Find the coefficient of x in the expansion of (x+7). Using the triangle.
1 answer:
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Answer:
<u>Graph of the equation y = 2/5x - 1</u>
Please check the attached graph of the equation where:
The point (0, -1) represents the y-intercept, it is the point where the line crosses the y-axis.
The point (2.5, 0) represents the x-intercept, it is the point where the line crosses the x-axis.
Step-by-step explanation:
Given the equation
y = 2/5x - 1
<u>Determining the y-intercept:</u>
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
As the equation is given such as
y = 2/5x - 1
substitute x = 0
y = 2/5(0) - 1
y = 0 - 1
y = -1
so the ordered pair (0, -1) represents the y-intercept.
Thus, the y-intercept is: -1
<u>Determining the x-intercept:</u>
We know that the value of the x-intercept can be determined by setting x = y and determining the corresponding value of x.
As the equation is given such as
y = 2/5x - 1
substitute y = 0
0 = 2/5x - 1
2/5x = 1
x = 5/2
x = 2.5
so the ordered pair (2.5, 0) represents the x-intercept.
<u>Graph of the equation y = 2/5x - 1</u>
Please check the attached graph of the equation where:
The point (0, -1) represents the y-intercept, it is the point where the line crosses the y-axis.
The point (2.5, 0) represents the x-intercept, it is the point where the line crosses the x-axis.
Answer:
The population will be 896 turtles 6 years later ⇒ B
Step-by-step explanation:
The exponential increasing formula is y = a, where
- y is the new value
- a is the initial value
- r is the rate of increase in decimal
- x is the time in years
∵ There are 300 turtles
∴ a = 300
∵ The population of the turtles exponentially increases 20% each year
∴ r = 20%
→ Divide it by 100 to change it to decimal
∵ 20% = 20 ÷ 100 = 0.2
∴ r = 0.2
∵ The time is 6 years
∴ x = 6
→ Substitute these values in the exponential formula above
∵ y = 300
∴ y = 300
∴ y = 895.7952
→ Round it to the nearest whole number
∴ y = 896
∴ The population will be 896 turtles 6 years later