Let's factor the top and the bottom.
Top factors 4x + 20 = 4(x + 5)
Bottom x^2 + 2x - 15 = (x + 5)(x - 3)
The gcf is the largest value that will go into both the top and the bottom. In our problem the ONLY thing that will go into top and bottom is x + 5 so that is your GCF. (c)
Answer
There are 170 ways the student can answer the test.
Explanation
If there are 20 multiple-choice questions with 5 choices each, the student has 100 choices. The first question has 5 choices to pick from. The second has 5 as well. So does the third. Hopefully now you realize that you have to multiply the number of choices by the number of questions.
The same thing goes with the true/false questions. There are 2 choices for each true/false question, and there are 35 of those. 35×2 is 70. There are 70 ways to answer on the true/false questions.
Now combine the number of choices on the first part and the second part; 100+70 is 170.
The numeric values for the given functions are as follows:
<h3>How to find the numeric value of a function or of an expression at a given point?</h3>
To find the numeric value of a function at x = a, we replace each instance of the variable, usually x, in the function by the desired value of a.
Function f(x) is defined by:
f(x) = x².
For the numeric value at x = 1/3, we replace the lone instance of x by 1/3, hence:
f(1/3) = (1/3)² = 1/9.
Function g(x) is defined by:
g(x) = 2x.
For the numeric value at x = 4, we replace the lone instance of x by 4, hence:
g(4) = 2(4) = 8.
For the numeric value at x = -3, we replace the lone instance of x by -3, hence:
g(-3) = 2(-3) = -6.
More can be learned about the numeric values of a function at brainly.com/question/28367050
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Answer:
Each stuydent must raise $15.61 to reach their goal.
Step-by-step explanation:
Their goal is 483.62, but they already have 218.25 so we subtract,
483.62 - 218.25 = 265.37
Since there are 17 students and they raise the same amount we need to divide by the amount of students to find out how much money each of them need to raise to add up to their goal.
265.37/17 = $15.61
