If (x+ 4) is a factor of polynomial p, which statement must be true?
A. P(-4) = 0
B. p(4) < 0
C. p(4) = 0
D. P(-4) > 0

Answer:

Yes

Step-by-step explanation:

It is because function can be many to one but it cannot be one to many.

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Explanation:

x = number of years since the year 2000

eg: x = 1 represents the year 2001

y = value of the car in dollars

The point (x,y) = (0,29600) is on the curve and it's the y intercept. This is when Hailey bought the car with a value of $29600.

Another point on this curve is (7,12000) to indicate seven years have passed and the car is now worth $12000.

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Since the y intercept is 29600, this is the value of 'a' in the equation

y = a*b^x

Meaning we can update it to

y = 29600*b^x

Plug in the coordinates of the other point so we can solve for b

y = 29600*b^x

12000 = 29600*b^7

12000/29600 = b^7

b^7 = 12000/29600

b^7 = 0.405405

b = (0.405405)^(1/7)

b = 0.878991 approximately

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We found that

So we go from

y = a*b^x

to

y = 29600*0.878991^x

To verify this, plugging x = 0 should lead to y = 29600

Also, plugging in x = 7 should lead to y = 12000 or very close to it.

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The last step is to plug in x = 12 to find the car's value in 2012, i.e. x = 12 years after the year 2000.

So,

y = 29600*0.878991^x

y = 29600*0.878991^12

y = 6296.58182216087

y = 6297

The predicted car's value in 2007 is about $6297

Answer:

Step-by-step explanation:

I'm not sure that my answer is correct but i got 45

Answer: graph 3

Step-by-step explanation:

Step-by-step explanation:

1. cos x sec x

Secant is the inverse of cosine.

= cos x (1 / cos x)

= 1

2. sin x csc x

Cosecant is the inverse of sine.

= sin x (1 / sin x)

= 1

Answer:

c = 51, 9

Step-by-step explanation:

hope this helps

have an awesome day -TJ

Answer:

4.0 g/ml

Step-by-step explanation:

[tex] Volume_X [/tex] = water displaced by X

Water displaced by object X = Final fluid level - Original fluid level

Water displaced by object X = 90 ml - 65 ml = 25 ml

[tex] Volume_{X} = 25 ml [/tex]

Density of rock:

100 grams => 25 ml

x grams => 1 ml

Cross multiply

x*25 = 1*100

25x = 100

25x/25 = 100/25

x = 4

Density of object X = 4 g per 1 ml = 4.0 g/ml

Answer:

4

Step-by-step explanation:

Find the number in the whole number place  

3

and look one place to the right for the rounding digit on the right side of the decimal point  

9

Round up if this number is greater than or equal to  

5

and round down if it is less than  

5

Answer:

$441.60

Step-by-step explanation:

Invoice amount: $460

Term 4/10= 4% discount if paid early within the first 10 days of the invoice date

Amount due: $441.60

Discount amount: $18.40

Invoice amount: $460

Term: 1/15= 1% discount if paid early within the first 15 days of the invoice date

Amount due: $455.40

Discount amount: $4.60

Invoice amount: $460

Term: n/30= no discount if paid on or after the 30 days from the invoice date

Amount due: $460

Discount amount: $0

Answer:

4329deg/360deg=12 revolutions

Step-by-step explanation:

Using an exponential function, it is found that:

It is modeled by:

[tex]y = ab^x[/tex]

In which:

In this problem:

Thus, the equation is: [tex]y = 5(3)^x[/tex]

16 hours later, the amount is:

[tex]y = 5(3)^{16} = 215233605[/tex]

After 16 hours, there would be 215,233,605 tribbles.

8 hours later, the amount is:

[tex]y = 5(3)^{8} = 32805[/tex]

After 8 hours, there would be 32,805 tribbles.

More can be learned about exponential functions at https://brainly.com/question/25537936

Answer:

85?

Step-by-step explanation:

1008/12 =85  (amount per year/ 12 months) unless it is more complicated than that

Answer:

  l={5,9,76,333,4,99,1000,2}

Step-by-step explanation:

All of the elements of C are contained in ...

  l = {5, 9, 76, 333, 4, 99, 1000, 2}

Answer:

-4000000

Step-by-step explanation:

Answer:

it would be x=11

Step-by-step explanation:

thus is 100% right

Answer:

2x+12=24

first you subtract 12 from both sides

2x+12=24

-12. -12

The 12-12 should cancel itself, the rest of the equation you bring down to get

2x=12 (because 24-12=12)

Now you have 2x=12.
you then divide 2x by both sides.

2x=12

/2x=/2x

The 2x/2x cancels itself out so you then solve for 12/2x.

For this you just divide 12/2 which is 6!

x= 6 is your final answer.
to check this equation you can plug your number back into x to see if it is true! 2(6)+12=24.
6 times 2 is 12 and 12+12 is 24 so your answer (6) is true!

hope this helps! :D

Answer:

[tex]X = 6[/tex]

Step-by-step explanation:

[tex]2x + 12 = 14[/tex]

     [tex]-12[/tex]  [tex]-12[/tex]

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

      [tex]\frac{2x}{2} = \frac{12}{2}[/tex] = [tex]x = 6[/tex]

1. Set the equation up.

2. isolate the x from 2x then do the opposite of 12 to -12

3. subtract from 14

4. make proportion.

5. divide both sides.

6. [tex]Answer= x=6[/tex]

hope this helped :) have a great night.

Answer: Governor A gets $198,042.5 dollars. Governor B gets $99,672.5 Dollars

Hope this helps!!!

Step-by-step explanation:

mark me brainliest please

Answer:

in total she made 330.03$

Step-by-step explanation:

in total she made 57 pants and she paid 5.79 for each so you multiply and get the total

Answer:

x = 129.8 degrees,  y = 50.2 degrees,    x + y = 180

Step-by-step explanation:

Let's say you have 2 supplementary angles, x and y

So x + y = 180

if x is 79.8 degrees less than the measure of a supplementary angle, then x = y - 79.8

Putting this into our x + y = 180 equation, we get

(y - 79.8) + y = 180

2y - 79.8 = 180

2y = 180 + 79.8

2y = 259.8

y = 259.8/2 = 129.9 degrees.

so x = 129.9 - 79.6 = 50.3 degrees.

See if it worked. x = 129.9 degrees,  y = 50.3 degrees,    x + y = 180 so we found the correct two angles! :-)

Answer:

0. 5

Step-by-step explanation:

its lyk two × 1 equals to 2 divide by 4

Step-by-step explanation:

(2×1)÷4. multiply 2 by 1 according to BEDMAS Rule

2÷4. Divide 2 by 4

0.5.

Answer:

m∠2 is 55°

Step-by-step explanation:

Let us revise some facts in geometry

We will use these facts to solve our question

∵ ∠1 is an angle of a triangle

∴ m∠1 + 40° + 85° = 180° ⇒ 1st fact

→ Add the like terms in the left side

∴ m∠1 + 125° = 180°

→ Subtract 125° from both sides

∴ m∠1 + 125° - 125° = 180° - 125°

∴ m∠1 = 55°

∵ ∠1 and ∠2 formed from the intersecting of two lines

∴ ∠1 and ∠2 are vertically opposite angles

∴ m∠1 = m∠2 ⇒ 2nd fact

∵ m∠1 = 55°

∴ m∠2 = 55°

Answer:

3.5

Step-by-step explanation:

the original probability is 7/6 favoring odd

Answer:

Let the first number be f.

Let the second number be s.

f = s-12

f+s = 100

Substitute the f in the first equation for the second equation.

s-12+s = 100

2s-12 =100

2s = 112

s = 56

Therefore f = 56-12 = 44

The 2 numbers are 56 and 44.

Answer:

4 divided by 3 will be your answer

Answer:

4 divided by 3

Step-by-step explanation:

Given;

what is a division word problem that can be represented by 4/3

Solve;

/ = ÷ or divide

Thus, 4 divided by 3 or Four divided by three.

Division word problem:

The family equally shares 4 boxes of pizza among 3 people

~Learn with lenvy~

Answer:

use this formula 2 pie r square

Answer: g(a) = 4(-2) - 3 = -8 - 3 = -11

Step-by-step explanation: your welcome. :)

Answer:

-11

Step-by-step explanation:

g(a) = 4a -3

g(-2)= 4(-2)-3

g(-2)= -8-3

g(-2)= -11