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cestrela7 [59]
3 years ago
5

Calculate the average rate of change of

Mathematics
1 answer:
Arlecino [84]3 years ago
6 0
Avg rate of change is given by change in f(x) over change in x, in other words:

\displaystyle \frac{f(x_2)-f(x_1)}{x_2-x_1}, x_2 > x_1

Substituting the function and your values of x gives:

\displaystyle \frac{f(3)-f(-5)}{3-(-5)} = \frac{(-3(3)^2+4(3))-(-3(-5)^2+4(-5))}{8} = \frac{-15+95}{8} \\
= \frac{80}{8} = \boxed{10}
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A recipe for 1 loaf of banana bread uses 34 cup of bananas.
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Answer: yes

Step-by-step explanation:

Each loaf uses 34 cups

1 loaf 114-34= 80 cups left

2nd loaf 80-34= 46 cups left

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Irrational conjugate theorem
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The irrational conjugate theorem states that if a polynomial equation has a root (a + √b), then we can say that the conjugate of (a + √b), i.e. (a - √b) will also be another root of the polynomial.

Step-by-step explanation:

The irrational conjugate theorem states that if a polynomial equation has a root (a + √b), then we can say that the conjugate of (a + √b), i.e. (a - √b) will also be another root of the polynomial.

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3 years ago
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2 years ago
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Find the equation of the line that is perpendicular to y = –2x + 5 and contains the point
ivann1987 [24]

The given equation is: y+2x=5

To find the line perpendicular to it, we interchange coefficients and switch the signs of one coefficient.

The equation to a line perpendicular to it is:

$ 2y-x=c$

where, $c$ is some constant we have determine using the condition given.

It passes through $(2,-1)$

Put the point in our equation:

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The final equation is:

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