Using the Factor Theorem, which of the polynomial functions has the zeros 3, radical 5, and negative radical 5?

A. f (x) = x3 – 3x2 + 5x + 15
B. f (x) = x3 + 3x2 – 5x + 15
C. f (x) = x3 – 3x2 – 5x + 15
D. f (x) = x3 + 3x2 – 5x – 15

Answer:

Please find the complete question in the attached file.  

Step-by-step explanation:

All three functions are defined as follows:

For function 1:

The module on the absolute value function instance example also is known as this function:

[tex]f(x)=|x| \ \left \{ {{x, \ \ x>0} \atop {-x \ \ <0}} \right.[/tex]

This is [tex]f(x)= x, \ \ x<0[/tex] in the following diagram.

For function 2:

It is an algebraic function of in this function

It also is a quadratic polynomial functional with a [tex]y=x^2, \ \ x>0[/tex] value.

For function 3:

The cubic polynomial equation is evaluated for in this function

The value of the graph is:

[tex]y=-x^3 \ \ \ \ and\\\\\to y= f(x)\\\\\to y= -f(x)\\\\[/tex]

Answer:

x>2 or x<-10

Step-by-step explanation:

9|x +4|>54

Divide each side by 9

9/9|x +4|>54/9

|x +4|>6

There are two solutions, one positive and one negative

x+4 >6  or x+4 < -6

Subtract 4 from each side

x+4-4 >6-4   or x+4-4 < -6-4

x>2 or x<-10

Answer:

Step-by-step explanation:

A rational number can be written as a fraction of two integers.

√23 is irrational because we do not know what the square root of 23 is in terms of integers in a fraction.

104.42 is rational because it can be expressed as 10442/100 . We can express it as this because

104.42 * 1 = 104.42 * 100/100 = 10442/100, and multiplying something by 1 keeps it the same

√64 is rational because it is equal to 8, and 8/1 is equal to 8

49.396 with the 6 repeating is rational because we can express 49.39 as

49.39 * 1 = 49.39 * 100/100 = 4939/100, and we are then left with

49.396- 49.39 = 0.006 (with the 6 repeating). A repeating decimal can be expressed as x/9, with the x representing all values before the repetition begins multiplied by 10.

For example, 0.6 with the 6 repeating can be represented as 6/9. This is because 0.6 * 10 = 6, and we divide that by 9. Similarly, 0.006 with the 6 repeating can be represented by 0.06/9

We add the two fractions together to get

4939/100 + 0.06/9

multiply both fractions by the other's denominator to even them out and make the numerator of the second fraction an integer

(4939*9)/(100*9) + (0.06*100)/(9*100)

= 44451/900 + 6/900

= 44460/900

Assuming that the last number has only the digits given, that is rational because, similarly to 104.42, it can be multiplied by a power of 10 to result in (integer)/(integer), making it rational. If the dots represent infinite digits, then it is not rational because there are infinite digits that are not repeating, and there is no way to know the last digit, so it is impossible to write a fraction from it

Answer:  Choice B)  [tex]\frac{y}{x} = \frac{2}{3}[/tex]

This is the same as saying  y/x = 2/3

Or I suppose you could say "y over x = two-thirds".

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

Explanation:

Recall that slope is rise over run

slope = rise/run

The rise being the change in y, while the run is the change in x.

So we could informally think of it as slope = y/x

-----------

Since we're told that it "has a rise of 2 and run of 3", this means slope = 2/3.

The slope is both y/x and also 2/3.

Equating the two expressions leads us to y/x = 2/3. This is why choice B is the final answer.

-----------

Side notes:

Answer:

B

Step-by-step explanation:

(-_-)

Answer:

12

Step-by-step explanation:

Rectangle : Let length = b & width = a

PQ = QR = 6

LR = QR - PL = 6 - a

ΔPQR ~ ΔMLR

In similar triangles, corresponding sides are in same ratio.

[tex]\frac{PQ}{QR}=\frac{ML}{LR}\\\\\frac{6}{6}=\frac{a}{6-b}[/tex]

[tex]1 =\frac{a}{6-b}[/tex]

6 - b = a

6 = a + b

a +b = 6

Perimeter of rectangle = 2*(length +width}

       = 2*(a+ b)

       = 2 * 6

       = 12  

Answer:

H

Step-by-step explanation:

Answer:

J

Step-by-step explanation:

Area of Rectangle = length x width

(2x + 11) * (3x+5)

= (2x * 3x) + (2x*5) + (11*3x) + (11*5)

= 6x^2 + 10x + 33x + 55

= 6x^2 + 43x + 55

Answered by Gauthmath

Answer:

B

Step-by-step explanation:

r=3 in

h=8 in

Volume of funnel

[tex]V=\frac{1}{3}\pi r^2h\\=\frac{1}{3} \times 3.14 \times 3^2 \times 8\\=75.36 in.^3\\time ~taken~to~drip out=\frac{75.36}{15}\\\approx 5.02~minutes.[/tex]

Answer:

5.02 is right

Step-by-step explanation:

i hope this helps

Answer:

E

Step-by-step explanation:

I believe it should be E because it uses parallel lines

Answer:

Dado que un obrero manufactura cajas rectangulares de distintos tamaños, y la longitud de cualquier caja debe ser superior a su ancho en al menos 3 cm, y el perímetro no puede ser superior a los 24 cm, para determinar cuáles son las medidas posibles de una caja se debe realizar el siguiente cálculo:

X + X + 6 = 24

2X = 18

X = 9

Por lo tanto, la caja puede tener 4.5 centímetros de ancho por 7.5 de largo, o bien ir aumentando su longitud en desmedro de su anchura.

Answer:

2x

Step-by-step explanation:

Given

6x and 8xy

The highest common factor of 6 and 8 is 2

The highest common factor of x and xy is x

Then

The highest common factor of 6x and 8xy is 2x

Answer:

-4/5

Step-by-step explanation:

first use bodmas to evaluate work on brackets then division

Answer:

The quantity of loaves left in the bag is 3/4.

Step-by-step explanation:

Carlos bought a certain amount of loaves, put 1/4 of that amount on his tray and left the rest of the loaves in the bag. How many loaves did Carlos leave in the bag?

Quantity of loaves in tray is 1/4

So, the quantity of loaves in the bag is

[tex]1-\frac{1}{4}=\frac{3}{4}[/tex]

Answer:

y=7x

Step-by-step explanation:

because y= 4x+3=7x

Answer:

Zukile has 105, Adam has 45, Siya has 90

Step-by-step explanation:

Not sure how right this is, but I did: 240=2x+x+(60+x)

Simplify to: 240=60+4x

Simplify to: 180=4x

Simplify to: 45=x

Answer: We know that for any circle with radius r the formula for the area and circumference of the circle is given as: Area of circle=πr². ... Hence, to describe the relationship between the area of a circle and its circumference. The Area of circle is 1/2 times the radius times the circumference.

Step-by-step explanation:

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:find}}{\blue{:}}}}}[/tex]

The value of [tex]x[/tex].

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]\longrightarrow{\green{x=12° }}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

We know that,

[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]

➪ 95° + (3[tex]x[/tex] +4)° + (4[tex]x[/tex] - 3)° = 180°

➪ 3[tex]x[/tex] + 4[tex]x[/tex] + 95° + 4° -3° = 180°

➪ 7[tex]x[/tex] + 96° = 180°

➪ 7[tex]x[/tex] = 180° - 96°

➪ 7[tex]x[/tex] = 84°

➪ [tex]x[/tex] = [tex]\frac{84°}{7}[/tex]

➪ [tex]x[/tex] = 12°

Therefore, the value of [tex]x[/tex] is 12°.

Now, the three angles of the triangle are 95°, 40° and 45° respectively.

[tex]\large\mathfrak{{\pmb{\underline{\purple{To\:verify}}{\purple{:}}}}}[/tex]

✒ 95° + 40° + 45° = 180°

✒ 180° = 180°

✒ L. H. S. = R. H. S.

[tex]\boxed{Hence\:verified.}[/tex]

Answer:

25

Step-by-step explanation:

8b^2 +2a(4c-b)

Let a = 1/4 b=2 c= -3

8 ( 2)^2 +2(1/4) ( 4*-3 -2)

Parentheses first

8 ( 2)^2 +2(1/4) ( -12 -2)

8 ( 2)^2 +2(1/4) ( -14)

Then exponents

8 ( 4) +2(1/4) ( -14)

Then multiply

32 -7

Subtract

25

Answer:

5 meters traveled in distance.

Step-by-step explanation:

Since we are finding the distance of a frog traveling ? distance in 25 mins, we can substitute t for 25. If we do, 0.2 x 25 = 5, d = 5.

Hope this helps!

Step-by-step explanation:

6+3b=6+3(7)=6+21=27

Very easy

<(￣︶￣)><(￣︶￣)><(￣︶￣)><(￣︶￣)>

Answer:

152 inches

Step-by-step explanation:

P = 2 l + 2 w,

We know the length is 48 and width is 28

P = 2 *48 + 2 *28

P = 96+56

P =152

Given that,

→ Length is 48 inches.

→ Width is 28 inches.

We have to find,

The perimeter of the tabletop.

The formula we use,

→ P = 2(L) + 2(W)

Then find the perimeter of the tabletop,

→ 2(L) + 2(W)

→ (2 × 48) + (2 × 28)

→ 96 + 56

→ 152 inches

Thus, the perimeter is 152 inches.

Answer:

i believe the answer is N=1

Answer:

Step-by-step explanation:

I replace x instead of ?.

35/35+(x+35)=(60_35)/60

.....35×60=875+25x+875

2100=1750+25x

350=25x---->x=350÷25=14....x:14

Answer:

7.75

Step-by-step explanation:

(I'm assuming you need to find the missing side of the triangle)

To find missing values in a right angle. we will use the pythagoras theorem which states that:

h^2 = a^2 + b^2

16^2 = 14^2 + b^2

256 = 196 + b^2

256 - 196 = b^2

60 = b^2 (take sqaure root)

b= 7.75

Answer from Gauthmath

Step-by-step explanation:

For the 1st picture,

The 2nd option is the answer.

Let say we have

[tex] a_{3}[/tex]

Replace it into the recursive formula.

[tex] a_{3} = a_{3 - 2} + (a) _{3 - 1}[/tex]

We are given a,1 and a,2 so the 3rd terms has to be

[tex]2[/tex]

So the second option is the answer.

For the second picture, a geometric sequence is a group of terms that has the same ratio between each consecutively.

Infinite means going on forever

The fourth option is the answer.

Answer:

1,1,2,3,5

part #2 none are exactly correct... the terms go on forever, so 1 &2 are out...

the "difference" is definitely not the same, so three is out..

4 is the closest, but the ratio is not the same, there is a trend in the ratio..

this is the Fibonacci sequence, and the ratio trends toward the "golden ratio" ( φ -phi) but never is exactly φ because φ is irrational

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

140/(140+70)

=140/210

simplified

=2/3