Write an equation of a line with the slope of 1 and y-intercept of 4
1 answer:
Answer (<u>assuming it can be in slope-intercept form)</u>:
y = x + 4
Step-by-step explanation:
With the given information, we can write the equation of the line in slope-intercept form. Use the slope-intercept formula, , and substitute values for
and
.
The , or the coefficient of the x-term, represents the slope, so substitute 1 in its place. The
represents the y-intercept, so substitute 4 in its place. This gives the following answer:
(Remember that the coefficient of the x-term, 1, is still there. However, instead of , we can just write it as
.)
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Answer:
<em>1364</em> is the number of possibilities for positive integers less than 1,00,000.
Step-by-step explanation:
<em>1. 5 digit numbers:</em>
We have 5 places here, and each place can have 4 options because repetition is allowed.
So, total number of possibilities for 5 digit numbers:
<em>2. 4 digit numbers:</em>
We have 4 places here, and each place can have 4 options because repetition is allowed.
So, total number of possibilities for 4 digit numbers:
<em>3. 3 digit numbers:</em>
We have 3 places here, and each place can have 4 options because repetition is allowed.
So, total number of possibilities for 3 digit numbers:
<em>4. 2 digit numbers:</em>
We have <em>2</em> places here, and each place can have 4 options because repetition is allowed.
So, total number of possibilities for 2 digit numbers:
<em>5. 1 digit numbers:</em>
We have 1 place here, and each place can have 4 options because repetition is allowed.
So, total number of possibilities for 1 digit numbers:
We can add all the above possibilities to find the total.
So, number of positive integers less than 100,000 whose digits are among 1, 2, 3, and 4 = 1024 + 256 + 64 + 16 + 4 = <em>1364</em>