Answer:
y = 3x - 7
Step-by-step explanation:
Slope-intercept form:
y = mx + b
Where:
y is the y value.
m is the slope.
x is the x value.
And b is the y-intercept.
First, you want to find your slope. To do this, you can either use the slope formula to find the slope, or just count on the picture:
m = rise/run
m = 3/1
m = 3
With the slope formula, you first need to choose two points.
I chose:
(2, -1) and (3, 2)
Slope formula:
m = (y2 - y1) / (x2 - x1) {It doesn't matter which point you choose to be x2 and x1, just be consistent when you plug it into the formula}
m = (2 - (-1)) / (3 - 2)
m = 3/1
m = 3
Now that you have your slope, all you need is your y-intercept. To find your y-intercept, you can either look at the graph (again) to see where the line intersects with the y-axis, or you can solve it algebraically:
y-int = -7
To solve algebraically, choose a random point on the line and plug it into what you have for your equation so far and then solve for b.
I chose:
(2, -1)
y = 3x + b
-1 = 3(2) + b
-1 = 6 + b
-1 - 6 = b
b = -7
Now you have your final answer:
y = 3x - 7
Answer:
J Compound interest; $298.65
Step-by-step explanation:
Interest compounding pays interest on the interest. For the same annual rate, any amount of compounding will earn more interest.
For short time periods, the effect of compounding is not great. In general, it will be a fraction of the equivalent simple interest rate. Here, the effective multiplier for annual compounding is ...
1.051^4 = 1.22024337
and the effective multiplier for simple interest is ...
1 +0.051·4 = 1.204
Then the difference in interest rate multiplier for the 4-year period is ...
1.22024337 -1.204 = 0.01614337
That fraction of the $18500 principal is $298.65.
Compound interest earns $298.65 more than simple interest in this scenario.
Hope this helps, have an amazing day!
200 centimeters. Because there are 100 centimeters in a meter. <span />
Answer:
31 human cases.
Step-by-step explanation:
The least squares line equation for the number of reported dead birds (x), versus the number of human West Nile virus cases (y) is
y = -10.2638 + 0.0491x
If the number dead birds reported in a year is 844, then we have to find the numbers of human cases of West Nile virus.
To find the numbers we will plug in the value of x = 844 in the linear equation.
y = -10.2638 + 0.0491(844)
= -10.2638 + 41.4404
= 31.1766
≈ 31
Therefore, 31 human cases can be expected.
See each answer below.
1) If we subtract 7 from both sides and try to take the square root, we are taking the square root of -7. Therefore, there are no solutions.
2) Dividing by 3 and taking the square root gives an answer of 0.
3) Add 4, multiply by 4 and finally take the square root of each side.You will get positive or negative four.
4) Divide by 4 and then take the square root. You have positive or negative 5/2.
