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Anna71 [15]
3 years ago
14

What is the slope of the line through the points (–2, –1) and (8, –3)?

Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
7 0

Answer:

Step-by-step explanation:

Find the slope, denoted m

This is done by using the formula m = (y2 - y1)/(x2 - x1)

The slope for this problem is

m = [-3 - (-1)]/[8 - (-2)]  

m = -2/10 = -1/5

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What is j(4) if j(m)=2^m-1
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Identify the angle or side that is common to triangle NPM and triangle OPM.
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How many times does the graph of the function below interect or touch the x-axis? y=-2x^2+3x+5
Andrei [34K]

Answer:

Two times at (-1,0) and (2.5,0)

Step-by-step explanation:

When the graph intersects or touches x-axis, y is equal to 0

so y = -2x^2 + 3x + 5

=> 0 = -2x^2 + 3x + 5

The formula to solve a quadratic equation of the form ax^2 + bx + c = 0 is equal to x = [-b +/-√(b^2 - 4ac)]/2a

so a = -2

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substitute in the formula

x = [-3 +/- √(3^2 - 4x-2x5)]/2(-2)

x = [-3 +/- √(9 + 40)]/(-4)

x = [-3 +/- 7]/(-4)

x1 = (-3 + 7)/(-4) = 4/-4 = -1

x2 = (-3 - 7)/(-4) = -10/-4 = 5/2 = 2.5

so the graph has two x-intercepts (-1,0) and (2.5,0), therefore it intersects x-axis two times

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The doctor order 100mg of Rocephin. Available is 1g/1mL. How many mL is to be administered?
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Answer:

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Step-by-step explanation:

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