Answer:
(a + 4)(a + 6)
Step-by-step explanation:
f(a) = a² + 10a + 24
I think you are asking us to factor the quadratic.
1. Multiply the leading coefficient and the constant
1 × 24 = 24
2. Find two numbers that multiply to give 24 and add to give 10.
Possible pairs are 1, 24; 2, 12; 3, 8; 4, 6
Start with the numbers near the end of the list.
By trial and error, you will find that 4 and 6 work:
4 × 6 = 24 and 4 + 6 = 10
3. Rewrite 10a as 4a + 6a
a² +4a + 6a +24
4. Factor by grouping the first two and the last two terms
a(a + 4) + 6(a + 4)
5. Distribute the a + 4
(a + 4)(a + 6)
a² + 10a + 24 = (a + 4)(a + 6)
Answer:
1/7
Step-by-step explanation:
x/y
Plug in the values.
(2)/(14)
Simplify.
1/7
For this case we have the following equation:
![\sqrt [4] {2x-8} + \sqrt [4] {2x + 8} = 0](https://tex.z-dn.net/?f=%5Csqrt%20%5B4%5D%20%7B2x-8%7D%20%2B%20%5Csqrt%20%5B4%5D%20%7B2x%20%2B%208%7D%20%3D%200)
If we subtract both sides of the equation ![\sqrt [4] {2x + 8}](https://tex.z-dn.net/?f=%5Csqrt%20%5B4%5D%20%7B2x%20%2B%208%7D)
we have:
![\sqrt [4] {2x-8} = - \sqrt [4] {2x + 8}](https://tex.z-dn.net/?f=%5Csqrt%20%5B4%5D%20%7B2x-8%7D%20%3D%20-%20%5Csqrt%20%5B4%5D%20%7B2x%20%2B%208%7D)
To eliminate the radical we raise both sides of the equation to the fourth power:
![(\sqrt [4] {2x-8}) ^ 4 = (- \sqrt [4] {2x + 8}) ^ 4](https://tex.z-dn.net/?f=%28%5Csqrt%20%5B4%5D%20%7B2x-8%7D%29%20%5E%204%20%3D%20%28-%20%5Csqrt%20%5B4%5D%20%7B2x%20%2B%208%7D%29%20%5E%204)
Answer:
Option D
Answer:
$9.25
Step-by-step explanation:
Total cost = sum of cost of hot dogs, french fries and soda:
= 2($2.85/hot dog) + 1($2.35/fries) + 1($1.20)
= $5.70 + $2.35 + $1.20
= $9.25
3/4 can be written as 6/8 which is smaller than 7/8 so 7/8 is bigger than 3/4
