Solve. 10x^2 - 6 = 9

Answers

Answer 1

Answer:

x =  ±sqrt(3/2)

Step-by-step explanation:

10x^2 - 6 = 9

Add 6 to each side

10x^2 - 6+6 = 9+6

10x^2 =15

Divide each side by 10

10x^2/10  = 15/10

x^2 = 3/2

Take the square root of each side

sqrt(x^2) = ±sqrt(3/2)

x =  ±sqrt(3/2)


Related Questions

Help please!!!!!!!!!!

Help please!!!!!!!!!!

Answers

Answer:

25

Step-by-step explanation:

because 25 times 2 is 50 and 25 times 3 is 75

hope I helped!!! ;)

Find all missing parts of the triangle below. Show all of your work and round to the nearest tenth.
W

Find all missing parts of the triangle below. Show all of your work and round to the nearest tenth.W

Answers

All the values in triangle are,

∠V = 100.5°

And, Sides are, u = 85.06

v = 154.36

Given that;

A triangle is shown in image.

Now, By triangle UVW,

Sum of interior angle are 180 degree

Hence,

∠U + ∠V + ∠W = 180°

32.6° + ∠V + 46.9° = 180°

∠V = 180° - 79.5°

∠V = 100.5°

Now, By sin rule;

Sin U / u = Sin W / w

sin 32.6 / u = sin 46.9 / 115

0.54 / u = 0.73/115

0.54 x 115 / 0.73 = u

u = 85.06

And, WE have;

sin V / v = Sin U / u

sin 100.5° / v = sin 32.6/ 85.06

0.98 / v = 0.54 / 85.06

0.98 x 85.06 / 0.54 = v

v = 154.36

Thus, All the values in triangle are,

∠V = 100.5°

u = 85.06

v = 154.36

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I WILL MARK BRAINLIEST

I WILL MARK BRAINLIEST

Answers

c is the correct answer

Differentiate y=x4 -x

Answers

Answer:

Step-by-step explanation:

To differentiate the function y = x^4 - x, we will use the power rule of differentiation. The power rule states that if f(x) = x^n, then the derivative of f(x) is f'(x) = nx^(n-1).

So, for y = x^4 - x, we can find the derivative as follows:

y' = 4x^3 - 1

So, the derivative of the function y = x^4 - x is y' = 4x^3 - 1.

900,000-400,000 esitmate

Answers

Answer:

500,000

Step-by-step explanation:

9-4=5 just add the zeros

Answer:

aahhhh

Step-by-step explanation:

Each student at Riverside Elementary has a student ID number made up of six numbers between 1 and 9. How many possible student ID's can be made? A. 60,480 B. 117,649 C. 531,441 D. 1,000,000. Please put a good explanation, I need to figure this out soon!

Answers

Answer:

C. 531,441

Step-by-step explanation:

You take the largest possible value and put it to the power of how many numbers there are. In this case 9^6. Hope this helps.

Irene y Alejandro tienen 73 libros irene tiene el doble que Alejandro mas 1 cuantos libros tiene cada uno?

Answers

Irene has 49 Books, and Alejandro has 24 books.

Let's assume that Irene has x books, and Alejandro has y books. According to the given information, we can form the following equations:

1. Irene has twice as many books as Alejandro plus 1:

  x = 2y + 1

2. The total number of books between Irene and Alejandro is 73:

  x + y = 73

We can now solve this system of equations to find the values of x and y.

Substituting the value of x from equation (1) into equation (2), we have:

(2y + 1) + y = 73

3y + 1 = 73

3y = 72

y = 24

Now, we can substitute the value of y into equation (1) to find x:

x = 2(24) + 1

x = 49

Therefore, Irene has 49 books, and Alejandro has 24 books.

To verify our solution, we can check if the sum of their books equals 73:

49 + 24 = 7

So, our solution is correct.

In conclusion, Irene has 49 books, and Alejandro has 24 books.

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Given a the line y=2.5x+4, find line whose graph:
is parallel to the graph of the given line.

Answers

Answer:

y=2.5x+10

Step-by-step explanation:

The given line is y=2.5x+4.

Here, the slope of the line, \(m_0=2.5\) and

the y-intercept of the line, \(C_0=4\).

The graph of the line has been shown in the figure.

The parallel lines never intersect each-other and always have a fixed distance between then.

Mathematically, a line having the slope, m, and the y-intercept, C, i.e

y=mx+C is parallel to the given line if it has equal slopes, \(m=m_0\), and different intercepts, \(C\neq C_0\).

So, the equation of the parallel line is

y=2.5x+C, where \(C\neq 4\).

For example, take C=10 than the equation of a parallel line is

y=2.5x+10 has been shown in the graph.

Like this, there are infinitely many possible parallel lines to the given line.

Given a the line y=2.5x+4, find line whose graph:is parallel to the graph of the given line.

Given fx = vneiolfjwijfewjfwe

Given fx = vneiolfjwijfewjfwe

Answers

Part (a)

\(f(3)=5(3)-3=\boxed{12}\)

Part (b)

\(5x-3=-28 \\ \\ 5x=-25 \\ \\ x=\boxed{-5}\)


QUESTION: Use the two way table below to answer the question: How
many chemical engineers chose science as their favorite subject? *

The table shows the results of a survey about what the engineers said their favorite subject was in middle school

QUESTION: Use the two way table below to answer the question: Howmany chemical engineers chose science

Answers

Answer:

B.91

Step-by-step explanation:

Because it says so on the table.

Need help ASAP it’s due at 12 tonight

Need help ASAP its due at 12 tonight

Answers

Answer:

quarterly N = 4

semi-annually N = 2

Monthly N = 12

annually N = 1

Step-by-step explanation:

The number of compounding times per period for an investment is usually denoted as N in the compound interest formula:

A = P(1 + r/n)^nt

n = number of times in a year for which the amount is compounded :

Annually : compounding times = 1 = 12 /12

Semi annually (6 months) ; N = 12 /6 = 2

Quarterly ; (3 months) ; N = 12 /3 = 4

Monthly ; (12 months) ; N = 12 / 12 = 1

In each rule , copy the chart and fill in the missing parts

In each rule , copy the chart and fill in the missing parts

Answers

Answer:

7. 14

15. 30

28. 56

32. 64

18 36

x 2x

1/2y. y

2x. 4x

x+3 2x+9

Step-by-step explanation:

each out is double the in

The diagram shows a cuboid.
4 cm
5 cm
9 cm
What is the volume of the cuboid?
Asap

The diagram shows a cuboid.4 cm5 cm9 cmWhat is the volume of the cuboid?Asap

Answers

Answer:

180

Step-by-step explanation:

9x5=45

45x4=180

Answer:

180 cm^3

Step-by-step explanation:

4x5x9=180

Hope this helps! ;)

Aimee's garbage disposal has 7/8 horse power. Vincent's garbage disposal has 3/5 horse power. How much more power does aimee's garbage disposal have?

Answers

Answer:

Aimee's garbage disposal has 11/40 more power than Vincent's garbage disposal.

Step-by-step explanation:

Aimee's garbage disposal horse power = 7/8

Vincent's garbage disposal horse power = 3/5

All we need is to subtract Vincent's power from Aimee's power.

i.e.

\(\frac{7}{8}-\frac{3}{5}\)

Thus,

\(\frac{7}{8}-\frac{3}{5}\:=\frac{35}{40}-\frac{24}{40}\)

\(\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{c}-\frac{b}{c}=\frac{a-b}{c}\)

         \(=\frac{35-24}{40}\)

         \(=\frac{11}{40}\)

Thus,  Aimee's garbage disposal has 11/40 more power than Vincent's garbage disposal.

Maria has 8 more scarves than Lucy Lucy has 8 scarves. How many scarves does Maria have, write an equation?

Answers

The equation M = 8 + 8 represents the given information. Maria has 16 scarves.

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Let's let "M" represent the number of scarves that Maria has.

According to the problem, "Maria has 8 more scarves than Lucy." We know that Lucy has 8 scarves. So, Maria has 8 more than that.

We can represent this information in an equation:

M = 8 + 8

We add 8 to Lucy's 8 scarves to get the total number of scarves that Maria has, which is 16.

So, Maria has 16 scarves.

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The required Maria has 16 scarves, and the expression models the situation is given as M = 8 + L.

What are equation models?

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
Let's use the variable "M" to represent the number of scarves that Maria has. Since Maria has 8 more scarves than Lucy, and Lucy has 8 scarves, we can write an equation as,

M = 8 + L

where L is the number of scarves that Lucy has. Substituting L = 8 into this equation, we get:

M = 8 + 8

M = 16

Therefore, Maria has 16 scarves.

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PLEASE HELP!!!!!!! Thank you!

PLEASE HELP!!!!!!! Thank you!

Answers

Answer:

θ= 150°

Step-by-step explanation:

Look at the picture below

PLEASE HELP!!!!!!! Thank you!

Question: Solve for m. 4 + (7−m) = 5 Answer Selection: Option 1.) m = 16 or m= −2 Option 2.) m = 6 or m= −8 Option 3.) m = 2 or m = 16 Option 4.) m = 6 or m = 8

Answers

Answer:

Option 4. m=6 or m=8

Step-by-step explanation:

4+(7-m)=5

7-m=1

-m=-6

m=6

-4+(7-m)=-5

7-m=-1

-m=-8

m=8

Answer:

Step-by-step explanation:

Answer is option 4

When you plug in the 6 into the equation you get 5.

Work for

Plugging in 6:

4+(7-6)=5

4+(1)=5

5=5

Simplify 5^-2 x 5^5 x 5

Answers

5^-2 = .04
5^5 = 3125

.04 x 3125 x 5 = 625





Answer:

625

Step-by-step explanation:

5^-2 * 5^5*5

5^-2+5+1

5^4

5x5 = 25x5 = 125x5 = 625

5) sin C A 50 48 C 14 B 25 7 A) B) 7 25 7 24 ( ۲) D

Answers

A Right triangle is defined as a triangle that has an angle whose measure is 90 degrees (this angle is also known as "Right angle").

In this case you can identify that the triangle ABC shown in the picture is a Right triangle.

You need to remember the following Trigonometric Identity:

\(\sin \alpha=\frac{opposite}{hypotenuse}\)

In this case you can identify that:

\(\begin{gathered} \alpha=C \\ opposite=AB=48 \\ hypotenuse=AC=50 \\ \end{gathered}\)

Therefore, substituting values ans simplifying, you get:

\(\begin{gathered} \sin C=\frac{48}{50} \\ \\ \sin C=\frac{24}{25} \end{gathered}\)

The answer is: Option C.

We have 2 squares. One square is shaded 2/12 and the other shaded square in the diagram is 2/15 shaded. How much of the total diagram is shaded?

A.0.148
B.0.148 repeated
C. 0.3
D.0.3 repeated

Answers

Answer: The answer to your question is C. Brainliest?

Step-by-step explanation:

For the first square, we can multiply both the numerator and denominator by 5 to get an equivalent fraction with a denominator of 60:

2/12 = (2 x 5) / (12 x 5) = 10/60

For the second square, we can multiply both the numerator and denominator by 4 to get an equivalent fraction with a denominator of 60:

2/15 = (2 x 4) / (15 x 4) = 8/60

Now, we can add the two fractions:

10/60 + 8/60 = 18/60

Simplifying this fraction by dividing both numerator and denominator by 6, we get:

18/60 = 3/10

Therefore, the total shaded area in the diagram is 3/10 or 0.3 in decimal form.

The answer is C. 0.3.

A Web music store offers two versions of a popular song. The size of the standard version is 2.9 megabytes (MB). The size of the high-
quality version is 4.2 MB. Yesterday, there were 1110 downloads of the song, for a total download size of 4077 MB. How many
downloads of the high-quality version were there?
Number of high-quality version downloads: 0
Х
?

Answers

Answer:

100

Step-by-step explanation:

i gueesss sheeeesh dherh

is (0,5) a solution of y = -3x - 5

Answers

Answer:

Yes

Step-by-step explanation:

Insert (0,5) to the problem.

-5 = -3(0) - 5

      0 - 5

-5 = -5

James can do a job in 1.5 hours. Jane can do the same job in 1 hour. How long will it take them to do the job if they work together?

Answers

Answer:

0.5 hours

Step-by-step explanation:

If Jams does a job in 1.5 hours, it will take less time for both of them to work together, hence, taking 30 minutes

TEAMWORK MAKES THE DREAM WORK!

It would take the 30 minutes

a clock chimes once at 1, twice at 2

Answers

Answer:

3 times at 3

Step-by-step explanation:

Ava has 6 boxes of supplies for her classroom each box has a mass of 4 kg what is the total mass for all boxes

Answers

Given the mass of each box, and the total number of boxes, multiply both quantities to obtain the total mass, as shown below

\(6\cdot4=24\to6\text{ boxes, 4 }kg\text{ each}\)

Therefore, the answer is 24kg.

What is y=- x +3 in standard form using integers?

Answers

Answer:

x+y = 3

Step-by-step explanation:

Office Innovations LLC is aiming for a net profit of $1,500,000 on its new desk top mini-shredder. The fixed costs for the production are $984,000 while variable costs are $14.50 per unit. The estimated unit sales are 480,000 units. What selling price should the company try in dollars? Round to the nearest hundredth.

Answers

As a result, $17.55 should be chosen as the selling price to sell 480,000 units for a profit of $1,500,000.

How to calculate the selling price ?

We must add the desired net profit of $1,500,000 to the total cost of producing the 480,000 units to determine the selling price.

You can determine the overall cost as follows:

Total cost equals fixed costs plus. (Variable costs per unit x Number of units)

Total expense equals $984,000 plus ($14.50 x 480,000)

Cost in total is $7,224,000.

To reach a net profit of $1,500,000, we must add the following sum to the whole expense:

Selling price is calculated as Total Cost + Desired Net Profit / Units Sold.

($7,224,000 + $1,500,000) / 480,000 = selling price

Price to Sell: $17.55

As a result, $17.55 should be chosen as the selling price to sell 480,000 units for a profit of $1,500,000.

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Answer:

$19.68 per unit

--------------------------

To determine the selling price, we first need to calculate the total  variable cost:

Total variable cost = Cost per unit * unit sales Total variable costs = $14.50 * 480000 = $6960000

Now calculate the required revenue:

Revenue = Fixed costs + total variable costs + net profit Revenue = $984000 + $6960000 + $1500000 = $9444000

Find the required selling price per unit:

Selling price per unit = Revenue / unit sales Selling price per unit = $9444000 / 480000 = $19.675 ≈ $19.68

PLEASE HELP!! a bag contains 10 marbles. four of them are red, three blue, two white, and one yellow. A mare ke drawn at random. What is the probability that it is blue?

PLEASE HELP!! a bag contains 10 marbles. four of them are red, three blue, two white, and one yellow.

Answers

Answer:

The probability that one marble drawn at random is not blue is 70%

Solve for x: 32 +4= 9r + 3

Answers

Answer:

x = 11/3 or in decimal form x =3.6

Step-by-step explanation:

3. Show that 5424 9813 2720 0085 is an invalid MASTERCARD credit card number.

Answers

Answer:

Step-by-step explanation:

To check whether the given credit card number is valid or not, we need to apply the Luhn algorithm or the mod-10 algorithm. The Luhn algorithm works by adding up all the digits in the credit card number and checking if the sum is divisible by 10 or not. If it is, then the credit card number is considered valid, otherwise, it is invalid.

Let's apply the Luhn algorithm to the given credit card number:

Step 1: Starting from the rightmost digit, double every second digit

| 5 | 4 | 2 | 4 | 9 | 8 | 1 | 3 | 2 | 7 | 2 | 0 | 0 | 0 | 8 | 5 |

|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|

| | 8 | | 8 | | 16| | 6 | | 14| | 0 | | 0 | | 10|

Step 2: If the doubled value is greater than 9, add the digits of the result

| 5 | 4 | 2 | 4 | 9 | 8 | 1 | 3 | 2 | 7 | 2 | 0 | 0 | 0 | 8 | 5 |

|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|

| | 8 | | 8 | | 7 | | 6 | | 5 | | 0 | | 0 | | 1 |

Step 3: Add up all the digits in the credit card number, including the check digit

5 + 4 + 2 + 4 + 9 + 8 + 1 + 3 + 2 + 7 + 2 + 0 + 0 + 0 + 8 + 5 + 1 = 61

Step 4: If the sum is divisible by 10, then the credit card number is valid, otherwise, it is invalid.

61 is not divisible by 10, therefore the given credit card number is invalid.

Hence, it can be concluded that 5424 9813 2720 0085 is an invalid MASTERCARD credit card number.

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