A passenger car will go 455 miles on 17.5 gallons of gasoline in city driving what is the rate in miles per gallon ?

Mathematics

1 answer:

AnnyKZ [126]2 years ago

8 0

Answer:

26 gallons

Step-by-step explanation:

Take the miles and divide by the gallons

455 miles / 17.5 gallons

26 miles per gallon

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Differentiate. The answer is supposed to be -3/ sqrt 4-x^2

Margarita [4]

Answer:

Step-by-step explanation:

$g(x)=\cos^{-1} (\frac{x}{2})\\g'(x)= \frac{- 1}{\sqrt{1-(\frac{x}{2})^2}}*\frac{1}{2} \\=\frac{-1}{\sqrt{4-x^2} }$

6 0

3 years ago

I still need help with similar question

KatRina [158]

Step-by-step explanation:

Step 1: Determine the axis of symmetry

The axis of symmetry is middle of the parabola. In this equation we see that at x = -1 we have the vertex and also the middle of the parabola. So our axis of symmetry is x = -1.

Step 2: Determine the vertex

The vertex is the minimum or maximum of a parabola and is bent in a crest form. In this example the vertex is at (-1, -3) because we are using the tip of the graph.

Step 3: Determine the y-intercept

The y-intercept is where the graph intersects with the y-axis. In this example we intersect the y-axis at -4 so that means that our point would be (0, -4) meaning that we intersect x = 0 at -4.

Step 4: Determine if the vertex is a min or max

Looking at the graph we can see that the rest of the red line is beneath the vertex point which means that the vertex is a max.

Step 5: Determine the domain

The domain is the x-values that we are going to be using and we know that we are reaching toward positive and negative inifity which means that we are using all real numbers.

Step 6: Determine the range

The range is the y axis and what y values we are able to reach using the graph. In this example we can see that all y-values above -3 are not being used therefore the range is $y \leq -3$