Solve the system of equations y = x + 5 and y = 5x - 11 using a graphical method.

A)

(4,9)

B)

(9.14)

C)

(9.4)

Eliminat

D)

(14,9)

The correct ordering, assuming x is positive, is III: 2x < x² < 2 < 1/x²< 1.

Let's evaluate each option one by one:

I. x² < 2x < 1/x² < 2 < 1

If x is positive, x² will always be greater than 1/x². Therefore, this ordering is not possible.

II. x² < 1/x² < 2x < 1 < 2

Similarly, x² will always be greater than 1/x². Therefore, this ordering is also not possible.

III. 2x < x² < 2 < 1/x² < 1

For this ordering to be true, we need to confirm that 2x is indeed less than x². Since x is positive, we can divide both sides of the inequality by x to preserve the inequality direction. This gives us 2 < x. As long as x is greater than 2, this ordering holds true. Therefore, the correct ordering, assuming x is positive, is III: 2x < x² < 2 < 1/x²< 1.

Learn more about inequality here:

https://brainly.com/question/20383699

#SPJ11

Answer:

70 [milliliters]

Step-by-step explanation:

Since the solution consists of 90% alcohol, the 63 milliliters of alcohol must represent 90% of the entire solution. Let the solution have \(x\) milliliters in total. We have the following equation:

\(0.9x=63\)

Divide both sides by 0.9:

\(x=\frac{63}{0.9}=\boxed{70}\)

Therefore, there are 70 milliliters in the solution.

Answer:

\(thank \: you\)

Answer:

You are 30!

Step-by-step explanation:

30 IS a multiple of 3, 5, and 10:)

The number that is a multiple of 3, 5, and 10 and is less than 100 is 30.To find the number that is a multiple of 3, 5, and 10 and is less than 100, we can find the least common multiple (LCM) of 3, 5, and 10. The LCM is the smallest positive integer that is divisible by all three numbers.

The prime factorization of these numbers is as follows: 3: 3

- 5:5

- 10:\(\(2 \times 5\)\)

The LCM is the product of the highest powers of all prime factors involved. In this case, since 10 already includes the prime factors of 2 and 5, we just need to multiply by 3 to include the prime factor of 3:

LCM =\(\(2 \times 5 \times 3 = 30\)\)

So, the number that is a multiple of 3, 5, and 10 and is less than 100 is 30.

The least common multiple (LCM) is the smallest positive integer that is evenly divisible by a set of numbers. In this case, we're looking for a number that is a multiple of 3, 5, and 10, and is less than 100.

Prime factorization is the process of breaking down a positive integer into a product of prime numbers. A prime number is a number greater than 1 that has no positive divisors other than 1 and itself. Prime factorization is a fundamental concept in number theory and is used to understand the fundamental building blocks of numbers.

To know more about multiple :

https://brainly.com/question/32482862

#SPJ3

Answer:

≈ 0.35

Step-by-step explanation:

First simplify \(\sqrt{8}\) and \(\frac{1}{8}\) :

\(\sqrt{8}\) ≈ 2.83

\(\frac{1}{8}\) = 0.125

Now multiply them as shown in the original equation:

0.125 x 2.83 = 0.35375 ≈ 0.35

The distance between given point A and point B on the graph is 3√2 units.

Hence the correct option is (A).

We know that the distance between two points having coordinates (a, b) and (c, d) is = √((c - a)² + (d - b)²).

From the given graph we can see that,

the coordinates of the point A = (-2, -1)

the coordinates of the point B = (1, 2)

So the distance between the point A and point B is given by,

= √((1 - (-2))² + (2 - (-1))²)

= √((1 + 2)² + (2 + 1)²)

= √(3² + 3²)

= √(9 + 9)

= √18

= 3√2 units

Hence the correct option will be (A).

To know more about coordinates here

https://brainly.com/question/17206319

#SPJ1

The Electron Geometry Chart is a visual representation of the arrangement of electrons in a molecule. It is used to predict the molecular shape and the bond angles of a molecule based on its electron-group geometry.

Electron geometry is a term used to describe the arrangement of electron groups around a central atom in a molecule. This arrangement is important in determining the molecular shape and the bond angles of the molecule, which can affect its physical and chemical properties.

The Electron Geometry Chart provides a simple and visual way of understanding the arrangement of electrons in a molecule. It shows the number of electron groups surrounding a central atom and the shape that they form.

The chart also shows the bond angles between the electron groups and the central atom, which can be used to predict the molecular shape of the molecule.

The value of the Electron Geometry Chart lies in its ability to help students and scientists understand the relationship between the electron arrangement in a molecule and its molecular shape and bond angles.

By using the chart, students can develop a deeper understanding of molecular geometry and its impact on the physical and chemical properties of a molecule.

to know more about the electron geometry chart refer here

https://brainly.com/question/7558603#

#SPJ11

Answer:

$7.20

hope this helps

The area of the figure can be found by decomposing it into two triangles and a rectangle, and then summing their areas. The area is 94 square yards.

To see why, we can first find the area of the rectangle by multiplying the base by the average of the two heights: (8 yards) x ((10 yards + 13 yards)/2) = 99 square yards.

Next, we can find the area of the left triangle by multiplying its base (8 yards) by its height (10 yards) and dividing by 2: (8 yards x 10 yards)/2 = 40 square yards.

Similarly, we can find the area of the right triangle by multiplying its base (8 yards) by its height (13 yards) and dividing by 2: (8 yards x 13 yards)/2 = 52 square yards.

Adding these areas together gives us a total area of 99 + 40 + 52 = 191 square yards.

However, we need to remember that we are dealing with a figure that is not a rectangle. Since the left and right triangles overlap, we need to subtract the area of the overlap, which is a smaller triangle with base 5 yards and height 3 yards. The area of this smaller triangle is (5 yards x 3 yards)/2 = 7.5 square yards.

Subtracting this overlap from our total area of 191 square yards gives us the final answer of 191 - 7.5 = 183.5 square yards. Rounded to the nearest whole number, the area of the figure is 94 square yards.

To learn more about area, click here: brainly.com/question/28470545

#SPJ11

Answer:

True??????? I guess

Step-by-step explanation:

Answer

It is true

you just solve for x on the left side first then the same on the right they should be the same

i think this is how i would do it

Answer:

12*x-(9*x)

Step-by-step explanation:

Answer:

-648

Step-by-step explanation:

Answer:

-648

Step-by-step explanation:

(10 times 10) equals 100

(-34 times 22) equals -748

then add them both together

Based on the data displayed, Mr. Simpson's class lost the most pencils overall.

The median value for Mr. Simpson's class is 14.5 pencils, which is higher than the median value for Mr. Johnson's class, which is 11 pencils.

The box plot for Mr. Simpson's class also has a narrower spread in the data, which means that the data is more consistent and less variable compared to Mr. Johnson's class, which has a wider spread in the data.

Therefore, based on the given information, we can conclude that Mr. Simpson's class lost the most pencils overall.

Learn more about graphs here:

https://brainly.com/question/17267403

#SPJ1

Answer:

Step-by-step explanation:

answer what?

If she makes  \(2\frac{1}{2}\)  batches of muffins then she needs total 5 cups.

Given that,

Amount of flour = \(1\frac{1}{2}\)

Amount of applesauce = 1/2

Since we know that,

A mixed fraction is one that is generated by the addition of a whole number and a fraction.

Then the total amount of cub used for making one batches of muffins

= \(1\frac{1}{2}\) + 1/2

= 3/2 + 1/2

= 2

Therefore total cups needed for one batch of muffins = 2

Then total cups needed for   \(2\frac{1}{2}\) batches of muffins    = 2x  \(2\frac{1}{2}\)

                                                                                          = 2x 1/5

                                                                                          = 5

Thus she needs 5 total cup.          

Learn more about the fraction visit:

https://brainly.com/question/5454147

#SPJ1                                                                        

Answer:

Because θ lies in quadrant II, 2θ must lie in quadrant IV. This means the tangent of 2θ is negative.

The adjacent side to θ is 7 because √(25²-24²)=7, so tanθ=7/24.

The double angle formula for tangent is tan 2θ = (2 tan θ) / (1 − tan² θ).

Substituting the value for tanθ in and keeping in mind that this is in quadrant IV, we get tan 2θ = -(2(7/24)/(1-(7/24)²)).  

Simplified, this becomes tan 2θ = -336/527.  

Therefore, the answer is C. -336/527.

The volume of the box can be calculated using the equation V = 16w.

The volume of the box can be calculated using the equation V = l x w x h.

In this case, the length is 1, the width is w, and the height is 8 cm. Thus, the volume of the box is V = 1 x w x 8 = 8w. As the length of the box is twice the width, the length can be written as 2w, and the volume becomes V = 2w x w x 8 = 16w. So, the volume of the box is 16w.

To calculate the volume of the box, the equation V = l x w x h is used, where l is the length, w is the width, and h is the height of the box. The given values of the length, width, and height of the box are 1, w, and 8 cm respectively.

So, the volume of the box is V = 1 x w x 8 = 8w. A

s the length of the box is twice the width, the length can be written as 2w. So, the volume of the box becomes V = 2w x w x 8 = 16w.

To know more about volume click on below link:

https://brainly.com/question/1578538#

#SPJ11

Answer:

1.) y = 4x - 3

2.) y = -3x + 2

Step-by-step explanation:

I'm not really sure how to explain it super well, but I do know the answers

Answer:

I left out a few so you can do 1 or 2! :D

Step-by-step explanation:

3: 1/2 hour + 1/4 hour= 3/4 hour on computer

5: 1/5 more of the money

6: 8/5      9/4

7: a:6 5/9  b: 3 9/10  c: 4/5  d: 4 5/8

8 They have the same denominator

10: a: 5/12  b: 6 times more c: How much of the day does he spend sleeping or schooling

Give Brainiest answer to me. It helps! :D

Answers:

4.)  

a)

i) 3/8 - 1/4 = 3/8 - 2/8 = 1/8

ii) 4/5 - 3/4 = 16/20 - 15/20 = 1/20

b)

9.) It's less than 1 and the tops are smaller then the bottem

Answer:

Dylan Ran 32.5 Miles

Step-by-step explanation:

26 x 125% = 32.5 Miles

Answer:

Step-by-step explanation:

P(t) = K / (1 + (K/P0 - 1) * e^(-rt))

In this equation, P(t) is the population at time t, P0 is the initial population at time t=0, K is the carrying capacity, r is the intrinsic growth rate, and e is the base of the natural logarithm ( approximately 2.71828).

To find the carrying capacity, you can set P(t) equal to K and solve for t. This will give you the time at which the population reaches its carrying capacity.

To find the value of k, you can plug in the values for P(t), P0, and r and solve for K.

To write the solution of the equation, you can solve for t by rearranging the equation and taking the natural logarithm of both sides.

To find the population after 10 weeks, you can plug in the values for P0, K, r, and t=10 into the equation and solve for P(t).

I hope this helps! Let me know if you have any further questions.

There 6 number of bags and each bag will have 4 marbles in it.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

4 x 6 = 24

If 24 represents total bof marbles.

So, we can assume that there 6 number of bags and each bag will have 4 marbles in it.

Learn more about unitary method here:

https://brainly.com/question/21648365

#SPJ2

Answer:

Yes they both are equal

A)The probability of exactly four buses arriving in the next 2 hours is\($P(X=4)=e^{\wedge}(-2)\left(2^{\wedge} 4 / 4 !\right)=0.090$\) ≈ 0.090.

B) The probability of at least two buses arriving in the next 2 hours is =0.865

C)  The probability of no buses arriving in the next 2 hours is =0.135

d) The probability that it will be between 30 and 90 minutes before the next bus arrives is ,0.185

a) Let \($X$\) be the number of buses that arrive in a 2-hour period. Since the time between arrivals of buses follows an exponential distribution with a mean of 60 minutes, the arrival rate λ is given by\($\lambda=1 / 60$\) 0 buses per minute.

Therefore, the number of buses that arrive in a 2-hour period is a Poisson distribution with parameter \(\mu=\lambda t=(1 / 60) \times 120=2$.\). Thus, X has a Poisson distribution with parameter μ = 2.

The probability of exactly four buses arriving in the next 2 hours is\($P(X=4)=e^{\wedge}(-2)\left(2^{\wedge} 4 / 4 !\right)=0.090$\) ≈ 0.090.

b) The probability of at least two buses arriving in the next 2 hours is

\($P(X \geq 2)=1-P(X=0)-P(X=1)=1-e^{\wedge}(-2)\left(2^{\wedge} 0 / 0 !\right)-e^{\wedge}(-2)\left(2^{\wedge} 1 / 1 !\right)=0.865$.\)

c) The probability of no buses arriving in the next 2 hours is

\(P(X=0)=$ $e^{\wedge}(-2)\left(2^{\wedge} 0 / 0 !\right)=0.135$\)

d) Let Y be the time between the first and second bus arrivals. Then Y follows an exponential distribution with a mean of 60 minutes. We want to find the probability that \($30 \leq Y \leq 90$\).

This is equivalent to finding \(P(Y \leq$ $90)-P(Y \leq 30)$,\), which is equal to F(90) - F(30), where F is the cumulative distribution function of the exponential distribution with \($\lambda=1 / 60$\)

Therefore, the probability that it will be between 30 and 90 minutes before the next bus arrives is\(F(90)-F(30)=\left(1-e^{\wedge}(-90 / 60)\right)-(1$ $\left.e^{\wedge}(-30 / 60)\right)=e^{\wedge}(-1.5)-e^{\wedge}(-0.5)=0.185$\)

Learn more about probability

https://brainly.com/question/30034780

#SPJ4

Answer:

Yes that is right

Step-by-step explanation:

Answer:

1004 is the correct awnser

Step-by-step explanation:

pls give me brainliest

Answer:

1004

Step-by-step explanation:

one thousand  = 1000

four = 4

1000+4 =1004