Answer:
b
Step-by-step explanation:
Justin's score has to be greater than 80. the appropriate inequality sign is >
Note that
> means greater than
< means less than
≥ means greater than or equal to
≤ less than or equal to
On the number line, since the score has to be greater than 80, the line would start from 80 and end on 95
> or < is represented by unfilled circle
≤ or ≥ is represented by filled circle
(10x4x5)+(5x5x5) because you could make 2 shapes out of it. one being a cude that is 5x5x5 and the other being a rectangle that is 4x10x5 thenyou would just add them together. :) hope that helps
We need to convert this equation to slope-intercept form first.
We can do that by solving for y.
x - 5y = 15
<em><u>Add 5y to both sides.</u></em>
x = 5y + 15
<em><u>Subtract 15 from both sides.</u></em>
x - 15 = 5y
<em><u>Divide both sides by 5.</u></em>
y = 1/5x - 3
We now know the slope is 1/5.
The slope of the line perpendicular to the line with a slope of 1/5 is -5.
The slope of a perpendicular line is the negative reciprocal of the original slope.
Using a graphing calculator, we know the y-intercept of the line that is perpendicular to the original line must have a y-intercept of -6 to run through the points (-2, 5).
The equation of the new line is y = -5x - 6.
Answer:
Option D
Step-by-step explanation:
Given is a table which gives the order pair of x and y for a function f(x)
We have to find the local minimum of the function f(x)
We have from the table the values of different f(x)
Of all we find the least value is -15 and for this x value is -2 or +2
Hence f(x) has minimum at two points
(-2,-15) and (2,-15)
Out of 4 options given we find that (2,-15) appears in IV option
Hence option D is right answer
The true statement about the function f(x) = -x² - 4x + 5 is that:
- The range of the function is all real numbers less than or equal to 9.
<h3 /><h3>What is the domain and range for the function of y = f(x)?</h3>
The domain of a function is the set of given values of input for which the function is valid and true.
The range is the dependent variable of a given set of values for which the function is defined.
- The domain of the function: f(x) = -x² - 4x + 5 are all real number from -∞ to +∞
For a parabola ax² + bx + c with the vertex 
- If a < 0, then the range is f(x) ≤
- If a > 0, then the range f(x) ≥
The vertex for an up-down facing parabola for a function y = ax² + bx + c is:
Thus,
- vertex = (-2, 9)
Range: f(x) ≤ 9
Therefore, we can conclude that the range of the function is all real numbers less than or equal to 9.
Learn more about the domain and range of a function here:
brainly.com/question/26098895
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