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3 years ago

Create the polynomial which has roots 3and 2

2 answers:

8 0

Since this polynomial has answers 3 and 2, we can set up the equation (x-3)(x-2) = 0

That’s already our answer, but if you want it in standard form, We can use FOIL to multiply the 2 expressions:
(x-3)(x-2)
=x^2-3x-2x+6
=x^2-5x+6

Lubov Fominskaja [6]3 years ago

6 0

Answer:

f(x) = x² - 5x + 6

Step-by-step explanation:

Given a root of a polynomial x = a then the factor is (x - a)

Here the roots are x = 3 and x = 2 , thus the corresponding factors are

(x - 3) and (x - 2)

The polynomial is then the product of the factors, that is

f(x) = (x - 3)(x - 2) ← expand using FOIL

= x² - 5x + 6

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Yak Travel Agency arranges trips for climbing Mount Everest. For each trip, they charge an initial fee in addition to $0.15 for

Karo-lina-s [1.5K]

Answer: T = 120 + .15*x

Let T be the total price

Let 'I' be the initial price

Let 'x' be the total number of vertical meters

So, T = I + .15*x

Putting T = 645 and x = 3500 in above equation

we get, I = 120

So, the required equation is

T = 120 + .15*x

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3 years ago

Work out the area of Triangle ABC

Tema [17]

The main idea is using the Pythagorean formula to find the length of line segment $DB$ .

Alr so you use the formula $A^2 + B^2 = C^2$

$C^2$ is already given and is $2\sqrt{5}$

and $A^2$ is $3\sqrt{2}$

So using algebraic rules you'll get $B$ as:

$\sqrt{2}$

Now using the formula: $\frac{1}{2} b * h$ , you can find the area of tri ABD and CBD which would be $3$ and $1$ so add them up and you get $4$ !

5 0

3 years ago

Which of the following is a counterexample of, "All rational numbers are integers"? is not an integer. 3 is an integer. -1 is a

Sever21 [200]

Answer:

It is (almost certainly) the first choice, however, you omitted the actual example there. See below.

Step-by-step explanation:

A counter-example to "All rational numbers are integers" is easy to find - it is any fraction that is reduced to simplest form and its denominator (bottom part) is not 1. Examples: 2/3, 7/5, 11/13 are all not integers but rational numbers and therefore are counter-examples to the statement. The statement is thus disproven. Please check your question - there is a value with the first choice that is likely one such fraction.

The remaining 3 choices to your answer are all not applicable.

4 0

3 years ago

Read 2 more answers

Please I really need an A on this I will let you know the answers when Im done

zhenek [66]

1 . 48 is the answer as the two bottom ones are equal 180-66-66=48

2. 117 degrees as the angle is the same as the other congruent angle shown in the diagram

5 0

3 years ago

Melia put the $20 her Grandmother gave her for her tenth birthday into her piggy bank. Each week after that she added her $1.50

kondaur [170]

<h3>Answer: a) Equation y= 20+ 1.50n.</h3><h3>b) Melia have $644 to spend on her 18th birthday.</h3>

Step-by-step explanation: We are given that Melia put $20 initially in piggy bank.

Each week amount added in piggy bank = $1.50.

Let us assume total number of weeks be n Melia added amount in piggy bank and get y amount after n weeks.

a) Therefore, total amount after n weeks = Initial amount + 1.50 times n weeks.

y= 20+ 1.50n.

b) On 18th birthday, there would be total 8 years after 10th birthday.

And in 8 years there would be 52 × 8 = 416 weeks.

So, in order to find the total amount after 8 years or 416 weeks, we need to plug n= 416 in the equation we got in a part.

Therefore,

y = 20+ 1.50(416)

y = 20 + 624 = 644.

<h3>Therefore, Melia have $644 to spend on her 18th birthday.</h3>

3 0

3 years ago