Answer:
Rate of change = -1
Step-by-step explanation:
Given:
f(x) = -½(x + 2)² + 5
Required:
Average rate of change from x = -3 to x = 1
Solution:
Rate of change =
Where,
a = -3,
f(a) = f(-3) = -½(-3 + 2)² + 5 = -½(-1)² + 5 = 4.5
b = 1,
f(b) = f(1) = -½(1 + 2)² + 5 = -½(9) + 5 = 0.5
Plug in the values into the formula:
Rate of change =
Rate of change =
Rate of change = -1
Answer:
The correct option is B)
Step-by-step explanation:
Consider the provided function.
and
We need to divide f(x) by d(x)
As we know: Dividend = Divisor × Quotient + Remainder
In the above function f(x) is dividend and divisor is d(x)
Divide the leading term of the dividend by the leading term of the divisor:
Write the calculated result in upper part of the table.
Multiply it by the divisor:
Now Subtract the dividend from the obtained result:
Again divide the leading term of the obtained remainder by the leading term of the divisor:
Write the calculated result in upper part of the table.
Multiply it by the divisor:
Subtract the dividend:
Divide the leading term of the obtained remainder by the leading term of the divisor:
Multiply it by the divisor:
Subtract the dividend:
Therefore,
Dividend =
Divisor =
Quotient =
Remainder = 0
Dividend = Divisor × Quotient + Remainder
Hence, the correct option is B)
Answer:
a=8
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 +b^2 = c^2 where a and b are the legs and c is the hypotenuse
a^2 +15^2 = 17^2
a^2 +225 = 289
Subtract 225 from each side
a^2 +225-225=289-225
a^2 = 64
Take the square root of each side
sqrt(a^2) = sqrt(64)
a = 8
Answer:
the yo u thichi cutis lo u you
They are equal its just rounded up to one decimal place