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3 years ago

Which equation describes the graph?

Mathematics

1 answer:

Mice21 [21]3 years ago

4 0

Answer:

Y=-|x-2|

Step-by-step explanation:

To find which equation matches the graph, take 1 or 2 values of the line on the graph and enter the X and Y values of those points in the equations to see if they match

One good strategy is to take points that are along the axis. I'll first pick (1,-1) and will use (0,-2) to validate if one equation matches (1,-1) first.

Y=-|x|+2

for (1,-1) => -|1| + 2 = = -1 + 2 = 1 NO, should be -1

Y=-|x|-2

for (1,-1) => -|1| - 2 = = -1 - 2 = -3 NO, should be -1

Y=-|x+2|

for (1,-1) => -|1 + 2| = = -|1 + 2| = -3 NO, should be -1

Y=-|x-2|

for (1,-1) => -|1 - 2| = = -|-1 | = -1 YES

for (0,-2) => -|0 - 2| = = -|-2| = -2 YES

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What are the types to change 2 and 1/3 to an improper fraction

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It would be 7/3 as you times the whole number by the denominator. Then add the numerator to get the numerator of your answer, finally add the original denominator to your answer to equal 7/3 .

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4 years ago

Pretend you are coaching a sports team—you pick the sport. What are some ways you would use matrices on the job?

gayaneshka [121]

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3 years ago

[need math help] Study buddies part #2

rosijanka [135]

Answer:

Part A) The distance between Whitney's house and Anh's house is 6.5 miles.

Part B) The total distance traveled by Whitney during the trip was 9.5 miles.

Step-by-step explanation:

Part A)

Notice that during Whitney's journey to Anh's house, her velocity was negative for some time. So, Whitney was travelling backwards. Hence, the total distance Whitney traveled will be greater than the actual distance from Whitney's house to Anh's.

So, instead, we can calculate Whitney's total displacement. Total displacement is given by:

$\displaystyle \text{Displacement}=\int_a^bv(t)\, dt$

Where v(t) is the velocity function.

So, the displacement of Whitney when she traveled from her house to Anh's house will be:

$\displaystyle \text{Displacement}=\int_0^{24}v(t)\, dt$

To calculate the integral, we can split it off at t = 11, t = 16, and t = 24.

The three regions represent three geometric figures, which we can use to calculate the area and then find the integral. Rewriting:

$\displaystyle \text{Displacement}=\int_0^{11}v(t)\, dt+\int_{11}^{16}v(t)\, dt+\int_{16}^{24}v(t)\, dt$

Now, we can calculate the area of each figure.

The first figure is a trapezoid with a height of 0.8 and two bases of 11 and 3. So, its area is:

$\displaystyle A_1=\frac{1}{2}(0.8)(11+3)=5.6\text{ miles}$

The second figure is a triangle with a height of 0.6 and a base of 5. So, its area is:

$\displaystyle A_2=\frac{1}{2}(0.6)(5)=1.5\text{ miles}$

Lastly, the third figure is another triangle will a height of 0.6 and a base of 8. So, its area is:

$\displaystyle A_3=\frac{1}{2}(0.6)(8)=2.4\text{ miles}$

However, notice that the second figure is below the x-axis. During that interval, Whitney was traveling backwards. Hence, we will subtract the second area from the rest of the areas.

Then the displacement will be:

$\displaystyle \text{Displacement}=5.6-1.5+2.4=6.5\text{ miles}$

So, the distance between Whitney's house and Anh's house is 6.5 miles.

Part B)

The total distance differs from displacement in that it includes all the distances in both directions. It is given by:

$\displaystyle \text{Distance}=\int_a^b|v(t)|\, dt$

In other words, all of our values are now positive. We will utilize the same strategy:

$\displaystyle \text{Distance}=\int_0^{11}|v(t)|\, dt+\int_{11}^{16}|v(t)|\, dt+\int_{16}^{24}|v(t)|\, dt$

Substitute. The only difference is that we will add 1.5 instead of subtracting it. So:

$\displaystyle \text{Distance} =5.6+1.5+2.4=9.5$

Therefore, in this instance, Whitney traveled a total of 9.5 miles to get to Anh's house.

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3 years ago

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Eddi Din [679]

Answer:

Step-by-step explanation:

mean = total / amount of numbers

= 15/5 = 3

median = 4 middle number

mode = most common numbers = 3,2

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3 years ago

Find the area. 8 in 19 in 13 in 1976 in² 205 in² 128 in² 104 in²

sveticcg [70]

Total area = 104+24 = 128 sq.in , Option C is the right answer.

The missing figure is attached with the answer.

The space occupied by a two dimensional figure is called Area.

The figure given in the question can be divided into two figure

A rectangle of 8 * 13 inch

and a triangle of 8 * 6 inch

The area of a rectangle is given by

Length * Breadth

8 * 13

= 104 sq.inch

The area of the triangle is given by

(1/2) * base * height

= (1/2) * 8 * 6

= 24 sq.inch

Total area = 104+24 = 128 sq.in

Therefore Option C is the right answer.

To know more about Area

brainly.com/question/27683633

#SPJ1

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2 years ago