What is the largest integer n such that (n^2-38) / (n +1) is an integer?

a. 36
b. 38
c. 72
d. 76
e. None of these

Answers

Answer 1

Answer:

a. 36

Step-by-step explanation:

for (n^2-38)/(n+1) to be an integer, n+1 must completely divide, n^2-38.

we check with the options

option a n=36 sutisfies the above condition.

(36^2-38)/36+1 = 1258/37= 34 , which is an integer. Therefore, largest integer would be 36


Related Questions

2 + (3 + 5)2 ÷ 4 ⋅ 1 over 2 whole to the power of 4

Answers

Answer:

2 + (3 + 5)2 ÷ 4 ⋅ 1 over 2 whole to the power of 4

Step-by-step explanation:

Answer:

nauini

Step-by-step explanation:

Max has 42 baseball cards. Jordan has b baseball cards. Max has 6 times as many baseball cards as Jordan Decide if each statement is correct. Choose Yes or No for each statement ​

Answers

Answer:

where are the statement?

Step-by-step explanation:

A bag of marbles contains 2 white, 3 black, 1 red and 4 blue marbles. Cate draws one marble from the bag, looks at it and then replaces it. What is the probability that she will draw a black marble and then a black marble?

A) 9/10
B) 9/100
C) 3/5
D) 1/25​

Answers

Step-by-step explanation:

Number of black marbles = 3

Total number of marbles = 2 + 3 + 1 + 4 = 10

P(Drawing a black marble) = 3/10

Since the drawing is replaced,

they are considered independent events.

=> P(Black marble, following by black)

= [P(Drawing a black marble)]²

= (3/10)²

= 9/100. (B)

What is the missing number in this pattern?
2.704 * 10 = 27,04
2.704 * 100 = 270,4
2.704 * 1,000 = ???

Answers

Answer:

Step-by-step explain:

2.704 * 10 = 27,04

2.704 * 100 = 270,4

2.704 * 1,000 = 2,704

find the sum.

Please please please help me!!



Answers

Answer/ explanation:

3a + 4

a + b

help please. Find the measure of each angle

Answers

1.  139

2.  41

3.  139

4.  139

5.  41

6.  139

7.  41

simplify:
[tex] \frac{ \sqrt{4} }{ \sqrt[3]{4} } [/tex]
choices:
[tex]4 \frac{5}{6} [/tex]
[tex]4 \frac{1}{6} [/tex]
[tex]4 \frac{3}{2} [/tex]
[tex]4 \frac{1}{3} [/tex]

Answers

Step-by-step explanation:

= 4^1/2 /4^1/3

=4^1/2-1/3

=4^1/6

why is it when you take a shower and you come out clean, how does the towel become dirty? This some real mathematics

Answers

okay. so, when you wash your hair, there is no way to get 100% of the shampoo/conditioner out of your hair, so the excess it rubbed onto the towel. Say you have no hair. The shower isn't germ-free, so even if you feel clean, the towel and yourself is still a harbor of germs, good and bad.

Two siblings are racing. The older sibling can run at a constant speed of 11 feet per second. The younger sibling can run at a constant speed of 7 feet per second. If the younger sibling is given a 32-foot head start in the race, how long will it take the older sibling to catch the younger sibling, and how far will the older sibling have run at that moment?(1 point)

The older sibling will catch the younger sibling after ___ second(s) and running___feet.

Answers

Answer:

8 seconds after running 88 feet

Step-by-step explanation: this is what it told me the answer was

Answer:

The older sibling will catch the younger sibling after 8 second(s) and running 88 feet.

Step-by-step explanation:

Older Sibling:  11ft  22ft  33ft  44ft  55ft  66ft  77ft  88ft

Younger Sibling: 32ft  39ft  46ft  53ft  60ft  67ft  74ft  81ft

The younger sibling started at 32ft because of the headstart.  Each number was after 1 second. So this means it took 8 seconds for the older sibling to get to 88ft, and it took 8 seconds to get the younger sibling to 81ft.

I hope you can understand. :)

The response to a question has three alternatives: A, B, and C. A sample of 120 responses provides 60 A, 12 B, and 48 C. Show the frequency and relative frequency distributions.

Answers

Answer:

CLASS     FREQUENCIES     RELATIVE FREQUENCIES

A                        60                                 0.5

B                        12                                  0.1

C                        48                                 0.4

TOTAL              120                                  1

Step-by-step explanation:

Given that;

the frequencies of there alternatives are;

Frequency A = 60

Frequency B = 12

Frequency C = 48

Total = 60 + 12 + 48 = 120

Now to determine our relative frequency, we divide each frequency by the total sum of the given frequencies;

Relative Frequency A = Frequency A / total = 60 / 120 = 0.5

Relative Frequency B = Frequency B / total = 12 / 120 = 0.1

Relative Frequency C = Frequency C / total = 48 / 120 = 0.4

therefore;

CLASS     FREQUENCIES     RELATIVE FREQUENCIES

A                        60                                 0.5

B                        12                                  0.1

C                        48                                 0.4

TOTAL              120                                  1

-4x + 12 = -6x
Step 1: Add 4x to both sides:
12 = -6x + 4x
Step 2: Combine like terms:
12 = -2x

Answers

uh- this is the correct way to answer the problem....

−4x+12=−6x

Step 1: Add 6x to both sides.

−4x+12+6x=−6x+6x

2x+12=0

Step 2: Subtract 12 from both sides.

2x+12−12=0−12

2x=−12

Step 3: Divide both sides by 2.

[tex]\frac{2x}{2}[/tex] = [tex]\frac{-12}{2}[/tex]

x=−6

Choose all equations for which x=2 is a solution.

A:x+3=5
B:x+2=8
C:x+1=1
D:x-2=4
Ex-7=5-

Answers

A and D that’s the answer

What is the area of the region bounded by the lines x= 1 and y= 0 and the curve y=xe^x^2?

Answers

Answer:

A = 0.859

Step-by-step explanation:

We want to find the area of the region bounded by the lines x = 1 and y = 0 and the curve y = xe^(x²).

At y = 0, let's find x;

0 = xe^(x²)

Solving this leads to no solution because x is infinity. Thus we can say lower bound is x = 0.

So our upper band is x = 1

Thus,lets find the area;

A = ∫xe(x²) dx between 1 and 0

A = (e^(x²))/2 between 1 and 0

A = ((e¹)/2) - (e^(0))/2)

A = 1.359 - 0.5

A = 0.859

Solve for x.
13(x-3) = 39
X=1
X=4
x=6
x=10

Answers

13 factored out is 13x - 39 add 39 to both sides it equals 13x=78 and 78 divided by 13 is 6 the anwser is x=6

A rectangular prism is a three-dimensional geometric figure, hollow or solid, contained by six rectangular sides that meet at right angles to form eight vertices. The maximum capacity of a rectangular prism is calculated with the formula,, where Volume and length, width, and height.

For a rectangular shaped box with a maximum capacity of 2.25 · 104 cubic meters, a length of 25 meters, a width of 2x meters and height of 1.5·102 meters, x =
meters.

Answers

Answer:B. C. D.

Step-by-step explanation:

A line passes through the point (-8,-5) and has a slope of 3/4. Write an equation in slope intercept form for this line.

Answers

Answer:

y = ¾x + 1

Step-by-step explanation:

Point-slope equation for line of slope ¾ that passes through (-8,-5):

y+5 = ¾(x+8)

Put into slope-intercept form:

y = ¾(x+8) - 5 = ¾x + 6 - 5 = ¾x + 1

Solve the inequality

Answers

The answer is A. P>9

Answer:

P > 9

Step-by-step explanation:

22 x 9 would equal 198 also, but if you want it to be like in the equation where 22p is more than 198 it has to be more than 9. So if you were to substitute any number over 9 it would work.

i got 90.50. does that seem right?

Answers

there is no context to this question. what would you like help with?

Step-by-step explanation:

90.50. as money if it is it would be $90.50

if as a number 9,050

what linear equation in slope intercept from does this graph represent?​

Answers

Answer:

[tex]y = 16\frac{2}{3} x + 100[/tex] or [tex]y = \frac{50}{3} + 100[/tex]

Step-by-step explanation:

The equation of a line is [tex]y = mx + b[/tex], with [tex]m[/tex] being the slope and [tex]b[/tex] being the y-intercept.

We can see on the graph that the y-intercept, where the line crosses or touches the y-axis, is 100. So, our new equation is [tex]y = mx + 100[/tex].

Now we have to find the slope. Let's pick a point that's clearly on the graph. Perhaps (3, 150). And then we'll take the y-intercept point for convenience, (0, 100).

Then, we'll use [tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1} }[/tex] to find the slope.

Let's substitute in our points.

[tex]\frac{150-100}{3-0}[/tex]

Simplify.

[tex]\frac{50}{3}[/tex]

Now, we can leave the slope like that or turn it into a mixed number. As a mixed number, your slope is [tex]16\frac{2}{3}[/tex].

We'll put that in our equation for a line and...bam!

[tex]y = 16\frac{2}{3} x + 100[/tex] or [tex]y = \frac{50}{3} + 100[/tex]

Write the equation x2 + 6x + y2 – 8y = 19 in standard form.

Question 11 options:


1)
(x + 3)2 + (y – 4)2 = 44


2)
(x + 3)2 + (y – 4)2 =


3)
(x – 3)2 + (y – 4)2 =


4)
(x + 3)2 + (y + 4)2 = 44

Answers

Answer:

i think its 2

Step-by-step explanation:

The equation of  x² + 6x + y² - 8y = 19 in standard form is (x + 3)² + ( y - 4)² = 44. Hence, Option A is the correct answer.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

We have been given the equation as;

x² + 6x + y² - 8y = 19

We need to find the standard form of the equation.

Thus, we have,

(x²  + 6x )+(y²- 8y) = 19

We shall complete the square for the term;

(x²  + 6x + 9 - 9 ) + (y² +  4y + 16 - 16) = 19

Simplifying, we get,

(x²  + 6x + 9) - 9 + (y²- 8y + 16) - 16 = 19

(x²  + 6x + 9) - 9 + (y²- 8y + 16) - 16 = 19 + 9 + 16

Formula used :

x²+2xy+y² = (x+y)²

x²-2xy+y² = (x-y)²

Simplifying, we get,

(x + 3)² + ( y - 4)² = 44

Thus, the equation of  x² + 6x + y² - 8y = 19 in standard form is (x + 3)² + ( y - 4)² = 44.

Hence, Option A is the correct answer.

Learn more about equations here;

https://brainly.com/question/10413253

#SPJ2

In equation form. What goes through the points (0, 4) and (2, 7)?

Answers

Answer:y=1.5x+4

Step-by-step explanation:

Given that R= 6x + 5y
Find y when x = 8 and R =20
Give your answer as an improper fraction in its simplest form​

Answers

Answer:

-28/5=y

Step-by-step explanation:

20=6(8)+5y

20=48+5y

-28=5y

-28/5=y

60 is it rocking horse has a weight limit of 60 pounds what percentage of the weight limit is 114 pounds

Answers

144 pounds long heyyy

Answer:

86.4

Step-by-step explanation:

A basketball player makes 145 out of 180 free throws. We would estimate the probability that the player makes the next throw to be

Answers

They made 80% of those the probability is 29/36

A homeowner stays in a single location for an average of 20 years with a standard deviation of 5.7 years. What are the chances that someone lives in their home for 40 years or more?

Answers

Answer:

The Probability that someone lives in their home for 40 years or more

[tex]P(X\geq 40 ) = P( Z\geq3.50 )[/tex] = 0.0002

Step-by-step explanation:

Explanation:-

Given mean of the Population = 20 years

The standard deviation of the Population = 5.7 years

Let 'X' be the random variable in normal distribution

[tex]Z = \frac{x-mean }{S.D} = \frac{40-20}{5.7} = 3.508[/tex]

The Probability that someone lives in their home for 40 years or more

[tex]P(X\geq 40 ) = P( Z\geq3.50 )[/tex]

                 =  1 - P( Z< 3.50)

                = 1 - ( 0.5 + A(3.50)

                = 0.5 - 0.4998     ( from normal table )

               = 0.0002

There are a total of 168 hockey games in the season and 7 are played at night. The season is played for 14 months. How many games were played each month if each month has the same number of games?

Answers

Answer: 8

Step-by-step explanation: I added 7+14 then whatever i got i divied that by 168 so 168 by 21 which equals 8 but don’t hate if it’s wrong i’m only in the grade 5

Solve 3a – 8= 5a + 12

Show your work. (please)

Answers

Answer:

a = - 10

Step-by-step explanation:

3a – 8 = 5a + 12

3a – 8 + 8 = 5a + 12 + 8

3a = 5a + 20

3a - 5a = 5a + 20 - 5a

- 2a = 20

[tex]\dfrac{-2a}{-2}=\dfrac{20}{-2}[/tex]

a = - 10

The length of a rectangle is 5 inches more than three times the width.The perimeter is 64 inches. Find the length and width.

Answers

Answer:

L=25.25 in

W= 6.75in

Step-by-step explanation:

Step one

Given data

Let the width be x

W= x

and length

L= 3x+5

Perimeter= 64 in

Step two:

we want to find the dimension of the rectangle

We know that perimeter is

P= 2W+2L

64= 2*x+2*(3x+5)

64= 2x+6x+10

collect like terms

64-10=8x

54= 8x

divide both sides by 8

x= 54/8

x= 6.75in

We know that the length is

L= 3x+5

L= 3*6.75+5

L= 20.25+5

L=25.25 in

A person draws a card from a hat. Each card is one color, with the following probabilities of being drawn: 1/15 for blue, 1/25 for green, 1/5 for pink, and 1/20 for black. What is the probability of pulling a black or pink card, written as a reduced fraction?

Answers

Answer:

Step-by-step explanation:

DAM I JUST STARTED LEARNING ABOut that

Which linear equation is represented by the table?

x −2 1 3 6
y 7 4 2 −1

Answers

Answer:

help calll me daddy

Step-by-step explanation:

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