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tatuchka [14]
2 years ago
15

Question 10 of 10

Mathematics
1 answer:
user100 [1]2 years ago
7 0

The quotient of the division using the long division rule is 4x^2 - x + 3

<h3>Synthetic division of functions</h3>

Polynomial functions are functions that has a leading degree of 3 and above. Given the following parameters.

Dividend = 4x³+ 11x2 +9

Divisor = x + 3

Using the synthetic division to determine the quotient

        4x^2 - x + 3

x+3 | 4x³+ 11x2 +9

        4x³ + 12x²

__________________

               -x² + 0x

               -x² - 3x

___________________

                       3x+9

                       3x+9

___________________

                       -------

Hence the quotient of the division using the long division rule is 4x^2 - x + 3

Learn more on synthetic division here: brainly.com/question/18788426

#SPJ1

You might be interested in
Find x.<br><br> special 17<br><br> A. 22<br> B. 113√2<br> C. 116√2<br> D. 33
vladimir1956 [14]

The value of x in the triangle is (a) 22

<h3>How to solve for x?</h3>

The complete question is in the attached image.

From the attached image of the triangle, we have:

\sin(45) = \frac{x}{22\sqrt 2}

Evaluate sin(45)

\frac{1}{\sqrt 2} = \frac{x}{22\sqrt 2}

Solve for x

x = \frac{22\sqrt 2}{\sqrt 2}

Divide

x = 22

Hence, the value of x is (a) 22

Read more about special triangles at:

brainly.com/question/654982

#SPJ1

7 0
2 years ago
Use the distributive property to simplify the expression. 8(3 + 4) = 24 +
Marina CMI [18]
Using the distributive property is done by multiplying the factor (outside the parentheses) to each term within it. In this case, 8(3 + 4), we multiply the 8 by 3, and then add it to the product of 8 x 4:
8(3 + 4) = 8 x 3 + 8 x 4 = 24 + 32
If we need to simplify further, this adds up to 56.
9 0
3 years ago
Read 2 more answers
-8 x+3=-29 what is x?
kykrilka [37]

Answer:

x=4

Step-by-step explanation:

To solve for x, use inverse operations:

-8x+3 = -29               Subtract 3 from both sides

-8x +3 -3 = -29 -3

-8x = -32                    Divide both sides by -8

x = 4

3 0
3 years ago
At an art exhibition there are 12 paintings of which 10 are original. A visitor selects a painting at random and before decides
Reika [66]

Answer:

a) 0.8333

b) 0.75

c) 0.8181 or 0.9090

Step-by-step explanation:

a)

The probability the visitor selects an authentic painting is  

10/12 = 0.8333

b)

Since the opinion of the expert does not depend on your choice, the events are <em>independent</em>, so the probability that the expert says is authentic and it really is, is

0.8333*0.9 = 0.75

c)

If the expert decides the painting is a copy and it is not, then there are 11 paintings of which 9 are authentic, so the probability the visitor selects a new original painting is

9/11= 0.8181

If the expert decides the painting is a copy and it is, then there are 11 paintings of which 10 are authentic, so the probability the visitor selects a new original painting is

10/11= 0.9090

8 0
4 years ago
F(x) = 3x + 6. Find the inverse of f(x).
Levart [38]

Answer:

\tt C) \:\tt f^{-1}(x)=\cfrac{x-6}{3}

Step-by-step explanation:

We're given,

\tt f(x) = 3x + 6

~

\tt y=3x+6

\tt x=3y+6

\tt x-6=3y

\tt y=\cfrac{x-6}{3}

\tt f^{-1}(x)=\cfrac{x-6}{3}

~

3 0
2 years ago
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