Use the remainder theorem to find P(2) for P(x)=-x^3+3x^2+6.
Specifically, give the quotient and the remainder for the associated division and the value of P(2).

Answer:

y=2(x+6)^2 -59

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find the product of the given fractions in lowest terms, we can multiply the numerators and denominators together, and then simplify the resulting fraction:

(24/18) * (2/17) * (34/3)

First, we can simplify the fractions by reducing any common factors in the numerators and denominators:

24/18 = (212)/(29) = 12/9 = 4/3

2/17 = 2/17

34/3 = (2*17)/3 = 34/3

Now we can multiply the simplified fractions:

(4/3) * (2/17) * (34/3) = (4234)/(3173) = 272/153

The product of the given fractions in lowest terms is 272/153.

f(x) = 4.1/(42.4x-10(x-2)), x-intercept = -4.878, y-intercept = (0,-2.05), asymptotes: vertical at x=2, horizontal at y=0, and slant at y=4.1/8x.

Given: f(x) = 4.1/(42.4x-10(x-2))

To find the x-intercept, we set f(x) to zero and solve for x:

0 = 4.1/(42.4x-10(x-2))

0 = 4.1/(32.4x+20)

0 = 4.1/4.08(x+4.878)

So, the x-intercept is x = -4.878.

To find the y-intercept, we set x to zero and solve for f(x):

f(0) = 4.1/(42.4(0)-10(0-2))

f(0) = -2.05

So, the y-intercept is (0,-2.05).

To write f(x) in the form f(x) = -1/(ax + b) + q, we can simplify the expression as follows:

f(x) = 4.1/(42.4x-10(x-2))

f(x) = 4.1/(32.4x+20)

f(x) = 4.1/4.08(8x+5)

So, a = 8, b = 5, and q = 4.1/4.08.

To draw the graph of f, we plot the x- and y-intercepts and the vertical asymptote x = 2.

We can find the horizontal asymptote by noting that as x becomes very large or very small, the term 10(x-2) dominates the expression, so f(x) approaches 4.1/-10x. Thus, the horizontal asymptote is y = 0.

To find the equations of the slant asymptotes, we divide the numerator by the denominator using long division:

4.1

8x + 5 | 4.1

- 4.1

0

So, the slant asymptote is y = 4.1/8x.

Therefore, the intercepts of f are x = -4.878 and (0,-2.05), and the equation of f(x) in the form f(x) = -1/(ax + b) + q is f(x) = -1/(8x + 5) + 1.0039.

The graph of f has intercepts with the x-axis at x = -4.878 and the y-axis at (0,-2.05), a vertical asymptote at x = 2, a horizontal asymptote at y = 0, and a slant asymptote at y = 4.1/8x.

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Answer:

-16

Step-by-step explanation:

8 - 4 x 2 x 3 =

8 - 24 =

-16 =

Answer:

The surface of the rectangular prism is 42

l × w × h

The length is 3 width is 2 and the height is 3.

Hope this helps have an awesome day❤

There are 45697600 number of different license plates can be manufactured for this state.

The combination is a mathematical technique that is the number of ways to arrange the n number of collections where the order of selection does not matter.

ⁿCₐ= n!/(n-a)!a!

Here given in the question is,

On the license plate, there are 4 letters and 2 numbers.

Since, There are 26 alphabets in English from A to Z for which at position 1, there are 26 possibilities of alphabets at every position by,

²⁶C₁ = 26!/(26-1)!1!

       = 26!/25!1!

       = 26!/25!

        = 26

So, for 4 different positions of letters,

Then, The number of ways is,

⇒ 26×26×26×26 = 26⁴= 456976

And, There are 10 numbers in math for which at position 1, there are 10 possibilities of numbers at every position by,

¹⁰C₁ = 10!/(10-1)!1!

       = 10!/9!1!

       = 10!/9!

        = 10

So, for 2 different positions of numbers, the number of ways is,

= 10×10 = 10²= 100

Thus, The total number of ways the license can be manufactured = 456976 × 100= 45697600

Therefore, 45697600 different license plates can be manufactured for this state.

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Answer: A

Step-by-step explanation:

Answer:

I think the answer is 9 or 11. And its 4 blocks

Step-by-step explanation:

I think she walks 14 blocks to get to her office and 4 blocks to reach the hospital. I had this question too and i figured it out

hope this helped :3

Answer:

To find the volume of this cube, you would have to multiply 1.08 by 5.25 by 3.3 feet. If you did this, you would get: 18.711 feet^3. This is the volume of the rectangular prism.

Hope this helped!

Answer:

its for 13 points- I'm so confused rn

Answer:

First, we rearrange the equation to isolate the y-term on one side:

dy/dx + ytanx = secx

Then, we multiply both sides by the integrating factor, which is e^(∫tanx dx) = e^(ln|secx|) = |secx|: | secx| dy/dx + ysecx tanx = 1

Next, we can write this as the derivative of a product using the product rule: d/dx (y |secx|) = 1

Integrating both sides with respect to x, we get:  y |secx| = x + C

where C is the constant of integration. Solving for y, we have:

y = (x + C)/|secx|

Note that there is a singularity at x = (2n + 1)π/2, where the denominator |secx| is zero. At these points, the solution is not defined

Answer:

  6(5 +13) = 108

Step-by-step explanation:

The GCF can be found by considering the factoring of the two numbers:

  30 = 2·3·5

  78 = 2·3·13

The greatest common factor is 2·3 = 6. Then the sum is ...

  30 +78 = 6(5 +13) = 6(18) = 108

Answer:

The maximum profit the florist will earn from selling celebration bouquets is $725.

The florist will break-even after one-dollar decreases when her profit is zero. From the graph, this occurs at x = 10. So the florist will break-even after 10 one-dollar decreases.

The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is (0, 10). This is because the profit is positive for values of x between 0 and 10, and becomes negative after 10.

Step-by-step explanation:

Answer:

The value is  \(P(O) = 0.3481\)

Step-by-step explanation:

From the question we are told that  

   The  proportion of people that own a dog is \(p = 0.59\)

Generally the probability of the two selected people owning a dog is mathematically evaluated as

      \(P(O) = p^2\)

      \(P(O) = (0.59 )^2\)

      \(P(O) = 0.3481\)

Answer:Hi

Step-by-step explanation: like this comment for good luck

The distance from Kano to Lagos is 1200 km

The problem involves addition of fractions

The fraction required are:

let the distance form kano to Lagos be x

it was discovered that a driver has travelled 3/8 = 3x/8

another driver had travelled 3/10 of that distance = 3x/10

The drivers are still 390 km apart

total distance, x

x = 390 + 3x/8 + 3x/10

x - 3x/8 - 3x/10 = 390

0.325x = 390

x = 390 / 0.325

x = 1200 km

From the driving distance information 1200 km is the distance from Kano to Lagos

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Answer:

644.67 in^2 remaining

Step-by-step explanation:

So first find the area of this rectangle

rectangle area formula= A=LW

35*26=910

Now we have to find the semi circle value

so we know the diameter is 26 becuase the 2 sides (26 in) are equal and if you fill in the circle the diameter is still 26

A circle formula is

A= π*radius^2

So to find radius divide the diameter by 2

26/2=13

now 13^2=169

Now 169 *3.14 since asked that pi is 3.14

169*3.14=530.66

But Thats the whole circle

The circle that seems to be cut off is half of the original Circle so we half the original circle

530.66/2=265.33

Now we subtract that from the original

910-265.33=644.67

So

644.67 In^2

Answer:

Peter will pay:

the insurance company will pay:

The deductible refers to the amount of money an insured has to pay before the health insurance company starts to pay partially or completely for your health treatment. deductibles are commonly used for other types of insurance policies also, including auto insurance.

Answer:

$252

Step-by-step explanation:

edge 2022

*Answer*

15:47

Step-by-step explanation:

He left; 15:03

Walk for; 12mins

Spends extra;4min

So by my side,

I'll sum up those values we're having to find the total time that was spent

12+4= 16mins

So, at that time when he reached at the station it was 15:19 when we add those extra mins

And so I think it'll 15:47

My thought told me so though

Answer:

100

Step-by-step explanation:

2.8/n = 0.028

2.8/0.028 = n

100 = n

let's convert those $1.60 to pennies, that's 160 pennies, now, let's divide those 160 by (5 + 3) and distribute between the girls accordingly

\(\stackrel{Girl1}{5}~~ : ~~\stackrel{Girl2}{3} ~~ \implies ~~ \stackrel{Girl1}{5\cdot \frac{160}{5+3}}~~ : ~~\stackrel{Girl2}{3\cdot \frac{160}{5+3}} ~~ \implies ~~ \stackrel{Girl1}{5\cdot 20}~~ : ~~\stackrel{Girl2}{3\cdot 20} \\\\\\ \stackrel{Girl1}{100}~~ : ~~\stackrel{Girl2}{60}\qquad \textit{one girl got \underline{40 more cents } than the other girl}\)

Answer:

Step-by-step explanation:

a)

(x - r)² + (y - s)² = t²

b)

(x - 7)² + (y + 4)² = 10²

Domain = r - t = 7 - 10 = -3

and           r + t = 7 + 10 = 17

[-3, 17]

Range = s - t = -4 - 10 = -14

and        s  + 1 = -4 + 10 = 6

[-14, 6]

c)

yes, point (9,1) is inside the border of the circle.

x = 9 is in the domain and y = 1 is in the range.

But also, (9 - 7)² + (1 + 4)² = 29 < 10²

Answer:

6 months

Step-by-step explanation:

We can set up an equation based on his monthly savings to find out how long it will take for Hatif to reach $630 in his account.

Let's assume it takes Hatif "n" months to reach $630 in his account. Each month, he saves $80.

The equation representing the situation is:

$150 + $80n = $630

Now, let's solve for "n":

$80n = $630 - $150

$80n = $480

n = $480 / $80

n = 6

Therefore, it will take Hatif 6 months to reach $630 in his account.

\(-2x+6=12\\2x=-6\\x=-3\)

Answer:

Step 1: Find the prime factorization of the number inside the radical. Step 2: Determine the index of the radical. In this case, the index is two because it is a square root, which means we need two of a kind. Step 3: Move each group of numbers or variables from inside the radical to outside the radical.

Answer:

C

Step-by-step explanation:

The red dotted line we see is the asymptote, which is a line that the functions will never cross.

The asymptotes we see currently is:

x = -3

and

x = 2

We can find the vertical asymptotes using the denominator of the function since the x value that makes the denominator 0 is the asymptote. Since -3 and 2 is the asymptote, the denominator of the function will be:

(x-2) (x+3)

If we look at the answer choices, we can see that C is the only option with a denominator of (x-2)(x+3), so that is our answer.

Answer:

C

Step-by-step explanation:

there are 2 vertical asymptotes at x = - 3 and x = 2

then the factors on the denominator will be (x + 3) and (x - 2)

then

f(x) = \(\frac{1}{(x-2)(x+3)}\)