X-intercepts
f(x) = 0
4x² - 15x - 4 = 0
4x² - 16x + x - 4 = 0
4x(x - 4) + 1(x - 4) = 0
(x - 4)(4x + 1) = 0 ⇔ x - 4 = 0 or 4x + 1 = 0
x = 4 or 4x = - 1 ⇒ x = - 1/4
Answer: -1/4 and 4.
Answer:
yes
Step-by-step explanation:
Answer:
86 is the score that Maurice must get to average his score to 80
Answer:
The probability that the student answers at least seventeen questions correctly is
.
Step-by-step explanation:
Let the random variable <em>X</em> represent the number of correctly answered questions.
It is provided all the questions have five options with only one correct option.
Then the probability of selecting the correct option is,

There are <em>n</em> = 20 question in the exam.
It is also provided that a student taking the examination answers each of the questions with an independent random guess.
Then the random variable can be modeled by the Binomial distribution with parameters <em>n</em> = 20 and <em>p</em> = 0.20.
The probability mass function of <em>X</em> is:

Compute the probability that the student answers at least seventeen questions correctly as follows:


Thus, the probability that the student answers at least seventeen questions correctly is
.
The value of f(19) in the given equation is 55.
<h3>What is the function of a linear equation?</h3>
The function of a linear equation illustrates a straight line graph and for a given set of input into the function, there is usually a specific output.
Given that:
We are to find the f(x) = 19.
So;
f(19) = 3(19) - 2
f(19) = 57 - 2
f(19) = 55
Learn more about the function of a linear equation here:
brainly.com/question/14323743
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