanation:
An easy way to find 3/8 of $36.48 is to find 1/8 first. To do this divide 36.48 by 8. This equals 4.56, then to find 3/8 multiply this by 3. Which equals $13.68. A faster way to do this is also to just multiply 3/8*36.48, which also equals $13.68.
