Answer:
Building linear equations for f and g, it is found that the y-intercept of (f - g)(x) is of y = 8.------------A linear function has the following format:[tex]y ...
Step-by-step explanation:Use the two points to compute the slope, m, then use one of the points in the form y=m(x)+b to find the value of b.
Answer:
The price for 3.75 pounds of cherries is $17.775.
Step-by-step explanation:
The price las week was $ 4.99 and it got a discount of 15% for this week, this means that the price for this week is 100% of the one prior minus 15%, therefore it is 85% of the last price. We need to calculate the price per pound with this discount as shown below:

Since the price is $4.74 per pound and we want to buy 3.75 pounds, then the total amount we need to pay is:

The price for 3.75 pounds of cherries is $17.775.
Answer:
Both of these triangles are congruent.
Step-by-step explanation:
All 3 angle measures of both of the triangles are equivalent and correlate to each other. This makes the triangles congruent.
Answer: The percentage of legal quarters will be rejected by the vending machine = 2.275%
Step-by-step explanation:
Given: The weights of legal U.S. quarters have a normal distribution with a mean of 5.67 grams and a standard deviation of 0.07 gram.
Let x be the weights of legal U.S. quarters .
Required probability: 
![=P(\dfrac{x-\mu}{\sigma}\dfrac{5.81-5.67}{0.07})\\\\=P(z2)\approx0.02275 \ \ \ [By\ P-value\ calculator]](https://tex.z-dn.net/?f=%3DP%28%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%3C%5Cdfrac%7B5.33-5.67%7D%7B0.07%7D%29%2BP%28%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%3E%5Cdfrac%7B5.81-5.67%7D%7B0.07%7D%29%5C%5C%5C%5C%3DP%28z%3C-4.857%29%2BP%28z%3E2%29%5Capprox0.02275%20%20%20%20%5C%20%5C%20%5C%20%5BBy%5C%20%20P-value%5C%20calculator%5D)
The percentage of legal quarters will be rejected by the vending machine = 2.275%