Find a degree 3 polynomial with real coefficients having zeros 3 and 1 − 4i and a lead coefficient of 1. Write P in expanded form.

Answer:

The area is [tex]80[/tex]

Step-by-step explanation:

rectangle in the middle; 24

both triangles on the side; 56

In total; 80

Answer:

9

Step-by-step explanation:

15 / 5/3 = 15 x 3/5=9

Because a negative numebr divided by a negative number is always positive.

Answer:

9

Step-by-step explanation:

Answer:

pack you

pa brainliwa po

The graph of f(x) that satisfies the condition of f(x)'s left sided limit at 2 being -4 and right sided limit at x = 2 being 0 is given by the first graph.

In rough terminologies, the limit from one side is when we only use one side of the function with respect to the considered point of interest (in input) to predict the value of the function at that point.

For this case, we need to find the graph of the function f(x) from the considered 4  graphs for which:

[tex]\lim_{x\rightarrow 2^{-}}f(x) = -4\\\\\lim_{x\rightarrow 2^{+}}f(x) = 0\\[/tex]

For the first graph, for the point x=2, on left from the point x = 2 lies a ray. If thats the function, we can hope that the function will continue having the same line to the right too, so the prediction for value of function on x = 2 is the value that line gives for y.

That is -4.

Thus, prediction of function from left of x = 2 is -4, or

[tex]\lim_{x\rightarrow 2^{-}}f(x) = -4[/tex]

Similar to that, from the right of the point 2, there is some yellow curve. That predicts that the function's value at point x = 2 should be 0 (the yellow curve seems like touching the x-axis where y = 0 at the point x=2.

Thus, we have:

[tex]\lim_{x\rightarrow 2^{+}}f(x) = 0\\[/tex]

So graph first is correctly pertaining such function f(x).

Second graph when refered, we see that if we predict value at x =2 from left, the yellow curve in the left will make us predict that the function would be 0, so: [tex]\lim_{x\rightarrow 2^{-}}f(x) = 0[/tex]

Thus, its wrong graph.

Third graph when refered, we see that if we predict value at x =2 from left, the green line in the left will make us predict that the function would be -2 at x = 2 (see the green point in the third graph), so: [tex]\lim_{x\rightarrow 2^{-}}f(x) = -2[/tex]

Thus, its wrong graph.

Similarly, for the fourth graph, we see that if we predict value at x =2 from left, the yellow curve in the left will make us predict that the function would be 0, so: [tex]\lim_{x\rightarrow 2^{-}}f(x) = 0[/tex]

Thus, its wrong graph.

Thus, the graph of f(x) that satisfies the condition of f(x)'s left sided limit at 2 being -4 and right sided limit at x = 2 being 0 is given by the first graph.

Learn more about one-sided limits here:

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Answer:answer a

Step-by-step explanation: got right on edge 2023

Answer: See attached

Step-by-step explanation:

    Given:

y = -x² + 6x - 5

    Since this is a quadratic function, we will have a parabola.

    Because our x² value is negative, this parabola will be a "frowny face" instead of a "smiley face" like the parent function.    

    The - 5 means we shift the function 5 units to the right from the parent function.

    See attached for our graph.

    What parent function am I mentioning?

The parent function of y = -x² + 6x - 5 is y = x²

Answer:

[tex]g) \left(5x-2\right)\left(3x+2\right)[/tex]

[tex]h)2\left(8a-9\right)\left(a-2\right)[/tex]

[tex]i)3\left(21n^2+42n+16\right)[/tex]

Step-by-step explanation:

Starting with g) [tex]15^2+4x-4[/tex]

Break the expression into group

[tex]=\left(15x^2-6x\right)+\left(10x-4\right)[/tex]

Now, Factor out [tex]3x[/tex] from [tex]15x^2-6x[/tex] which is now is [tex]3x(5x-2)[/tex]

Next, Facotr out [tex]2[/tex] from [tex]10x-4[/tex] which is now is [tex]2(5x-2)[/tex]

Thus,

[tex]=3x\left(5x-2\right)+2\left(5x-2\right)[/tex]

Factor common term 5x -2

[tex]\left(5x-2\right)\left(3x+2\right)[/tex]

-------------------------------------------------------------------------------------------------------------

Next we have [tex]h)16a^2-50a+36[/tex]

Factor out common term thus we have [tex]2(8a^2-25a+18)[/tex]

Factor again: [tex]8a^2-25a+18[/tex] now turn into [tex](8a-9)(a-2)[/tex]

[tex]=2\left(8a-9\right)\left(a-2\right)[/tex]

-------------------------------------------------------------------------------------------------------------

Lastly we have [tex]i)63n^2+126n+48[/tex]

Rewrite the following:

63 as 3 * 21

126 as 2 * 42

48 as 3 * 16

[tex]63n^2+126n+48[/tex]

Now cut out common term:

[tex]=3\left(21n^2+42n+16\right)[/tex]

-------------------------------------------------------------------------------------------------------------

~lenvy~

Answer:

(g)  [tex](5x-2)(3x+2)[/tex]

(h)  [tex](16a-18)(a-2)[/tex]

(i)  [tex]3(21n^2+42n+16)[/tex]

Step-by-step explanation:

To factor a quadratic in the form [tex]ax^2+bx+c[/tex]

Question (g)

[tex]15x^2+4x-4[/tex]

[tex]\implies ac=15 \cdot -4=-60[/tex]

[tex]\implies d+e=4[/tex]

Factors of 60:  1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Therefore, the two numbers (d and e) that multiply to -60 and sum to 4 are:

10 and -6

Rewrite [tex]4x[/tex] as [tex]+10x-6x[/tex]:

[tex]\implies 15x^2+10x-6x-4[/tex]

Factories first two terms and last two terms separately:

[tex]\implies 5x(3x+2)-2(3x+2)[/tex]

Factor out common term [tex](3x+2)[/tex]:

[tex]\implies (5x-2)(3x+2)[/tex]

Question (h)

[tex]16a^2-50a+36[/tex]

[tex]\implies ac=16 \cdot 36=576[/tex]

[tex]\implies d+e=-50[/tex]

Factors of 576:  1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Therefore, the two numbers that multiply to 576 and sum to -50 are:

-32 and -18

Rewrite [tex]-50a[/tex] as [tex]-32a-18a[/tex]:

[tex]\implies 16a^2-32a-18a+36[/tex]

Factories first two terms and last two terms separately:

[tex]\implies 16a(a-2)-18(a-2)[/tex]

Factor out common term [tex](a-2)[/tex]:

[tex]\implies (16a-18)(a-2)[/tex]

Question (i)

[tex]63n^2+126n+48[/tex]

Factor out common term 3:

[tex]\implies 3(21n^2+42n+16)[/tex]

This cannot be factored any further.

Answer:

30 percent of the scores are 90 and greater

Answer:

There are a few different scenarios

Step-by-step explanation:

FROM- THE GENIUS ANSWERER

Answer:

8

Step-by-step explanation:

Factors of 8: 1, 2, 4, 8

Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

They do share a few factors but the greatest one shared between the two is 8

Answer:

D

Step-by-step explanation:

That expression equals :

10z+6

So, now we need to find one of the expressions that ALSO gives us 10z+6

D

This is because:

2*3z=6z

2*2z=4z

----------------------

6z+4z=10z, so we got that one so far.

NEXT

2*3=6.

We got the 6 too!

it is d

Answer:

600

Step-by-step explanation:

10x9 =90

10x3=30

8x90=720

4x30=120

720-120= 600

Answer:

1 inch

Step-by-step explanation:

We know that opposite sides of a rectangle are equal to each other.

Given that,

Perimeter = 30 in

Therefore,

u + u + 14 + 14 = 30

2u + 28 = 30

2u = 30 - 28

2u = 2

Divide both sides by 2.

u = 1 in

Answer:

E    (simalr to the other one you posted)

Step-by-step explanation:

Denominator cannot equal 0   so domain (x values) cannot include 2

  range: all numbers, buthere is no way to make a 0

Answer:

that isn't a number

Step-by-step explanation:

Answer:

7/10

Step-by-step explanation:

Fractional form of 0.7 is 7/10.

The mode of the ratio of the sequence should be greater than one for the divergence. Then the correct option is C.

A series is a sum of sequence terms. That is, it is a list of numbers with adding operations between them.

We know that the condition of the converges of the series will be given as

[tex]\rm \Sigma ^{\infty}_{n=1} \ 0.2(-3)^{n-1}\ \ diverges \ because \ |r| > 1.[/tex]

The mode of the ratio of the sequence should be greater than one for the divergence.

More about the series link is given below.

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Answer: It’s C

Step-by-step explanation:

Answer:

○ [tex]\displaystyle SA = 2lw + 2lh + 2wh[/tex]

Explanation:

A rectangle has four right angles, including two pairs of congruent edges, only containing two dimensions – height and length. Therefore, going three-dimensional, a rectangular prism has three dimensions – width, height, length. With this information, you should know what the answer is.

I am joyous to assist you at any time.

Answer:

f(x) = 45x + 5

Step-by-step explanation:

The parking fee for a minibus at an event is $5 entering the parking lot. There is an extra charge of $45 per passenger.

The formula that simulates the parking fee for this sentence is

f(x) = 45x + 5

This is because 45x represents the charge per passenger and we are using addition because the $5 minibus parking fee; to enter the parking lot - increases the total cost of the parking fee.

Answer:

Allison is 7 years now, Jenny is 49 yeas now. Check.  13y = 13*7 = 91 will happen in 91-49 = 42 years. Jenny will be 7 + 42 = 49 years old at that time.

Step-by-step explanation:

Answer:

here

Step-by-step explanation:

we can do it by using the formula like

mean; efx÷n

median =n+1÷2

mode =which is more

range=highest-smallest

Answer:

Step-by-stwe can do it by using the formula like

mean; efx÷n

median =n+1÷2

mode =which is more

range=highest-smallestep explanation:

The distance of segment AB is the number of units on the segment

The equation that can be used to determine the coordinates of point B is [tex]5 = \sqrt{(x -6)^2 + (y - 5)^2}[/tex]

The given parameters are:

The distance AB is calculated using:

[tex]AB = \sqrt{(x_2 -x_1)^2 + (y_2 - y_1)^2}[/tex]

This gives

[tex]5 = \sqrt{(x -6)^2 + (y - 5)^2}[/tex]

Hence, the equation that can be used to determine the coordinates of point B is [tex]5 = \sqrt{(x -6)^2 + (y - 5)^2}[/tex]

Read more about distance equations at:

https://brainly.com/question/7243416

Answer:

√(x-6)² + (y-5)²

Step-by-step explanation:

The Distance Formula is √(x2 - x1)² + (y2 - y1)²

If you plug in the known values, you get √(x - 6)² + (y - 5)²

This is our answer.

Answer:

D

Step-by-step explanation:

8x < 24

divide both sides by the coefficient of x

8x/8 < 24/8

x < 3

Answer:

1/16th

Step-by-step explanation:

You can write this problem as a function of time.

Let x be the amount of acetaminophen that you start off with.

Let n be the amount of 2.5 hour intervals that have passed

x*0.5^n

The reason this function works is because with each 2.5 hour interval, you multiply the total product by another 1/2.

Plugging in 4(because 4 2.5 hour intervals in 10 hours), you get:

x*0.5^4,

which is x/16.

This shows that 1/16th of the acetaminophen is left in the body after 10 hours.

Answer: 23

Step-by-step explanation:

Answer:

160 - k dollars

Step-by-step explanation:

Hello!

If Leila has 160 dollars and spends the amount k, then you are therefore subtracting k from 160. This is because you are using the value of k from 160.

So the expression would be 160 - k dollars

Answer:

210

Step-by-step explanation:

First, we keep $150 on the back of our minds(or our paper).

Second, we would assume that Rose's would've designed the flyer at $150, making us determine how much flyers they bought for the remaining $42.

($192 - $150 = $42)

Now that we know all of this, we can begin.

12 x 5 is 60, so 60 cents makes 1 dollar.

So for every dollar, they can make 5 flyers.

If we do 5 x 42, we'll get the answer of 210, which is the amount of flyers she bought!

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve ~

[tex]\qquad \tt \dashrightarrow \:\tt(6x {}^{4} −2x {}^{3} +7x {}^{2} −x) + ( 7x {}^{4} + 2x {}^{3} −5x + 7)[/tex]

[tex]\qquad \tt \dashrightarrow \:\tt6x {}^{4} −2x {}^{3} +7x {}^{2} −x + 7x {}^{4} + 2x {}^{3} −5x + 7[/tex]

Now, move all like terms aside :

[tex]\qquad \tt \dashrightarrow \:6 {x}^{4} + 7 {}x^{4} - 2 {x}^{3} + 2 {x}^{3} + 7 {x}^{2} - x - 5x + 7[/tex]

Add the like terms ~

[tex]\qquad \tt \dashrightarrow \:13 {}x^{4} + 7 {x}^{2} + 6x + 7[/tex]

Answer:

13(x)⁴ + 7(x)²-6(x) + 7

Explanation:

[tex]\hookrightarrow \sf (6x^4 -2x^3+7x^2-x)+(7x^4+2x^3-5x+7)[/tex]

remove the parenthesis

[tex]\sf \hookrightarrow 6x^4-2x^3+7x^2-x+7x^4+2x^3-5x+7[/tex]

group the variables

[tex]\hookrightarrow \sf 6x^4+7x^4-2x^3+2x^3+7x^2-x-5x+7[/tex]

add similar terms

[tex]\sf \hookrightarrow 13x^4+7x^2-x-5x+7[/tex]

simplify

[tex]\hookrightarrow \sf 13x^4+7x^2-6x+7[/tex]

Answer:

3x+2y=24

Y=3

Substitute in the equation

3x+2(3)=24

3x+6=24

3x=24-6

3x=18

X=18/3

X=6

Answer:

3 1/6

Step-by-step explanation:

2+1/3+5/6

(1/3=2/6)

so 3/6+5/6 =  7/6

Answer:

5 year old cat

Step-by-step explanation:

because a kg is about a pineapple