The height of a painting is √30 ft. Between which two consecutive whole numbers is √30? 7 and 8 6 and 7 4 and 5 5 and 6
1 answer:
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<em>Question:</em>
<em>Abraham has visited at least 50 countries; he plans to visit five new countries per year (Y) for the next several years. Which inequality and solution shows the amount of years they will take for Abraham to meet his goal.</em>
Answer:
Step-by-step explanation:
Given
------ at least
Required
Represent as an inequality
"at least" means
So the countries he has visited can be represented as thus;
If
1 year = 5 countries
y years would be 5y countries
So, in y years; he'd have visited
To determine the value of y.
We have that
<em>in the world</em>
<em>Substitute 195 for Countries</em>
<em>Collect Like Terms</em>
<em>Divide through by 5</em>
<em>Reorder</em>
This means that; he'll visit all countries in at most 29 years' time
F(x)=-1x-1
1) Pick 2 points on the line (i chose (-4,3) and (3,-4)
2) Find slope of the line using the 2 points. (work below)
3) Find y-intercept, which is the point where y-axis and the line cross (y-intercept is -1).
4) Place both slope and y-intercept into slope-intercept form, y=mx+b (m=slope and b=y-intercept.)
5) Change y to f(x) (meaning function of x).
Work:
3-(-4)/-4-3=3+4/-4-3=7/-7=-1
y-intercept equals -1 also.
y=mx+b
y=-1x+(-1)
y=-1x-1
f(x)=-1x-1<---Answer
1) Pick 2 points on the line (i chose (-4,3) and (3,-4)
2) Find slope of the line using the 2 points. (work below)
3) Find y-intercept, which is the point where y-axis and the line cross (y-intercept is -1).
4) Place both slope and y-intercept into slope-intercept form, y=mx+b (m=slope and b=y-intercept.)
5) Change y to f(x) (meaning function of x).
Work:
3-(-4)/-4-3=3+4/-4-3=7/-7=-1
y-intercept equals -1 also.
y=mx+b
y=-1x+(-1)
y=-1x-1
f(x)=-1x-1<---Answer