Answer:
Answer C is correct.
Step-by-step explanation:
f(x) clearly has a maximum: y = +10 at x = 0.
Analyzing g(x) = -(x + 1)^2 - 10, we see that the vertex is at (-1, -10), and that the graph opens down. Thus, -10 is the maximum value; it occurs at x = -1.
Answer A is false. Both functions have max values.
Answer B is false. One max is y = 10 and the other is y = -10.
Answer C is correct. The max value of f(x), which is 10, is greater than the max value of g(x), which is -10.
Answer D is false. See Answer B, above.
The mode because it is the number that occurs more often but in this situation it would be most requested song.
The equation represents a line that passes through(4, 1/3) and has a slope of 3/4 option A; y - 1/3 = 3/4 ( x - 4).
<h3>What is the Point-slope form?</h3>
The equation of the straight line has its slope and given point.
If we have a non-vertical line that passes through any point(x1, y1) has gradient m. then general point (x, y) must satisfy the equation
y-y₁ = m(x-x₁)
Which is the required equation of a line in a point-slope form.
we know that
The equation of the line into point-slope form is equal to
y-y₁ = m(x-x₁)
we have
(x₁, y₁) = (4, 1/3)
m = 3/4
substitute the given values
y-y₁ = m(x-x₁)
y - 1/3 = 3/4 ( x - 4)
therefore,
y minus StartFraction one-third EndFraction equals StartFraction 3 Over 4 EndFraction left-parenthesis x minus 4 right-parenthesis.(x – 4)
Thus, option A is correct.
Learn more about slope;
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Answer:
1/12
Step-by-step explanation:
The probability of rolling a 4 is 1/6.
The probability of flipping heads is 1/2.
The probability of both is 1/6 × 1/2 = 1/12
