Function f(x) is represented on the graph. Which statement identifies the effect of replacing f(x) with 1/2f(x) on the graph? A)The curve would remain the same size but would be flipped upside down. B)The curve would remain the same size but would shift to the left. C)The curve would be narrower, but the vertex would be in the same position. D)The curve would be wider, but the vertex would be in the same position.
Answers
Answer:
Option (D)
Step-by-step explanation:
If a function f(x) is represented on a graph and we follow the transformation as,
f(x) →
1). If k ≥ 1, graph of the parent function f(x) will be stretched vertically by a factor k.
That means the transformed graph will be narrower.
2). If 0 < k < 1, graph will be vertically compressed or the transformed function will show a wider graph.
Following this rule,
f(x) → shows k =
[Since 0 <
< 1]
Therefore, transformed form will be wider.
Option (D) will be the answer.
Related Questions
Sabella's parents are starting a college fund for her today, on her fifth birthday. Assuming they make no additional deposits or withdrawals, if they want to give her 50,000 Brazilian Real on her eighteenth birthday, how much do they need to deposit now if the bank is offering an interest rate of 5.5%, compounded monthly? a) Approximately 21,206 Brazilian Real b) Approximately 24,527 Brazilian Real c) Approximately 28,818 Brazilian Real d) Approximately 32,122 Brazilian Real
Can a triangle have sides with the given lengths ?
A number with two decimals places is multiplied by a whole number. The product has only two digits. How can you follow the correct procedure for placing the decimal point in the product.
Find the equivalent to x^7
18x-15y=20?
Answers
slope equals -18/-15 =6 over 5
Answers
The mathematical expression for the given situation is 3x-28.
The given statement is "The difference between three times a number and 28".
What is an expression?
An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it.
Steps to convert word problem into expression:
- Understand each word used to describe the issue.
- Understand what you need to look for.
- Convert the issue into an expression.
- Give the unknown a variable (or variables) to represent it.
- Indicate exactly what the variable stands for.
Let the unknown number be x.
According to the question, the expression is 3x-28
Therefore, the mathematical expression for the given situation is 3x-28.
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Answer:
3x-28
Step-by-step explanation:
"The difference" means subtract.
"Three times" means multiply by three.
"A number" means use any variable (I prefer x).
1. Describe in words how the equation can be used to solve the problem.
2. Draw a graphical representation of the price equation, and illustrate how a solution could be found that way.
Answers
Let
P-------> the price in dollars of tickets
x------> the number of hours
we know that
-------> equation A
When will the price exceed $20.00?
Part 1) Describe in words how the equation can be used to solve the problem
Substitute the value of P equal to in the equation A and find the value of x
so
For
substitute in equation A
therefore
the answer Part 1) is
the price exceed when the time exceed
Part 2) Draw a graphical representation of the price equation, and illustrate how a solution could be found that way.
using a graphing tool
Draw the equation of the lines
the solution is the intersection both graphs
see the attached figure
the solution is the point
that means
for
2. This equation has the same format as an equation in slope intercept form. This makes it easy to graph.The y intercept will be 7 and the slope is 2. Using this information, it is easy to graph the equation and find a solution. The graph should look like the image I attached to this answer.
Answers
Convert everything to exponential form, and then use the rules for working with exponents.
cube root of 5 = 5^⅓
²√5 = 5^½
cube root of 5 to the power of 5 =5^(5/3)
Therefore, cube root of 5 multiplied by square root of 5 over cube root of 5 to the power of 5 = 5^(⅓ + ½ - (5/3)) = 5^{(2 + 3 - 10)/6} = 5^(-5/6)
The answer should be 5 to the power of negative 5 over 6
Answer:
5^-5/6 d
Step-by-step explanation:
O A. – 16x4
O B. -8x4
O C. -2xt
O D. 84
O E. 16x4
Answers
Answer:
The answer should be -8x
Step-by-step explanation:
You would use distiputive property and multiple four by negitive two and you would end up getting -8x
Answers
Answer: Probability that a student is absent given that today is Monday is 0.15.
Step-by-step explanation:
Since we have given that
Probability that it is Monday and that a student is absent P(M∩A) =
Number of school days in a week = 5
Probability that a randomly selected day of the school week is Monday = P(M)=
We need to find the probability that a student is absent given that today is Monday.
We will use "Conditional Probability":
Hence, Probability that a student is absent given that today is Monday is 0.15.
Final answer:
The probability that a student is absent given it's Monday is 0.15 or 15%.
Explanation:
From the problem, it's given that the joint probability of it being Monday and a student being absent is 3/100. The probability that a randomly selected day of the school week is Monday is 1/5, as there are 5 school days in a week (not 55 as stated in the question). Using these probabilities, we can find the conditional probability that a student is absent given that today is Monday, using Bayes' theorem.
To apply Bayes' theorem, we divide the joint probability by the probability of the given condition. This results in (3/100) / (1/5) = (3 / 100) * (5 / 1) = 15/100 = 0.15.
Therefore, the probability that a student is absent given that it's Monday is 0.15 or 15%.
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