The graph shows two exponential functions. Choose the correct statement concerning their bases
1 answer:
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Answer:
A) 200 is to 300 dollars
B)150 is to 350 dollars
C) 250 is to 250
Step-by-step explanation:
Part A) We want to divide $500 in the ratio 2:3 using the unitary method.
The total ratio is 2+3=5.
This means one unit is =$100
Therefore $500 in the ratio 2:3 is 2*100=200 to 3*100=300
Part B) We want to divide $500 in the ratio 3:7 using the unitary method.
The total ratio is 3+7=10.
This means one unit is =$50
Therefore $500 in the ratio 3:7 is 3*50=150 to 7*50=350
Part C) We want to divide $500 in the ratio 1:1 using the unitary method.
The total ratio is 1+1=2.
This means one unit is =$250
Therefore $500 in the ratio 1:1 is 1*250=250 to 1*250=250
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
Remember that in a quotient, the denominator cannot be equal to zero
so
The value of x cannot be equal to x=-2
Simplify the expression
Using a graphing tool
The roots of the quadratic equation in the numerator are
x=-2 and x=1
so
Simplify the denominator
substitute in the original expression
Simplify
Is the equation of a line
The y-intercept is the point (0,-3) (value of the function when x is equal to zero)
The x-intercept is the point (1,0) (value of x when the value of the function is equal to zero)
Graph the line, but remember that the value of x cannot be equal to -2
The graph in the attached figure
Answer: 1.960
Step-by-step explanation:
The value of z we use to calculate a confidence interval with a () confidence level is a two-tailed test value i.e. represented by :-
Given : The level of confidence:
Then, significance level :
With the help of standard normal distribution table for z , we have
Hence, the value of z should be used to calculate a confidence interval with a 95% confidence level =1.960