Answer:
-10
Step-by-step explanation:
-(x-5) ^2+25
-x+5^2+25
-5 -5
-x^2+20
-2x+20
---- ----
-2 -2
x=-10
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Answer:
mean 11.14
Median 10
mode 10.
Explanation
Mean is sum of data divide by number of data.
Mode is the most appearing number.
In this sum we will calculate using the simple interest.
Simple interest is calculated from the formula :
I = PRT
where I is the interest, P is the principal, R is interest rate per year and t is time in years.
I = 2000 × 3 % x 2
We have to turn 3% to its decimal fraction which is 0.03, so:
I = 2000 × 0.03 × 2
I = 60 × 2
I = 120
Therefore the interest earned in two years will amount to 120 $
First find the slope of the given line:
4x +2y = 1
Subtract 4x from each side:
2y = -4x + 1
Divide both sides by 2:
y = -2x +1/2
The slope is -2.
Now use the slope to find the y-intercept. Because the line is perpendicular, you need to use the negative inverse of the slope.
The negative inverse of -2 is 1/2
Now using the point-slope form y - y1 = m(x-x1)
Use the inverse slope for m, and the given point(-4,3) to get:
y - 3 = 1/2(x+4)
Simplify:
y - 3 = x/2 +2
Add 3 to each side:
y = x/2 + 5
Reorder the terms to get y = 1/2x +5
The answer is D.
Answer:
Step-by-step explanation:
As you can observe in the image attached, the line that best fits passes through point B and C. That means we can use those point to find the slope of such line.
Where 
and 
So, the slope of the line that best fits is -11, approximately.
Now, we use the point-slope formula to find the equation.
Therefore, the line that best fits is approximately.
Remember, when we estimate a line for some data on a scatterplot, we are calculating an approximation, that's why we also said "approximately", because the line is an approximation where the majority of point meet.
