By how much does the dependent variable change in response to a change of 1 unit of the independent variable?

Mathematics

2 answers:

Tcecarenko [31]3 years ago

7 0

Answer:

c) 5

Step-by-step explanation:

dalvyx [7]3 years ago

6 0

Answer: C) 5

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x = independent variable, y = dependent variable

Assuming this is a linear function, each increase of x by 2 leads to y going up by 10. So 10/2 = 5 is the unit increase each time x bumps up by 1.

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An alternative is to use the slope formula to get

m = (y2 - y1)/(x2 - x1)

m = (25 - 15)/(4 - 2)

m = 10/2 <--- this expression shows up again

m = 5 <---- leading to the same answer as before

So we see that the slope formula is a more drawn out method to finding the answer.

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Which points are separated by a distance of 5

wlad13 [49]

Answer:

Explanation

6-1=5

3-3=0

0+5=5

6 0

3 years ago

**PLEASE HELP ASAP** Terri is analyzing a circle, y^2 + x^2 = 36, and a linear function g(x). Will they intersect?

Alborosie

We analyze the linear function to find that it has equation $y=x$ . Drawing the line, we find that it will intersect the circle at negative and positive x-coordinates.

We can prove this by substituting $y=x$ into the given equation:

$x^2+x^2=36$

$2x^2=36$

$x^2 = 18$

$x = \pm 3\sqrt{2}$

Hence, $x = 3\sqrt{2}$ or $-\sqrt{2}$ , so there are both positive and negative values for $x$ .

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3 years ago

A diver is a horizontal distance of 50 feet from a boat and 120 feet beneath the surface of the water. What distance will the di

amid [387]

Answer:

The answer is 130 feet

Step-by-step explanation:

Using Pythagoras' Theorem:

120² + 50² = diagonal²

diagonal² = 16900ft

diagonal = √16900

= 130ft