Answer:
Hence, the following equations, when graphed, intersect at the point (4, 0):
x - y = 4 (1)
x + y = 4 (4)
Step-by-step explanation:
<em>" For the graph to intersect at the point (4,0) we mean that when y=0 , x must be equal to 4 or we could say that when x=4 then y=0".</em>
1)
x-y=4
now when y=0 then x=4.
Hence, the graph intersect at the point (4,0).
2)
-x-y=4
When y=0 in the equation then x=-4, Hence the point (4,0) does not lie on the graph of the given function.
3)
2x-y=7
When y=0 then x=7/2.
Hence the graph of the function does not intersect at the point (4,0).
4)
x+y=4
When y=0 then x=4.
Hence the graph of the given function intersect at (4,0).
5)
2x + y = 7
When y=0 then x=7/2.
Hence the graph of the function does not intersect at the point (4,0).
6)
2x + y = -7
When y=0 then x= -7/2.
Hence the graph of the function does not intersect at the point (4,0).
Answer:
16 members
Step-by-step explanation:
100 - 84 = 16 members
To do this, we first want to see how many participants there are in total by adding both males and females.
Now we know that there were 220 total participants, but only 121 were females.
This allows us to set up the fraction 121/220= the percent female.
or 55%
Answer:
7.5 pounds
Step-by-step explanation:
30/4=7.5 :)
Answer:
There are 21 blue marbles
Step-by-step explanation:
In this question, we are asked to calculate the number of blue marbles in a bag that contains a total of 60 marbles, given the probability of choosing a blue marble.
Mathematically, the probability of choosing a blue marble can be represented as:
P(B) = number of blue marbles/ Total number of marbles
From the question, we can identify that P(B) is 0.35, number of Marbles is unknown while the total number of marbles is 60.
We insert these values in the equation;
0.35 = number of blue marbles/60
Hence, number of blue marbles = 60 * 0.35 = 21
