Find a polynomial f(x) of degree 3 with real coefficients and the following zeros. 2, 1-2i

Answer:

Step-by-step explanation:

                                             [tex](x-32)^2=56\\\\x-32=\pm\sqrt{56}\\\\x=32\pm\sqrt{4\cdot14}\\\\ x=32\pm2\sqrt{14}[/tex]

Answer:

15688

Step-by-step explanation:

Answer:

-6 + -5 = -11

Step-by-step explanation:

Answer:i believe its 3 correct me if im wrong

Step-by-step explanation:

Answer:

either 6/10 or 7/10

Step-by-step explanation:

Answer:

y

Step-by-step explanation:

2y-y=y

Answer: 2y-y can be written as y because 2y means you have 2 y’s and 2y’s minus 1 y is just 1 y

Step-by-step explanation:

Answer:

$61,671.75

Step-by-step explanation:

There is a calculator called "Sales Tax Calculator" and if you put in your Before Tax Price and your Sales Tax Rate you will receive your answer of $61,671 and 75 Cents. ($61,671.75)

Answer:

Step-by-step explanation:

B/4=3.2

B=12.8

Answer:

K would equal to:

K= 50

Hope that helps! :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

I believe the point is 2:5

Hope this helps

Answer:

4

Step-by-step explanation:

Candle is lit every 10 minutes :

Number of candles lit in 55 minutes:

Starting from 0 minute ; Numbe rod candles lit on 55 minutes = 6

1st candle burns out after 40 minutes

Second burns out after 50 minutes

Third will burn out after 60 minutes

Hence Number of candles still burning :

Number of candles lit - Number of candle burnt out

6 - 2 = 4 candles

Answer:

A) two          (they are 7 and -7)

Step-by-step explanation:

Answer:

Using the right angles, we can establish AAS making the triangles congruent. Or using the Pythagorean Theorem, we can find the missing side, and then use SSS, SAS, or ASA to make the triangles congruent.

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

if DB equal to 6 then look down at CE, it has the same distance as D to B so CE equal to 6.

9514 1404 393

Answer:

  CE = 10

Step-by-step explanation:

Assuming BC is parallel to DE, that segment divides the sides proportionally.

  CE/CA = BD/BA

  CE/25 = 6/15

  CE = 25(6/15) . . . . multiply by 25

  CE = 10

Step-by-step explanation:

x+6/x+2=x+3/x-5 x<>2 and x<>5

(x+6)(x-5)=(x+3)(x+2)

x2-5x+6x-30=x2+2x+3x+6

-5x+6x-30=2x+3x+6

x-30=5x+6

x-5x=6+30

-4x=36

x=-9

Note* x2=x in the power of 2

Answer:

c) 4 terms

Step-by-step explanation:

3x is 1 term ,2y is 1 term,z is 1 term,6 is also 1 term

so in all there are 4 terms

Step-by-step explanation:

First thing you need to do is Slope - intercept form of the line going through point A and B.

Slope-intercept form: y = mx + b (m = slope, b = y-intercept)

To get slope: [tex]\frac{y2 - y1}{x2-x1}[/tex]

Lets set point A as point1 (x1, y1) and point B as point2(x2, y2).

x1 = -4

x2 = 8

y1 = 6

y2 = 3

If you plug these numbers in the slope equations:

[tex]\frac{3 - 6}{8 - 4}[/tex] = [tex]\frac{-3}{4}[/tex]

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

So a parallel line is a line that has a different b value but the same slope value.

To get b  for the parallel line : we need to substitute the x and y for a given point (0,-2).

which will make -2 = 0([tex]\frac{-3}{4}[/tex] ) + b

now we solve for b:

-2 = 0 +b

b = -2

So the whole Slope-intercept form of the parallel line is: y = [tex]\frac{-3}{4}[/tex] x -2

Answer:

It is linear since it is a straight line.

Answer:

K (2,-4)

L (4,-6)

J (2,-9)

Step-by-step explanation:

The required graph of the image of △JKL after a reflection over the line y=x has been attached below.

A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.

The triangle △JKL is given in the represented graph, which vertices are as follows :

J (-9, 2)

K (-4, 2)

L (-6, 4)

The image of △JKL after a reflection over the line y = x will be triangle △J'K'L' that vertices are as follows :

K' (2,-4)

L' (4,-6)

J' (2,-9)

Hence, the required graph of the image of △JKL after a reflection over the line y=x has been attached below.

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Answer:

The answer is below

Step-by-step explanation:

The horizontal asymptote of a function f(x) is gotten by finding the limit as x ⇒ ∞ or x ⇒ -∞. If the limit gives you a finite value, then your asymptote is at that point.

[tex]\lim_{x \to \infty} f(x)=A\\\\or\\\\ \lim_{x \to -\infty} f(x)=A\\\\where\ A\ is\ a\ finite\ value.\\\\Given\ that \ f(x) =25000(1+0.025)^x\\\\ \lim_{x \to \infty} f(x)= \lim_{x \to \infty} [25000(1+0.025)^x]= \lim_{x \to \infty} [25000(1.025)^x]\\=25000 \lim_{x \to \infty} [(1.025)^x]=25000(\infty)=\infty\\\\ \lim_{x \to -\infty} f(x)= \lim_{x \to -\infty} [25000(1+0.025)^x]= \lim_{x \to -\infty} [25000(1.025)^x]\\=25000 \lim_{x \to -\infty} [(1.025)^x]=25000(0)=0\\\\[/tex]

[tex]Since\ \lim_{x \to -\infty} f(x)=0\ is\ a\ finite\ value,hence:\\\\Hence\ the\ horizontal\ asymtotes\ is\ at\ y=0[/tex]

Answer:

Ce clasă ești sa văd daca te pot ajuta

Answer:

3. 4/2

Step-by-step explanation:

Easier way to explain it is the numerator or the top number is higher then the denominator or the bottom number.

Answer: It's the second option

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

edge 2020-2021 <3

Answer:

20m

Step-by-step explanation:

The rooms are 4m x 5m.

To find the area, multiply length by width: 4*5=20

The Area of one room is 20 m².

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.

Given:

First, Area of one room= lw

                                      = 4 x 5

                                      = 20 m²

Now, Area of four room = 4 x 20

                                      = 80 m²

Thus, area of one room is 20 m².

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Answer:

See below.

Step-by-step explanation:

It's good to recall what these terms mean:

Conditional statement: if p then q

Converse: if q then p

Inverse: if not p then not q

Contrapositive: if not q then not p

Conditional statement:

If m<A = 100, then <A is not a right angle.

p = m<A = 100

q = <A is not a right angle

Converse:

If angle A is not a right angle, then m<A = 100.

False. An angle that is not a right angle can have many measures other than 100 degrees.

Inverse:

If the measure of <A is not 100 degrees, then <A is a right angle.

False. If an angle has a measure of other that 100 degrees, it can have many measures in addition to 90 degrees, so it is not necessarily a right angle.

Contrapositive:

If angle A is a right angle, then m<A is not 100 degrees.

True. Only a right angle has a measure of 90 degrees, so an angle with measure 100 deg cannot be a right angle.

Answer:

Congruence transformations

transformations that are performed on an object that can create a congruent object

Answer:

1. 2x² - 8x - 7

2. x³+ x + 30

Step-by-step explanation:

[tex]2 {x}^{2} - 9x - 2 +x - 5[/tex]

[tex]2 {x}^{2} - 8x - 7[/tex]

2x² has no other like terms to add or substract with so it stays as is.

(-9x) + x = -8

(-2) - 5 = -7

or

(-2) - (-5) = 3

Watch out for the ones on top. I'm a bit confused about them but those ones are your possible options.

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[tex] {x}^{3} + 27 + x + 3[/tex]

[tex] {x}^{3} + x + 30[/tex]

x³ stays as is and so does x.

27 + 3 = 30