The origin (0,0) is not in the shaded region and the shaded region is above the line because of the (>) greater then sign
Answer:
x = 5 and y= 15
Step-by-step explanation:
3x + 2y = 45
4x - y = 5 (multiple both sides by 2)
or
3x + 2y = 45
8x - 2y = 10
--------------------( add side with side)
11x + 0 = 55
or x= 55/11 = 5
replace x =5 into 4x - y = 5 we have 4*5 - y = 5
20 - y = 5 or y = 20- 5= 15
So x = 5 and y= 15
Have a good day
Answer:
Step-by-step explanation:
To get maximum product we need to optimize how we break down the numbers
Its obvious we don't want number 1 to be used as it won't change the product
Also we don't want to use big numbers, we can have four 5's instead of two 10's as it would give greater product, 5*5 > 10
<u>What is best number?</u>
- 2 and 3 are the smallest, 4 can be written as two 2's
- 5 = 2+ 3 and 2*3 = 6, so it is better to use 2's and 3's instead of 5
- 6 = 2+2+2, 2^3 = 8 and 6 = 3+ 3, 3^2 = 9, so it is better to use two 3's for 6
- 7 = 2+2+3, 2*2*3= 12, again 2's and 3's make greater product
<u>So the best is to break the number down to 2's and 3's</u>
- 23 = 2*10 + 3 ⇒ 2^10*3 = 3072
- 23 = 3*7 + 2 ⇒ 3^7*2 = 4374
As we see the maximum product we can get is 4374 with seven 3's and one 2.
<u>Hence the numbers are:</u>
Answer:
The problem does not work.
Step-by-step explanation:
The plane with speed of 31 mph will cover 640 miles in 
hours.
Now, it burns 5 gallons of gas every 3 minutes i.e. 0.05 hours.
So, it will burn in 20.64 hours 
gallons.
Now, the helicopter with speed of 45 mph will cover 640 miles in 
hours.
Now, it burns 7 gallons of gas every 5 minutes i.e. 0.083 hours.
So, it will burn in 14.22 hours 
gallons.
But both of them starts with only 80 gallons of fuel.
Therefore, the problem does not work. (Answer)
I believe that it’s 7^16
7^14*1 * 7^2
x ^ a+b
7^16
