Answer:
first method
subtract 5 from both side
2x + 5 -5 = 12 - 5
:. 2x = 7
:. X= 2
7
divide 2 from both side
X= 2x 7
2 2
:. X= 3.5
second method
2x = 12 - 5
2x = 7
X= 2 ÷ 7
:. X= 3.5
Doug is 5 years old.
5 + 3 = 8
5 × 8 = 40
Answer:

Step-by-step explanation:
The equation of the slope of the tangent line L is obtained by deriving the equation of the hyperbola:


The numerical value of the slope is:

The component of the y-axis is:

Now, the tangent line has the following mathematical model:

The value of the intercept is found by isolating it within the equation and replacing all known variables:


Thus, the tangent line is:

The vertical distance between a point of the tangent line and the origin is given by the intercept.

In order to find horizontal distance between a point of the tangent line and the origin, let equalize y to zero and clear x:




The area of the triangle is computed by this formula:



This question is incomplete.
The complete question says;
The two-way table shows the number of hours students studied and whether they studied independently or with a study group.
What is the relative frequency of students that studied independently for more than 2 hours to the total number of students that studied independently?
a) 0.4 c) 0.25
b) 0.33 d) 0.11
Table is attached as image
Answer: C (0.25)
The number of students that studied for more than 2 hours as given in the table are 4.
The total number of people that studied independently include those that studied less than 2 hours and those that studied for more than 2 hours.
Those that studied less than 2 hours independently are 12.
Those that studied more than 2 hours independently are 4.
Hence the total number of people that studied independently is 16.
Therefore the relative frequency of students that studied independently for more than 2 hours to the total number of students that studied independently would be = 4/16 = 1/4 = 0.25.
Answer:
The numbers:
1, -3, 2, -9, 3, -15, 4, -21,
are not linear.
Step-by-step explanation:
If it was linear:
4, 3, 2, 1, -3, -9, -15, -21