Answer:
-480
Step-by-step explanation:
If f varies directly as g, and inversely as h, then we can write the variation equation:
, where k is the constant of variation.
If g=56 when h=-2 and f=-7, then we substitute these values into the formula to find the value of k.
![-7=\frac{k(56)}{-2}](https://tex.z-dn.net/?f=-7%3D%5Cfrac%7Bk%2856%29%7D%7B-2%7D)
![-7\times -2=56k](https://tex.z-dn.net/?f=-7%5Ctimes%20-2%3D56k)
![k=\frac{14}{56}=\frac{1}{4}](https://tex.z-dn.net/?f=k%3D%5Cfrac%7B14%7D%7B56%7D%3D%5Cfrac%7B1%7D%7B4%7D)
The equation now becomes:
![f=\frac{g}{4h}](https://tex.z-dn.net/?f=f%3D%5Cfrac%7Bg%7D%7B4h%7D)
if f=10 and h=-12, then;
![10=\frac{g}{-48}](https://tex.z-dn.net/?f=10%3D%5Cfrac%7Bg%7D%7B-48%7D)
![g=-48\times 10=-480](https://tex.z-dn.net/?f=g%3D-48%5Ctimes%2010%3D-480)
The correct answer is B.
Answer:
$28.35
Step-by-step explanation:
The headphones are $80.99 and are 35% off. To find the amount he will save, change the 35% to a decimal by moving it two times to the left, which is 0.35. Multiply 80.99 and 0.35 to get 28.3465. Round to get $28.35.
Covers the 'point-slope' form of linear equations, including how to find a line ... For this one, they give you a point (x1, y1) and a slope m, and have you plug it into this ... You can use the Mat way widget below to practice finding a line equation .... Find the equation of the line that passes through the points (–2, 4) and (1, 2)