1/4 c + 3d
c=6 d=7
1/4 (6) + 3(7)
1.5+ 3(7)
1.5+ 21
22.5
Answer:
Step-by-step explanation:
Given:
The equations given are:
Now, a linear function is of the form:
Where, 'm' and 'b' are real numbers and 
Equation 1:
Simplifying using distributive property, we get:
The above equation is of the form . So, it represents a linear function.
Equation 2: 
Here, both sides of the equation has same variable 'X'. So, it will form an equation of 1 variable. So, it's not a linear function.
Equation 3: 
Simplifying the above equation. This gives,
This is not of the form of the linear function. So, it is also not a linear function.
Equation 4: 
Simplifying the above equation. This gives,
This is not of the form of the linear function. So, it is also not a linear function.
Answer:
Both expressions are equivalent to 78 when t = 6 ⇒ answer A
Step-by-step explanation:
* To solve this problem substitute the value of t and then check
the answer
∵ The first expression is 2(7t - 3) ⇒ simplify it
# 2(7t) = 14t
# 2(3) = 6
∴ 2(7t - 3) = 14t - 6
- Substitute t by 4
∴ 14t - 6 = 14(4) - 6 = 56 - 6 = 50
- Substitute t by 6
∴ 14t - 6 = 14(6) - 6 = 84 - 6 = 78
∵ The second expression is 15t - 12
- Substitute t by 4
∴ 15t - 12 = 15(4) - 12 = 60 - 12 = 48
- Substitute t by 6
∴ 15t - 12 = 15(6) - 12 = 90 - 12 = 78
- The first expression has two values
# 50 when t = 4
# 78 when t = 6
- The second expression has two values
# 48 when t = 4
# 78 when t = 6
- From these information
# The two expressions have the same value 78 when t = 6
∴ Both expressions are equivalent to 78 when t = 6
Area of room: 7 x 6.5 = 45.5 sq. M.
Area of rug: 22/7 x 1.75^2 = 9.625 sq. M.
Area of loot not covered: 45.5 - 9.625 = 35.875 sq. M. ( round answer if needed)
