Answer:
x = -1.2
Step-by-step explanation:
Th given equation is :
34(x + 4) = 14(x + 8)
Step (A) Distribute 34 on the left side of the equation such as :
34x + 34(4) = 14(x + 8)
34x + 136 = 14(x + 8)
Step (B) Distribute 14 on the right side of the equation such as :
34x + 136 = 14x + 14(8)
34x + 136 = 14x + 112
Step (C) Subtract 14x from each side of the equation.
34x + 136 - 14x = 14x + 112 -14x
20x + 136 = 112
Step (D) Subtract 136 from each side of the equation.
20x + 136 -136 = 112 -136
20x = -24
Step (E) Divide both side by 20
So, the value of x is (-1.2). Hence, steps (D) and (E) are incorrect.
Answer: The median of the date you gave would be -71. Hope that helps!
Answer:
1) f(g(-2))=-3, 2) g(f(0))=5
Step-by-step explanation:
1)f(g(-2))
First, g(-2) means that x=-2. Hence, you must find the value of g(x) in the table when x=-2. You can see that, when x=-2, g(-2) = -3.
Next, you must find f(-3) in the graph, where x=-3. You can see in the graph that, when x=-3, f(-3) = -2.
Therefore, f(g(-2))=-3
2) g(f(0))
In the case, we must apply the inverse procedure. First, check in the graph that, when x=0, f(0) =1.
Next, we must look at the table and see that, when x=1, g(1)=5. Hence,
g(f(0))=5
<span>If this statement is a True or False question.
Then, TRUE. A "b" value of less than 1 produces a graph with exponential decay.
We consider this formula: y = a*b^x or f(x) =a*b^x
a is the initial value, b is the rate, x is the exponent.
If b has a value of less than 1, as the exponent increases the resulting value of y decreases.
f(x) = 20(0.90)^x
f(1) = 200(0.90)</span>¹ = 180
f(2) = 200(0.90)² = 162
f(3) = 200(0.90)³ = 145.80
f(4) = 200(0.90)⁴ = 131.22
f(5) = 200(0.90)⁵ = 118.10
Exponential decay is the decrease in a quantity. As you can see in the given example the value of f(x) decreases as the value of x increases because the value of b is less than 1.
