Answer:
18. g= -3
19. x= -1
20. n= 3
21. p= -1
22. d= -3
23. a= 5
Step-by-step explanation:
how to solve the variable (using 18 as an example)
step 1: simplify both sides of the equation.
20+g+g=14
(g+g)+(20)=14(combine like terms)
2g+20=14
2g+20=14
step 2: subtract 20 from both sides.
2g+20−20=14−20
2g=−6
step 3: divide both sides by 2.
2g/2 = -6/2
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:
B
Step-by-step explanation:
they are two 90° .so B is correct I think
Answer:
<u>Area = 36.1 sq. units</u>
Step-by-step explanation:
We will use the "included angle area" formula for a triangle to solve this problem.
The formula is:
Where
a and b are the two sides given
C is the angle given BETWEEN the two sides
From the problem, we can write:
the two sides are 6 & 17, so that will be "a" and "b" of the formula
the included angle is 135, so that will be "C" of the formula
Substituting, we find the answer:
Rounded to 1 decimal place,
<u>Area = 36.1 sq. units</u>
