Use the remainder theorem and synthetic division
to find the value of f(3) if f(x) = x^3 - 6x^2 + 13x - 11

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Show the steps of the synthetic division!

Answer:

y-intercept = 2/3

Slope = 0

Step-by-step explanation:

Equation of Line is y=mx+c

where m is the Slope

and c is the y-intercept

so for our Problem

y=2/3

which can be rewritten as y=0x+2/3 (y=mx+c)

so Slope =m=0

and y-intercept = c = 2/3

The probability defined as P(A and C) is the probability of P(A) × P(B) = (0.6 × 0.3) = 0.18

The probability of A ; P(A) from the tree diagram is 0.6

The probability of B ; P(B) from the tree diagram is 0.3

The probability, P(A and B) equals ;

P(A) × P(B) = 0.6 × 0.3 = 0.18

Therefore, probability of A and B is 0.18

4x+5=21

4$ each ticket that means 4x plus 5$ the handling fee

= the total cost 21 $

Answer:

[tex]x\geq 12[/tex]

x is greater than or equal to 12

Step-by-step explanation:

We first start off with recognizing that this is an inequality, and that the answer choices involve solving for [tex]x[/tex].

I suggest that you write out the steps one-by-one and don't skip any so that making a mistake is less likely.

Rewrite the original equation:

[tex]-\frac{3}{4}x + 2 \leq -7[/tex]

Use reverse PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction) order to isolate [tex]x[/tex]:

Subtract 2 from both sides: [tex]-\frac{3}{4} x \leq -9[/tex]

Divide both sides by [tex]-\frac{3}{4}[/tex] (this flips the inequality symbol since we're dividing by a negative number): [tex]x\geq 12[/tex]

Your final answer is:

[tex]x \geq 12[/tex]

x is greater than or equal to 12

If you want to do any further reading on this topic, search up videos and other helpful resources by putting, "Solving Inequalities" into your preferred search engine.

Answer:

908 feet²

Step-by-step explanation:

To paint walls, we will be looking for surface area.

      Since this is a room and we have three measurements, we can assume there will be the floor, the ceiling, and four walls. This means we will be looking for 6 sides in total.

-> See attached for a diagram I made of the sides we need

-> Keep in mind opposite pairs of walls will be the same, and the floor and ceiling will be the same.

      We end up with the following sides:

          11 * 12

          11 * 12

          11 * 14

          11 * 14

          12 * 14

          12 * 14

      We can simplify this to the following:

(2(11 * 12)) + (2(11 * 14) + (2(12 * 14) = 908 feet²

908 feet² must be covered with paint.

Answer: it makes 126 copies

Explanation:

15/60=6/24

5x24=120

6+120= 126

Step-by-step explanation:

4x - 2y = 8

y = -2

4x -2(-2) = 8

4x + 4 = 8

4x = 4

x = 1

Answer:

792 cm

Step-by-step explanation:

8*9*11=792

72*11=792

72+720=792

Answer:

The answer is 396 i hope it helps!

The code for Escape Room is MCYHW.

Inequalities is a mathematic expression that do not present equalitiy between both sides. It is represented by symbols: <, ≤, > and ≥.

For solving this exercise, firstly, you should solve the inequalities identified by letters: H, W, M, Y and C. After that, you should relate yours anwers with the options given for the exercise.

                       [tex]-11x-4 > -15\\ \\ -11x > -15+4\\ \\ -11x > -11\; *(-1)\\ \\ 11x < 11\\ \\ x < 1[/tex]

Therefore, you should connect H with x<1.

                       [tex]32 > -16x\\ \\ Rewriting \\ \\ -16x < 32 \\ \\ -16x < 32\; *(-1)\\ \\ 16x > -32\\ \\ x > \frac{-32}{16} \\ \\ x > -2[/tex]

Therefore, you should connect W with x>-2.

                       [tex]3+x\leq -9\\ \\ x\leq -9-3\\ \\ x\leq -12[/tex]

Therefore, you should connect M with x≤-12.

                       [tex]-7x+7\leq -56\\ \\-7x\leq -56-7\\ \\ -7x\leq -63\\ \\ -7x\leq -63\; *(-1)\\ \\ 7x\geq 63\\ \\ x\geq \frac{63}{7} \\ \\ x\geq 9[/tex]

Therefore, you should connect Y with x≥9.

                       [tex]-20\geq -5x+15\\ \\Rewriting\\ \\ 5x+15\leq -20\\ \\ -5x\leq -20-15\\ \\ -5x\leq -35\\ \\-5x\leq -35\; *(-1)\\ \\ 5x\geq 35\\ \\ x\geq \frac{35}{5} \\ \\ x\geq 7[/tex]

Therefore, you should connect C with x≥7.

Thus, the sequence is:

M - [tex]x\leq -12[/tex]

C - [tex]x\geq 7[/tex]

Y- [tex]x\geq 9[/tex]

H- [tex]x < 1[/tex]

W- [tex]x > -2[/tex]

Read more about inequalities here.

https://brainly.com/question/25275758

Answer:

$2.67

Step-by-step explanation:

You would do 8/3 which is 2.666666667 which when rounded to the nearest hundredth is 2.67

Hope this helps!

Answer:

12%

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

Isosceles trapezoids have supplementary opposite angles

180 - 60 = 120

Both angle D and angle C are 120

Answer:

I think its 5e = 18

I hope this helped! :)

Answer:

23 eggs

Step-by-step explanation:

e-5 = 18

e = 18+5

=23

Answer:

Step-by-step explanation:

8x + 2 + 70 + 60 = 180   {angle sum property of triangle}

8x + 132 = 180

         8x = 180 -132

        8x = 48

        x = 48/8

x = 6

Here, we are given a triangle with 2 of its angle , the third angle is in the form of variable equation .

We will use the angle sum property of triangle to find the value of variable i.e x in the given triangle.

Here,

➙ ∠A = 70°

➙ ∠B = 60°

➙ ∠C = 8x + 2

It states that the sum of all angles of a triangle is 180°

‎ㅤ‎ㅤ‎ㅤ➙ ∠A + ∠B + ∠C = 180°

‎ㅤ‎ㅤ‎ㅤ➙ 70° + 60° + ∠C = 180°

‎ㅤ‎ㅤ‎ㅤ➙ 130° + ∠C = 180°

‎ㅤ‎ㅤ‎ㅤ➙ ∠C = 180° - 130°

‎ㅤ‎ㅤ‎ㅤ➙ ∠C = 50°

‎ㅤ‎ㅤ‎ㅤ➙ 8x + 2 = 50 ‎

‎ㅤ‎ㅤ‎ㅤ➙ 8x = 50 - 2

‎ㅤ‎ㅤ‎ㅤ➙ 8x = 48

‎ㅤ‎ㅤ‎ㅤ➙ x = 48 / 8

‎ㅤ‎ㅤ‎ㅤ➙ x = 6

Answer: X=5/8

Step-by-step explanation:

2*x-1/4-(1)>0

Step 1 Simplify: 1/4

(2x-1/4)-1>0

Step 2 Rewrite the whole number in an equivalent fraction:

(Subtract a fraction from a whole)

2x=2x/1=2x*4/4

Adding Fractions that have a common denominator:

2x*4-(1)/4=8x*1/4

The equation at the end of step 2:

(8x-1)/4-1>0

Step 3 Rewrite the whole as an equivalent fraction:

1=1/1=1*4/4

Adding Fractions that have a common denominator:

(8x-1)-(4)/4=8x-5/4

The equation at the End of Step 3:

8x-5/4>0

Step 4:

Multiply both sides by 4 then Divide both sides by 8.

So the answer is

x>5/8

I know it seems a lot but it's just the way I learned it. I hope you understand.

Answer:

Answer:

[tex]x = 10.5[/tex]

Solving steps:

3 1/2 = 5, x = 15

divide 3.5 by 5

=> 0.7

0.7 by 15

=> 10.5

Answer:

8

Step-by-step explanation:

Exponent of x = 6

Exponent of y = 2

Degree of the monomial = 6 + 2 = 8

Answer:

4c-8 or 4c+(-8)

Step-by-step explanation:

4xc- 4x2

Answer:

4c - 8

Step-by-step explanation:

4(c-2)

4c - 8

you have to multiply the 4 by each one in the bracket

but c is a variable so you dont know what number it is. so you just write 4c because that means 4 times whatever c is

Answer:

1. 3x^3(x+5)(x-5)

2. (9c+4)^2

3. 3x^2 + 2x +5

4. (5x-9)^2=0

Step-by-step explanation:

The tower will work within next 11 miles inasmuch the drives moves through the road.

The maximum distance corresponds to the radius of the tower ([tex]r[/tex]), in kilometers, the east direction corresponds to the +x semiaxis and the north direction corresponds to the +y semiaxis. The angle and magnitude of the rest stop are found below:

[tex]l = \sqrt{5^{2}+12^{2}}[/tex]

[tex]l = 13[/tex]

[tex]\theta = \tan^{-1}\left(\frac{12}{5} \right)[/tex]

[tex]\theta \approx 67.380^{\circ}[/tex]

To determine distance within the cellular phone tower works we need to solve the following system of linear equations representing vector components:

[tex]5 + x = 20\cdot \cos \theta[/tex]  (1)

[tex]12 = 20\cdot \sin \theta[/tex]   (2)

By (2):

[tex]\theta = 36.869^{\circ}[/tex]

By (1):

[tex]x = 11[/tex]

The tower will work within next 11 miles inasmuch the drives moves through the road. [tex]\blacksquare[/tex]

To learn more triangles, we kindly invite to check this verified question: https://brainly.com/question/25813512

The x-intercept is when the value of the y-coordinate is 0.

   [tex]x - 0 = 12\\ x = 12[/tex]

Thus the x-intercept is at (12,0).

The y-intercept is when the value of the x-coordinate is 0

   [tex]0-y=12\\y = -12[/tex]

Thus the y-intercept is at (0,-12)

Answer:

the answer is 160 that the answer

Answer:

14/16? is this correct or would it be 3.5/4. Also what kind of Math is this.

Step-by-step explanation:

Answer:

[tex]\frac{43}{100}[/tex]

Step-by-step explanation:

Think of it as a percentage. 43% is [tex]\frac{43}{100}[/tex] , but it is also 0.43. Any number over 100 will be put into a similar decimal format ([tex]\frac{12}{100}[/tex] = 0.12  and [tex]\frac{4}{100}[/tex] = 0.04)

The fraction with a denominator of 100 is equivalent to 0.43 is,

[tex]\frac{43}{100}[/tex].

Here,

We have to find fraction with a denominator of 100 is equivalent to 0.43.

What is Fraction?

A fraction is used to represent the portion/part of the whole thing.

Now,

Let a fraction with a denominator of 100 is [tex]\frac{x}{100}[/tex].

And, its equivalent to 0.43.

Hence,

[tex]\frac{x}{100} = 0.43[/tex]

[tex]x = 43[/tex]

So, A fraction with a denominator of 100 is [tex]\frac{43}{100}[/tex].

Which is equivalent to 0.43.

Learn more about the Fraction visit:

https://brainly.in/question/5112127

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Answer:

3

Step-by-step explanation:

Answer:

7.5

Step-by-step explanation:

Sum of a geometric series,

[tex] \frac{a _{1}(1 - r {}^{n} ) }{1 - r} [/tex]

Where a1 is the first term, R is the common ratio, n is the number of terms.

a1 is 5

r is 1/3

n is 10.

[tex] \frac{5(1 - ( \frac{1}{3} ){}^{10} ) }{ \frac{2}{3} } [/tex]

Which is about

7.50