Is there a picture for the question
Answer:
a=4
Step-by-step explanation:
combine like terms
8a-4=36
add on both sides
8a-4+4=36+4
8a=32
divide
a=32/8
a=4
Answer: x = {-3, -1, 1, 7}
<u>Step-by-step explanation:</u>
f(x) = x⁴ - 4x³ - 22x² + 4x + 21
possible roots are: +/- 1, 3, 7, 21
Let's try x = 1
1 | 1 -4 -22 4 21
<u>| ↓ 1 -3 -25 -21 </u>
1 -3 -25 -21 0 <em>remainder is 0 so (x - 1) is a factor</em>
(x - 1)(x³ - 3x² - 25x - 21)
Next, let's try x = -1
-1 | 1 -3 -25 -21
<u>| ↓ -1 4 21 </u>
1 -4 -21 0 <em>remainder is 0 so (x + 1) is a factor</em>
(x - 1)(x + 1)(x² - 4x - 21)
Then, factor the third polynomial
(x - 1)(x + 1)(x + 3)(x - 7)
Now, set each factor equal to zero and solve each one.
(x - 1) = 0 ⇒ x = 1
(x + 1) = 0 ⇒ x = -1
(x + 3) = 0 ⇒ x = -3
(x - 7) = 0 ⇒ x = 7
There are 13 almonds and 9 walnuts per bag so that’s 13+9=22 nuts per bag.
If there are x bags then the number of nuts is 22x.
Assuming y is the total number of nuts we get y=22x
You can divide 20 by 10 and you should get 2, or do 20 divided by 2 and get 10.
