Answer:
C. 6
Step-by-step explanation:
Recall that inverse variation is given by:
Where <em>k</em> is the constant of variation.
We know that <em>y</em> = 48 when <em>x</em> = 3. Substitute:
Solve for <em>k: </em>
<em />
<em />
<em />
Hence, our equation is:
We want to find <em>x</em> when <em>y</em> = 24. Substitute:
Cross-multiply:
Divide both sides by 24. Hence:
Our answer is C.
Answer:
see below
Step-by-step explanation:
translated 3 units down whic means -3 on the y
hence T1 (2,0), T2 (-4,-8), T3 (-2, 1)
<h2>
Answer:</h2>
Our functions are:
To solve this, we must use the expression g(-10) - f(3).
![-\frac{3}{2}(-10) + 12 - [-5(3)] + 12\\\\15 + 12 - [-5(3)] + 12\\\\15 + 12 - (-15) + 12\\\\27 - (-15) + 12\\\\42 + 12\\\\54](https://tex.z-dn.net/?f=-%5Cfrac%7B3%7D%7B2%7D%28-10%29%20%2B%2012%20-%20%5B-5%283%29%5D%20%2B%2012%5C%5C%5C%5C15%20%2B%2012%20-%20%5B-5%283%29%5D%20%2B%2012%5C%5C%5C%5C15%20%2B%2012%20-%20%28-15%29%20%2B%2012%5C%5C%5C%5C27%20-%20%28-15%29%20%2B%2012%5C%5C%5C%5C42%20%2B%2012%5C%5C%5C%5C54)
The value of the expression g(-10) - f(3) is <em>15</em>.
Answer:
x=2, y=3.
Step-by-step explanation:
0.2x + 0.3y = 1.3
0.4x + 0.5y = 2.3
From the first equation y = (1.3 - 0.2x) / 0.3
Substituting in second equation:
0.4x + 0.5(1.3 - 0.2x) / 0.3 = 2.3
Multiply through by 0.3:
0.12x + 0.5(1.3 - 0.2x) = 0.69
0.12x + 0.65 - 0.1x = 0.69
0.02x = 0.04
x = 2.
Substituting for x in equation 1:
0.2* 2 + 0.3y = 1.3
0.4 + 0.3y = 1.3
0.3y = 1.3 - 0.4 = 0.9
y = 3.
Check in equation 2:
0.4 * 2 + 0.5(3) = 0.8 + 1.5 = 2.3.
- Correct.
Answer:
$82.65
Step-by-step explanation:
First, find the cost with the discount:
78.72(0.85)
= 66.91
Then, find the amount of the tip:
78.72(0.2)
= 15.74
Then, add together the cost and tip:
66.91 + 15.74
= 82.65
So, the total cost of the meal was $82.65
