a) 9/7
b) 9/-7
c) 7/9
d) -9/7
e) -9/-7​

A) 9/7b) 9/-7c) 7/9d) -9/7e) -9/-7

Answers

Answer 1

Answer:

a) 9/7

Step-by-step explanation:

[tex] \dfrac{x^2 + x - 20}{x^2 - x - 12} = [/tex]

[tex] = \dfrac{(x + 5)(x - 4)}{(x + 3)(x - 4)} [/tex]

[tex] = \dfrac{x + 5}{x + 3} [/tex]

x = 4

[tex] = \dfrac{4 + 5}{4 + 3} [/tex]

[tex] = \dfrac{9}{7} [/tex]


Related Questions

A bag contains 5 red marbles, 8
green marbles, 6 orange marbles, and
11 yellow marbles. What is the
probability of randomly choosing
an orange marbles

Answers

Answer:

1/5

Step-by-step explanation:

First you need to find the total amount of marbles

5+8+6+11= 30

There are 6 orange marbles

So the probability is 6/30 which reduces to 1/5

Two surfers and statistics students collected data on the number of days on which surfers surfed in the last month for 30 longboard​ (L) users and 30 shortboard​ (S) users. Treat these data as though they were from two independent random samples. Test the hypothesis that the mean days surfed for all longboarders is larger than the mean days surfed for all shortboarders​ (because longboards can go out in many different surfing​ conditions). Use a level of significance of 0.05.
Longboard :4,8,9,4,9,7,9,6,6,1 1,1 3, 12, 10, 151316,12,10. 12,18,20.15,10.15,19,21,9,22, 1923 Shortboard: 6,4,4,6,7,7,7,10,4,6,7,5,8,9,4,15,13,9,12,11,12,13,9,11,13,15,9,19,20,11
Determine the hypotheses for this test. Choose the correct answer below. Find the test statistic for this test. Find the p-value for this test. What is the conclusion for this test? Reject H0. The mean days surfed for longboarders is not significantly larger than the mean days surfed for all shortboarders Do not reject H0. The mean days surfed for longboarders is significantly larger than the mean days surfed for all shortboarders Do not reject H0. The mean days surfed for longboarders is not significantly larger than the mean days surfed for all shortboarders

Answers

Answer:

Do not reject H0. The mean days surfed for longboarders is significantly larger than the mean days surfed for all shortboarders

Step-by-step explanation:

The null hypothesis is that  the mean days surfed for all long boarders is larger than the mean days surfed for all short boarders

H0:  μL > μs      against the claim Ha:  μL≤ μs

the alternate hypothesis is the mean days surfed for all long boarders isless or equal to  the mean days surfed for all short boarders (because long boards can go out in many different surfing conditions)

The test statistic is

t= x1- x2/  √s1/n1+ s2/n2

1) Calculations

Longboards

Mean

ˉx=∑x/n=4+8+9+4+9+7+9+6+6+11+15+13+16+12+10+12+18+20+15+10+15+19+21+9+22+19+23+13+12+10/30

=377/30

=12.5667

Longboard Variance S2=[∑dx²-(∑dx)²/n]/n-1

=[831-(-13)²/30]/29

=831-5.6333/29

=825.3667/29

=28.4609

Shortboard Mean

ˉx=∑x/n=6+4+6+6+7+7+7+10+4+6+7+5+8+9+4+15+13+9+12+11+12+13+9+11+13+15+9+19+20+11/30

=288/30

=9.6

Shortboard Variance S2=[∑x²-(∑x)²/n]/n-1

=[ 3270-(288)2/30]/29

=3270-2764.8/29

=505.2/29

=17.4207

2) Putting values in the test statistic

t=|x1-x2|/√S²1/n1+S²2/n2

t =|12.5667-9.6|/√28.4609/30+17.4207/30

t =|2.9667|/√0.9487+0.5807

t=|2.9667|/√1.5294

t=|2.9667|/1.2367

t=2.3989

3) Degree of freedom =n1+n2-2=30+30-2=58

4) The critical region is t ≤ t(0.05) (58) =1.6716

5) Since the calculated t= 2.4 does not fall in the critical region t(0.05) (58)  ≤ 1.6716 we do not reject H0.

The p-value is 0.008969. The result is significant at p <0 .05.

The queen of hearts, queen of diamonds, queen of spades, and queen of clubs are taken out of a deck of cards. They are to be put in 3 places on a table. In how many different ways can they be placed in the 3 spots?

Answers

Answer:

Hello There!!

Step-by-step explanation:

The answer is 52.

hope this helps,have a great day!!

~Pinky~

Please answer number 1 and 2 with ABC or D

Answers

Answer:

1. (a) a+b=86

2. (c) 5.99a+9.99b≤600

Step-by-step explanation:

1.

a = amount of 16gb memory sticks

b = amount of 21gb memory sticks

Gary is buying a memory sticks for each of the 86 teachers. Therefore the total sum of both 16gb and 32gb memory sticks should equal 86:

a+b=86

2.

a = amount of 16gb memory sticks

b = amount of 21gb memory sticks

Each 16gb memory stick cost $5.99, and each 32gb one costs $9.99. Therefore...

5.99a = total cost of 16gb memory sticks

9.99b = total cost of 32gb memory sticks

Gary has to spent an amount less than or equal to $600. Therefore, the total sum of the costs of both 16gb and 32gb memory sticks should be less than or equal to 600:

5.99a+9.99b≤600

in a raffle 200 tickets are sold 78 children and 93 women buy one ticket each men buy the rest of the tickets. work out the probability that a man buys the winning ticket

Answers

Answer:

The probability that a man buys the winning ticket is 107/200

Step-by-step explanation:

78 men buy tickets, 93 women buy tickets. If the rest of the tickets are given to men, there are 200-93-78, or 29 tickets left, which go to men. 78 + 29 = 107 men who have tickets.

The probability that a man buys the winning ticket is

number of men with tickets / number of tickets, or

107 / 200.

10) What is the absolute value of 27? *

Answers

Answer:

27

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

Using the product of the means equals the product of the extremes, solve for x, to the nearest tenth. 4:9=x:6​

Answers

Cross multiply:

4 x 6 = 9x

24 = 9x

Divide both sides by 9

X = 24/9

X = 2.7 ( rounded to the nearest tenth)

Can somebody help me with this quickly whoever answers first gets a thanks

Answers

G. From the origin move right 3 units,then up 6 units

H. From the origin move left 2 units,then up 11 units

J. From the origin move right 8 units, then down 10 units

K. From the origin move left 16 units, then down 20 units

L. Plot the first point at the origin then move up 5 units

M. From the origin move left 14 units and plot the next point at the origin

Which expression uses numbers and symbols to represent the statement subtract 6 from 11 ,double the difference, and then add three- fourths?

Answers

Answer:

sorry if I knew I would have told you but follow me

Please help me, I need the answer in the next 5mins. AND NO LINKS!!!!!!!

Answers

The table shows a constant of proportionality the equation would be x*2=y

I need help please !!!!!!!!

Answers

Answer:

B. 7√3

Step-by-step explanation:

30-60-90 triangles have special side proportions that would be very beneficial to memorize because I guarantee you will use it in the future.

Please see the attached image.

The answer is 7*√3=7√3

It would be B, I had that exact same question.

Find the value for x

Answers

Answer:

x=4

Step-by-step explanation:

The two angles together are complementary, which means they add up to 90 degrees

solving for x:

9x+4x+38=90

9x+4x=13x

13x+38=90

13x+38-38=90-38

13x=90-38

13x=52

x=4

hope this helps ^D^

Answer:

9x=4x+38

5x=38

x=38/5

Step-by-step explanation:

Pls help! ASAP! I will mark Brainliest! If you give me a file or guess I will report you! ​

Answers

Answer:

the second and last one

....................

There must be fewer than 5 fish in the small aquarium. There are already 3 fish in the aquarium. What inequality represents the number of additional fish, f, that can be put into the aquarium? Drag and drop the appropriate symbols to correctly complete the inequality. 131 15 + > < < IV​

Answers

2 is the answer to the question

If there are already 3 fish in the aquarium. Then the number of fish in the aquarium should be less than 2.

What is inequality?

Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as well as is used to compare two statements.

There must be fewer than 5 fish in the small aquarium. There are already 3 fish in the aquarium. Then the inequality equation will be

Let the number of fish in the aquarium be x. Then the inequality equation will be

x < 5

But there are already 3 fish in the aquarium, then we have

x - 3 < 2

Then the number of fish in the aquarium should be less than 2.

More about the inequality link is given below.

https://brainly.com/question/19491153

please help me! it’s urgent

Answers

Answer: 85

Step-by-step explanation:

360degree for quad

thus

95+85+95 = 275

360-275 = 85

Answer:

S=85°

Step-by-step explanation:

95+85+95= 275

(a square is equaled to 360 degrees so you do this)

360°-275°= 85°

(Take away what the shape/angle is equal to from your findings in your first step) .

5x^2-4v^2=-99

2x^2+2v^2=90

Please show your work, if you show your work I will mark Brainiest!!!

Answers

9514 1404 393

Answer:

  (x, v) ∈ {(-3, -6), (-3, 6), (3, -6), (3, 6)}

Step-by-step explanation:

For a quick and easy answer, my "work" is to use a graphing calculator.

  (x, v) = (±3, ±6) . . . . in all 4 combinations

__

Add double the second equation to the first.

  (5x^2 -4v^2) +2(2x^2 +2v^2) = (-99) +2(90)

  9x^2 = 81

  x^2 = 9

Substituting this into the second equation gives ...

  2(9) +2v^2 = 90

  2v^2 = 72

  v^2 = 36

So, (x^2, v^2) = (9, 36). Taking square roots, we get ...

  (x, v) = (±3, ±6) . . . . in all combinations

Which set of ordered pairs shows a function?
A. {(2,3),(2,6),(2,9),(2, 12), (2, 15)}
B. {(2,6).(-3,6).(-8,11), (6,2) (9,-7)}
C. {(3,-5),(4, -4),(5,-3),(4,-2),(3,-1)}
O D. {(3,8).(-3,2),(-6,0),(-3,-2),(3,-8)}
Help me please

Answers

A. Is not a function, the x value 2 has many outputs
B. It is a function, all the x values have different outputs
C. Not a function, the x values 3 and 4 have different outputs
D. Not a function, the x values 3 and -3 have different outputs


A relation is a function if each input value (or x) has only one output. However, the outputs could have many inputs.

Find the distance between the two points. (−6, −7), (0, 0)

Answers

Answer:

d = √85

Step-by-step explanation:

Here use the distance formula.

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\text{Substitute the values.}\\d = \sqrt{(0-(-6))^2+(0-(-7))^2}\\\text{Subtract by negative, which is adding.}\\d=\sqrt{(6)^2+(7)^2}\\\text{Apply the powers of 2.}\\d=\sqrt{36+49}\\\text{Add.}\\d=\sqrt{85}[/tex]

Which side lengths form a right triangle?

Answers

Answer:

Answer:[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\ [/tex] Pythagoras law:h²=p²+b²

needed to apply

4²+8²=12²

80≠144 not a right angled triangle

again

2²+√5²=3²

9=9/

side are a right angled triangle

again

2²+2²=(√8)²

4+4=8

8=8

side are a right angled triangle

Answer:

[tex]2,\sqrt{5},3[/tex] and [tex]2,2,\sqrt{8}[/tex]

Step-by-step explanation:

What is the inverse of x/4 ?
ill give brainlist thingy lol

Answers

Step-by-step explanation:

If you are talking about an inverse function f-1(x) of the function f(x), you must remember that, by definition,

f(f-1(x)) = x

So given f(x) = x/4 if I apply an arbitrary K which is equal to f-1(x), then

f(K) = x

K/4 = x

K = 4x

But I want to recover f-1(x), so replace it back.

f-1(x) = 4x

Done

The negative integers greater than or equal to -12

Answers

Following numbers are greater than or equal to -12:
-12
-11
-10
-9
-8
-7
-6
-5
-4
-3
-2
-1
0
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
And so on..................


(Brainiest please!!!!!)

Answer:

The negative integers are greater than -12

Which of the following are accurate descriptions of the distribution below? (LOOK AT IMAGE PLEASE I MARK BRAINLIEST)
Choose all answers that apply:
A: The Distribution has an Outlier
B: The Distribution has a peak at 22 degrees celsius
C: None of the Above

Answers

Answer:

B: The Distribution has a peak at 22 degrees celsius

Step-by-step explanation:

We are given a photo of a point plot, including with several descriptions and are asked to find which accurately describes the picture.

Let's take a look at our options,

A: The Distribution has an Outlier

This would be incorrect, an outlier is a point on any graph that doesn't really fit in well with all the other points, say there is a straight line with a bunch of dots surrounding it, then there is one dot that is far away from the rest, that is an outlier. Looking at the point plot, we see that all the dots fit in well together and no dots are really separated, therefore making this incorrect.

B: The Distribution has a peak at 22 degrees celsius

This would be correct, when referring to peak, the peak is supposed to represent the highest point or value a certain number/amount has. If we look at the point plot, we can see that there are the most dots at 22 than any other temperature. Therefore making it the peak, and making B correct.

C: None of the Above

This is obviously incorrect, B is a correct answer.

HELO WILL GIVE BRANLIEST!

Answers

The third one is the answer

Answer:

Step-by-step explanation:

he surface area of a cube is equal to 6 times the side length squared.

SA=68^2  

where  SA  is the surface area and  8  is the side length.

If the side length of the cube is 4 cm each, then let  s=4 cm  

So the surface area of the 4-cm-side-length cube is:

SA=6∗(4 cm)^2  

=6∗16 cm^2  

=96 cm^2

What is the value of x in the figure? Enter your answer in the box.
145°
(2x + 15)°
x=

Answers

Answer:

Answer: x=65

Step-by-step explanation:

Since they're vertical angles both sides are equal to 145 degrees

So, 145-15= 130 to get rid of the constant

Then, 130/2=65

To check you work add up all of your solutions to get 145

2*65=130 & 130+15=145

Therefore, x=65

Hi I’m sure about x=65
Hope it helps

sum of -4/5 and -5/12. please answer.​

Answers

Answer:

[tex]- 1 \frac{13}{60} [/tex]

Step-by-step explanation:

[tex] - \frac{4}{5} + - \frac{5}{12} \\ \frac{ - 48 - 25}{60} \\ \frac{ - 73}{60} \\ = - 1 \frac{13}{60} [/tex]

Hope this helps you.

Can I have the brainliest please?

Determine the simple interest rate for each given principal, time, and simple interest earned.

Principal: $1200
Time: 15 years
Simple Interest: 5720

Answers

Answer:

31.8%

Step-by-step explanation:

The formula for simple interest is I = PRT, where I = interest earned/paid, P = principal amount deposited or borrowed, R = rate of interest as a decimal, and T = time in years.

I = PRT

5720 = (1200)(R)(15)

5720 = 18,000R

R = 0.3177777, rounded to 31.8%

Answer:

32%

Step-by-step explanation:

5720/15=381.33 interest per year

principal x interest rate = interest per year

1200 x interest rate =381.33

interest rate = 381.33/1200

interest rate = 32%

Drag and drop each area on top of the triangle it matches. i already did the 4 that have the answers on them qith the teacher. PLS HELP!!​

Answers

Answer:

Step-by-step explanation:

Need help understanding this problem! If someone would explain how to do it that would be great!

In Triangle FGH, FH=6 ft, FG=11 ft, and m *Hint: Law of Cosines

Answers

Answer:

m∠G = 31.83°

Step-by-step explanation:

From the triangle FGH,

FH = 6 ft

FG = 11 ft

And measure of the included angle ∠F = 73°

We have to find the measure of ∠G.

By applying law of cosine in the triangle to get the measure of third side GH first,

GH² = FH² + FG² - 2(FH)(FG)cos(∠F)

GH² = 6² + 11² - 2(6)(11)cos(73°)

GH² = 36 + 121 - 38.593

GH = √118.407

GH = 10.88 ft

Now apply sine rule in the given triangle to get the measure of ∠G.

[tex]\frac{\text{sinG}}{FH}=\frac{\text{sinF}}{GH}[/tex]

[tex]\frac{\text{sinG}}{6}= \frac{\text{sin(73)}}{10.88}[/tex]

sin(G) = 0.527374

G = [tex]\text{sin}^{-1}(0.527374)[/tex]

m∠G = 31.83°

6 = k over 9
k equals?

Answers

Answer:

k  = 54

Step-by-step explanation:

6 = [tex]\frac{k}{9}[/tex]

multiply both sides by 9 to isolate k

=> k  = 54

Answer:

k = 54

Step-by-step explanation:

[tex]6 = \frac{k}{9}[/tex]

Multiply both sides by 9:

9(6) = k

k = 54

Mrs townsend conducted a study of 145 students. She found that 20% of the students did NOT play video games. How many students did NOT play video games?

Please explain

Answers

Answer:

29 students

Step-by-step explanation:

Given that 20% of the 145 student did not play video games, you take the 145 times .20 and should be able to find the number that did NOT play video games.

[tex]0.2(145) = 29[/tex]

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