Answer:
The equation that matches the table is y = -5x + 7 ⇒ C
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
- m is the slope of the line
- b is the y-intercept (value y at x = 0)
The rule of the slope is m =
, where
- (x1, y1) and (x2, y2) are two points on the line
From the given table
→ Choose any two points from the table
∵ Points (0, 7) and (1, 2) are in the table
∴ x1 = 0 and y1 = 7
∴ x2 = 1 and y2 = 2
→ Substitute them in the rule of the slope above
∵ m = ![\frac{2-7}{1-0}=\frac{-5}{1}](https://tex.z-dn.net/?f=%5Cfrac%7B2-7%7D%7B1-0%7D%3D%5Cfrac%7B-5%7D%7B1%7D)
∴ m = -5
→ Substitute it in the form of the equation above
∵ y = -5x + b
∵ b is the value of y at x = 0
∵ At x = 0, y = 7
∴ b = 7
∴ y = -5x + 7
∴ The equation that matches the table is y = -5x + 7
He buys a pack of 3 oranges for $2....2/3 = 0.67...thats 67 cents per orange
he sells a pack of 2 oranges for $3....3/2 = 1.50...thats 1.50 per orange
so if he buys it for 0.67 and sells it for 1.50....1.50 - 0.67 = 0.83....he makes a profit of 0.83 cents per orange
0.83x = 50
x = 50/0.83
x = 60.24....he would have to sell 61 <==
check...
0.83(61) = 50.63
and u see, if he sold 60....0.83(60) = 49.80...he wouldn't quite make the profit of 50.
Answer:
multiply by 1.81
Step-by-step explanation:
Answer:
The t-score is t = 2.457.
Step-by-step explanation:
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 31 - 1 = 30
98% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 30 degrees of freedom(y-axis) and a one-tailed confidence level of
. So we have T = 2.457.
The t-score is t = 2.457.
The formula for volume is V=l*w*h
So we can plug in what we have and solve for h
576=12*8*x
576=96x
x=6 inches
Hope this helps