The sample space has 36 possible pairs from 1,1 1,2 1,3 up to 6,5 and 6,6
(a). Three pairs add to 4 1,3 2,2 and 3,1 so P(4) = 3/36 = 1/12
(b). 6 pairs add to 7 so P(7) = 6/36 = 1/6
(c) 15 pairs add to less than 7 so P(<7) = 15/36 = 5/12
The equation in slope-intercept form is:

Further explanation:
The standard slope-intercept form is:

Given equation is:

In order to bring the equation in slope-intercept form we have to isolate y on left hand side of equation
So,
<u>Adding 2x on both sides</u>

<u>Dividing both sides by 3</u>

<u>Simplifying</u>

The equation in slope-intercept form is:

Keywords: Slope-intercept form, linear equation
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Hi,
The request actually is to choose functions whose derivative is a constant.
For A, derivative is
, which is not constant.
For B, derivative is 2ˣ·ln2, which is not constant.
For C, derivative is 0, which is a constant.
For D, derivative is 1, which is a constant.
So, you can choose C and D.
Have you understood ?
Green eyes.
If you would like to know how much did the shirt cost after 6% tax, you can calculate this using the following steps:
6% of $43 = 6/100 * 43 = $2.58
$43 + $2.58 = $45.58
The correct result would be $45.58.
Say, for example, you have an improper fraction (it usually is if you're trying to convert to a mixed number) like: 55/7
You would take the highest number that is divisible by the denominator, which in this case is 7 (7x7=49; 7x8 would be 56 and we don't want that)
You subtract the number you got (49) from the original numerator (55).
That will give you 6.
Now, you put the whole number (7) before the fraction (6/7)