The formula to find the slope of a line is m=(y2-y1)/(x2-x1). In this question: x1=3, x2=2, y1=5, and y2=1. Plug in and solve:
(1-5)/(2-3)=-4/-1=4=m
Slope-intercept form follows the format: y=mx+b, where m is the slope and b is the y-intercept. We calculated m to be 4, so the equation reads:
y=4x+b
To solve for b, you can select one of the ordered pairs (we'll use (2,1)), plug them in for x and y, and solve for b:
1=4(2)+b
1=8+b
-7=b
The equation is y=4x-7.
Hope this helps!!
Answer:
3 girls and 4 boys
Step-by-step explanation:
Writing the number of girls in the family as g and the number of boys in the family as b,
we know that each girl has twice as many brothers as sisters. Therefore, the amount of boys in the family (b, or how many brothers each girl has) is twice the number of the amount of girls in the family (g) minus 1 (g-1) (subtract 1 because each girl's number of sisters does not include the girl herself). We can write this as
b = 2(g-1)
Next,
we know that each boy has the same amount of brothers as sisters. Therefore, the amount of boys in the family minus 1 (b-1, subtracting 1 because we don't include the boy that has the brothers) is equal to the amount of girls in the family (g). we can write this as
b-1 = g
Therefore, we have
b = 2(g-1)
b-1 = g
Plugging b-1 = g into the first equation, we get
b = 2 (g-1)
2(g-1) = 2((b-1) - 1) = b
= 2(b-1-1)
= 2(b-2)
= 2b-4
b = 2b-4
subtract 2b from both sides to make it so that only b values and their coefficients are on one side
-b = -4
multiply both sides by -1 to solve for b
b=4
Therefore, there are 4 boys in the family and b-1 = 4-1 = 3 girls in the family.
Answer:
1. Data point A
4. Data point D
Step-by-step explanation:
In a scatter plot, the closer the clustered data points are close to the best line of fit, the greater the correlation that would exist between the two variables.
If we are to draw a best line of fit in the scatter plot that is shown above, the closest data points amongst data points A, B, C, D, and E, that would be close to the best line of fit are data points A and D.
Therefore, removing data point A and point D would cause the correlation to decrease the most.
"C" would be the correct answer.
y>2x
y>3
Plug in the points. (1,5)
5>(2*1)
5>2 That is correct.
5>3 That is correct.
I hope this helps!
~cupcake
Answer: x^3 - 1/x^3 - 2x + 2/x
It cannot be factorized.
Step-by-step explanation: