Drag the numbers to the correct locations on the image. Not all numbers will be used. Complete the synthetic division to find the quotient of 3x3 - 25x2 + 12x - 32 and x - 8

x2+12x+32

Factor out 2 from the expression

2(x+6x+16)

Collect like terms

2(7x+16)

Now we do the same thing only different way ok

x+6x

If a term doesn't have a coefficient , it is considered that the coefficient is 1

1x+6x

Collect like terms by adding their coefficients

(1+6)x

Add the numbers

7x

1+6=7

To add the numbers using a number line, start from zero.

Since 1 is positive, move the point 1 unit to the right.

Since 6 is positive, move the point 6 units to the right

The result is 7

Answer : 2(7x+16)

That's it . Hope it  wasn't too hard to understand?

Please give me as brainliest

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)

Answer:

A≈165553.09

Step-by-step explanation:

To the nearest cent, there would be $174,529.50 in Samuel's account after 17 years of continuous compounding at an interest rate of 6.7%.

The formula for calculating the amount of money in an account with continuous compounding is:

[tex]A = Pe^{(rt)}[/tex]

where:

A = the amount of money in the account after t years

P = the principal amount invested

r = the annual interest rate (as a decimal)

t = the time in years

e = Euler's number (approximately 2.71828)

Using this formula, we can calculate the amount of money in Samuel's account after 17 years as follows:

[tex]A = 53,000 \times e^{(0.067\times 17)[/tex]

A ≈ $174,529.50

Therefore, to the nearest cent, there would be $174,529.50 in Samuel's account after 17 years of continuous compounding at an interest rate of 6.7%.

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Answer: x= -5/2  y=-5

Step-by-step explanation:

Answer:

2.19230769231

Step-by-step explanation:

turn that into a fraction use internet

Answer:

C

Step-by-step explanation:

y = 1/2x^2 + 2x - 6

When, x = 0, y = - 6

you don't need to find another variable. Because in number C u can find a graph that has y= -6 when x =0.

The graph of the given equation is the graph C

In math, a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.

Given is an equation, y = x²/2+2x-6, we need to identify the graph for the same,

y = x²/2+2x-6

Put x = 0,

y = -6

Point = (0, -6)

Put x = 2,

y = 2+4-6

y = 0

Point = (2, 0)

Put x = -6

y = 18-12-6

y = 0

Point = (-6, 0)

If we see all these points are lying in graph C, which means the graph C is satisfying the condition of the given equation,

Hence, the graph of the given equation is the graph C

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Answer:

B, the parabola is narrower.

Step-by-step explanation:

Given the parent square function: x^2.

A vertical stretch by a scale factor of 3 is made to transform x^2 into 3x^2.

A stretch makes the function narrower, a compression makes the function wider.

Therefore the parabola is narrower.

Answer:

I believe it would be -3,4.

Step-by-step explanation:

To find slope you use rise over run, where you count up first, then go to the side. If you count down on the left you count 3 boxes, but since its going down its negative. And to get the run you count over 4. Meaning it's -3,4

Answer:

15 miles

Step-by-step explanation:

1 hour would be 7.5 miles an hour. So if you just add another one on then it'll be 15.

Answer:

Step-by-step explaunfere:

The circumference of a circle is the distance around the outside of the circle. The diameter, and the circumference are the three defining aspects of every circle. Given the radius or diameter and pi you can calculate the circumference.

1- C ≈ 50.27 in

2- C ≈ 31.42 in

3- A ≈ 201.06

4- A ≈ 314.16

5- C = 14π = 43.982 ≈ 44 inches

π (Pi) times the Radius squared: A = π r2

or, when you know the Diameter: A = (π/4) × D2

or, when you know the Circumference: A = C2 / 4π

Answer:

98%.

Step-by-step explanation:

The following data were obtained from the question:

Test 1 (T₁) = 83%

Test 2 (T₂) = 91%

Test 3 (T₃) = 88%

Test 4 (T₄) =?

AVERAGE = 90%

We can obtain the score of 4th test by doing the following:

AVERAGE = (T₁ + T₂ + T₃ + T₄) /4

90 = (83 + 91 + 88 + T₄) /4

90 = (262 + T₄) /4

Cross multiply

90 × 4 = 262 + T₄

360 = 262 + T₄

Collect like terms

360 – 262 = T₄

T₄ = 98%

Therefore, Sam need to score 98% in the 4th test in order to have an average score of 90%.

The point of collision is θ = π/6.

A curve's polar equation is often stated with r as a function of θ and represented in polar coordinates.

The given equations are r = √3 + 2cosθ and r = 4cosθ.

The characters will collide at the intersection of these paths, the intersection of the two equations is given by:

√3 + 2cosθ = 4cosθ

4cosθ - 2cosθ = √3

2cosθ = √3

cosθ = √3/2

θ = cos⁻¹(√3/2)

θ = π/6

Hence, the point of collision is θ = π/6.

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Answer:

Step-by-step explanation:

|x+3| = 10  means the absolute value of x+3 equal 10, so the answer to that means x= -13 or x= 7 (i.e. |-13+3| = |-10| =10, |7+3| = |10| = 10)

|x| + 3 = 10 means the absolute value of just x, so the answer to that would be x= -7 or x= 7 (i.e. |-7|+3 = 7+3 = 10, |7|+3 = 7+3 = 10)

However, take everything I say with a grain of salt, because I struggle some with Absolute Value Equations as well.

I hope this helps give you an idea of what you're looking at, though :)

Answer:

-14

Step-by-step explanation:

-3 replaces f which is x so its 3 time -3 which is -9 -5

Answer:

-14

Step-by-step explanation:

f(-3)= 3(-3) - 5

3 x -3 = -9

-9 - 5 = -14

-14 is your answer ;)

Answer:

B. 3.805 x 10^7

Step-by-step explanation:

[tex]a(n) = 6 + 3(n - 1)[/tex]

[tex]a(1) = 6 + 3(1 - 1)[/tex]

[tex]a(1) = 6 + 3 \times 0[/tex]

[tex]a(1) = 6 + 0[/tex]

[tex]a(1) = 6[/tex]

_________________________________

[tex]a(2) = 6 + 3(2 - 1)[/tex]

[tex]a(2) = 6 + 3 \times 1[/tex]

[tex]a(2) = 6 + 3 [/tex]

[tex]a(2) = 9[/tex]

_________________________________

[tex]a(3) = 6 + 3(3 - 1)[/tex]

[tex]a(3) = 6 + 3 \times 2[/tex]

[tex]a(3) = 6 + 6[/tex]

[tex]a(3) = 12[/tex]

_________________________________

[tex]a(4) = 6 + 3(4 - 1)[/tex]

[tex]a(4) = 6 + 3 \times 3[/tex]

[tex]a(4) = 6 + 9[/tex]

[tex]a(4) = 15[/tex]

Answer:

3/2

Step-by-step explanation:

Answer:

slope = [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 14, - 18) and (x₂, y₂ ) = (- 10, - 12) ← 2 ordered pairs from the table

m = [tex]\frac{-12+18}{-10+14}[/tex] = [tex]\frac{6}{4}[/tex] = [tex]\frac{3}{2}[/tex]

Answer:

5.00

Step-by-step explanation:

5.00

Answer:

y = 4 - 2x

Step-by-step explanation:

Hope this helps! Have a great day!

Answer:

5 and 9 are coefficients , -4 is a constant, and there are 3 terms in this expression.

Step-by-step explanation:

Answer:

175

Step-by-step explanation:

In order to answer this question, we need to know how many teaspoons of vanilla you need for each cupcake. Reply the teaspoon amount and I’ll be happy to help!

Answer: convey- make an idea understandable; theme- subject or topic; poem- writing in speech and song, with stanzas; stanza- group of lines, verse

Step-by-step explanation:

Answer:

(i) From 0 to 50.

(ii) From 3 to 5.

(iii) From 3R to 5R, where R=3,4,5,...

Step-by-step explanation:

Let N be the number of players in a team.

As each team can have numbers of player ranging from 3 to 5, so

[tex]3\leqN\leq5\cdots(i)[/tex]

Let P be the points scored by one player in one round of the game.

As each player can score up to 10 points in each round of the game, so

[tex]0\leq P \leq 10\cdots(ii)[/tex]

(1) There are 5 members in the team formed by Elena.

So, points earned by 5 players in 1 round = 5P

From equation (ii), the range is

[tex]0\leq 5P \leq 50[/tex]

Hence, the points earned by Elena's team is ranging from 0 to 50.

(2) If each played misses 1 point, then,

Points earned by 1 player in 1 round = 10-1=9

Hence, points earned by 5 players in 1 round = 9x5=45.

(3) Let R (an integer) denoted the number of teams.

As there are at least 3 teams in the game, so

[tex]R\geq3\cdots(iii)[/tex]

As the number of players in one team is N, so

the number of players in R team is NR, where R=3,4,5,...

Now, from equation (i)

[tex]3R\leqNR\leq5R[/tex]

Hence, if there are at least 3 teams, then the number of players is ranging from 3R to 5R.

For R=3, the number of players in the game is ranging from 3x3=9 to 5x3=15.

Answer:

The number series 1, 3, 5, 7, 9, . . . . , 59. Therefore, 900 is the sum of first 30 odd numbers.

The conjecture we can make is C. The sum is equal to the no. of terms squared.

According to the given question we have been asked What conjecture can you make about the sum of the first 33 positive odd natural numbers.

We know that the sum of first 'n' odd natural numbers is n².

So, the sum of first 33 odd natural numbers is (33)² which is = 1089.

Let us prove this by AP.

First term(a₁) is = 1.

common difference(d) = 2.

No. of terms (n) = 33.

∴ aₙ = a₁ + (n-1)d

aₙ = 1 + (33-1)2

aₙ = 1 + 32(2).

aₙ = 1 + 64.

aₙ = 65.

∴ S₃₃ = 33/2×[ 2(1) + (33-1)2].

S₃₃ = 33/2×[ 2 + 64].

S₃₃ = 33/2×66.

S₃₃ = 33×33.

S₃₃ = 1089.

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