Answer:
f(X) 70x49
Step-by-step explanation:
Answer:
For the yes/no bit:
step 1: no
step 2: no
step 3: yes
step 4: yes
step 5: no
for the final answer bit: a = 2 3/5 (the last option)
Step-by-step explanation:
yes/no bit:
step 1 is wrong because she didn't multiply
by -2
step 2 is wrong because she subtracted 1/2 instead of adding it
step 3 is correct because 6 - 1/2 = 11/2
step 4 is correct because she correctly multiplied both sides by 4
step 5 is wrong because she added 5 instead of dividing by -5.
for the final answer bit, I've attached an image below with my working out. hope this helps!
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
16 1/2
1/4 of milk is required to make a cupcake. 4x4 would equal 16. the 1/8 is half od whats required to make a cupcake. So you can make 16 1/2 cupcakes.