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Answer:
The equation is y = 3x + 2
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
- m is the slope of the line which represent the equation
- b is the y-intercept which is value y at x = 0
The rule of the slope is m = Δy/Δx, where
- Δx = x2 - x1 and Δy = y2 - y1
- (x1, y1) and (x2, y2) are two points on the line.
∵ x is the input
∵ Input: 0, 1, 2, 3, 4
∵ y is the output
∵ output: 2, 5, 8, 11, 14
∴ The points on the line are (0, 2), (1, 5), (2, 8), (3, 11), and (4, 14)
→ Use any two points to find m
∵ x1 = 0 and y1 = 2
∵ x2 = 1 and y2 = 5
→ Find Δx and Δy
∴ Δx = 1 - 0 = 1
∴ Δy = 5 - 2 = 3
→ Substitute them in the rule of the slope above
∵ m = 
∴ m = 3
∵ b is the value of y at x = 0
∵ At x = 0, y = 2
∴ b = 2
→ Substitute the values of m and b in the form of the equation above
∵ y = 3x + 2
∴ The equation is y = 3x + 2
Answer:
62.8 inches
Step-by-step explanation:
Pizza World sells an extra large pizza that has a radius of 10 inches. What is the circumference of the crust of the extra large pizza? Use 3.14 for πand round answer to the nearest hundredth if necessary.
The shape of a pizza is circular.
The formula for the circumference of a circle is given as:
2πr
Where r = 10 inches
π = 3.14
Circumference of the circle is
= 2 × 3.14 × 10
= 62.8 inches
Therefore, the circumference of the crust of the extra large pizza is 62.8 inches
Answer:
y - 10 = -1 (x+4)
y = - x + 6
Step-by-step explanation:
y - 10 = - 1 (x - - 4)
y - 10 = -x - 4
y = -x - 4 + 10
Given that
4 is added to twice a number
<em>The result when one number is added to another is called "Addition"</em>
Let the number be x
Twice the number, x, is

<em>4 is added to twice a number, x, can be expressed below as</em>

Hence, the algebraic expression of "4 is added to twice a number, x", is 2x+4