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MatroZZZ [7]
3 years ago
15

Answer this and i’ll give you extra points

Mathematics
1 answer:
snow_tiger [21]3 years ago
5 0

Answer:

Option (5)

Step-by-step explanation:

Graph of a function f(x) = x represents a straight straight line (y = x), passing through the origin (0, 0).

As shown in the graph,

Let the equation of the given line is,

y = mx + b

Here, m = slope of the line

b = y-intercept

Since, the given line passes through two points (0, -1) and (-1, 2)

Slope of the line 'm' = \frac{y_2-y_1}{x_2-x_1}=\frac{2+1}{-1-0}

                                              = -3

y-intercept 'b' = -1

Therefore, equation of the line will be,

y = -3x - 1

And the function is,

g(x) = -3x - 1

Here, (-3) represents the reflection of parent function over the x axis, vertical stretch of the parent function by 3 units.

Followed by the shifting of parent function by 1 unit down.

Therefore, Option (5) is the answer.

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Answer:

(86.2,0) is the x-intercept.

Step-by-step explanation:

You can use the slope formula to figure this one out:

Just use two of the points on the table, any of them will work:

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Now you have the slope of the equation, now using the y-intercept equation you can substitute the variables for point of the table and the new slope.:

(71,-44)\\y=mx+b\\-44=\frac{55}{19} (71)+b

Now just solve for b to get the y intercept:

-44=\frac{55}{19}(71)+b\\-44= \frac{3905}{19} +b\\(-\frac{3905}{19})-44=\frac{3905}{19} +b(-\frac{3905}{19})\\   -\frac{4741}{19}=b

Now you have the y-intercept so you just have to plug in 0 to the y spot and it will calculate the x-intercept.

0=\frac{55}{19}x-\frac{4741}{19}\\(+\frac{4741}{19})0=\frac{55}{19}x-\frac{4741}{19}(+\frac{4741}{19})\\\\\frac{4741}{19}=\frac{55}{19}x\\\frac{\frac{4741}{19}}{\frac{55}{19} }= \frac{\frac{55}{19} x}{\frac{55}{19} } \\\frac{431}{5} =x\\or\\86.2=x

And that's the x-intercept.

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Answer:

Y = 4

Step-by-step explanation:

12 - 8 = 4  and if you put another triangle it will look like a complete square, so you will need to subtract it     Hope it Helps  

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1 1/3 divided by 3/5= 2 2/9. Hope this helps :)
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