A) y = 2x – 7 and f(x) = 7 – 2xIncorrect. These equations look similar but are not the same. The first has a slope of 2 and a y-intercept of −7. The second function has a slope of −2 and a y-intercept of 7. It slopes in the opposite direction. They do not produce the same graph, so they are not the same function. The correct answer is f(x) = 3x2 + 5 and y = 3x2 + 5. B) 3x = y – 2 and f(x) = 3x – 2Incorrect. These equations represent two different functions. If you rewrite the first equation in terms of y, you’ll find the equation of the function is y = 3x + 2. The correct answer is f(x) = 3x2 + 5 and y = 3x2 + 5. C) f(x) = 3x2 + 5 and y = 3x2 + 5Correct. The expressions that follow f(x) = and y = are the same, so these are two different ways to write the same function: f(x) = 3x2 + 5 and y = 3x2 + 5. D) None of the aboveIncorrect. Look at the expressions that follow f(x) = and y =. If the expressions are the same, then the equations represent the same exact function. The correct answer is f(x) = 3x2 + 5 and y = 3x2 + 5.
The answer for the expression 0.5x=24 will be x=48
<h3>What is a linear equation?</h3>
The linear equation is defined as the equation having a degree of one or the power of the variable will be one. Linear equation shows the staright line on the graph.
here the given equation is:-
0.5x=24
We can write 0.5 in fraction as 1/2
1/2x=24
x=48
Hence the answer for the expression 0.5x=24 will be x=48
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The probability of selecting two jelly-filled donuts in a row is 1/ 22
<h3>What is probability?</h3>
Probability is simply the chance that a given event will occur.
It is also the ratio of the number of outcomes in a set of equally likely outcomes that produce a given event to the total number of possible outcomes.
From the information given, we have that the donuts are:
- 6 are jelly-filled
- 10 are lemon-filled
- 8 are custard-filled
Note that two jelly - filled donuts were taken without replacement
Probability( 2 jelly -filled donuts) = 6 / 24 × 4/ 22 = 24/ 24 × 22 = 1/ 22
Thus, the probability of selecting two jelly-filled donuts in a row is 1/ 22
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Answer:
The amount of chamomile tea that has to be used in order to obtain a mixture that costs $14.32 per pound is 8.997 pounds
Step-by-step explanation:
In order to find out the amount of chamomile tea that must be used in the mixture to obtain a 14.32 $ per pound, we can use an weighted average where the price points for each kind of tea are the weights and "c" is the amount of chamomile that we have to use in order to obtain the price per pound that we want. So we have:
(18.5*c + 12.23*18)/(c + 18) = 14.32
18.5*c + 220.14 = 14.32*(c+18)
18.5*c + 220.14 = 14.32*c + 257.76
18.5*c - 14.32*c = 257.75 - 220.14
4.18*c = 37.61
c = 8.997 lb
Answer:
a. The height is a function of age is denoted as
=> f(age) = age * constant
Step-by-step explanation:
The function f: Age ⇒ Height, where age is from the set Age and height is from the set Height.
The age is the independent variable whose value determines the value of the dependent variable height and the constant is a part of the equation and a number that does not change.
height = age * constant
f(age) = age * constant = height
Eg: if height = age * 3 , where f(5), the height or the f(age) of the height is;
f(5) = 5 * 3 = 15,
The height is 15.
