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3 years ago

Select all the correct expressions in the table which expressions are equivalent to the given complex number 45+2i

Mathematics

1 answer:

aksik [14]3 years ago

6 0

Answer:

its gonna be the second one down on the left!! i can give an explanation if ur having trouble

Step-by-step explanation:

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What is the reasonable estimate for -3/2 x -5 1/4

Lady bird [3.3K]

Answer:

7.875......7.9.....or 8

Step-by-step explanation:

-3÷2×-21÷4= 7.875

63÷8=7.875

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3 years ago

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The nth term of a sequence is 3n + 2

gavmur [86]

Answer:

see explanation

Step-by-step explanation:

To calculate the first 3 terms substitute n = 1, 2, 3 into the n th term rule

$a_{1}$ = (3 × 1) + 2 = 3 + 2 = 5

$a_{2}$ = (3 × 2) + 2 = 6 + 2 = 8

$a_{3}$ = (3 × 3) + 2 = 9 + 2 = 11

------------------------------------------------------------------

substitute n = 10 into the n th term rule

$a_{10}$ = (3 × 10) + 2 = 30 + 2 = 32

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3 years ago

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Answer from least to greatest 9 -11 -8 12 3

Thepotemich [5.8K]

$\begin{gathered} -11 \\ -8 \\ 3 \\ 9 \\ 12 \end{gathered}$

remember a number is least when

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1 year ago

Saul works at the local car dealership. He makes 2% commission on all sales. He sells a car worth $20,000. What is his commissio

Gala2k [10]

<span>Saul works at the local car dealership.
=> He makes 2% commission on all sales.
=> He sells a car worth $20,000.
Question: What is his commission
=> We need to get the 2% value of 20 000 dollars for his commission. To do that simply convert 2% into decimal value then multiply it with 20 000 dollars.
=> 2% / 100% = 0.02
=> 20 000 * .02 = 400 dollars is his commission.</span>

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3 years ago

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What is the average rate of change of f(x) = -x2 + 3x + 6 over the interval –3

Rufina [12.5K]

Answer:

$\frac{\Delta y}{\Delta x} =\frac{f(x_2)-f(x_1)}{x_2-x_1} =\frac{6-(-12)}{3-(-3)} =\frac{18}{6}= 3$

Step-by-step explanation:

To find the average rate of change of a function over a given interval, basically you need to find the slope. The mathematical definition of the slope is very similar to the one we use every day. In mathematics, the slope is the relationship between the vertical and horizontal changes between two points on a surface or a line. In this sense, the slope can be found using the following expression:

$Average\hspace{3}rate\hspace{3}of\hspace{3}change=Slope=\frac{y_2-y_1}{x_2-x_1} =\frac{f(x_2)-f(x_1)}{x_2-x_1}$

So, the average rate of change of:

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

Over the interval $-3$

Is:

$f(x_2)=f(3)=-(3)^2+3(3)+6=-9+9+6=6\\\\f(x_1)=f(-3)=-(-3)^2+3(-3)+6=-9-9+6=-12$

$\frac{\Delta y}{\Delta x} =\frac{f(x_2)-f(x_1)}{x_2-x_1} =\frac{6-(-12)}{3-(-3)} =\frac{18}{6}= 3$

Therefore, the average rate of change of this function over that interval is 3.

3 0

3 years ago

Select all the correct expressions in the table which expressions are equivalent to the given complex number 45+2i￼

Select all the correct expressions in the table which expressions are equivalent to the given complex number 45+2i