Answer:
They biked for 1 hour and 38 minutes
Step-by-step explanation:
Here, we want to know the length of the biking time
Mathematically, from the time given;
if they had ended the biking by 2:47
They would have biked for 2 hours
But, as it can be seen, the biking stopped at 2:25 and that is (57-25 = 22 minutes earlier)
So, the length of their biking time would be;
1 hour and (60-22) minutes
and that is 1 hour 38 minutes
Answer:
32 hours
Step-by-step explanation:
14x + 250 < 22x
250 < 22x - 14x
250 < 8x
250/8 < x
x = 31.25 = 32 hours
Tim charge for 32 hrs: 14(32)+250= $698
Colorful paints charge for 22 hrs: $704
<h2><em>The Equation of line with points (4 , - 3) and slope 3/2 is y = 3/2 x - 9
</em></h2><h2><em>
</em></h2><h2><em>Step-by-step explanation:
</em></h2><h2><em>
</em></h2><h2><em>Given equation of line as :
</em></h2><h2><em>
</em></h2><h2><em> y =-2/3 x + 6
</em></h2><h2><em>
</em></h2><h2><em>∵ Standard equation of line is give as
</em></h2><h2><em>
</em></h2><h2><em>y = a x + c
</em></h2><h2><em>
</em></h2><h2><em>Where m is the slope of line and c is the y-intercept
</em></h2><h2><em>
</em></h2><h2><em>Now, comparing given line equation with standard eq
</em></h2><h2><em>
</em></h2><h2><em>So, The slope of the given line = a = -2/3</em></h2><h2><em>
</em></h2><h2><em>Again,
</em></h2><h2><em>
</em></h2><h2><em>The other line if passing through the points (- 2 , - 1 ) And is perpendicular to given line
</em></h2><h2><em>
</em></h2><h2><em>So, for perpendicular lines condition , the products of slope of both lines = - 1
</em></h2><h2><em>
</em></h2><h2><em>Let The slope of other line = m
</em></h2><h2><em>
</em></h2><h2><em>So, m × a = - 1
</em></h2><h2><em>
</em></h2><h2><em>Or, m × -2/3 = - 1
</em></h2><h2><em>
</em></h2><h2><em>So, m = -1/-2/3</em></h2><h2><em>
</em></h2><h2><em>∴ m = 3/2</em></h2><h2><em>
</em></h2><h2><em>Now, Again
</em></h2><h2><em>
</em></h2><h2><em>The line n is parallel to the line m and passes through the points (4 , - 3)
</em></h2><h2><em>
</em></h2><h2><em>∵ Line n parallel to line m so, The slope of both are equal
</em></h2><h2><em>
</em></h2><h2><em>Let The slope of line n is M
</em></h2><h2><em>
</em></h2><h2><em>So, M = m =
3/2</em></h2><h2><em>
</em></h2><h2><em>So, The equation of line written as
</em></h2><h2><em>
</em></h2><h2><em>y = M x + c
</em></h2><h2><em>
</em></h2><h2><em>Or, - 3 = 3/2 ( 4 ) + c
</em></h2><h2><em>
</em></h2><h2><em>Or, - 3 = 3*4/2 + c
</em></h2><h2><em>
</em></h2><h2><em>Or, - 3 = 6 + c
</em></h2><h2><em>
</em></h2><h2><em>Or, c = - 3 - 6
</em></h2><h2><em>
</em></h2><h2><em>∴ c = - 9
</em></h2><h2><em>
</em></h2><h2><em>So, Equation of line with points (4 , - 3) and slope 3/2 is
</em></h2><h2><em>
</em></h2><h2><em>y = 3/2 x - 9
</em></h2><h2><em>
</em></h2><h2><em>Hence , The Equation of line with points (4 , - 3) and slope 3/2 is y = 3/2 x - 9</em></h2><h2><em /></h2><h2><em> HOPE IT HELPS (◕‿◕✿) </em></h2><h2><em> SMILE!!</em></h2>
Answer:
1
.8
.6
Step-by-step explanation:
Given:
To find:
Which table shows correct values for the function.
Solution:
Substitute x = -8 in the function:
Apply radical rule: , if n is odd.
f(-8) = 14
Substitute x = -1 in the function:
Apply radical rule: , if n is odd.
f(-8) = 10
Substitute x = 0 in the function:
f(0) = 6
Substitute x = 8 in the function:
f(8) = -2
Therefore table 3 is shows correct values for the function.