Final result :
9y - 17z - 2
Step by step solution :
Step 1 :
1
Simplify —
3
Equation at the end of step 1 :
1
— • (27y - 51z - 6)
3
Step 2 :
Pulling out like terms :
3.1 Pull out like factors :
27y - 51z - 6 = 3 • (9y - 17z - 2)
Final result :
9y - 17z - 2
Answer:
6.7 I think
Step-by-step explanation:
hope this helps
Answer:
Step-by-step explanation:
Given :-
The sum of two numbers is 1 .
The product of the nos . is 12 .
And we need to find out the numbers. So let us take ,
First number be x
Second number be 1-x .
According to first condition :-
Hence the numbers are 4 and -3
Answer:
Price of widget to break even= $37.9
Step-by-step explanation:
We are told that the equation representing the amount of profit, y, made by the company, in relation to the selling price of each widget, x is;
y = -8x² + 348x - 1705
Now, the company will break even when it has made no profit. That is when, y = 0
Thus;
0 = -8x² + 348x - 1705
Rearranging,
8x² - 348x + 1705 = 0
Using quadratic formula ;
x = [-b ± √(b² - 4ac)]/2a
x = [-8 ± √(-348² - 4•1•1705)]/(2 x 8)
x = $5.63 or $37.87
We'll use $37.87 because it is the highest price for which no profit is made, and higher price means that we could sell least number of products to earn a certain amount of money.
We are told to approximate to nearest cent. Thus,
Price of widget = $37.87 ≈ $37.9
Answer:
3/4
Step-by-step explanation:
28 total but 12 are boys so girls = 28 - 12 = 16
Ratio of boys to girls
= 12/16
= 3/4
