The required temperature at 5:00 am is -12° F.
Given,
The temperature at 5:00 p.m. was -4° F. By 5:00 a.m. the temperature had decreased by 8° F what was the temperature at 5:00 a.m is to be determined and shown it with a vertical number line.
<h3>What is a number line?</h3>
A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.
The temperature at 5:00 p.m. was -4° F.
By 5:00 a.m. the temperature had decreased by 8° F.
The temperature at 5:00 a.m. = - 4 - 8
= -12° F
Thus, the required temperature at 5:00 am is -12° F.
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Hello!
The discriminant of a quadratic function is found by using this formula:
D = b² - 4ac
Once you substitute the values into the formula, there are three ways your answer can be interpreted.
1. If the discriminant is positive, then there are two rational solutions.
2. If the discriminant is negative, then there are no rational solutions.
3. If the discriminant is equal to zero, then there is only one rational solution.
Given the equation, 2x² + 14x + 11 = 0, a = 2, b = 14, and c = 11.
14² - 4(2)(11)
196 - 88 = 108
Since the discriminant, 108, is a positive integer, the answer is C, there are two rational solutions.
Hi there!
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I believe your answer is:
A) The slope is -2.
D) From left to right, the line is decreasing or moving in a negative direction.
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Here’s why:
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- The equation given is in 'Slope-Intercept Form', where the equation gives the slope and y-intercept of a linear line. This would eliminate option B, since it is not quadradic.
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- In the equation , the slope is '-2' (-2 takes m's place) and the y-intercept is (0,2). (2 takes b's place.)
- This would mark option A as a correct answer and eliminate option C.
- Line with negative slopes would go down if you were looking at the graph from left to right. Since the sign of the slope is negative, this would make option D a correct answer as well.
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<em>Options A and D should be correct. </em>
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Hope this helps you. I apologize if it’s incorrect.
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This is a pair of supplementary angles. A supplementary angle means that all angles involved add up to 180 degrees. We know that it is 180 degrees because of the flat line.