Which equation is true for the value x = 15?

Answer:

p(x) = x^2 - 8x + 41

Step-by-step explanation:

If a polynomial with rational coefficients has a complex root, then the roots come in complex conjugate pairs. If the polynomial we need to find has the root 4 - 5i, then it must also have its complex conjugate 4 + 5i as a root.

p(x) = [x - (4 - 5i)][x - (4 + 5i)]

p(x) = [(x - 4) + 5i][(x - 4) - 5i]

Now it's a difference of two squares.

p(x) = (x - 4)^2 - (5i)^2

p(x) = x^2 - 8x + 16 + 25

p(x) = x^2 - 8x + 41

Answer:

Step-by-step explanation:

f(x)  = 2x² + 14x - 4

= 2(x² + 7x) - 4

= 2(x² +7x + 3.5²) - 2(3.5²) - 4

= 2(x+3.5)² - 28.5

vertex (3.5, -28.5) = (7/2, -57/2)

The vertical intercept is the y-intercept, i.e., f(0) = -4.

The x-intercepts are the values of x for which y=0.

2x² + 14x - 4  = 0

x = [-14±√(14²-4(2)(-4))]/[2(2)] = [-7±√57]/2 ≅ -7.27, 0.27

Answer:

A

Step-by-step explanation:

use the formula A=pi*r^2 to find the answer

Answer:

34.54 ft2

Step-by-step explanation:

You could figure it out by simply it

Answer:

20% increase

Step-by-step explanation:

All you have to do is divide 72 by 90n and it will give you .8, move the decimal two places to the right to give you 80 and subtract 80 from 100 to get 20

Answer:

B

Step-by-step explanation:

Answer:

is this statistics? i will change my answer once u explain to me thank you.

Step-by-step explanation:

Answer:

Its infinite

Step-by-step explanation:

Answer:

Sorry I don't know this.

Step-by-step explanation:

Answer:

wheel: radius=3/2  diameter=3  circumference=3pi

propeller: radius=24  diameter=48  circumference=48pi

orange: radius=10/pi  diameter=20/pi  circumference=20

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

it's a 45-45-90 triangle, so the legs are the same length and the hypotenuse is the leg length times the square root of 2. Therefore y=6 and x=6*sqrt2

Answer:

12 50 I don't know

Step-by-step explanation:

Answer:

5/6

Step-by-step explanation:

Answer:

B. {(x, y): y = x²}

Step-by-step explanation:

A function is a graph where every input (x-value) has one and only one output (y-value). In other words if the value for x=2, there will only be one corresponding point for y. For the function in B, that y-value would be 4. Both A and D, solve for y, means taking the square root which leaves a +/- x-value. C is absolute value of y, which means the positive and negative values for y would have the same point. Only choice B has x-values corresponding to a singular y-value. If you can remember what these graphs look like you can test if they are functions based on the vertical line test.

Answer:   26

Step-by-step explanation:

5×6 - 8 ÷2​

= 30 - 8 ÷2​

= 30 - 4

= 26​

Answer:

26

Step-by-step explanation:

so we start off with 5x6 from PEMDAS so 5x6 = 30

then we have 8 divided by 2 = 4

30-4 = 26

Answer:

A= -2

Step-by-step explanation:

Hope I helped!! Negitive 2

Answer:

43.96

Step-by-step explanation:

Well, the first step is finding out the diameter. And then the basic outline is d x 3.14. So I simply just punched in 14 x 3.14 in my calculator.

Answer:

14π cm

Step-by-step explanation:

Circumference of the circle

= 2πr

= 2π(14/2)

= 14π cm

Answer:

60 minutes which grade

are you in I did it I think

Step-by-step explanation:

I Finish Work in 2 hrs

Work done in 1 Hr = 1/2

Brother Finish work in 3 Hrs Work done in 1 hr = 1/3

Let Say both Complete Work in T hrs as it has to be painted on both sides

Then T (1/2+1/3) = 2

=> T × 5/6 = 2

=> T = 2 Hr 24 Mins

=> T = 12/5 I will Take 2 Hrs to finish my work & 24 Mins to finish after start Helping

Learn more here:

Ajay along with Vijay do a work in 10 days. If Ajay do a work in 1/2...

Atul, Bhaskar and Chetan can complete a work in 10, 20 and 25..

10 men can complete a job in 200 days. They started the work. After...

Answer:

Undefined or no values (assuming no negative zero)

Step-by-step explanation:

The absolute value of a number (a) keeps/turns it positive. A positive number can never be equal to a negative number.

Answer:

x = 35°

Step-by-step explanation:

180 - (40+40) = 2x+30

180 -80 = 2x+30

100 = 2x+30

2x = 100-30

x = 70/2

x = 35°

Answer:

B

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

because they are telling you that the 7th graders were randomly chosen out of everyone who rides in a car to school to be fractioned out.

Answer:

uhhhhhhhhh help with what ?

Hyp²=ADJ²+OPP²

28²=17²+X²

784=289+x²

x²=784-289

x²=495

x=22

here is your answer 22

Answer:

Step-by-step explanation:

a)

2.64÷3.3  ( said  2.64 divided by 3.3)

3.3√2.64  ( yes I know it's not the division sign but it's as close as we can get)

2.64 / 3.3

All three representations  are the same. each say  divide 2.64 by 3.3. If you're thinking that last one looks more like a fraction, you're right, but.. that's also what that means.   I'm showing these different ways to express the idea of division b/c it's part of what is involved with showing the work and understanding it.

so, to do the above let's move the decimal point to the right .. and do we want to move it one or two places.  :?  one because of 3.3 or two , because of 2.64, well we want to move it so we don't have to think about it in the problem... so move it the biggest amount that you need to, get the the decimil out of both numbers.. since the 2.64 needs two moves to the right of the decimal... use 100 times  to move it 2 places, If you needed 3 then use 1000, 4 , 10,000 ect ect... see the pattern?

so

100(3.3 √ 2.64 )

move the decimal point in both 2 places right

330.0 √ 264.0

I put the extra zeros in, just so you can see the decimal easy.  The zeros to the right of the decimal make no difference here.

now I'll know to put the number that I use to divde with above the zero,  of 264.0  .. and i'll think about how many times 3 goes into 26 ,without going over.  3*8 = 24 so I want an 8

    ↓ ←   ←  ← 0.8

330.0 √ 264.0      ( multiply  8 * 330 = 2640 )

    ↓ →   -264 .0      ( subtract 2640 from the number above )

                       0

you are done with that one, since there is zero left over and   0.8 is the answer

b)

0.324 ÷ 0.27

0.27 √ 0.324

0324 / 0.27

1000( 0.27 √ 0.324)

270 √ 324.0

  ↓  ←  ←  1.2

270 √ 324.0

 ↓→   - 270   ( multiply by the 1 )

 ↓    =      54

 ↓→       - 540  (multiply by the 2 )

                  0

since there is zero left over you are done. The answer is  1.2

C)

0.32 ÷ 0.16

0.16 √ 0.32

100(0.32 / 0.16)

↓ ←   2

16 √32

↓→  -32  ( multiply 16 * 2 = 32 )

         0

zero left over you are done.  the answer is 2 :)

d)

16.92 ÷ 9.4

9.4 √ 16.92

100(16.92 / 9.4)

  ↓   ←  ←  1.8

940 √1692.0

 ↓→→ - 940       (multiply by 1 )

 ↓        7520

 ↓→  -  7520      (multiply by 8 )

                 0

since there is zero left you are done,  The answer is  1.8

that was a lot, really nobody has talked or told you how to do this before?  

where is your teacher?  :/  

Answer:  4

Step-by-step explanation:

2(12) + 6n ≥ 50

24 + 6n ≥ 50

6n ≥ 26

  n ≈ 4

The maximum number of tubes of paint that Kevin can buy is 4.

Answer:

He can make 4 tubs

Step-by-step explanation:

5 = (20%) x (total)

5 = (0.20) x (total)

Divide each side by (0.20):

Total = (5 / 0.20)

Total = 25

Answer:

p = 16.8

[tex] r \geqslant 5.5[/tex]

Step-by-step explanation:

12)

p + 2.1 = 18.9

p = 18.9 - 2.1

p = 16.8

13)

[tex]r \geqslant 5.5[/tex]

Answer:

Presumably this is a multiple choice question, and without seeing the potential answers, we can't tell you which ones are correct.

A few things can however be said about this function:

1) It describes a parabola that extends upward infinitely.  We can see this because it's in the classic format ax² + bx + c, and all terms are positive.

2) We can find the x-intercepts by solving for zero.  In this case we can do that by factoring it:

x² + 9x + 18 = 0

x² + 3x + 6x + 18 = 0

x(x + 3) + 6(x + 3) = 0

(x + 6)(x + 3) = 0

So the x intercepts occur at (-6, 0) and (-3, 0)

3) we can find its vertex by taking its derivative and solving for zero:

f'(x) = 2x + 9

0 = 2x + 9

x = -4.5

We can then plug that coordinate into the original function to find the y coordinate:

f(x) = x² + 9x + 18

f(-4.5) = 20.25 - 40.5 + 18

= -2.25

So the vertex is at (-4.5, -2.25)

4) As mentioned, the derivative of f(x) is f'(x) = 2x + 9.  The integral is:

x³ / 3 + 9x² / 2 + 18x + C

Answer:

Square, Quadrilateral, Rhombus, Rectangle

Step-by-step explanation: