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2 years ago

If a quadratic polynomial has an absolute minimum at (-3,-5), what is the range of the polynomial?

Mathematics

1 answer:

irga5000 [103]2 years ago

3 0

Answer:

range: (-5, ∞)

domain: (-∞, ∞)

Step-by-step explanation:

given vertex, absolute minimum: (-3, -5)

Range look at y-value

(minimum, maximum) the -5 will be on the left of the comma b/c its the min

If this was a max, you would put the y-value on the right side of the comma

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2 years ago

What is the equation of a line that is parallel to y=47x−3 and passes through (14, 4)?

Shtirlitz [24]

Answer:

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where

m = slope

c = intercept

The equation of the given line is

y = 47x - 3

Comparing with the slope intercept equation, m = 47

If two lines are parallel, it means that they have equal slope. This means that the slope of the line passing through (14, 4) is 47

We would determine the intercept, c by substituting m= 47, x = 14 and y = 4 into y = mx + c. It becomes

4 = 47× 14 + c

4 = 658 + c

c = 4 - 658 = - 654

The equation becomes

y = 47x - 654

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3 years ago