Slope: 3
Y-intercept : (0,9)
Answer:
see the explanation
Step-by-step explanation:
we know that

we have

so

Remember that


substitute

----> is verified
Answer:
No
Step-by-step explanation:
5x-2y=24
5x=24+2y____equ 1
2x+y=6
Y=6-2x______equ 2
Now substitute the value of y in equation 1
5x=24+2y
5x=24+2(6-2x)
5x=24+12-4x
5x+4x=36
X=36/9
X=4
Now, put the value of x in equation 2
Y=6-2x
Y=6-2*4
Y= -2
(4,-2)
Answer:
78 persons
Step-by-step explanation:
Given



Required
Determine the maximum number of person that can be invited
Let the number of persons be p.
If the hall charges $37 for 1 person, then it will charge $37p for p persons.
So:

The expression becomes:

Substitute values for Clean up, Charges and Budget

Subtract 100 from both sides



Make p the subject


Round down

<em>Hence, they can only invite 78 people to stay within budget</em>
Answer:
EG is 19 units
Step-by-step explanation:
Let us solve the question
∵ Lines CD and EF intersected at point G
∴ CD = CG + GD
∴ EF = EG + GF
∵ Line EF bisects line CD
→ That means G is the midpoint of CD
∴ CG = GD
∵ CG = 5x -1
∵ GD = 7x - 13
→ Equate them to find x
∴ 7x - 13 = 5x -1
→ Add 13 to both sides
∴ 7x -13 + 13 = 5x - 1 + 13
∴ 7x = 5x + 12
→ Subtract 5x from both sides
∴ 7x - 5x = 5x - 5x + 12
∴ 2x = 12
→ Divide both sides by 2
∴ 
∴ x = 6
∵ EF = 6x - 4
→ Substitute x by 6 to find its length
∴ EF = 6(6) - 4 = 36 - 4
∴ EF = 32
∵ EF = EG + GF
∵ GF = 13
∴ 32 = EG + 13
→ Subtract 13 from both sides
∵ 32 - 13 = EG + 13 - 13
∴ 19 = EG
∴ EG = 19 units