<h3>
Answer: 24</h3>
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Work Shown:
f(x) = x^2 - 2x
f(2) = 2^2 - 2*2 ... replace every x with 2
f(2) = 4 - 4
f(2) = 0
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g(x) = 12-8x
g(3) = 12-8*3 ... replace every x with 3
g(3) = 12-24
g(3) = -24
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Subtract the results of the previous two sections
f(2) - g(3) = 0 - (-24)
f(2) - g(3) = 0 + 24
f(2) - g(3) = 24
An equation is formed of two equal expressions. The equation of function g(x) in terms of f(x) is g(x) = -3[f(x)].
<h3>What is an equation?</h3>
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The given graph is the graph of an exponential function, the general equation of an exponential function is given by the y=aeᵇˣ. To get the function f(x) and g(x), you need to substitute the points in the given function and produce the equation of each function.
The equation for f(x) from the given graph can be written as,
Now, similarly from the graph the function of g(x) can be written as,
Further, the equation of function g(x) in terms of f(x) can be written as,
g(x) = -3[f(x)]
Learn more about Equation:
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Answer:
The dimensions of the rectangle are length = 7cm and width = 6cm.
Step-by-step explanation:
In order to solve for the dimensions, you will need to set up two equations in order to solve for the missing variable. Given the information that the length is 5 cm less then twice it's width, using 'L' for length and 'w' for width we get the following equation: L = 2w - 5. Perimeter is the sum of all the sides, or in the case of a rectangle P = 2w + 2L. We can then use our expression for 'L' in our perimeter formula: 26 = 2w + 2(2w - 5). First, using the distributive property we get: 26 = 2w + 4w - 10. Next, we combine like terms: 26 = 6w - 10. Then, we use inverse operations to isolate the variable: 26 + 10 = 6w - 10 + 10 to get 36 = 6w, divide both sides by 6 to get w = 6. Lastly, plug in the value of 'w' to 'L': L = 2(6) - 5 or L = 7.
Answer:
1-True
2-True
3-False
Step-by-step explanation:
1- All negative numbers are <0 and to the left on a number line. All positive numbers are >0 and are on the right of a number line.
2- When the number line moves to the right, the number gets larger.
3- You could have a negative number that is smaller than another number, but its distance from 0 could be greater. For example, -12 < 2. However, -12 is 12 places away from zero on the number line, but the number 2 is only two places away from zero on the number line.