Answer:
Step-by-step explanation:
Given: P is Three-fifths the length of the line segment from K to J
To find: x- and y-coordinates of point P on the directed line segment from K to J
Solution:
Section formula:
Let point K and J be 
such that the point 
divides KJ in ratio 
Then coordinates of point P are given by 
Take 
So,
coordinates of point P = 
<span>3 3/4 ÷ 2/8
=15/4 </span>÷ <span>2/8
</span>=15/4 <span>×</span> 8/2
=120/8
=15
Answer:
The two positive integers are 30 and 30
Step-by-step explanation:
Let
x------> the larger positive integer
y-----> the smaller positive integer
P----> the product o the two positive integers
we know that
-----> equation A
----> equation B
substitute equation A in equation B
This is the equation of a vertical parabola open downward
The vertex is a maximum
The y-coordinate of the vertex is the largest possible product
Using a graphing tool
The vertex is the point (30,900)
That means------> For 
The largest possible product is 
and
------> 
therefore
The two positive integers are 30 and 30
If i understand the machine correctly and -3 is x and 8 is the final answer, f(x)=x+11
Answer:
$1.25
Step-by-step explanation:
This can best be determined using a set of linear equations that are solved simultaneously.
This pair of linear equations may be solved simultaneously by using the elimination method. This will involve ensuring that the coefficient of one of the unknown variables is the same in both equations.
Let the cost of a cookie be c, cost of a doughnut be d and that of a box of doughnut hole be h then if cost of 4 cookies, 6 doughnuts, and 3 boxes of doughnut holes is $8.15, we have
4a + 6d + 3h = 8.15
and the cost of 2 cookies, 3 doughnuts, and 4 boxes of doughnuts holes is $7.20 then
2a + 3d + 4h = 7.20
Dividing the first by 2
2a + 3d + 1.5h = 4.075
subtracting from the second equation
2.5h = 3.125
h = 1.25
The cost of a box of doughnut holes is $1.25
