Answer:
The value of k remains constant for table 2
Step-by-step explanation:
Given tables of X values and Y values
To find which tables show the property of direct proportional:
Since Y is direct proportion to X
We write,
y=kx [Equation]
where k is constant of proportion.
Therefore, If the value of k remains constant for any table then, that table shows a direct proportion between y and x values.
For first table :
Now,
when x=1, y=3
Putting into Equation
y=kx
3=k(1)
k=3
Similarly, other calculations are carried out and put it into the form of a table
Note: Figure show tables of given and their respective k values.
Thus, the value of k remains constant for table 2
Answer:
The axis of symmetry is x = 6
Step-by-step explanation:
To find this, first find the two x-intercept values and then take the average. This will always be the line of symmetry.
x + 9 = 0
x = -9
x - 21 = 0
x = 21
Now take the average of these two numbers.
(-9 + 21)/2
12/2
6
The answer is 3 beautiful lady
1 quart = 2 pints.
This means a 4 pint container is 2 quarts.
To find the price for 1 quart divide the price by 2:
12.04 / 2 = $6.02 per quart.
Answer:
15.15% probability that both months (different) have less than 31 days.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Also, the order of the months is not important. For example, picking July and August is the same as picking August and July. So the combinations formula is used to solve this problem
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
There are 12 months, of which February, April, June, September and November, that is, 5 of them, have less than 31 months.
Desired outcomes:
Picking 2 months from a set of 5(those with less than 31 days). So
Total outcomes:
Picking 2 months from a set of 12(all the months). So
Probability:
15.15% probability that both months (different) have less than 31 days.
