Sequences and Series precalc multiple choice, will give brainliest.

Answer:

[tex]\boxed{x=5},x=-9[/tex]

Step-by-step explanation:

To rid the denominators, multiply both sides by [tex](x-3)(x+1)[/tex].

We get:

[tex]6(x+1)-12(x-3)=(x-3)(x+1)[/tex]

Simplifying, we have:

[tex]6x+6-12x+36=x^2-3x+x-3,\\-6x+42=x^2-2x-3,\\x^2+4x-45=0[/tex]

Solving, we get:

[tex]x^2+4x-45=0,\\(x-5)(x+9)=0,\\x=5,x=-9[/tex]

Therefore, the solution with the greatest value is [tex]x=\boxed{5}[/tex]

Answer:

C

Step-by-step explanation:

I found the answer online( didnt know how to solve it)

Sets of odd sum=9

Sets of product of 6=3

Total sets=18

So (9+3)/18

Equals 12/18

Which equals 2/3

Answer:

the ans is 105...........

Answer:

105

Step-by-step explanation:

-5*-3=15

15*7=105

Answer:

31 km?

Step-by-step explanation:

Answer: a) 15 km/h

Step-by-step explanation: Trust me bro

Answer:

I don't know

Step-by-step explanation:

the answer is 0.2

The average of x and y is 03

The average of the three numbers is given as:

Average = 10

This means that:

(x + y + 24)/3 = 10

Multiply both sides by 3

x + y + 24 = 30

Subtract 24 from both sides

x + y = 6

Divide by 2

(x + y) = 3

Hence, the average of x and y is 03

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Answer:

AB = 4,60

Step-by-step explanation:

Sin50° = 6/AB

0,766044431 * 6= AB

4,596266659 = AB

AB = 4,60

Answer:

=c+2

Step-by-step explanation:

Answer:

y = 2x + 2

Step-by-step explanation:

General point-slope form:

point = (x1,y1) = (1,4)

slope = m = 2

y-y1 = m(x-x1)

Substitute values

y - 4 = 2 (x-1)

y = 2x -2 + 4

y = 2x + 2

Problem 1

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Work Shown:

[tex]-\sqrt{49}+\sqrt{-64}\\\\-\sqrt{7^2}+\sqrt{-1*8^2}\\\\-\sqrt{7^2}+\sqrt{-1}*\sqrt{8^2}\\\\-7+i*8\\\\-7+8i\\\\[/tex]

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Problem 2

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Work Shown:

[tex]\sqrt{-100}-\sqrt{24}\\\\\sqrt{-1*10^2}-\sqrt{4*6}\\\\\sqrt{-1*10^2}-\sqrt{2^2*6}\\\\\sqrt{-1}*\sqrt{10^2}-\sqrt{2^2}*\sqrt{6}\\\\i*10-2*\sqrt{6}\\\\-2\sqrt{6}+10i\\\\[/tex]

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Problem 3

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Work Shown:

[tex]-\sqrt{-81}+\sqrt{16}\\\\-\sqrt{-1*9^2}+\sqrt{4^2}\\\\-\sqrt{-1}*\sqrt{9^2}+\sqrt{4^2}\\\\-i*9+4\\\\4-9i\\\\[/tex]

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Problem 4

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Work Shown:

[tex]\sqrt{-1}*2\sqrt{16}\\\\\sqrt{-1}*2\sqrt{4^2}\\\\i*2*4\\\\8i\\\\[/tex]

We could express this as 0+8i, but I think 8i looks much cleaner.

Answer:

14 = 14

Step-by-step explanation:

(4 + 2) + 8 = 14

6 + 8 = 14

14 = 14

Answer:

Step-by-step explanation:

[tex]{{correct me if i am wrong}}}[/tex]

Answer:

It will take her 1hr 42mins.

Using the formula of speed, It will take 1 hour 42 minutes to drive to New York.

The formula for Speed is given as [Speed = Distance ÷ Time].

The formula for time is given as [Time = Distance ÷ Speed ].

Time taken to drive to New York is :

= (20 miles / 40 mph) + ((80 - 20) miles /50 mph)

= 30 minutes + 1 hour 12 minutes

=  1 hour 42 minutes

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Answer:

146.3

Step-by-step explanation:

The price relative is the product of 100 and ratio of the current price to the base price. It is given as:

[tex]Price\ relative=\frac{P_n}{P_o}*100\\\\Where\ P_n\ is\ the \ price\ of\ commodity\ in\ the\ current\ period\ while\ P_o\ is\\the\ price\ of\ commodity\ in\ base\ period.[/tex]

Given that the base price is the truck cost in 2008 = $27000 and the current price is the price of the truck in 2012 = $39500. Hence:

Price relative = ($39500 / $27000) * 100 = 146.3

Therefore the price relative is 146.3

Answer:

Rational number

Step-by-step explanation:

Rational numbers can be written in a way where the entire number is displayed.

Irrational numbers will look a little "weird." They will have a square root or greek letter (such as π) because you cannot display the entire number. It would take forever to write out the number π (3.14159...). So we just use a symbol. That makes it an irrational number.

11/8 is the rational number not a irrational number.

The given number is 11/8.

Irrational numbers are the set of real numbers that cannot be expressed in the form of a fraction, p/q where p and q are integers. The denominator q is not equal to zero (q ≠ 0). Also, the decimal expansion of an irrational number is neither terminating nor repeating.

The decimal expansion of a given number is

11/8 =1.375

The decimal expansion is terminating decimal number

Therefore, 11/8 is the rational number not a irrational number.

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Answer:

1. C

2. B

3. A

Step-by-step explanation:

Yellow ink indicates all areas where x is positive.

Orange ink indicates all areas where x is negative.

Green indicates all areas where y is positive.

Blue indicates all areas where y is negative.

Answer:

O A. 3.1

Step-by-step explanation:

it's correct if I'm rwong (*´ω｀*)

Answer: The answer is C. 6.9

Step-by-step explanation:

Answer:

Step-by-step explanation:

2

Answer: 5

Step-by-step explanation: volume of hole = 100x50x4=20,000 ft

soil weighs : 20000x90=180,000 pounds

180,000 divided by 40,000 = 4.5 ≈ 5

So the least number of truckloads is 5

Answer: p= 0.644

Step-by-step explanation:

We know that, the confidence interval for population proportion is given by :-

sample proportion(p) ± Margin of error(E)

Given confidence interval :  (0.61,0.678)

i.e. p- E = 0.61   ... (i)

p+E = 0.678    ...(ii)

Adding (i) and (ii), we get

2p = 1.288

p= 0.644

From (ii),

E= 0.678-0.644

E= 34

Hence, the value of p = 0.644

Answer:

100%

Step-by-step explanation:

its always very very hot.

Answer:

Third choice from top to bottom.

Step-by-step explanation:

The total amount of students would be exactly - 220 students. So that means reading would be exactly 20% of the students, as of 40/220 = 0.2 = 20%. That means automaticially the third choice would be correct, but let's do more calculations to make sure- 55/220 = 25%, 66/220 = 30%. That means that our answer is in fact correct.

Answer:10.6

Step-by-step explanation:

Answer:

The business's total revenue the previous year was $22,000.

Step-by-step explanation:

Since the business's revenue is 15% less than it was the previous year, we can subtract that 15% from 100% to see what percentage of last year's revenue is the business getting now.

100% - 15% = 85%

So the business is getting 85% of what it got last year. We also know that this small business is getting $18,700 this year.

So really, this question is asking 18,700 is 85% of what?

Y = P% of WHAT?

18,700 = 85% of X

18,700 = 0.85 · X

Now that we have set this equation up, we solve for x. To get x alone, you must divide by 0.85 on both sides.

18,700 ÷ 0.85 = 0.85 · X ÷ 0.85

Simplified, this is 22,000 = X

So their total revenue the previous year was $22,000.

This is not the only way to do this - there are others, but this is one of the easiest to understand is more efficient.

Answer:

$21,505

Step-by-step explanation:

$18,700×115%=$18,700×115/100

=$21,505

Answer:

108 because the full measurements is 180

Step-by-step explanation:

Answer:

54°

Step-by-step explanation:

All angles in triangle add up to 180°.

180° - 72°= 108°

108°/ 2= 54°

The available options are:

(A)0.25

(B)0.78

(C)1.09

(D)2.25

(E)2.41​

Answer:

(B)0.78

Step-by-step explanation:

Given the fact that percentile rank is usually between 0 to 100. Hence, considering the available options, the 100th percentile would be converted to 1.0 when representing the percentile into decimal places.

Since it is logically and mathematically impossible to go beyond the 100th percentile, hence, the option C, D, and E are wrong.

Also, since Sharon hoped to get a score well enough compared to her peers, then the correct answer is 0.78 which can be translated to 78 percentile. Because 0.78 is a better score than 0.25 or 78 percentile is better than 25 percentile because 78 percentile means she scored better than 78 percent of all the test takers.

Hence, the right answer is in this case is 0.78

Answer:

6 be because 2×3 =6 so B it will be the given answer