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3 years ago

HELP PLEASE. Both questions.

Mathematics

1 answer:

egoroff_w [7]3 years ago

5 0

The slope definitions:

The slope is the change in y divided by the change in x.

The slope is the ratio of rise to run.

The slope is the rate of change of the function at a certain point.

The slope is the first derivative of a function.

The slope is the tangent of the slant/inclined angle

So we are interested in this one: "The slope is the ratio of rise to run"

Logically, the gas in the tank decreases as the distance traveled increases.

So they are inversely proportional.

Let's look at the scale of the axis now///

After examine, as we travel 20 miles, our gas in the tank decrease by 3 gallons...i.e. 3 gallons have been consumed to move this distance

I hope that helps!

I am with you if you faced any difficulties!

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Which equation represents a linear function?

Anna007 [38]

Answer:

$y-2=-5(x - 2)$

Step-by-step explanation:

Given:

The equations given are:

$y-2=-5(x - 2)\\X+ 7 = -4(X + 8)\\y - 3 = y(x + 4)\\y + 9 = x(x - 1)$

Now, a linear function is of the form:

$y=mx+b$

Where, 'm' and 'b' are real numbers and $m\ne0$

Equation 1: $y-2=-5(x - 2)$

Simplifying using distributive property, we get:

$y-2=-5x+10\\y=-5x+10+2\\y=-5x+12$

The above equation is of the form $y=mx+b$ . So, it represents a linear function.

Equation 2: $X+ 7 = -4(X + 8)$

Here, both sides of the equation has same variable 'X'. So, it will form an equation of 1 variable. So, it's not a linear function.

Equation 3: $y - 3 = y(x + 4)$

Simplifying the above equation. This gives,

$y-3=yx+4y\\y-4y-yx=3\\y(1-4-x)=3\\y(-3-x)=3\\y=\frac{3}{(-3-x)}$

This is not of the form of the linear function. So, it is also not a linear function.

Equation 4: $y + 9 = x(x - 1)$

Simplifying the above equation. This gives,

$y+9=x^2-x\\y=x^2-x-9$

This is not of the form of the linear function. So, it is also not a linear function.

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3 years ago

A middle school took all of its 6th grade students on a field trip to see a play at a theater that has 2780 seats. The students

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Answer:

1242 6th graders went on the trip.

Step-by-step explanation:

From the information given, you know that the theater has 2760 seats and that the students filled 45% of the seats, so to find the quantity of 6th graders that went on the trip, you have to calculate 45% of 2760:

2760*45%=1242

According to this, the answer is that 1242 6th graders went on the trip.

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2 years ago

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