If you're factoring, your answer is
(4x - 3)(4x + 5)
You'll work it out this way:
16x^2 + 8x - 15
Since there's no GCF here, you multiply the first and third terms, giving you -240. Your next step is to find two numbers that have a sum of 8 and a product of -240. These numbers are 20 and -12. Plug those in and you've got:
16x^2 + 20x - 12x - 15
From here you divide it into two binomials. These are (16x^2 + 20x) and (-12x - 15).
When you take out the greatest common factors (4x and -3), they become:
4x(4x + 5) - 3(4x + 5)
Then you group what's outside of the parentheses together (4x - 3)
And bring what's inside of the parentheses down (4x + 5).
This brings your answer to
(4x - 3)(4x + 5)
Let the amount invested at 4% be = x
Let the amount invested at 3% be = y
Given is:
or
.... (1)
As, total income for the two investments is $194, so equation is:
....(2)
Putting value of x from (1) in (2)




And x=5200-y

Hence, money invested at 4% is $3800 and money invested at 3% is $1400
Answer:
2 Beetle juices and 3 Potion Punch
Step-by-step explanation:
j = Beetle Juice cost $2.50
p = Potion Punch Cost $3
j + p = 5 <em>Multiply by -3</em> -3j - 3p = -15
$2.50j + $3p = $14 <em>Do not change </em>+ <em> </em><u><em> </em></u><u>2.50j -3p = 14 </u>
- .50j = -1
j = 2 Beetle Juice
Substitute into the fist equation and solve for y j + p = 5
2 + p = 5
p = 3 Potion Punch
Answer:
19/20 of a mile.
Step-by-step explanation:

The common denominator is 20 so we times the first one by 2 the second one by 5 and the last one by 4. (Both numerator and denominator.)
You will end up with this 