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Amiraneli [1.4K]
4 years ago
12

Choose the graph which matches the function. (5 points) (x) = 2^x+3

Mathematics
1 answer:
KatRina [158]4 years ago
3 0

Answer:

The third graph is the graph of the given function

Step-by-step explanation:

A simple technique that can be used to identify the graph that matches the given function is; determination of the x and y-intercepts. In this case, determining the y-intercept and then using elimination will suffice in matching the function with its graph. At the y-intercept the value of x is always zero, so we replace x with zero in the right hand side of the equation; y(x) = 2^(0+3) = 8. The graph of the function should therefore cross the y-axis at the point (0,8). The third graph is the graph of the given function.

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Pls help me, I really dont understand
Stella [2.4K]

Answer:

-2.5x-.5

y=\frac{2}{3}x-1

draw the dotted line (3/7)x-3 and shade below it

Step-by-step explanation:

First, we need the slope

Use the slope formula:

\frac{Y_2-Y_1}{X_2-x_1}=\frac{2-(-8)}{-1-3}=\frac{10}{-4}=-2.5

so we have

y= -2.5x+b

Solve for b by plugging in coordiantes

-8= -2.5(3)+b

-8= -7.5+b

b= -.5

Put it together and get -2.5x-.5

2.)

A line is parallel to another line if they have the same slope (and different y intercepts)

So in the formula y=mx+b we knowe that m= 2/3

Now it's just a matter of solving for B

plug in the required coordinate to do this

-1=(2/3)*0+b

-1= b

Put it all together to get

y=\frac{2}{3}x-1

3.)

put this into slope intercept form

3x-7y>21

3x-21 > 7y

(3/7)x-3 >y

To graph this just draw a dotted line with the equation (3/7)x-3 and shade everything below it (use de_smos if you're stuck)

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4 years ago
What is the ratio for 8 and 12
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It can be 8:12 or as a fraction it’s 8/12
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