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.

Answer: 9cm
Step-by-step explanation:

4(x)=4x
1.) 70+4x=106 (subtract 70 on both sides)
2.)4x=36 (divide 4 on both sides)
3.)x=9
Answer: choice D 1/2
Step-by-step explanation:
Events A and B are independent if the equation P(A∩B) = P(A) · P(B) holds true.
so
1/6=1/3*p(A)
p(A)=1/2
Answer:
see below
Step-by-step explanation:
1. 2+5x=4x+7
5x-4x=7-2
x=5
2. 4x-5=1+3x
4x-3x=1+5
x=6
3. 8-5x-4=-6x+6
-5x+6x=6-8+4
x=2
4. 4x+8+2x=5x-1
6x-5x=-1-8
x= -9
Answer:
Step-by-step explanation:
x² - 24x + 5 = 0
x² - 24x = -5
Now divide the co efficient of x by 2 and square the quotient and add to both sides
24/2 = 12
12² = 144. Now add 144 to both sides of the equation.
x² - 24x + 144 = 5 + 144
x² - 24x + 144 = 149
x² - 2*12*x + 12² = 149
(x - 12)² = 149
Both sides take square root
x - 12 = ±√149
x = 12 ± √149