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3 years ago

13

Which complex number is represented by the point graphed on the complex plane below?

2 answers:

Vlad [161]3 years ago

8 0

Answer is C on 3dgenuity

Evgen [1.6K]3 years ago

5 0

Answer: The answer is (c) 3 - 4i.

Step-by-step explanation: We are given a point located on the complex plane and we are to select the correct complex number that is represented by this point.

We can see that the co-ordinates of the point on the plane are (3, -4).

Since the point (a, b) can be written in the form a + bi, where 'a' is the measurement along X-axis and 'b' is the measurement along Y-axis, so the point (3, -4) an be written in the following form:

(3, -4) = 3 + (-4)i = 3-4i.

Thus, (c) is the correct option.

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HELPPP ASAPPP!! 50 POINTS!!!

OleMash [197]

Answer:

Part 1)

The possible multiplicities are:

$x=-7$ multiplicity 1

$x=-3$ multiplicity 3

$x=2$ multiplicity 1

$x=5$ multiplicity 2

Part 2

The factored form is

$p(x)=(x+7)(x+3)^3(x-2)(x-5)^2$

Step-by-step explanation:

Part 1.

The missing diagram is shown in the attachment.

The zeroes of the seventh degree polynomial are the x-intercepts of the graph.

From the graph, we have x-intercepts at:

$x=-7$ , $x=-3$ , $x=2$ , and $x=5$ .

The multiplicities tell us how many times a root repeats.

Also, even multiplicities will not cross their x-intercept, while odd multiplicities cross their x-intercepts.

The possible multiplicities are:

$x=-7$ multiplicity 1

$x=-3$ multiplicity 3

$x=2$ multiplicity 1

$x=5$ multiplicity 2

Note that the total multiplicity must equate the degree.

Part 2)

According to the factor theorem, if $x=a$ is a zero of p(x), then $(x-a)$ is a factor.

Using the multiplicities , we can write the factors as:

$x+7$

$(x+3)^3$

$(x-2)^1$

$(x-5)^2$

Therefore the completely factored form of this seventh degree polynomial is $p(x)=(x+7)(x+3)^3(x-2)(x-5)^2$

4 0

4 years ago

What is the answer to 2(x-3)-4(x+3)

Lyrx [107]

Step-by-step explanation:

2 (x-3)-4 (x+3)

2x-6-4x-12
-2x-18
-2(x+9)

7 0

3 years ago

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If 12 juice boxes cost 4.20 how much do 15 cost

marin [14]

Answer:

5.25

Step-by-step explanation:

4.20 ÷ 12 = 0.35

0.35 x 15 = 5.25

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3 years ago

Evaluate the expression when a=2 and b=4<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bb%20%7B%7D%5E%7B2%7D%20-%202a%20%7D%2

12345 [234]

Answer:

6

Step-by-step explanation:

Substitute a = 2 , b = 4 into the expression

$\frac{b^2-2a}{a}$

= $\frac{4^2-2(2)}{2}$

= $\frac{16-4}{2}$

= $\frac{12}{2}$

= 6

3 0

3 years ago

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kykrilka [37]

If x< -5 then x+5 < 0
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