Answer: x = 4; x = 5
Step-by-step explanation:
The directions specify to solve by factoring
x^2 - 9x + 20 = 0
To factor, find two numbers that add to -9 and multiply to 20
-5 and -4 work
-5 + (-4) = -9
-5 * -4 = 20
(x - 4)(x - 5) = 0
x = 4, x =5
Answer:
$124 higher
Step-by-step explanation:
Given
Required
Represent the situation
Determine how much higher or lower is the remaining amount
Let the initial amount in his account be represented with x
When he deposited, the balance becomes
When he withdrew, the balance becomes
Hence, the algebraic expression is
Calculating how much higher or lower
Open bracket
Recall that the initial amount in the account is x
The difference between the balance and the x is as follows
<em>Hence, the account has a higher of $124 after both transactions</em>
(8x + 2y) - (7x + 2y) = 30 - 24
X = 6
Answer:
0.5 or 3/6 min
Step-by-step explanation:
so
1/3= 1/6min or 10 sec
to finish the whole apple 3/3 is required
1 part is 10 sec, 3 parts will be 30 secs which is 0.5 /3/6 min.
hope this helps
So hmmm x²+6x+8=0
alrite.. let's do some grouping now
( x² + 6x + [?]²) + 8 = 0
notice above, we have a missing fellow in order to get a perfect square trinomial... hmm who would that be?
let's take a peek at the middle guy of the trinomial.. 6x.. hmmm let's factor it, 2*3*x, wait a minute! 2 * 3 * x... we already have x² on the left-side, since the middle term is just 2 * the square root of the other two terms, that means that the guy on the right, our missing guy must be "3"
alrite, let's add 3² then, however, bear in mind that, all we're doing is borrowing from our very good friend Mr Zero, 0
so if we add 3², we also have to subtract 3², let's do so
(x² + 6x +3² - 3²) + 8 = 0
(x² + 6x +3²) + 8 - 3² = 0
(x+3)²=3² - 8
(x+3)² = 1
