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3 years ago

Need help with graphing

Mathematics

1 answer:

astraxan [27]3 years ago

3 0

Plot these points
vertex: (-4,-7)
x intercepts: (-5.5,0), (-2.5, 0)
and those two other points
the graph should look something like this:

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Bev earns $2 a week for taking out her neighbor’s trash cans. Complete the table of values. Then state the domain and range.

Eduardwww [97]

Domain : $\{1,2,3,4\}$

Range: $\{2,4,6,8\}$

Explanation:

It is given that Bev earns $2 a week.

Thus, for n number of weeks, we shall multiply $2 with n.

Where $n=1,2,3,4$ is the number of weeks.

For 1 week, Bev earns $2n=2(1)=2$ ⇒ $2

For 2 weeks, Bev earns $2n=2(2)=4$ ⇒ $4

For 3 weeks, Bev earns $2n=2(3)=6$ ⇒ $6

For 4 weeks, Bev earns $2n=2(4)=8$ ⇒ $8

Thus, we can see that the domain is the number of weeks.

Hence, Domain : $\{1,2,3,4\}$

Also, the money earned is the range.

Hence, Range: $\{2,4,6,8\}$

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3 years ago

The side of each of the equilateral triangles in the figure is twice the side of the central regular hexagon. What fraction of t

lana [24]

Answer:

The fraction is 1/4

Step-by-step explanation:

we know that

The area of an equilateral triangle, using the law of sines is equal to

$A=\frac{1}{2}x^{2}sin(60^o)$

$A=\frac{1}{2}x^{2}(\frac{\sqrt{3}}{2})$

$A=x^{2}\frac{\sqrt{3}}{4}$

where

x is the length side of the triangle

In this problem

Let

b ----> the length side of the regular hexagon

2b ---> the length side of the equilateral triangle

step 1

Find the area of the six triangles

Multiply the area of one triangle by 6

$A=6[x^{2}\frac{\sqrt{3}}{4}]$

$A=3x^{2}\frac{\sqrt{3}}{2}$

we have

$x=2b\ units$

substitute

$A=3(2b)^{2}\frac{\sqrt{3}}{2}\\\\A=6b^{2}\sqrt{3}\ units^2$

step 2

Find the area of the regular hexagon

Remember that, a regular hexagon can be divided into 6 equilateral triangles

The area of the regular hexagon is the same that the area of 6 equilateral triangles

$A=3x^{2}\frac{\sqrt{3}}{2}$

we have

$x=b\ in$

substitute

$A=3(b)^{2}\frac{\sqrt{3}}{2}$

step 3

To find out what fraction of the total area of the six triangles is the area of the hexagon, divide the area of the hexagon by the total area of the six triangles

$3(b)^{2}\frac{\sqrt{3}}{2}:6b^{2}\sqrt{3}=\frac{3}{2} :6=\frac{3}{12}=\frac{1}{4}$

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3 years ago

Question:Last season Farmer Sam picked 1 3/4 of tomatoes from his kitchen garden and 14 1/3 bushels from his canning garden.Abou

Scilla [17]

assuming the question is stating he picked 1 and 3/4 bushels from his kitchen garden then the answer is 16 whole bushels or 16.8

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Pls help need ASAP Use the number line given to choose the best answer for the question.

DIA [1.3K]

Answer:

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Step-by-step explanation:

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The riding lawn mower that Alejandro has on his farm has a top speed of 8 kilometers per hour. What is the lawn mower’s top spee

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Step-by-step explanation:

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3 years ago

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