Answer:
-3.74
Step-by-step explanation:
Answer:
<u>Linear relationship</u>: increasing or decreasing one variable will cause a corresponding increase or decrease in the other variable.
<u>Inverse relationship</u>: the value of one variable decreases as the value of the other variable increases.
<u>Exponential relationship</u>: a constant change in the independent variable (x) gives the same proportional change in the dependent variable (y)
<u>Question 5</u>
As the x-value increases (by one unit), the y-value decreases.
Therefore, this is an inverse relationship.
The y-values are calculated by dividing 35 by the x-value.
**I believe there is a typing error in the table and that the y-value of x = 3 should be 11.67**
<u>Question 6</u>
As the x-value increases, the y-value increases. The y-value increases by a factor of 5 for each x-value increase of 1 unit.
Therefore, this is an exponential relationship.
See below for the proof of the equation
<h3>How to prove the equation?</h3>
The equation is given as:
Take the LCM
Expand
Evaluate the like terms
Rewrite as:
Factorize the numerator
Divide
2(a - b)= 2(a - b)
Both sides are equal
Hence, the equation has been proved
Read more about equations at:
brainly.com/question/2972832
#SPJ1
16, 5, 25, 6, 36, 7, 49, 8, 64, 9, 81, 10, 100
The pattern is starting at 1 then squaring it. Then, you move to the next number after one, then square it, and so on.
Answer:
470 cm³
Step-by-step explanation:
Volume of rectangular prism = width × length × height
⇒ Volume of whole rectangular prism = 9 cm × 10 cm × 8 cm
= 720 cm³
Side lengths of the missing piece:
- width = 5 cm
- length = 10 cm
- height = 8 cm - 3 cm = 5 cm
⇒ Volume of the missing piece = 5 cm × 10 cm × 5 cm
= 250 cm³
⇒ Volume of irregular figure = 720 cm³ - 250 cm³
= 470 cm³