Answer:
The correct option is;
Substitute x = 0 in the function and solve for f(x)
Step-by-step explanation:
The zeros of a function are the values of x which produces the value of 0 when substituted in the function
It is the point where the curve or line of the function crosses the x-axis
A. Substituting x = 0 will only give the point where the curve or line of the function crosses the y-axis,
Therefore, substituting x = 0 in the function can't be used to find the zero's of a function
B. Plotting a graph of the table of values of the function will indicate the zeros of the function or the point where the function crosses the x-axis
C. The zero product property when applied to the factors of the function equated to zero can be used to find the zeros of a function
d, The quadratic formula can be used to find the zeros of a function when the function is written in the form a·x² + b·x + c = 0
to translate a graph up you need to add the amount you want to move it to the end of the equation, not to the variable.
The answer would be y = sin x + π
Regarding conditional probabilities, the keyword is always given, as a previous event is considered to have happened.
<h3>What is Conditional Probability?</h3>
Conditional probability is the probability of one event happening, considering a previous event. The formula is:
In which:
- P(B|A) is the probability of event B happening, given that A happened.
- is the probability of both A and B happening.
- P(A) is the probability of A happening.
The previous event having happened is represented by keyword given.
More can be learned about conditional probability at brainly.com/question/14398287
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The equivalent expression for the given expression is 28p + 14q + 21r.
<h3>What is an equivalent expression?</h3>
An expression that gives the same value as the original expression when the same value of a variable is substituted is said to be an equivalent expression.
An equivalent expression is simplified to the original expression by using the distributive property.
<h3>What is distributive property?</h3>
The distributive property is
a(b + c) = ab + ac
<h3>Calculation:</h3>
The given expression is 7(4p + 2q + 3r)
Applying the distributive property,
7(4p + 2q + 3r) = 7(4p) + 7(2q) + 7(3r)
⇒ 28p + 14q + 21r
Thus, the equivalent expression for the given expression is 28p + 14q + 21r.
Learn more about an equivalent expression here:
brainly.com/question/11352551
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Answer:
(x, y) → (x+8, y-3)
Step-by-step explanation:
You are moving the x coordinates 8 steps to the right, which is in the positive direction. This makes the change +8. This is where the x+8 comes from.
For the y coordinates, you are moving 3 down, which is in the negative direction which means it is y-3.
(You can pick one point, D, and track its movements. We can see that point D had to move 8 units to the right and 3 units down to become D'.)