X Δx y Δy
3 1
1 1 - 3 = - 2 2 2 - 1 = 1
-1 -1 - 1 = -2 3 3 - 2 = 1
-3 -3 - (-1) = -2 4 4 - 3 = 1
So, as you see y in increasing in regular constant intervals, when x also increases in regular constant intervals. => Δy / Δx = constant.
That is the result of a linear function, not an exponential one.
So, the true statement is given by the option <span>(A) No; the domain values are at regular intervals and the range values have a common sum 1. </span>
Answer:
Sarah is 13 years old
Step-by-step explanation:
Represent Sarah's age with S
Her first brother's age with F
Her second brother's age with B
So, we have:
From the first statement, we have:
---- (1)
From the second, we have:
---- (2)
The product of their ages is 40.
First, we make F the subject in (1) and B the subject in (2)
Their product is represented as follows:
Substitute values for F and B
Open bracket
Subtract 40 from both sides
Factorize:
Split:
or 
But Sarah's age can't be 0 because she has two younger brothers.
So, we stick to
Make S the subject
<em>Hence, Sarah is 13 years old</em>
Answer:
The answer is letter B, The water level in a bathtub as it drains over time.
Step-by-step explanation:
It is best to learn the meaning of <u>"negative correlation"</u> first.
Correlation- In Mathematics, "correlation" means a measure of the relationship between two variables.
<em>Positive Correlation- </em>when the values of the variables increase together.
<em>Negative Correlation- </em>when one value of a variable increases while the other variable's value decreases.
*The situation above is asking for a negative correlation, therefore the answer is letter B (The water level in a bathtub as it drains over time).
The variables are: <u>water level and draining time</u>
As the draining time increases, the water level in the bathtub decreases. This is clearly an example of a negative correlation.
