Answer the question in the picture

The y-intercept of Function A is GREATER than the y-intercept of Function B

Step-by-step explanation:

First we need to find the y-intercept for Function A and B

To find the y-intercept we need to get the graph into slope-intercept form

(Which is y=mx+b with "m" being slope and "b" being y-intercept)

First we need to find the slope or "m":

The formula for slope is m= y2-y1/x2-x1

We can use the points from Function A as our x1, x2, y1, and y2

I will use (1,9) and (2,13) as they are the easiest

Since (1,9) is more above the graph it is the x1 and y1

With (2,13) being x2 and y2

13-9/2-1

Which is 4

Thus the slope is 4

The equation now looks like this:

y=4x+b

Now we need to find the y-intercept, and to do that we will need to substitute one of the points (their x and y values)

Using (1,9) we can substitute the x and y with 1 and 9

9=4+b

Subtract 4 on both sides:

5=b

Thus the y-intercept is 5

Now that we know the y-intercept of Function A we will need to find the y-intercept for Function B

To find the y-intercept we just need to find the number ON THE Y-AXIS (And with x=0) that the line intercepts to.

From the graph we can see that 2 is on the y-axis that the line intercepts, thus 2 is the y-intercept

Since 5 is greater than 5 The y-intercept of Function A is greater than the y-intercept of Function B

Hope this helps!

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.

something over 10 so ? /10

step-by-step explanation: