Answer: y = -35x + 105
Step-by-step explanation:
The graph represents a function that is between hours and miles and to determine the equation which belong to this graph, we need to find the slope first by using two points from the graph which are (0, 105) and (3, 0).
The definition of slope is
m = (y2 - y1)/(x2 - x1)
= (0-105)/3-0
= -105/3
= -35
The slope is -35 and remember that the slope is the coefficient of the variable x. Therefore, the answer is:
y = -35x + 105
Let x be the original radius. Given that a semicircle will have an arc length of half of a circumference and C=2pr, the arc length will be just pr.
Now the difference of arc is then going to be:
p(6+x)-px
p(6+x-x)
6p inches
So the arc will be 6p inches longer. Or if you wish to approximate...
≈18.85 inches
Answer:
1.5^4
Step-by-step explanation:
The product for this expression is 1.5 multiplied by itself 4 times. This means you raise it to the fourth power, thus giving you 3/2^4 or 1.5^4.
Answer:
The percent off on the sale price is 30%.
Step-by-step explanation:
Marked up price = $64.99
marked down Price = $45.49
Let us assume the off percentage = k%
Now, the Amount off on the sale = Marked up price - Marked down price
= $64.99 - $45.49 = $19.5
⇒ k% off on Marked up Price $64.99 = $19.5
or, 
or, k = 30%
Hence, the percent off on the sale price is 30%
2/7 + 4/7 = 6/7 Can be rewritten as
4/7 + 2/7 = 6/7
