Answer:
(y + 7i)(y - 7i)
Step-by-step explanation:
It cannot be factored using real numbers, but consider
7i × - 7i
= -49i² and i² = - 1
= 49
The factoring as a difference of squares to obtain
y² + 49 = (y + 7i)(y - 7i)
Answer:
This a circle centered at the point 
, and of radius "3" as it is shown in the attached image.
Step-by-step explanation:
Recall that the standard formula for a circle of radius "R", and centered at the point 
is given by:
Therefore, in our case, by looking at the standard equation they give us, we extract the following info:
1) 
since the radius must be a positive number and (
) is not a viable answer.
2) 
for ( 
) to equal 
3) 
for ( 
) to equal 
Therefore, we are in the presence of a circle centered at the point , and of radius "3". That is what we draw as seen in the attached image.
So he's mixing:
1 gallon 2 quarts 3 pints of orange juice
1 gallon 3 quarts 7 pints of pineapple juice and
1 gallon 3
<span>
quarts 3 pints of ginger ale
that's:
3 gallons 8 quarts and 13 pints.
2 pints make a quart, so 13 pints make 6 quarts and 1 pint, so actually it's:
</span><span>3 gallons 8+6=14 quarts and 1 pint.
4 quarts are a gallon, and 14 quarts are 3 gallons 2 quarts, so the final answer is:
</span>
<span>3+3=6 gallons 2 quarts and 1 pint. </span>
Answer:
Increase of 8
Step-by-step explanation:
x = y-8
y=x+8
Answer:
- D. l = 3 || 4 < c < y || 8l + 7.5c ≥ 70
Step-by-step explanation:
<h3>Work at library</h3>
- Time = 3 hours ⇒ l = 3
- Payment = $8 per hour
- Total payment = 8l
<h3>Work at coffee shop</h3>
- Time = between 4 and 7 hours ⇒ 4 < c < 7
- Payment = $7.5 per hour
- Total payment = 7.5c
Target income = at least $70 daily
<u>So the system as per above parameters:</u>
- l = 3
- 4 < c < y
- 8l + 7.5c ≥ 70
Correct option is D
