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maks197457 [2]
3 years ago
11

The line plot shows the favorite color of the students in class. How many students liked yellow and orange combined?

Mathematics
1 answer:
Elanso [62]3 years ago
3 0

Answer:

8

Step-by-step explanation:

Five students prefer yellow and three prefer orange.  That's a total of eight (8) students altogether who like yellow and orange.

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Which figures demonstrate a translation?
Nuetrik [128]

Answer:

3rd and 4th Options are correct choices.

Step-by-step explanation:  

We have been given a graph and we are asked to find which of the given figures demonstrate translation.

Since we know that in translation every point of the object must be moved in the same direction and for the same distance. By translation we can shift a figure in upward, downwards, left and right directions.

Now let us see our given choices one by one.

1. Upon looking at figures represented by 1st option we can see that both figures are mirror images to each other. Since we can get mirror images reflecting the pre-image over an axis of symmetry. So the given figures are result of reflection, therefore, 1st option is not a correct choice.

2. We can see that the figures represented by 2nd option are similar. One figure is smaller and other is larger. Since we get a similar image by dilating our pre-image. Therefore, these figures are result of dilation and 2nd option is not correct indeed.

3. We can see that figures represented by 3rd option are same and these figures are result of shifting. We can see that 1st figure is shifted to right to get the second figure, therefore, 3rd option is a correct choice.

4. The figures represented by 4th option are same and these figures are result of shifting. We can see the figure in the bottom is result of shifting the upper figure downwards and then to right. Therefore, 4th option is a correct choice.

5 0
3 years ago
Read 2 more answers
Help please I’m confused
Alex787 [66]

Answer:

it is the 2nd option

Step-by-step explanation:

4 0
3 years ago
2) Jim invested $4,000 in a bond at a yearly rate of 4.5%. He earned $540 in interest.
zmey [24]
The money was invested for 3 years
7 0
3 years ago
Identify each x-value at which the slope of the tangent line to the function f(x) = 0.2x2 + 5x − 12 belongs to the interval (-1,
Misha Larkins [42]

Answer:

<em>slope of the tangent</em>

<em></em>\frac{d y}{d x} = 0.2(2 x) + 5 (1)<em></em>

<em>The slope of the tangent to the interval (-1 ,1)</em>

<em>m = 4.6 ,5, 5.4</em>

Step-by-step explanation:

<u><em>Step(i):</em></u>-

Given function is  f(x) = 0.2 x² + 5 x − 12

Slope of the tangent formula

                        m = \frac{d y}{d x}

Let y =  f(x) = 0.2 x² + 5 x − 12 ...(i)

Differentiating equation(i) with respective to 'x' , we get

\frac{d y}{d x} = 0.2(2 x) + 5 (1) -0

let x=-1

m = \frac{dy}{dx} = 0.2 (2 X -1) +5 = 4.6

let x=0

m = 5

let x=1

m = \frac{dy}{dx} = 0.2 (2 X 1) +5 = 5.4

<u><em>conclusion</em></u>:-

<em>slope of the tangent</em>

<em></em>\frac{d y}{d x} = 0.2(2 x) + 5 (1)<em></em>

<em>The slope of the tangent to the interval (-1 ,1)</em>

<em>m = 4.6 , 5,  5.4</em>

 

7 0
3 years ago
Read 2 more answers
Question 1
Elza [17]

Answer:

29

Step-by-step explanation:

8 0
3 years ago
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