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Olin [163]
3 years ago
5

3. If a polynomial equation p(x) = 0 has 3 + 4i as a solution, what other solutions must it have?

Mathematics
2 answers:
GenaCL600 [577]3 years ago
7 0

Answer:

Option (d) is correct.

For the given polynomial p(x)  if 3 +4i is a root then, 3 - 4i is also the root of p(x).

Step-by-step explanation:

Consider the given polynomial equation p(x) = 0

It is given that the polynomial P(x) has one root 3 + 4i

According to Complex conjugate theorem ,  if V is a polynomial and x + iy is a root of given polynomial then  its conjugate x - iy is also the root of the polynomial.

Thus, for the given polynomial p(x)  if 3 +4i is a root then, 3 - 4i is also the root of p(x).

Thus, option (d) is correct.

True [87]3 years ago
6 0
It must have di 3-4 I as another solution
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Find the length of AB?
vampirchik [111]

Given:

The figure of a right triangle.

To find:

The length of AB.

Solution:

In a right angle triangle,

\cos \theta=\dfrac{Base}{Hypotenuse}

Using this trigonometric ratio for the given triangle, we get

\cos A=\dfrac{AB}{AC}

\cos (60^\circ)=\dfrac{AB}{10}

\dfrac{1}{2}=\dfrac{AB}{10}

\dfrac{1}{2}\times 10=AB

5=AB

Therefore, the length of AB is 5 units.

7 0
3 years ago
The revenue​ (in millions of​ dollars) from the sale of x units at a home supply outlet is given by ​R(x)equals=0.210.21x. The p
Natalka [10]

Answer: a) c(x) = 0.124x + 1.1, b) 13 units

Step-by-step explanation: Revenue function = R(x) = 0.21x

Profit function = p(x) = 0.086 - 1.1

Cost function = c(x) =?

A)

Recall that profit = total revenue - total cost

Hence, total cost = total revenue - profit

c(x) = 0.21x - (0.086x - 1.1)

c(x) = 0.21x - 0.086x + 1.1

c(x) = 0.124x + 1.1

B)

Break even point is the point where total revenue equals total cost

R(x) = c(x)

0.21x = 0.124x + 1.1

0.21x - 0.124x = 1.1

0.086x = 1.1

x = 1.1/0.086

x = 12.79 which is approximately 13 units

4 0
3 years ago
Help 8th grade math need answers quick
stepladder [879]

Answer:

A few examples:

0. 0

1. Undefined

2. -3/5

3. Undefined

...

7. 493

8. 5/2

....

Learn how to find the slope below for the other problems.

Step-by-step explanation:

Slope is the rate of change for a linear function. It is found by subtracting the y values of two point on the line and dividing that difference by the difference of the x values of the points.

It can also be found using the formula y=mx+b known as the slope intercept form.

Here are a few examples:

0. This is a horizontal line which always has slope 0.

1. This is a vertical line which always has slope undefined.

2. Find two points that cross through a grid line intersection The line appears to cross them at (5,3) and (0,6). Count the unit squares between the two by counting up 3 and over to the left 5. Because it is left it is negative. The slope is -3/5

3. To find the slope, use the slope formula:

\frac{y_2-y_1}{x_2-x_1}=\frac{6--4}{-2--2}=\frac{6+4}{-2+2}=\frac{10}{0}=undefined

Since we can't divide by 0, it is undefined.

7. y=493x-257 follows the formula y=mx+b where m is the slope. m=493. The slope is 493.

8. Covert the equation into y=mx+b by rearranging the terms using y=mx+b.

5x-2y=48

-2y=48-5x

y=5/2 x -24

So the slope is 5/2.

8 0
3 years ago
I need help with this one
Aleks [24]

Answer:

c

Step-by-step explanation:

4 0
2 years ago
How many lines are symmetry
VladimirAG [237]

Answer:

specify which shape's symmetry do you want

6 0
3 years ago
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