(x2 - 3)(x2 + 12) = 0

Answers

Answer 1

Answer:

x=1.7320508075688772 or x=−1.7320508075688772

Step-by-step explanation:

(x2−3)(x2+12)=0

x4+9x2−36=0

(x2−3)(x2+12)=0

x2−3=0 or x2+12=0

x=1.7320508075688772 or x=−1.7320508075688772


Related Questions

Which of the following lists of ordered pairs is a function?
O A. (2, 4), (0, 2), (2, -4), (5,3)
O B. (1,6), (2,7),(4,9), (0,5)
O c. (0, 2), (2, 3), (0, -2), (4,1)
O D. (1, 2), (1, -2), (3, 2), (3, 4)

Answers

Answer:

b

Step-by-step explanation:

Answer:

The option B i.e.(1,6), (2,7),(4,9), (0,5) represents the function.

Step-by-step explanation:

We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.

In other words, we can not have duplicated inputs as there should be only 1 output for each input.

Checking option A:

(2, 4), (0, 2), (2, -4), (5,3)

Here, the input x = 2 is repeated twice.

Thus, option A does not represent the function as the input x = 2 is duplicated and we can not have duplicated inputs as there should be only 1 output for each input.

Checking option B:

(1,6), (2,7),(4,9), (0,5)

It is clear that no input value is repeated. In other words, each input or x-value of the X set has a unique y-value or output of the Y set.

Thus, the option B represents the function.

Checking option C:

(0, 2), (2, 3), (0, -2), (4,1)

Here, the input x = 0 is repeated twice.

Thus, option C does not represent the function as the input x = 0 is duplicated and we can not have duplicated inputs as there should be only 1 output for each input.

Checking option D:

(1, 2), (1, -2), (3, 2), (3, 4)

Here, the input x = 1 is repeated twice, and also x = 3 is repeated twice,

Thus, option D does not represent the function as we can not have duplicated inputs as there should be only 1 output for each input.

Conclusion:

The option B i.e.(1,6), (2,7),(4,9), (0,5) represents the function.

What is the measure of Angle A B C ? 36° 43° 72° 144°

Answers

Step-by-step explanation:

the correct answer is C because the measurementor an angle cannot be under 72 :)

Answer:

36

Step-by-step explanation:

Please solve this for 15 points explain please

Answers

Answer:

1.25 cups

Step-by-step explanation:

Since you have 5 5/8 cups = 4 1/2 water bottles

you can make it

5.625  cups = 4.5 water bottles

Then, all you have to do is divide both sides of this equation by 4.5, so

5.625 / 4.5 = 1 water bottle

1.25 cups = 1 water bottle

What is the percent of change? Round to the nearest whole percent if necessary. Is the percent of change an increase or decrease? 100 to 150

Answers

Answer:

1)increase

2)50%

Explanation:

Use the formula↓

(y2 - y1) / y1)*100

(150 - 100) / 100) * 100 = 50 %

y1= first value

y2= second value

Jacob spent 24% of his allowance last week. What fraction of his allowance did Jacob spend? Write the answer in simplest form.

Answers

6/25

Step-by-step explanation:

24/100

both can be multiplyed or divided by 4 and that is the lowest.

so

24÷4=6

100÷4=25

Given the area of a circle to be 10 inches^2 what is the radius and the diameter the circumference

Answers

Answer:

Radius = 1.78 inches

Diameter = 3.56 inches

Circumference = 11.18 inches

Step-by-step explanation:

Area of circle = 10 inches square

[tex]\pi r^2 = 10\\r^2 = \frac{10}{3.14}\\r^2 = 3.18\\\sqrt{r^2}=\sqrt{3.18}\\r=1.78[/tex]

Radius = 1.78 inches

Diameter = 2r = 2(1.78) = 3.56 inches

Circumference = 2πr = 2*3.14*1.78 = 11.18 inches

Steven and Mark each carried 48 ounces of juice for trekking. At the end of their journey, Steven's juice bottle was 3/4 empty and Mark's bottle was 2/3 empty. Which of the following sentences is correct?

A. 28 ounces of juice was remaining at the end of their journey.

B. 4 ounces of juice was left at the end of their journey.

C. Mark drank 36 ounces of juice during the journey.

D. Steven drank 32 ounces of juice during the journey.

Answers

Answer:

A, C and D

Step-by-step explanation:

Initial volume of juice = 48 ounces each

Mark

Used: 48*3/4 = 36 ouncesLeft: 48 - 36= 12 ounces

Steven

Used: 48*2/3 = 32 ouncesLeft: 48 - 32 = 16 ounces

Total remaining juice: 12 + 16 = 28 ounces

Correct choices: A, C and D

He be having more drip thin connies

Answers

Answer:

i dont even know to be honest but why ask dat

Step-by-step explanation:

Answer:

He validdddddddd

The slope of the line below is 1 .write the point slope equation for the line using the coordinates of the labeled point. (5,7)​

Answers

Answer:

y - 7 = 1 (x-5)

Step-by-step explanation:

The point slope equation of a line is expressed as;

y - y0 = m(x-x0)

m is the slope

(x0, y0) is the point on the line

Given the following

m = 1

(x0, y0) = (5, 7)

Substitute into the formula

y - 7 = 1 (x - 5)

y - 7 = x -5

y = x - 5 + 7

y = x + 2

Hence the point slope equation of the line is y - 7 = 1 (x-5)

Two puppies, Ruth and Scoonsie, are playing together. Scoonsie weighs 111111 kilograms, and Ruth is lighter than Scoonsie.
Write an inequality that describes r, Ruth's weight in kilograms.

Answers

Answer:

[tex]r < 11[/tex]

Step-by-step explanation:

Given

Represent Ruth with r and Scoonsie with s

[tex]s = 11kg[/tex]

Required

Represent Ruth's weight as an inequality

From the question, Ruth weighs lesser than Scoonsie. This is represented as:

[tex]Ruth < Scoonsie[/tex]

For proper representation, it is:

[tex]r < s[/tex]

Substitute 11 for s

[tex]r < 11[/tex]

The above inequality represents Ruth's weight

Find the area of these shapes

Answers

Answer:

Step-by-step explanation:

Left figure:

area of rectangle = 4×6 = 24 cm²

area of triangle = ½×(base of triangle)×(height of triangle) = ½×6×4  = 12 cm²

area of shape = 24+12 = 36 cm²

Right figure:

area of rectangle = 6×8 = 48 m²

area of triangle = ½×(base of triangle)×(height of triangle) = ½×8×(8-6) = 8 m²

area of shape = 48+8 = 56 m²

The probability of eating a sugar cookie is 0/35
the chance of eating a sugar cookie is ____​

Answers

Answer:

0

Step-by-step explanation:

Well if the probability is 0 then the chance is 0

Silvia has a coupon for 25% off an item that regularly costs $8. How much will Silvia pay if she uses the coupon?

Answers

Answer:

0.32

Step-by-step explanation:

just divide

Answer:

$6

Step-by-step explanation:

25%= 1/4

8 divided by 4 =2

$2 is what is taken off

$8-$2 which is $6

Suppose that the mean Systolic blood pressure for adults age 50-54 is 125 mmHg with a standard deviation of 5 mmHg. It is known that Systolic blood pressure is not Normally distributed. Suppose a sample of 25 adult Systolic blood pressure measurements is taken from the population. What is the interpretation of the z score used to find the probability that the average Systolic blood pressure will be less than 122 mmHg

Answers

Answer:

The probability cannot be determined.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question:

We have a sample of size less than 30, and since the distribution is not normal, the central limit theorem cannot be used, and the probability cannot be determined.

PLEASE ANSWER ASASP FOR BRAINLEST!!!!!!!!!!!!!!
what kind of figurative language is stanza 86?
86. Is heard the tramp of his steed as he rides.

Answers

onomatopoeia? that’s the only one that seems like it might be the answer cus it doesn’t really seems like figurative language
Onomatopoeia would be the figurative language :)

40 POINTS PLEASE HELP

Answers

Answer:

Step-by-step explanation:

Y = 10

C = 40

D = 76

Answer: Okay found the answer hope I am not too late

Step-by-step explanation:

Y is 10

C is 40

D is 76

Hope this helps!

Tara needs an $8,000 personal loan.

Which loan option would require her to pay back the least amount of money?


36-month loan with a 9% annual simple interest rate

42-month loan with a 7% annual simple interest rate

48-month loan with an 8% annual simple interest rate.

54-month loan with a 6% annual simple interest rate

Answers

The least amount is paid back in a 42-month loan with a 7% annual simple interest rate.

What is simple interest?

The term simple interest refers to a type of interest that is paid only on the principal and not on the interest. We have to note that the time and the interest rate all contribute to increasing the amount of money to be paid back.

In the first case, the amount to be paid back is;

A = $8,000 + ($8,000 * 9 * 3/100)

= $10160

In the second case;

A = $8,000 + ( $8,000 * 7 * 3.5/100)

A =$ 9960

In the third case;

A = $8,000 + ($8,000 * 8 *4/100)

A = $10560

In the fourth case;

A = $8,000 + ($8,000 * 6 * 4.5/100)

A = $10160

Hence, the least amount is paid back in a 42-month loan with a 7% annual simple interest rate.

Learn more about simple interest: https://brainly.com/question/26437826?

Fill in the blank to make the number sentence true. Explain how you know. ?/3 x 11 > 11

Answers

Answer:

6

Step-by-step explanation:

Answer:

6/3 x 11 > 11

Step-by-step explanation:

PLEASE HELP! i have by the end of the day to turn this in, PLEASE DONT GUESS

Answers

the answer is x=45

hope it helps

Answer:

45 degrees

Step-by-step explanation:

All 3 angles have to add up to 180, so you have:

[tex]x + 32 + 103 =180[/tex]

[tex]x + 135 = 180[/tex]

subtract 135 from both sides

[tex]x = 45[/tex]

(-3/4) divided by 2/9 =


Please show steps.

Answers

Answer:

-27/8

Step-by-step explanation:

Dividing fractions is the same as multipling the first fraction by the reciprocal of the second fraction (the numerator and denomiator are flipped).

= -3/4 x 9/2

= -27/8

You can simplify this if you want so it's not a mixed fraction

= -3 3/8

Lin ran 2 3/4 miles in 2/5 of an hour
Noah ran 8 2/3 miles in 4/3 of an hour

Who ran faster?

Answers

Answer:

Lin runs faster

Step-by-step explanation:

Lin:  11/4 ÷ 2/5  =  11/4 · 5/2 = 55/8 or 6.875 mph

Noah: 26/3 ÷ 4/3  =  26/3 · 3/4 = 13/2 or 6.5 mph  

a recipe for 30 cookies calls for 4 tablespoons of sugar. If you make 40 cookies and use 5 tablespoons of sugar, will the cookies taste the same? HELP ASAP WILL MARK BRAINLISET IF CORRECT

Answers

No because the each batch of 2 table spoons is 15 and 40 minus 30 equals 10 so no it won’t taste the same

In a triangle, the sum of the lengths of any two legs must be ______________ the length of the third leg.


Plz help this is due in 40 minutes

Answers

Answer:

Step-by-step explanation:

Sum of two sides must be longer than the third.

In a triangle, the sun of the lengths of any two legs must be GREATER THAN the length of the third leg. i hope this is what you are looking for

Write the ratio as a fraction in simplest form with whole numbers in the numerator and denominator

64 hr to 72 hr

Answers

Answer:

8/9

Step-by-step explanation:

Find the HCF of 64 , 72

64  = 2 * 2 * 2 * 2 * 2 *2 = 2^6

72 = 2 * 2 * 2 * 3 * 3

HCF = 2*2*2 = 8

64 : 72 = [tex]\frac{64}{72}[/tex]

            = 64 ÷ 8

               72 ÷ 8

           [tex]=\frac{8}{9}[/tex]

             

rob is saving to buy a new mp3 player. for every $15 he earns babysitting, he saves $8. On Saturday, Rob earned $90 babysitting. how much money did he save?

Answers

Answer: 42

Step-by-step explanation: 15 -8=7 90/15=6 6*7=42

Which ordered pair is the solution to the system of linear equations y=-7x+2 and y = 9x-14?
(-5,1)
(1.-5)
(5,-1)
O (-1.5)

Answers

Answer:

(1,-5)

Step-by-step explanation:

you see ; equation 1 = equation 2

because it both = y

so,

-7x+2 = 9x-14

2+14 = 9x+7x (change side for easier solutions)

16 = 16x

x = 16÷16

x = 1

you can find x, so from choice it has only choice that x = 1

so you can answer!

hope it helps ☺️

Mike Jones bought an older house and wants to put in a new concrete driveway. The driveway will be 30 feet long, 10 feet wide, and 9 inches thick. Concrete (a mixture of sand, gravel, and cement) is measured by the cubic yard. One sack of dry cement mix costs $7.30, and it takes four sacks to mix up 1 cubic yard of concrete. How much will it cost Mike to buy the cement

Answers

Answer:

$26280

Step-by-step explanation:

Cuz i said so

A manager has hired a consultant to compare two ways a product is presented to customers. Twelve customers are presented with each product. What would be the roles of descriptive and inferential statistics in the analysis of these data

Answers

Answer:

The role of descriptive statistics in data analysis is to provide descriptions of the population characteristics, using numerical calculations, graphs, and tables.  Descriptive statistics describe what is going on in a population or data set.

On the other hand, inferential statistics make predictions and draw inferences about a population using the population sample.

Step-by-step explanation:

The two types of statistics are descriptive statistics and inferential statistics.  Descriptive statistics describe sets of data, allowing patterns to emerge from the data.  These also enable the presentation of the data in a more meaningful way, allowing for simpler interpretation of the data. Two types of descriptive statistics help in this regard.  They are measures of central tendencies and measures of spread.  Inferential statistics draws conclusions about the sets of data based on sampling, allowing for the making of generalizations and testing of hypotheses.

Does 6.3=6.33 plz help

Answers

no

it does not

6.3 is 6.30

6.33 is not equal to 6.30

so the answer is No

This question is geometry

Answers

Answer:

Its 138

Step-by-step explanation:

LOL

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