The expression in A is equal to:
y = 8 + 3x
It can be observed that the equation is in the slope-intercept form which is equal to,
y = mx + b
where m is slope and b is intercept.
The slope and intercept therefore of this equation of the line are equal to 3 and 8, respectively.
For Part B:
The slope of the line can be calculated through the equation,
m = (y₂ - y₁) / (x₂ - x₁)
Substituting,
m = (5 - 2)/ (0 - -1) = 1.5
The intercept, b, is the value of y when x = 0. From the tabulation, y = 5 when x = 0. Thus, the intercept is equal to 5.
Comparing the slopes and intercepts of the equations, we can say that the slope of the second is only half that of the first and the intercept of the second is 3 less than that of the first equation.
Answer:
10 three-point questions and 14 five-point questions.
Step-by-step explanation:
x+y = 24
3x+5y = 100
We can solve this system of equations using elimination. In order to do this, let's first multiply the first equation by 3...
3x+3y=72
3x+5y=100
Now, subtract the first equation from the second equation...
2y=28
Divide both sides by 2
y=14
Plug this back into any of the equations to solve for x...
x+14=24
x=10
There were 10 three-point questions and 14 five-point questions
Answer:216
Step-by-step explanation:
We let x to represent the number of other nuts
Peanut : other
5 : 3
360 : X
Then we cross multiply
5 × x = 360 × 3
5X = 1080
Divide bothside by 5
5X/5 = 1080/5
X = 216
Therefore the number of other nuts in the can is 216.
The payment would be $198.01 and the total interest would be $1,880.75. Pretty straightforward with a financial calc. I can show you the keystrokes if you want, just message.
(6, 31+2pi degrees)
(6, 31+4pi degrees)
(-6, 31-pi degrees)
(6, 31-2pi degrees)
etc. etc.
