3 years ago

Evaluate 3m2 -4 if m = -3

Mathematics

1 answer:

zhenek [66]3 years ago

8 0

Answer:

Step-by-step explanation:

$3m^{2} - 4 = 3 * (-3)^{2} - 4 = 3 * 9 - 4 = 27 - 4 = 23$

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Help! What is the average rate of change of f(x)=x^2+3x+6 over the interval -3 less-than-or-equal-to x less-than-or-equal-to 3?

Makovka662 [10]

Answer:

The average rate of change of the function over the interval is 5.

Step-by-step explanation:

Average rate of change of a function:

The average rate of change of a function f(x) over an interval [a,b] is given by:

$A = \frac{f(b)-f(a)}{b-a}$

Interval -3 less-than-or-equal-to x less-than-or-equal-to 3

This means that $a = -3, b = 3$

$f(x) = x^2 + 3x + 6$

$f(b) = f(3) = (3)^2 + 3(3) + 6 = 9 + 9 + 6 = 24$

$f(a) = f(-3) = (-3)^2 + 3(-3) + 6 = 9 - 9 + 6 = 6$

Average rate of change

$A = \frac{f(b)-f(a)}{b-a} = \frac{24+6}{3-(-3)} = \frac{30}{6} = 5$

The average rate of change of the function over the interval is 5.

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3 years ago

√−100 = ___ +_____i<br> ...

Natalija [7]

Answer:

Step-by-step explanation:

Rewrite this as

$\sqrt{(-1)(100)}$

Knowing that i-squared = -1:

$\sqrt{(i^2)(100)}$

Both i-squared and 100 are perfect squares, so this simplifies to

±10i

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3 years ago

Find the value of h

slamgirl [31]

Answer:

h = 48

because 32 + 3h + 4 = 180

32 + 4 = 36

36 + 3h - 36 = 180 - 36

3h = 144

3h/3 = 144/3

h = 48

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4 years ago

Find the slope of every line that is parallel to the graph of the equation. Y= 1/2x+4

Ostrovityanka [42]

For a line to be parallel it has to have the same slope as the original line. so the slope is 1/2

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3 years ago

Each question on a multiple-choice exam has four choices. One of the choices is correct, worth four points. Another choice is wr

kifflom [539]

Answer:A)0.75

Step-by-step explanation:

Given

There are four options to a question

out of which one is correct with 4 points

one is wrong but carries 1 point

Other two are wrong with a negative Point

Probability of selecting an option is $\frac{1}{4}$

Expected score $=\frac{1}{4}\times 4+\frac{1}{4}\times 1+\frac{1}{4}\times (-1)+\frac{1}{4}\times (-1)$

Expected score=1+0.25-0.5

Expected score=0.75

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3 years ago

Evaluate 3m2 -4 if m = -3​

Evaluate 3m2 -4 if m = -3