Rewrite the equation y=2|x−2|+4 as two linear functions f and g with restricted domains.
Answers
The two linear functions for the given mode function y = 2|x - 2| + 4 will be y = -2x + 8 and y = 2x.
What is a linear function?
A straight line on the coordinate plane is represented by a linear function.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
In another word, a linear function is a function that varieslinearly with respect to the changing variable.
As per the given mode function,
y = 2|x - 2| + 4
For x < 2 , |x - 2| = -(x - 2)
y = -2(x - 2) + 4
y = -2x + 4 + 4
y = -2x + 8
For x > 2, |x - 2| = x - 2
y = 2(x - 2) + 4
y = 2x - 4 + 4
y = 2x
Hence "The two linear functions for the given mode function y = 2|x - 2| + 4 will be y = -2x + 8 and y = 2x".
For more about the linear function,
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Answer:
f(x) = -2x + 8, x < 2
g(x) = 2x, x 》2
Step-by-step explanation:
|x - 2| is:
x - 2, for x 》2
-x + 2, for x < 2
For x < 2,
f(x) = 2(-x + 2) + 4
f(x) = -2x + 8
For x 》2,
g(x) = 2(x - 2) + 4
g(x) = 2x
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How do i solve log6(25)-log6(5)
Answers
answer:
3b²
step-by-step explanation:
(5a² - b²) - (4a² + 3b²) - (a² - 7b²)
= 5a² - b² - 4a² - 3b² - a² + 7b²
- combine like terms
= 3b²
Part B: Use the same method to find the amount Peter would save on a $64 coat that is on sale for 40% off
Answers
Step-by-step explanation:
Hello!
Part A
Peter can use the fact that 10% of 87 is 8.70 to find the amount he would save because 40% is just 4 times bigger than 10% so he can take 8.70 from to total of the coat 4 times to find out how much it cost.
Part B
Using the same method we know that 10% of 64 is 6.40 so we subtract that from the price of the coat 4 times to find out how much it cost
64 - 6.40 = 57.6
57.6 - 6.40 = 51.2
51.2 - 6.40 = 44.8
44.8 - 6.40 - 38.4
The price of the coat is $38.4
Hope this helps!
Answers
85g * (0.035274oz / 1g) = 2.99829 oz.
Therefore, 3 oz is heavier than 85 g.
B.12 = 9 + 3x
C.6 + 30 = 62
D.ax – by = k
Answers
ANSWER
is an example of literal equation.
EXPLANATION
A literal equation is an equation in which letters or variables are used to represent real values.
A literal equation consists of at least two letters or variables.
The first option consists of two variables but it is not an equation. It is just an expression.
The second option is not a literal equation because it consists of only one variable. This is just a linear equation in one variable. But a literal equation should have at least two variables or letters.
As for the third option, it does not even contain a variable or letter.
#no irrelevant answer
Answers
Given:
- A number is selected at random from the numbers 1 to 25.
- Each of the given numbers is equally likely to be selected.
To Find:
- Probability that the number is not a prime number.
Solution:
Required Sample space of the following event ( Non- prime numbers between 1 to 25 )
1, 4, 6, 8,9 10,12, 14, 15, 16,18, 20, 21, 22, 24, 25
Number of Favourable Outcomes = 16
Total number of outcomes = 25
Now as we know
Probability of an event =
Probability = 16/25
Hence, probability that the number is not a prime number is 16/25.
Answer:
Favourable outcomes = {1,4,6,8,9,10,12,14,15,16,18,20,21,22,24,25}
Number of favourable outcomes=16
Number of total possible outcomes=25
p(not a prime) = (number of favourable outcomes) / number of total possible outcomes
=16/25
B. 70%
C. 50%
D. 49%
Answers
The theoretical probability has nothing to do with the experiments. So, we will forget results of the experiment and think about theoretical probability. A coin has two sides - head and tail. The probability to get head is 1/2 = 0.5 = 50%. This is because if you toss the coin and you get head, head is one probability of two probability in total (head and tail). The same situation is with tail. Tail is .one probability of two probability in total (head and tail).