Solve the system of equations by graphing. Check your solution. 5x+y=14 2x-y=7
1 answer:
ANSWER
(3,-1)
EXPLANATION
The given system of equations is :
5x+y=14
2x-y=7
For the first equation when x=0,
5(0)+y=14
y=14
The y-intercept is (0,14).
When y=0, 5x+0=14
The x-intercept is (2.8,0).
We plot the intercepts and draw a straight line through them to obtain the graph of 5x+y=14 as shown in the attachment.
We repeat the same process for the second equation 2x-y=7.
The intercepts are (0,-7) and (3.5,0)
The solution to the system is the point of intersection of the two straight lines.
The two straight lines intersected at
(3,-1)
Hence x=2, y=-1
(3,-1)
EXPLANATION
The given system of equations is :
5x+y=14
2x-y=7
For the first equation when x=0,
5(0)+y=14
y=14
The y-intercept is (0,14).
When y=0, 5x+0=14
The x-intercept is (2.8,0).
We plot the intercepts and draw a straight line through them to obtain the graph of 5x+y=14 as shown in the attachment.
We repeat the same process for the second equation 2x-y=7.
The intercepts are (0,-7) and (3.5,0)
The solution to the system is the point of intersection of the two straight lines.
The two straight lines intersected at
(3,-1)
Hence x=2, y=-1
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Answer:
The values for the given function f is defined by is
a) ,
b) and
c)
Step-by-step explanation:
Given that the function f is defined by
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Now take f(0)
Put x=0 in the given function we get
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Put x=18 in the given function we get
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Put x=-18 in the given function we get
Therefore
The values for the given function f is
a) ,
b) and
c)
Answer:
216 people
Step-by-step explanation:
Given:
2.5 feet² is occupied by 1 person
Dimension of room = 216 in × 360 in
Required:
No. of people that would occupy the room
SOLUTION:
Step 1:
Convert the dimensions of the room from in to ft
Note: 1 foot = 12 inches
216 inches =
360 inches =
Step 2: calculate area of the room.
Area of the room = 30*18 = 540 ft²
Step 3: calculate the no. of people the room will contain.
2.5 ft² will contain one person
Therefore, 540 ft² will contain: