Complete Question:
If the point (2, 5) is a solution to the system of equations shown below, then determine the missing values of b and m. Show how you arrive at your answer.
1. y = 3x + b
2. y = mx + 9
Answer:
1. Intercept, b = -1
2. Slope, m = -2
Step-by-step explanation:
Given the following data;
Points on the line (x, y) = (2, 5)
To find the missing values;
Mathematically, the equation of a straight line is given by the formula;
y = mx + b
Where;
- m is the slope.
- x and y are the points
- b is the intercept.
1. y = 3x + b
Substituting the value of x and y, we have;
5 = 3(2) + b
5 = 6 + b
b = 5 - 6
<em>Intercept, b = -1</em>
2. y = mx + 9
Substituting the value of x and y, we have;
5 = m(2) + 9
5 = 2m + 9
2m = 5 - 9
2m = -4
m = -4/2
<em>Slope, m = -2</em>
Answer:
A, or 50.24 ft.
Step-by-step explanation:
Doing the equation above, we know the radius of the circle, which is 8 ft.
8ft times 2 is 16ft.
16ft times pi gives us (rounded) 50.24 ft.
Step one rewrite: -46-8x>22
Add 46 to both sides: -8x>68
Divide both sides by -8 to isolate x<-8.5
(remember to flip the inequality sign when multiplying or dividing by negative numbers in inequality problems)
So the correct answer is B. x < -8.5
There are 365 days in a year, 365 multiplied by 4 cups a day... the answer is 1,460 cups went down the drain in a year.
Here, hope this helps :)
Answer:
Equation which can be used to find the number of weekly payments w
is 300 = 60 + 3 w.
Step-by-step explanation:
Here, the selling price of the TV =$300
The initial TV payment = $60
Per week payment of TV = $30
The number of weeks, the payment is made = w
So, the amount paid for TV in w weeks = w x ( Payment in 1 week)
= w x ( $30) = 30 w
So, The total SP of TV = Initial Payment + Payment made in w weeks
⇒ 300 = 60 + 3w
Hence, equation which can be used to find the number of weekly
payments w is 300 = 60 + 3 w.
