<span>–vp + 40 < 95
-vp < 55
-vp < 55 / p
v > 55 / p</span>
Answer:
12 small boxes
8 large boxes
Step-by-step explanation:
let x be the number of small boxes shipped
let y be the number of large boxes shipped
This means:
the total number of boxes is 20, so
x + y = 20
the number of 50 pound boxes is x and the number of 100 pound boxes is y and together there are 1400 pounds, so
50x + 100y = 1400
Then, solve
First, simplify the equation 50x + 100y = 1400 by dividing both sides by 50
x + 2y = 28
Now, subtract the two equations:
x + 2y = 28
- (x + y = 20)
y = 8
Now plug this into the equation x + y = 20
x + 8 = 20
x = 12
So the number of small boxes is 12 and the number of large boxes is 8.
Here's a graph:
Step-by-step explanation:
the average change rate of a function f(x) in an interval [x1 .. x2] is
(f(x2) - f(x1)) / (x2 - x1)
in our case that is
(7000 - 2500) / (20 - 0) = 4500 / 20 = 225
the population changed in average by 225 people per year from 1900 to 1920.
You have to multiply both numbers with the same factor. What I mean, 475/58 gives you 8 R 11. Now let's try this, (475x2=950) and (58x2= 116) so our new numbers are 950/116 which gives us the same answer 8 R 11 ! I hope this helped.. But let's try another one, keep in mind, you can multiply the number by any factor AS LONG AS you multiply them with the SAME factor. So if you multiply 475 by 5, then you have to multiply the 58 by 5 as well. Now let's try, (475x5=2375) and (58x5= 290) therefore, 2375/290 = which gives you 8 R 11 ! I hope I helped . I am a Palestinian student in Palestine in grade 11 and you just brought me back to grade 4 memories ! math is fun when you get it (: good luck
Answer:
- The coordinates of the point p are:
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Explanation:
1. Name the angle of inclination of the line joining p to the origin α.
2. Find the relation between the coordinates of the point (x,y)
When you draw a line from the origin to the parabola, the intersection point, p(x,y) will have coordinates (x,y).
As per the definition of the tangent trigonometric ratio you have:
From which you can clear y:
Which is the expression of the coordinates of p as a function of the angle of inclination of the line joining p to the origin.