Answer: A. 40
Step-by-step explanation:
Answer:
x = 2
x = -3/2 or -1.5
Step-by-step explanation:
For this, I would use the "slip and slide" method. LOL I know the name is cheesy, but that's what my teacher called it!
First, you "slip" the coefficent of the leading term (2) to the constant, and multiply.
The equation becomes:
x² - x - 6(2) = 0
x² - x - 12 = 0
Then, you factor this out by looking at the second and third terms. You're looking for 2 factors of -12 that would add up to -1 ( the coefficent of the second term).
Automatically, think of 3 and 4, because the difference between them is 1.
The factors must be (x-4) and (x+3) because they multiple to -12, and add up to -1.
This step is extremely important! Lol I used to forget it a lot, but make sure you divide the constant in each factor by the original number you "slipped".
It would become (x-(4/2))(x+3/2) = (x-2)(x+3/2)
With (x+3/2), you don't want to leave it as a fraction or decimal. It's equivalent to (2x+3). However, the informal form is easier to identify the value of x.
Add up all of the side lengths and you get 148.4 as the perimeter.
subtract that from 150 and you're left with 1.6 m left of tape
Answer:
x=2.125
y=0
C=19.125
Step-by-step explanation:
To solve this problem we can use a graphical method, we start first noticing the restrictions 
and 
, which restricts the solution to be in the positive quadrant. Then we plot the first restriction 
shown in purple, then we can plot the second one 
shown in the second plot in green.
The intersection of all three restrictions is plotted in white on the third plot. The intersection points are also marked.
So restrictions intersect on (0,0), (0,1.7) and (2.215,0). Replacing these coordinates on the objective function we get C=0, C=11.9, and C=19.125 respectively. So The function is maximized at (2.215,0) with C=19.125.
Answer:
12 cm
Step-by-step explanation:
multiply 10 by .2
10 × .2 = 2
add 2 to 10
2 + 10 = 12 cm
