MATHEMATICS HIGH SCHOOL

Find a polynomial function P(x) if least degree with zeroes 7 and -2i. Write your final answer in expanded form complete with function name P(x).

Answers

Answer 1

Answer:

1) Polynomial with complex coefficients wil be

$P(x)=(x-7)(x-(-2i))=(x-7)(x+2i)=x^2+2ix-7x-14i=\n \n=x^2+(2i-7)x-14i.$

2) Polynomial with real coefficients will be

$P(x)=(x-7)(x-(-2i))(x-2i)=(x-7)(x+2i)(x-2i)=(x-7)(x^2-(2i)^2)=\n \n=(x-7)(x^2-4i^2)=(x-7)(x^2+4)=x^3-7x^2+4x-28.$

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Its r9ght here just look at ut

Answers

Answer:

its 400 . 1200 divided by 3 in 400.

Step-by-step explanation:

Ebony walked at a rate of 3 1/2 miles per hour for 1 1/3 hours. how far did she walk?

Answers

Answer:

She walked $4(2)/(3)$ miles

Step-by-step explanation:

Speed of ebony = $3(1)/(2)$ miles/hour

= $(7)/(2)$ miles/hour

Time Taken = $1(1)/(3)$ hours.

= $(4)/(3)$ hours.

We are supposed to find how far did she walk i.e. Distance

Formula : $Distance = Speed * Time$

$Distance = (7)/(2) * (4)/(3)$

$Distance = (14)/(3)$

$Distance = 4(2)/(3)$

Hence she walked $4(2)/(3)$ miles

im wondering the same thing i have this question to

suppose it has been determined that the probability is 0.6 that a rat injected with cancerous cells will live. if 35 rats are injected, how many would be expected to die

Answers

Answer:

Calculating this, we find that approximately 14 rats would be expected to die.

Step-by-step explanation:

determine the number of rats expected to die, we need to multiply the probability of dying (1 - 0.6 = 0.4) by the total number of rats injected. Probability of dying = 1 - Probability of living = 1 - 0.6 = 0.4 Number of rats expected to die = Probability of dying * Total number of rats injected = 0.4 * 35

It is given that -3 is one of the roots of the quadratic equation x square -4x-h=0.find the value of h

Answers

Since -3 is one of the roots, that means it would satisfy the equation.

x^2 - 4x - h = 0, substitute x = -3.

(-3)^2 -4(-3) - h = 0
9 + 12 - h = 0
21 - h = 0
21 = h.
h = 21.
That's the value of h. Cheers.

If 6x −3 = −5x +7, then x =?
Can someone explain this one?

Answers

The average rate of change in the interval is r{a} = 15.

What is equation modelling? What is a mathematical equation and expression?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.

A mathematical equation is used to equate two expressions.

Given is the equation as -

6x −3 = − 5x +7

We have -

6x −3 = − 5x +7

6x + 5x = 7 + 3

11x = 10

x = 10/11

Therefore, thevalue of [x] will be equivalent to 10/11.

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$6x-3=-5x+7$

$6x-3+3=-5x+7+3$

$6x+5x=-5x+5x+10$

$11x=10$

$x=(10)/(11)$

Whats ten hundredths in standard form

Answers

0.1

Further explanation

This question about converting unit forms into standard forms.

A standard form is written in number form
A unit form is writing a number using place value units

Let's convert ten hundredths in standard form

$\boxed{ \ 10 * (1)/(100) = (10)/(100) = (1)/(10) = 0.1} \ }$

Thus, ten hundredths in standard form (or standard notation) is 0.1.

We call it 'one-tenth', it's a small number of less than 1.

Note:

Let's recall the place value.

Decimal point tells when starting to count. We begin with a tenth when we go to the right of the decimal point and the unit when we go to the left.

Another example:

21.3 is twenty-one and three tenths
two and forty-five thousandths is 2.045

At a higher level, we also need to learn about scientific notation. Scientific notation helps us summarize the writing of very large or very small numbers.

Learn more

Using a scientific notation brainly.com/question/4736384
The example of a question about the four types of number form brainly.com/question/4725342
Determine 3 digits are in the units period of 4,083,817 brainly.com/question/558692

Keywords: whats ten hundredths in standard form, unit form, tenths, thousandths, fractions, less than 1, a small number, notation

Ten hundredths in standard form is written as 0.10.

In standard form, the decimal representation of a number consists of a whole number part, a decimal point, and a fractional part.

The fractional part represents a portion of a whole.

In the case of ten hundredths, the number 10 represents the fractional part of 0.10.

The digit 1 is in the tenths place, and the digit 0 is in the hundredths place.

Therefore, 0.10 represents ten hundredths in standard form.

Learn more about Place Value here:

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