Answer: x=7
Step-by-step explanation: First you distribute the 12 to (10-x). That then gives you 15x+120-12x=141. Now you combine like terms. So you do 15x-12x=3x. Your new equation now is 3x+120=141. Subtract 120 from 141 and mark it out. That leaves you with 3x=21. Divide both sides by 3. Your final answer is x=7.
Step-by-step explanation:
Let's call L the length and W the width. The length is 10 feet longer than the width, so:
L = W + 10
The area is the length times width, so:
119 = LW
Substituting:
119 = (W + 10) W
119 = W² + 10W
0 = W² + 10W − 119
0 = (W + 17) (W − 7)
W = -17 or 7
Since W must be positive, W = 7.
L = W + 10
L = 17
The length and width are 17 feet and 7 feet, respectively.
Answer:
The answer is 105.
Step-by-step explanation:
Answer:
The ordered pair is (1, 2) ⇒ A
Step-by-step explanation:
In the function f(x) = y
- x is the domain of the function
- y is the range of the function
- The domain is all the x-coordinates of the points lie on the graph of the function
- The range is all the y-coordinates of the points lie on the graph of the function
That means any ordered pair (x, y) satisfy the function f(x) = y, lies on the graph of the function
∵ f(x) = 2x
→ That means y = 2x
∵ x = 1
→ Substitute the value of x in the function above
∴ f(1) = 2(1)
∴ f(1) = 2
→ That means at x = 1, y = 2
∴ The ordered pair is (1, 2)