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Basile [38]
3 years ago
15

Find a polynomial function p of lowest​ degree, having rational​ coefficients, with the given zero. 5i

Mathematics
1 answer:
weqwewe [10]3 years ago
7 0
If we have one zero of +5i, we also have to have its conjugate which is -5i.  Therefore, the factors that we will FOIL to get that polynomial are (x+5i)(x-5i).  That distribution results in x^{2} -25 i^{2}.  I'm sure by now you know that i squared is equal to -1, so -25(-1) = 25.  So our polynomial is x^{2} +25=y
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Alisiya [41]

Answer:

C

Step-by-step explanation:

A function cannot have any repeated x-coordinates; therefore C is the correct answer.

6 0
3 years ago
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F(x) = 1 / 2<br> g(x) = x - 4<br> Can you evaluate (g o f) (0)? Explain why or why<br> not.
Vitek1552 [10]

For this case we have the following functions:

f (x) = \frac {1} {2}\\g (x) = x-4

We must find (g_ {o} f) (x). For definition of composition of functions we have to:

(g_ {o} f) (x) = g (f (x))

So:

g (f (x)) = \frac {1} {2} -4 = \frac {1-8} {4} = \frac {-7} {4} = - \frac {7} {4}

Then, for any value of "x", the composite function has a value of- \frac {7} {4}.

Thus,(g_ {o} f) (0)cannot be evaluated, it will always be obtained - \frac {7} {4}.

ANswer:

For any value of "x", the composite function has a value of- \frac {7} {4}.

6 0
3 years ago
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.................................
Ilia_Sergeevich [38]

Answer:

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Step-by-step explanation:

8 0
3 years ago
Which of the following is the slope intercept form of the equation of this line
love history [14]

Answer:

The slope-intercept form of the equation of this line is:

y=-x

Hence, option 'c' is true.

Step-by-step explanation:

From the line equation, let us take two points

  • (1, -1)
  • (-1, 1)

Finding the slope between two points

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(1,\:-1\right),\:\left(x_2,\:y_2\right)=\left(-1,\:1\right)

m=\frac{1-\left(-1\right)}{-1-1}

m=-1

From the line graph, we can determine the y-intercept by setting x=0 and checking the y-value at x=0

at x=0, y=0

Thus, (0, 0) is the y-intercept

We know that the slope-intercept form of the line equation is

y=mx+b

where

  • m=slope
  • b=y-intercept

As we have already determined m=-1 and y-intercept=b=0

so substituting m=-1, b=0 in the slope-intercept form of the line equation

y=mx+b

y=(-1)x+0

y=-x

Thus, the slope-intercept form of the equation of this line is:

y=-x

Hence, option 'c' is true.

3 0
3 years ago
Find the measure of each angle
Svetach [21]

Answer:

4x=80 and 5x=100

Step-by-step explanation:

4x+5x=180

9x=180

1/9 (9x)=1/9 (180)

x=20

4(20)=80

5(20)=100

4 0
3 years ago
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