Answer: It is possible to draw different lines to approximate the same data. The line of best fit is only an estimate.
Answer:
y"(2, 1) = -5
Step-by-step explanation:
Step 1: Define implicit differentiation
5 - y² = x²
Step 2: Find dy/dx
- Take implicit differentiation: -2yy' = 2x
- Isolate y': y' = 2x/-2y
- Isolate y': y' = -x/y
Step 3: Find d²y/dx²
- Quotient Rule: y'' = [y(-1) - y'(-x)] / y²
- Substitute y': y" = [-y - (-x/y)(-x)] / y²
- Simplify: y" = [-y - x²/y] / y²
- Multiply top/bottom by y: y" = (-y² - x²) / y³
- Factor negative: y" = -(y² + x²) / y³
Step 4: Substitute and Evaluate
y"(2, 1) = -(1² + 2²) / 1³
y"(2, 1) = -(1 + 4) / 1
y"(2, 1) = -5/1
y"(2, 1) = -5
Answer:
y = 2 * 9 ^ x
Step-by-step explanation:
From the first point, you can get the value of a, since any number with power 0 with always equal to 1
Now you have y = (2)(b ^x), use the second point, substitute the value of X and y to (3,1458) to get the B value.
- 1458 = 2b ^ 3
- 729 = b ^ 3
- B = 9
Jason's monthly pension is the product of the final three-year average salary is $32,625. Then the correct option is C.
<h3>What is a
monthly pension?</h3>
Jason is planning on retiring after 25 years of employment.
For the last three years he has made $60,000; $56,000; and $58,000.
His employer offers a defined benefit plan in which the annual pension is calculated as the product of the final three-year average salary, the number of years of service, and a 2.25% multiplier.
Then Jason's monthly pension will be
More about the monthly pension link is given below.
brainly.com/question/14271336
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Answer:
MN : QR
LN : PQ
LM : PR
Step-by-step explanation:
The ratio seems to be 1 : 2.2
So the corresponding sides are:
MN : QR
LN : PQ
LM : PR
