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3 years ago

Which is most likely the equation of the line shown on the graph?

Mathematics

2 answers:

NeX [460]3 years ago

5 0

The y-intercept is at (0, 3)
The slope is up one, over one.
The equation for this line would be
y = 1/1x + 3
which is equal to
y = x + 3

Hope this helps!

Strike441 [17]3 years ago

5 0

Answer:

The equation of line is y=x+3.

Step-by-step explanation:

Consider the provided graph.

The slope intercept form of a line is:

y=mx+c

Where m is the slope and c is the y intercept.

y-intercept is a point where the value of x is 0.

From the provided graph we can identify the y intercept of the line is 3. Because at (0,3) the value of x is 0.

Now find the slope of line as shown

$m = \frac{Rise}{Run}$

Here for 1 unit of run the graph rise 1 unit, thus the slope of the line is:

$m = \frac{1}{1}=1$

Now substitute the value of m and c in the slope intercept form.

y=x+3

Hence, the equation of line is y=x+3.

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The function y = x 2 - 10x + 31 has a ____

katrin [286]

Answer:

Option B. minimum is correct for the first blank

Option C. 6 is correct for second blank.

Step-by-step explanation:

In order to find the maxima or minima of a function, we have to take the first derivative and then put it equal to zero to find the critical values.

Given function is:

$f(x) = x^2-10x+31$

Taking first derivative

$f'(x) = 2x-10$

Now the first derivative has to be put equal to zero to find the critical value

$2x-10 = 0\\2x = 10\\x = \frac{10}{2} = 5$

The function has only one critical value which is 5.

Taking 2nd derivative

$f''(x) =2$

$f''(5) = 2$

As the value of 2nd derivative is positive for the critical value 5, this means that the function has a minimum value at x = 5

The value can be found out by putting x=5 in the function

$f(5) = (5)^2-10(5)+31\\=25-50+31\\=6$

Hence,

<u>The function y = x 2 - 10x + 31 has a minimum value of 6</u>

Hence,

Option B. minimum is correct for the first blank

Option C. 6 is correct for second blank.

8 0

3 years ago

Which function represents a reflection of f(x) =

liubo4ka [24]

If your original equation was $f(x) = 3(2)^x$ , then a reflection over the x-axis means you need all the y-values to switch sign. This means you need to multiply that function by -1.

$g(x) = -1\cdot 3(2)^x$ or $g(x) = -3(2)^x$

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2 years ago

What’s a mode in a dit plot

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Answer:

You can use it to plot to find mean, median, mode, and outliers of data sets.

Step-by-step explanation:

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3 years ago

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Find the surface area of the composite solid.

Illusion [34]

The ends of the rectangle = 10*10*2 = 200

The long sides and bottom of the rectangle = 12*10*3 = 360

Vertical end of the triangle = 5*10 = 50

The sides of the triangle = 12*5*1/2*2 = 60

Triangle slope = 13*10 = 130

Total = 200 + 360 + 50 + 60 + 130 =

800 in sq

7 0

3 years ago

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During cooking, chicken loses 10% of its weight due to water loss. In order to obtain 1,170 grams of cooked chicken, how many gr

sweet-ann [11.9K]

Answer:

117 grams

Step-by-step explanation:

So this is a oddly phrased question but I believe I understand it. You need to find 10 percent of 1170 grams and that it 117. And for you information I did use calculator to prevent error so don't worry about that.

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3 years ago