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3 years ago

Which polynomial could have the following graph?

Mathematics

1 answer:

katrin2010 [14]3 years ago

8 0

ANSWER

y=(x+3)(x-1)(x-5)

EXPLANATION

The given polynomial has x-intercepts at x=-3,x=1,x=5

These are called the zeros of this polynomial.

We can use the factor theorem to obtain the polynomial in factored form.

The polynomial in factored form is of the form

y=a(x+3)(x-1)(x-5)

The polynomial rises on the left and keep rising on the right.

This implies that, the 'a' is positive.

Therefore

y=(x+3)(x-1)(x-5)

The correct choice is the first option.

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HELPPPP JUST 2 QUESTIONS BASED ON PYTHAGOREAN THEOREM AND IM CONFUSED HELPPPP

Anna007 [38]

9514 1404 393

Answer:

3. no; does not have the correct ratio to other sides

4. (1; right), (2; obtuse), (3; right)

Step-by-step explanation:

3. There are a couple of ways you can go at this.

a) the ratio of sides of a 30°-60°-90° right triangle (half an equilateral triangle) is 1 : √3 : 2. Here, the ratio of sides is ...

(√30/2) : √15 : √30 = 1 : √2 : 2 . . . . MQ is <em>not</em> the height

b) the height is perpendicular to the base, so if MQ were the height, the sides of the triangle would satisfy the Pythagorean theorem:

LQ² +MQ² = LM²

(√30/2)² +(√15)² = (√30)²

30/4 +15 = 30

22.5 = 30 . . . . NOT TRUE

The length MQ cannot be the height of ∆LMN. (It is too short.)

4. To see if these lengths form a right triangle, you can test them in the Pythagorean theorem relation. In the attached we have reformulated the equation so it gives a value of 0 if the triangle is a right triangle:

c² = a² +b² . . . . . Pythagorean theorem

c² -a² -b² = 0 . . . . rewritten

If the value of c² -a² -b² is not zero, then the side lengths do not form a right triangle. The attached shows this math performed by a graphing calculator. The results are ...

right triangle
not a right triangle — long side is too long, so the triangle is obtuse
right triangle

_____

<em>Additional comment</em>

The attached table demonstrates an artifact of computer arithmetic. Not all numbers can be represented exactly in a computer, so a difference that is expected to be zero using exact arithmetic may be slightly different from zero when computed by a computer or calculator. Here, we see a difference of about 6×10^-14 when zero is expected. On most calculators (with 10, or 12 displayed digits), this would be displayed as 0.

The same calculation done "by hand" gives ...

(√425)² -5² -20² = 425 -25 -400 = 0 . . . Triangle 1 is a <em>right triangle</em>

4 0

3 years ago

Solve 3x + 23 + x = 7. x = −4 x = 4 x = −0.25 x = 0.25

Maksim231197 [3]

<h2>______________________________</h2><h2>Solve for x | Solution and Explanation </h2>

______________________________________________

Hello! So...

We are given the following:

Solve for x.

$3x+23+x=7$

====================

1. Group the like terms.

$3x+x+23=7$

====================

2. Add similar elements ( $3x+x=4x$ ).

$4x+23=7$

====================

3. Subtract 23 from both sides.

$4x + 23 - 23 = 7 - 23$

====================

4. Simplify.

$4x=-16$

====================

5. Divide both sides by 4.

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

====================

6. Simplify.

$x=-4$ (aka. Option A)

====================

Hope this helps!

3 0

1 year ago

Please help!!! ill mark brainliest

Vesnalui [34]

3x - 1 = 3x + 1

subtract 3x from both sides to get (-1 = 1). This is a false statement so it is: CONTRADICTION

************************************************

4x - 11 = 7

add 11 to both sides and then divide both sides by 4 to get $(x = \frac{18}{4} = \frac{9}{2})$ . This statement is true only when x = $\frac{9}{2}$ so it is: CONDITIONAL

*************************************************

2 - 8x = 2 - 8x

add 8x to both sides to get (2 = 2). This is a true statement so it is: IDENTITY

*************************************************

x + 1 = -x + 4

add x to both sides, subtract 1 from both sides, and divide both sides by 2 to get $(x = \frac{3}{2} )$ . This statement is true only when x = $\frac{3}{2}$ so it is: CONDITIONAL

Answer: B, A, C, A

6 0

3 years ago

How do i get this ?

ser-zykov [4K]

Sinx=1/2
sin30=1/2
therefore x=30 degree

7 0

3 years ago

Read 2 more answers

In your own words, explain the concept of a variable. Discuss how you can teach a class about the use of variables and how they

vesna_86 [32]

VARIABLE is a symbol which is used for representation in a math.

According to the statement

we have to explain about the what is a variable.

So, VARIABLE is a symbol which is used for representation in a math.

It represent the so many things like Algebra, Matrix,Vector etc. and also so many things.

A variable may also be called a data item.

It is used to represent a data like country name, name, age, date of birth etc.

we know that the every thing is changeable. So, like ther things variables are also changeable.

The changing of variable parameters is called as variation. In problems relating to two or more variables, it is seen that the value of a variable changes with the change in the value.

So, VARIABLE is a symbol which is used for representation in a math.

Learn more about VARIABLE here brainly.com/question/1295072

#SPJ4

8 0

2 years ago