Answer: Hence Pair( x, y) = [ 105/2, 105/2]
Step-by-step explanation:
Given that;
Among all pairs of numbers with a sum of 105;
the pair whose product is maximum = ?
so let pairs of numbers with a sum of 105 be x and y respectively
x + y = 105
let y = 105 - x
now
product = xy = x( 105 - x ) = 105x - x²
now
p(x) = 105x - x²
for maximum value of p
dp/dx =0
⇒ dp/dx = 105 - 2x = 0
2x = 105
x = 105/2
y + x = 105
y = 105 - x
y = 105 - 105/2 = 105/2
Hence Pair( x, y) = [ 105/2, 105/2]
Answer:
Step-by-step explanation:
<u>We know that:</u>
<u>Solution:</u>
- 34 + 4q = 90°
- => 4q = 90 - 34
- => 4q = 56
- => q = 56/4
- => q = 14
Hence, the value of q is 14.
We start out with x/3+6=-6. Subtract 6 from both sides, and you get x/3=-12. Multiply the equation by three and you get x=-36. x=-36 should be your final answer.
Job A pays better
there are roughly 52 weeks in a year so multiply that by 40 to get the total hours worked in a year. = 2,080
2,080 hours worked per year multiplied by the hourly pay 9.95 = 20,696
Job A pays $20,696 per year
Job B only pays $17,500
Answer:
91
Step-by-step explanation:
12∣∣−x+3∣∣−5
Let x = 11
12∣∣−11+3∣∣−5
Do the absolute value first
12∣∣-8∣∣−5
Taking the absolute value, which means making it positive
12* 8 -5
Multiply and divide
96 -5
91
