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Lina20 [59]
3 years ago
12

50 points. Please help me write a rational function that fits this graph

Mathematics
1 answer:
garik1379 [7]3 years ago
7 0

Answer:

Ok

Step-by-step explanation:

I will help you or maybe.

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Find f(-1)<br><br> please help, not good at math.
bagirrra123 [75]
This means that X in the equation equals -1
7 0
3 years ago
PLEASE ANSWER QUICKLY!!The diameter, D, of a sphere is 10.4 mm. Calculate the sphere's volume, V.
Svetlanka [38]

Answer:

About 588.7 mm^3

Step-by-step explanation:

The formula for the volume of a sphere is (4/3)*pi (or in this case 3.14)*r^3, where r is the radius.

We need the radius. We are given the diameter, 10.4.

The radius is half the diameter, so 10.4/2=5.2.

Use r=5.2 and put it into the formula:

(4/3)*3.14*5.2^3≈588.7

5 0
3 years ago
Read 2 more answers
There is a lightning rod on top of a building. From a location 500 feet from the base of the building, the angle of elevation to
Kitty [74]
<h2>Hello!</h2>

The answer is:

The height of the  lightning rod is 27.4 feet.

<h2>Why?</h2>

To solve the problem, we need to use the given information about the two points of observation, since both are related (both finish and start at the same horizontal distance) we need to write to equations in order to establish a relationship.

So, writing the equations we have:

We know that the angle of elevation from the base of the buildings is 36°

Also, we know that from the same location, the angle of elevation to the top of the lightning rod is 38°.

Using the information we have:

To the top of the building:

tan(\alpha )=\frac{DistanceToTheTopOfTheBuilding}{BuildingBase}\\\\tan(36\°)=\frac{DistanceToTheTopOfTheBuilding}{BuildingBase}

To the top of the lightning rod:

tan(\alpha )=\frac{DistanceToTheTopOfTheLightningRod}{BuildingBase}\\\\tan(38\°)=\frac{DistanceToTheTopOfTheLightningRod}{BuildingBase}

Now, isolating we have:

tan(36\°)=\frac{DistanceToTheTopOfTheBuilding}{BuildingBase}\\\\DistanceToTheTopOfTheBuilding=tan(36\°)*BuildingBase \\\\DistanceToTheTopOfTheBuilding=tan(36\°)*500feet=363.27feet

Also, we have that:

tan(38\°)=\frac{DistanceToTheTopOfTheLightningRod}{BuildingBase}\\\\DistanceToTheTopOfTheLightningRod=tan(38\°)*BuildingBase\\\\DistanceToTheTopOfTheLightningRod=tan(38\°)*500feet=390.64feet

Therefore, if we want to calculate the height of the lightning rod, we need to do the following:

Let "x" the distance to the top of the building and "y" the distance to the top of the lightning rod, so:

LightningRodHeight=y-x=390.64feet-363.27feet=27.37feet

Rounding to the nearest foot, we have:

LightningRodHeight=y-x=390.64feet-363.27feet=27.37feet=27.4feet

Hence, the answer is:

The height of the lightning rod is 27.4 feet.

Have a nice day!

5 0
3 years ago
How will the solution of the system y &gt; 2x + and y &lt; 2x + change if the inequality sign on both inequalities is reversed t
Gala2k [10]

Answer:

The System of inequality is ,

1. y > 2 x + p

2. y < 2 x + p

Suppose we assign some values to p and q and draw its graph

And, then the inequality sign on both inequalities is reversed

3. y < 2 x + p

4. y > 2 x + p

And , then draw it's graph

it has been found that, the solution set of both the inequality remains same.That is there is no point or set of points , which satisfy both the system of inequality.

The system has no solution.

5 0
3 years ago
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Simplify the expressions. show your work. 3x(4x4 – 5x)
hammer [34]
3x(4x4 – 5x)
= 12x^5-15x^2
3 0
3 years ago
Read 2 more answers
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