Which linear equation represents the information shown in the table?
x y
-6-1
00
12 2

Organizations that build strategic information systems create systems that are paramount to business success. The correct option is(D).

Strategic information systems are those that support the long-term goals and objectives of an organization, aligning the use of technology with the strategic direction of the business. These systems provide a competitive advantage by enabling the organization to achieve its strategic goals and objectives more efficiently and effectively.

They typically involve the integration of different types of information systems, such as transaction processing systems, decision support systems, and executive information systems, to support the decision-making process at all levels of the organization.

By building strategic information systems, organizations can improve their overall performance, enhance their operational efficiency, and gain a competitive advantage in the marketplace.

Such systems can help organizations to better understand their customers, identify new market opportunities, improve supply chain management, and optimize business processes.

In today's rapidly changing business environment, strategic information systems are essential for organizations to remain competitive and achieve long-term success.

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Answer:

B

Step-by-step explanation:

So we have the system of equations:

\(x-2y=3\\2x-3y=9\)

To solve, we can use the substitution method. First, add 2y to both sides in the first equation:

\(x=3+2y\)

Now, substitute this into the secon equation:

\(2(3+2y)-3y=9\)

Distribute the 2:

\(6+4y-3y=9\)

Combine like terms:

\(6+y=9\)

Subtract 6 from both sides:

\(y=3\)

So, the value of y is 3.

Substitute this back into the original equation to find x. Thus:

\(x=3+2(3)\)

Multiply:

\(x=3+6\)

Add:

\(x=9\)

So, our answer is (9,3)

And we're done!

Answer:

See image

Step-by-step explanation:

Use y = mx + b called the slope-intercept form of the equation because you can pick the slope and also the y-intercept right off this equation. If you know what to look for, the information is just right there waiting for you to see it.

The m is the slope, that is the number in front of the x.

The b is the y-intercept, that is the number added on at the end of the equation.

Answer:

see explanation

Step-by-step explanation:

The perimeter is the sum of the 3 sides of the triangle , that is

3x + 2x + 6 + 6x - 3 ( simplify by collecting like terms )

= 11x + 3

Given the perimeter = 36 units , then

11x + 3 = 36 ( subtract 3 from both sides )

11x = 33 ( divide both sides by 11 )

x = 3

Then

base = 2x + 6 = 2(3) + 6 = 6 + 6 = 12 units

height = 3x = 3(3) = 9 units

hypotenuse = 6x - 3 = 6(3) - 3 = 18 - 3 = 15 units

Answer:

Yes

Step-by-step explanation:

An equation is called a Direct Variation if it is the form y=kx, where, k cannot be equal to zero is the constant of variation.

the value of the constant of variation is obtained by diving x:

\(k=\frac{y}{x}\)

Answer:

_14

Step-by-step explanation:

step1 18×2 -50

step2 18×2 =36_50

step3 36_50=_14

Answer:

2(9*x-25)=18×2-50

Step-by-step explanation:

the answer is in the problem since we know 1 times anything will stay the same. so just divide the other integers by 2 and put the problem in parentheses.

The polynomial, - 2r + 6r^5 + sr is a trinomial.

The degree of the polynomial is 5.

A polynomial can be defined as an algebraic expression that consists of constants, variables, and positive exponents.

The degree of a polynomial is dependent on the highest exponent value carried by any of the terms. Also, the number of terms a polynomial has determines what type of polynomial it is.

Given the polynomial, - 2r + 6r^5 + sr:

It has three terms, therefore, it is a trinomial.

The degree of the polynomial is 5.

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ANSWER:the answer is going to be  2p+3=7;p=2 ik this because i just did this question and got it right. yw

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

2 pounds of bananas were bought.

The equation that represents the situation is 2p + 3 = 7.

Option D is our answer.

2p + 3 = 7 ; p - 2 pounds.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example: 2x – 5 = 15 is an equation.

We have,

Let banana be denoted by p.

Three more than twice as many pounds of apples as bananas.

This can be written as:

Apples = 2p + 3 ____(1)

Apples = 7 pounds _____(2)

Now,

From (1) and (2) we get,

7 = 2p + 3

The number of pounds of apples:

7 = 2p + 3

Subtract 3 on both sides.

7 - 3 = 2p + 3 - 3

4 = 2p

Divide both sides by 2.

4/2 = 2p/2

p = 2

Thus,

2 pounds of bananas were bought.

i.e p = 2.

The equation that represents the situation is 2p + 3 = 7.

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The angle it makes with the positive x axis in the xy plane is 61.3145 degrees.

In this question,

A normal vector to the plane is any vector that starts at a point in the plane and has a direction that is orthogonal (perpendicular) to the surface of the xy plane .

The magnitude of the xy plane, hypotenuse = 25 units

The x component of the xy plane, base = 12 units

Let θ be an angle, then the angle it makes with the positive x axis is

\(\theta = cos^{-1}(\frac{base}{hypotenuse} )\)

⇒ \(\theta = cos^{-1}(\frac{12}{25} )\)

⇒ \(\theta = cos^{-1}(0.48)\)

⇒ \(\theta = 61.3145\)

Hence we can conclude that the angle it makes with the positive x axis in the xy plane is 61.3145 degrees.

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Let \(A(t)\) = amount of salt (in pounds) in the tank at time \(t\) (in minutes). Then \(A(0) = 11\).

Salt flows in at a rate

\(\left(0.6\dfrac{\rm lb}{\rm gal}\right) \left(3\dfrac{\rm gal}{\rm min}\right) = \dfrac95 \dfrac{\rm lb}{\rm min}\)

and flows out at a rate

\(\left(\dfrac{A(t)\,\rm lb}{75\,\rm gal + \left(3\frac{\rm gal}{\rm min} - 3.25\frac{\rm gal}{\rm min}\right)t}\right) \left(3.25\dfrac{\rm gal}{\rm min}\right) = \dfrac{13A(t)}{300-t} \dfrac{\rm lb}{\rm min}\)

where 4 quarts = 1 gallon so 13 quarts = 3.25 gallon.

Then the net rate of salt flow is given by the differential equation

\(\dfrac{dA}{dt} = \dfrac95 - \dfrac{13A}{300-t}\)

which I'll solve with the integrating factor method.

\(\dfrac{dA}{dt} + \dfrac{13}{300-t} A = \dfrac95\)

\(-\dfrac1{(300-t)^{13}} \dfrac{dA}{dt} - \dfrac{13}{(300-t)^{14}} A = -\dfrac9{5(300-t)^{13}}\)

\(\dfrac d{dt} \left(-\dfrac1{(300-t)^{13}} A\right) = -\dfrac9{5(300-t)^{13}}\)

Integrate both sides. By the fundamental theorem of calculus,

\(\displaystyle -\dfrac1{(300-t)^{13}} A = -\dfrac1{(300-t)^{13}} A\bigg|_{t=0} - \frac95 \int_0^t \frac{du}{(300-u)^{13}} \)

\(\displaystyle -\dfrac1{(300-t)^{13}} A = -\dfrac{11}{300^{13}} - \frac95 \times \dfrac1{12} \left(\frac1{(300-t)^{12}} - \frac1{300^{12}}\right) \)

\(\displaystyle -\dfrac1{(300-t)^{13}} A = \dfrac{34}{300^{13}} - \frac3{20}\frac1{(300-t)^{12}}\)

\(\displaystyle A = \frac3{20} (300-t) - \dfrac{34}{300^{13}}(300-t)^{13}\)

\(\displaystyle A = 45 \left(1 - \frac t{300}\right) - 34 \left(1 - \frac t{300}\right)^{13}\)

After 1 hour = 60 minutes, the tank will contain

\(A(60) = 45 \left(1 - \dfrac {60}{300}\right) - 34 \left(1 - \dfrac {60}{300}\right)^{13} = 45\left(\dfrac45\right) - 34 \left(\dfrac45\right)^{13} \approx 34.131\)

pounds of salt.

Answer:

See explanation

Step-by-step explanation:

f(g(13))=

f(16)=32

**The diagram is the only reference to solving  f(g(13)). f(x) or g(x) isn't provided for you, so just use the diagram.

Answer:

15.81

Step-by-step explanation:

Answer:

the answer is C because all you need to do is just count how many there are

Step-by-step explanation:

Answer:

D. 5 units

Step-by-step explanation:

Using the pythagorean theorem:

\(a^2 + b^2 = c^2\\a = 3\\b=4\\3^2 + 4^2 = c^2\\9 + 16 = c^2\\25 = c^2\\c= 5\)

Here's a picture of what this looks like and a deeper explanation:

The amount of fuel required to drive 250 miles will be 25.14 liters.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that a car consumes 25.00 liters of fuel when driving a distance of 400.0 km. The amount of fuel required for 250 miles will be calculated as:-

1 km = 0.6213 miles

400 km = 400 x 0.6213 miles

400 km = 248.52 miles

248.52 miles = 25 litres

1 mile = 25 / 248.52 litres

250 miles = ( 250 x 25 ) / 248.52 litres

250 miles = 25.14 litres

Therefore, the amount of fuel required to drive 250 miles will be 25.14 liters.

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To identify the vertical asymptotes, we have to factor the denominator. For horizontal asymptotes, we compare the degrees of the numerator and denominator.

For rational functions, there are vertical and horizontal asymptotes. To identify the vertical asymptotes, we first have to factor the denominator. After that, we should look for values that make the denominator zero. These values can be found by setting the denominator equal to zero and solving for x. The resulting x values would be the vertical asymptotes of the function.

The horizontal asymptote is the line that the function approaches as x goes towards infinity or negative infinity. For rational functions, the horizontal asymptote is found by comparing the degrees of the numerator and the denominator.

If the degree of the numerator is less than the degree of the denominator, the horizontal asymptote is y = 0. If the degree of the numerator is equal to the degree of the denominator, the horizontal asymptote is y = the ratio of the leading coefficients. If the degree of the numerator is greater than the degree of the denominator, there is no horizontal asymptote.

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Answer:

-17

Step-by-step explanation:

-1 + (-16) =

-1 - 16 =

- (1 + 16) = -17

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Answer:

D

Step-by-step explanation:

This is an illustration of Pythagoras' identity.

The square on the hypotenuse x of a right triangle is equal to the sum of the squares on the other 2 sides, that is

x² = 8² + 6² = 64 + 36 = 100 ( take the square root of both sides )

x = \(\sqrt{100}\) = 10 cm → D

Answer:

D. 10 cm

The answer is 10 cm. This can be found through the use of Pythagorean. Theorem because it is a right triangle and you are finding the hypotenuse.

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Answer:

A. X = -4

Step-by-step explanation:

\(-6x-24=3x+12\\-9x=36\\x=-4\)

Answer:

Ok, we know that the driving accuracy is of 71%.

Then the first step is to get a spinner that is enumerated from 1 to 100 (in such way that each number is equispaced)

Now, we can mark a section between numbers 1 and 71. (this regio represents the cases where the shot lands in the fairway) and the unmarked region represents the cases where the shot does not land in the fairway.

Now, for each shot, we can spin our spinner next to a fixed pencil, depending on the section of the spinner that is marked by the pencil when the spinner fully stops, we can guess if the shot landed or not in the fairway.

In this way the shot has the region from 1 to 71 (71%) to land in the fairway

and the region from 72 to 100 to not land in the fairway.

If you want to simulate Sorenstam’s performance in a round of golf where she attempts 15 drives, you need to spin the spinner 15 times, and record the oucomes.

To calculate the line integral of the vector field F = (2x)i - (4y)j + (2z - 3)k along the curve C from (1, 1, 1) to (4, 5, -4), we can use the fundamental theorem of line integrals.

First, let's parameterize the curve C. We can choose a parameter t such that x = 1 + 3t, y = 1 + 4t, and z = 1 - 5t. The parameter t varies from 0 to 1 as we traverse the curve C. Next, we calculate the derivative of the parameterization: dr = (3i + 4j - 5k)dt. Now, we can evaluate the line integral: ∫(F · dr) = ∫[(2x)i - (4y)j + (2z - 3)k] · (3i + 4j - 5k)dt.  Expanding the dot product: = ∫(6x + 8y - 10z + 15)dt.  Substituting the  parameterization: = ∫[6(1 + 3t) + 8(1 + 4t) - 10(1 - 5t) + 15]dt. Simplifying: = ∫(34t + 41)dt. Integrating with respect to t: = 17t^2 + 41t + C. Evaluating the integral limits: = [17(1) + 41(1) + C] - [17(0) + 41(0) + C] = 58

Therefore, the line integral of F · dr along C is exactly 58.

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Answer:

B

Step-by-step explanation:

There is two wholes and one half.

Answer:

Step-by-step explanation:

1. (3/4)^2 = 3/4 * 3/4

2. numerator * numerator so 3 * 3 = 9

3. denominator * denominator so 4 * 4 = 16

Hence, the answer is 9/16

Step-by-step explanation:

(3/4)² = 3²/4² = 9/16

(a×b×c×d×...×z)² = a²×b²×c²×d²×...×z²

9514 1404 393

Answer:

  114°

Step-by-step explanation:

Angles LOM and MON are a linear pair, so are supplementary.

  x + 66 = 180

  x = 180 -66 = 114

The measure of ∠x is 114°.

Answer:

The solution to the recurrence relation is given by an = 2^(n+1) - 1.

Step-by-step explanation:

(a) To solve the recurrence relation an = an-2 + 4, with initial conditions a1 = 3 and a2 = 5, we'll consider two cases: one for when n is even and one for when n is odd.

For n even:

Substituting n = 2k (where k is a positive integer) into the recurrence relation, we get:

a2k = a2k-2 + 4

Now let's write out a few terms to observe the pattern:

a2 = a0 + 4

a4 = a2 + 4

a6 = a4 + 4

...

We notice that a2k = a0 + 4k for even values of k.

Using the initial condition a2 = 5, we can find a0:

a2 = a0 + 4(1)

5 = a0 + 4

a0 = 1

Therefore, for even values of n, the solution is given by an = 1 + 4k.

For n odd:

Substituting n = 2k + 1 (where k is a non-negative integer) into the recurrence relation, we get:

a2k+1 = a2k-1 + 4

Again, let's write out a few terms to observe the pattern:

a3 = a1 + 4

a5 = a3 + 4

a7 = a5 + 4

...

We see that a2k+1 = a1 + 4k for odd values of k.

Using the initial condition a1 = 3, we find:

a3 = a1 + 4(1)

a3 = 3 + 4

a3 = 7

Therefore, for odd values of n, the solution is given by an = 3 + 4k.

(b) To solve the recurrence relation an = 2an-1 + 1, with initial condition a1 = 1, we'll find a general expression for an.

Let's write out a few terms to observe the pattern:

a2 = 2a1 + 1

a3 = 2a2 + 1

a4 = 2a3 + 1

...

We can see that each term is one more than twice the previous term.

By substituting repeatedly, we can express an in terms of a1:

an = 2(2(2(...2(a1) + 1)...)) + 1

= 2^n * a1 + (2^n - 1)

Using the initial condition a1 = 1, we have:

an = 2^n * 1 + (2^n - 1)

= 2^n + 2^n - 1

= 2 * 2^n - 1

Therefore, the solution to the recurrence relation is given by an = 2^(n+1) - 1.

It represents the level of output at which planned spending (I + C + G) equals total income.

The IS curve is the intersection of the investment and saving curve. The investment curve is a downward sloping curve, while the saving curve is upward sloping. It can be obtained by equating total income with total output and deriving the relationship between interest rates and GDP.

It represents the combinations of interest rates and output where the market for goods and services is in equilibrium. The equation for the IS curve can be given as:Y = C(Y-T) + I(r) + G

Where, C(Y-T) is consumption I(r) is investment Y is output G is government spending T is taxes r is the interest rateGiven,C0 = 300T = 400G = 400I0 = 300c1 = 0.4b = 1

We can calculate the IS curve as follows: Y = C(Y-T) + I(r) + G

⇒ Y = C0 + c1 (Y-T) + I0 + bY - br + G

⇒ Y - c1Y + br = C0 - c1T + I0 + G

⇒ (1-c1) Y = C0 - c1T + I0 + G - br

⇒ Y = 1/(1-c1) * (C0 - c1T + I0 + G - br)

Substituting the given values, we get, Y = 1/(1-0.4) * (300 - 0.4*400 + 300 + 400 - 1r)

⇒ Y = 1/0.6 * (600 - r)

⇒ Y = 1000 - 1.67r

Therefore, the IS curve equation is given by Y = 1000 - 1.67r. It shows the combinations of interest rates and output levels at which the goods market is in equilibrium.

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