Answer:
The simplified answer would be 7m+63. You would have to solve for the variable.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The function has a domain x ≥ 5.
This is because the function remains real for (x - 5) ≥ 0 as negative within the square root is imaginary.
Hence, (x - 5) ≥ 0
⇒ x ≥ 5
Now, for all x values that are greater than equal to 5 the value of 
will be negative.
So, 
⇒ 
⇒ y ≤ 3
Therefore, the range of the function is y ≤ 3. (Answer)
Answer:
Number of $5 bills = 32
Number of $10 bills = 14
Number of $20 bills = 8
Step-by-step explanation:
Let x number of $5, y number of $10 and z number of $20
The number of $5 bills exceeds twice the number of $10 bills by 4.
Therefore, x = 2y + 4
The number of $20 bills is 6 fewer than the number of $10 bills.
Therefore, z = y - 6
A wallet contains $460 in $5, $10, and $20 bills.
Therefore,
5x + 10y + 20z = 460
Substitute x and y into equation
5(2y+4) + 10y + 20(y-6) = 460
10y + 20 + 10y + 20y - 120 = 460
40y - 100 = 460
40y = 460 + 100
40y = 560
y = 14
- Put the value of y into x = 2y + 4 and solve for x
x = 2(14) + 4
x = 32
- Put the value of y into z = y - 6 and solve for z
z = 14 - 6
z = 8
Hence, the each type of bills,
Number of $5 bills = 32
Number of $10 bills = 14
Number of $20 bills = 8
Answer:
Step-by-step explanation:
angle a=40 degree (being vertically angles)
angle a + 90 +angle b=180 degree (being sum of interior angles of a triangle)
40 +90 +angle b=180
130 + angle b=180
angle b=180-130
angle b =50 degree
vrtically opposite of angle b
vertically opposite of angle b + missing angle=65 degree (sum of two intrior opposite angle is equal to the exterion anle formed)
40 degree + missing angle=65
missing angle=65-40
missing angle=25 degree
angle c+ vertically opposite of angle b + missing angle=180 degree (being sum of interior angles of a triangle)
angle c +50 +25 =180
angle c+75=180
angle c=180-75
angle c=105 degree
