Find the equation of the straight line which makes a negative intercept of 4 units on the x - axis and passes through the point (2‚ 3).​

The equation which represent the relationship between x and y is x = 3y.

Given that:-

x 18 12 21 27

y 6 4 7 9

We can see that,

When x = 18, y = 6

Hence, 18 = 3*6

Hence,

x = 3y

Similarly,

When x = 12, y = 4

Hence, 12 = 3*4

Hence,

x = 3y

When x = 21, y = 7

Hence, 21 = 3*7

Hence,

x = 3y

When x = 27, y = 9

Hence, 27 = 3*9

Hence,

x = 3y

Hence, by observing all the data given in the question, we can say that,

x = 3y

To learn more about equation, here:-

https://brainly.com/question/10413253

#SPJ1

Answer:

5.2 or 5.2O

Step-by-step explanation:

add 2.6m + 2.60 which means add 2.60 + 2.60

2.60

+2.60

______

5.2 (the zero is optional)

on solving the provided question we can say that for parallel combination, the equation will be  1/R = 1/R1 + 1/R2.

A mathematical equation is a formula that links two assertions and signifies equivalence with the equals sign (=). In algebra, a mathematical statement that proves the equality of two mathematical expressions is referred to as an equation. The equal sign, for instance, separates the variables 3x + 5 and 14 in the equation 3x + 5 = 14. There is a mathematical formula that explains the link between the two phrases that appear on either side of a letter. Frequently, the symbol and the single variable are the same. like in 2x - 4 = 2, for example.

we have,

Total Resistance (R) = 1.403 kilo-ohm.

R1 = 2.0 Kilo-ohm.

1.403 kilo-ohm = 1403 ohm.

for parallel combination, the equation will be

1/R = 1/R1 + 1/R2

\(1/1403 = 1/2000 + 1/ R2\\.1/1043 - 1/2000 = R2\\2000 - 1403 / 1403 x 2000 = 1/R2\\597/ 1403 x 2000 = 1/R2\\R2 = 1403 x 2000 / 597 = 2806000 / 597 = 4700.16\\R2 = 4700.16 ohm\)

103 ohm = 1 kilo-ohm =>  4700 ohm = 4.7 kilo-ohm

so, R2 = 4.7 kilo-ohm.

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

\(a(1) = 240 \\ a(2) = a(1) + d = 240 + 24 = 264 \\ a(3) = a(2) + d = 264 + 24 = 288 \\ a(4) = a(3) + d = 288 + 24 = 312 \\ a(5) = a(4) + d = 312 + 24 = 336 \\ a(6) = a(5) + d = 336 + 24 = 360\)

Answer:

Integers are whole numbers such as 1, 2, 3 , 4, 5

1) 51 —> will classify as a integer because it’s a whole number

2) 3/4 —> would not classify as an integer because it’s a fraction not a whole number

3) 59 —> will classify as a integer because it’s a whole number

4) 0.96 —> would not classify as an integer because it’s a decimal not a whole number

5) -9/1 —> would not classify as an integer because it’s a fraction not a whole number

Answer:

Thank you for posting your question here at brainly. Feel free to ask more questions.  

The best and most correct answer among the choices provided by the question is 0 (zero).          

Hope my answer would be a great help for you.  3 to all sorry i can't help you all i try my best tho my goal is to get to 4 brainlyest may 8 if i'm lucky god bless you all stay safe during these tuff times

Answer:

impossible event

people cant live without water

getting both a head and a tail when flipping a coin

obtaining seven on a throw of a die

certain event

it is 2pm now and will be 4pm after two hours

if you are sixteen,the likelihood of your turning seventeen on you next birthday

if it is thursday the probability that tommorow is friday An event that is certain is something that will definitely happen, such as the sun will rise tomorrow, or when rolling a six sided die, it will land on 1 - 6.

Something impossible, includes events that will never happen, such as pig will fly, or when rolling a six sided die, it will land on 7.

2. The experimental probability may be different to the theoretical probability as theoretical probability is only theory, and when trying something out in real life, there is a high chance that it will be different.

Step-by-step explanation:

There is question in my book: Probability of impossible event is?

After reading the question my instant answer was 0 and that was the answer given.

But then i thought other way, question is probability of impossible event, so there are two outcomes possible or impossible (event can be certain or impossible).

Therefore probability of impossible outcome is 12.

Can that also be answer?

If this doesn't help Get Tutor Immediately!

The required rate of return (or minimum acceptable rate of return) is 20 percent. If the net cash flows are $15,000 per year for ten years, the total cash flow is $150,000. The project's cost is $47,500. We can now apply the net present value formula to determine whether or not the project is feasible.

Net Present Value (NPV) = Cash flow / (1 + r)^n - Cost Where, r is the discount rate, n is the number of years, and Cost is the initial outlay.

Net Present Value = 150000 / (1 + 0.20)^10 - 47500

Net Present Value = $67,482.22

Since the NPV is positive, the project is feasible. When calculating net present value, it's important to remember that a positive NPV implies that the project is expected to generate a return that exceeds the cost of capital, whereas a negative NPV indicates that the project is expected to generate a return that is less than the cost of capital, and as a result, it should be avoided.

Know more about NPV here:

https://brainly.com/question/32720837

#SPJ11

Answer:

C

Step-by-step explanation:

Using the tangent ratio in the right triangle

tanθ = \(\frac{opposite}{adjacent}\) = \(\frac{x}{3}\) , then

θ = arctan \(\frac{x}{3}\) → C

The required inverse function would be θ = arctan x/3. The correct answer would be an option (C).

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

The right triangle is given in the question, as shown.

Using the tangent ratio, we have:

tan θ = perpendicular/base

Here, perpendicular = x and base = 3

As per the figure, substitute the values in the above ratio:

tan θ = x/3

Using an inverse function to write θ as a function of x:

θ = tan⁻¹ x/3

This can be also written as:

θ = arctan x/3

Therefore, the required inverse function would be θ = arctan x/3.

Learn more about the right triangle here:

https://brainly.com/question/11899922

#SPJ2

Answer:

d

Step-by-step explanation:

\(\frac{2x+3}{3}\)

-3 + x - \(\frac{1}{3}\)x + 4

-3 + x + \(\frac{-x}{3}\) + 4

-3 + x + \(\frac{-x}{3}\) + 4

1 + x + \(\frac{-x}{3}\)

1 + x + \(\frac{-x}{3}\)

\(\frac{3}{3}\) + \(\frac{3x}{3}\) + \(\frac{-x}{3}\)

\(\frac{3}{3}\) + \(\frac{3x}{3}\) +\(\frac{-x}{3}\)

\(\frac{3 + 3x - x}{3}\)

\(\frac{3 + 3x - x}{3}\)

\(\frac{3 + 2x}{3}\)

\(\frac{3 + 2x}{3}\)

\(\frac{2x+3}{3}\)

\(\frac{2x+3}{3}\)

I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!

The acid test ratio of the company is 2.19 .

Given,

Company's creditors,  stock, debtors, overdraft , cash  expenses .

So,

Current assets = Stock + Debtors + Cash

Current assets = $5,450 + 10,620 + 3,400 = $19,470

Current liabilities = Creditors + Overdraft

Current liabilities = $4,300 + 2,100 = $6,400

Current ratio = Current assets / Current liabilities

Current ratio = $19,470 / $6,400 = 3.04

Acid test ratio = Current assets - Stock / Current liabilities

Acid test ratio = $19,470 - 5,450 / $6,400

Acid test ratio = $14,020 / $6,400 = 2.19

Hence option B is correct.

Know more about acid test ratio,

https://brainly.com/question/32809435

#SPJ4

Table of the question:

Answer:

Step-by-step explanation:

The perimeter of Wendy's math certificate is 7 inches + 7 inches + 9 inches + 9 inches = 32 inches.

So, the cost to frame Wendy's math certificate would be $2.00 per inch * 32 inches = $64.00.

Answer:

Like real numbers, the arithmetic operations, such as addition, subtraction, multiplication, and division are applicable to the rational numbers.

The logarithmic form of the exponential equation 8e^x-5 = 0 is given as follows:

x = ln(5/8).

The exponential function in this problem is defined as follows:

8e^x-5 = 0.

The equation can be sorted isolating the exponential as follows:

8e^x = 5.

e^x = 5/8.

The natural logarithm(symbolized by the ln) is the opposite of the exponential function, hence the logarithmic form of the equation is presented as follows:

ln(e^x) = ln(5/8).

As stated above, the natural logarithm and the exponential functions are inverse functions, meaning that:

ln(e^x) = x.

Thus the logarithmic form of the exponential equation 8e^x-5 = 0 is given as follows:

x = ln(5/8).

More can be learned about exponential functions and logarithms at https://brainly.com/question/25537936

#SPJ1

Question:

Which description could be written as a linear function?

Answer:

Option a)

Explanation:

Let 2 numbers be x1 and x2.

For the first option:

Eight more than twice a number.

The graph would be y = 8 + 2x1 which is a linear function.

For the second option:

Three more than the product of two numbers.

The graph would be y = 3 + x1x2 which is a graph function.

For the third option:

Ten more than the square of a number.

The graph would be y = 9 + (x1)² which is a graph function.

For the fourth option:

Nine more than one divided by a number.

The graph would be y = 9 + 1/x1 which is a double-parabole function.

Hopefully this answer will help you.

Answer: option a

Step-by-step explanation:

Just took the test

If a bloodstain is 1.5cm wide and 30cm long, then the angle of impact is 30°.

In forensic science, the angle of impact is the angle at which a blood droplet strikes a surface. It has a range of 0 to 90 degrees and is, by definition, an acute (or right) angle.

Police can partially reconstruct a crime scene by connecting the "strings" that lead from the spatter to an origin area and knowing the angle of contact.

If a bloodstain has a tail or pattern, the angle of impact can be used to forecast how the subsequent bloodstain would look.

So, bloodstain pattern analysis examines the patterns of bloodstains found at crime scenes in an effort to piece together the sequence of events that led to the bloodshed.

Mathematically, we will have:

The angle of impact = sin⁻¹ (wide stain/length stain)

The angle of impact = sin⁻¹ (1.5/3.0)

The angle of impact = 30°

Therefore, if a bloodstain is 1.5cm wide and 30cm long, then the angle of impact is 30°.

Know more about the angle of impact here:

https://brainly.com/question/12262372

#SPJ4

The given general solution is y = c1 cos(x) + c2 sin(x) + c3 cos(4x) + c4 sin(4x).This solution can be represented in matrix form as Y = C1[1 0]T cos(x) + C2[0 1]T sin(x) + C3[1 0]T cos(4x) + C4[0 1]T sin(4x),where Y = [y y']T, C1, C2, C3, and C4 are arbitrary constants, and [1 0]T and [0 1]T are column matrices.

The matrix form can also be written as a differential equation. This differential equation is homogeneous linear and has constant coefficients. Let's see how to do that:Y = C1[1 0]T cos(x) + C2[0 1]T sin(x) + C3[1 0]T cos(4x) + C4[0 1]T sin(4x)Y' = -C1[0 1]T sin(x) + C2[1 0]T cos(x) - 4C3[0 1]T sin(4x) + 4C4[1 0]T cos(4x)Y" = -C1[1 0]T cos(x) - C2[0 1]T sin(x) - 16C3[1 0]T cos(4x) - 16C4[0 1]T sin(4x).

The matrix form of the differential equation isY" + Y = [0 0]TWe now have a homogeneous linear differential equation with constant coefficients whose general solution is given by y = c1 cos(x) + c2 sin(x) + c3 cos(4x) + c4 sin(4x), where c1, c2, c3, and c4 are arbitrary constants.

To know more about matrix visit :

brainly.com/question/29132693

#SPJ11

Answer:

The independent variable is the variable that is manipulated or changed during an experiment. In this case, the independent variable is represented by the x-values of the given points.

So, the answer would be option A: {-2, 3, 1, 5}

Step-by-step explanation:

brainliest Plsssss

The best estimate for the weight of a cantaloupe is 2 kilograms (B).

A decigram is 1/10th of a gram, which would be too small of weight for a cantaloupe. 2 grams (C) is also too small for a cantaloupe as it would only be the weight of a few small seeds. 2 milligrams (D) is an extremely small weight, only suitable for a single grain of salt or a tiny insect.

Therefore, 2 kilograms (B) is the most reasonable estimate for the weight of a cantaloupe as it falls within the typical range of cantaloupe weights.

Learn more about Cantaloupe:

https://brainly.com/question/27861329
#SPJ4

Complete Question:

Choose the best estimate for the weight of a cantaloupe. Responses

A 2 decigrams

B 2 kilograms

C 2 grams

D 2 milligrams

0.0.0.0 is used in setting static routes as a default route. This means that any traffic that does not match a specific route in the routing table will be directed to the next hop specified in the 0.0.0.0 route.

In other words, it is the catch-all route. This is commonly used in situations where there is only one gateway or exit point from a network. By setting the default route to the gateway, all traffic that is destined for a location outside of the local network will be sent to the gateway for further processing.
In the context of setting static routes, using the IP address 0.0.0.0 represents the default route, also known as the gateway of last resort. A static route is a manually configured network route that defines a specific path for data packets to follow. The 0.0.0.0 address is used to define a catch-all route for any packets whose destination doesn't match any other specific routes in the routing table. This ensures that the network can still attempt to route the packets even if the destination isn't explicitly defined.

Visit here to learn more about default route brainly.com/question/29360942

#SPJ11

Answer:

26 units

Step-by-step explanation:

(-8, -10) and (18, -10)

Since the y values are the same, we only need to worry about the x values

18 - -8

18+8

26

The distance is 26 units

Answer:

8

Step-by-step explanation:

Answer:

-11 F

Step-by-step explanation:

So we need to just add or decrease the temperature.

-5 + 14

9 - 20

-11

Answer:

-5 + 14 = 9

9 - 20 = -11

the answer is -11°f

Answer:

Step 1: Divide both sides by 2

Step 2: Subtract both sides by 3

Step-by-step explanation:

Step 1: 2(x + 3) = 14

Step 2: x + 3 = 7

x = 4

Answer:

axis of symmetry: x=-1

vertex: (-1, 9)

y-intercept: y=8

x-intercepts: x=-4, x=2

Step-by-step explanation:

We can conclude that gcd(a, b) divides 15 if and only if there exist integers s and t such that as + bt = 15.

If there are integers s and t such that as + bt = 15, then we can conclude that gcd(a, b) divides 15. This is known as Bézout's identity, which states that for any two integers a and b, there exist integers s and t such that as + bt = gcd(a, b).

To see why this is true, consider the set of all linear combinations of a and b, that is, the set {ax + by : x, y are integers}. This set contains all multiples of gcd(a, b) since gcd(a, b) divides both a and b.

Therefore, gcd(a, b) is the smallest positive integer that can be expressed as a linear combination of a and b.

Now, if as + bt = 15, then 15 is a linear combination of a and b, which means that gcd(a, b) divides 15.

Conversely, if gcd(a, b) divides 15, then we can find integers s and t such that as + bt = gcd(a, b), and we can scale this equation to obtain as' + bt' = 15, where s' = (15/gcd(a, b))s and t' = (15/gcd(a, b))t.

Therefore, we can conclude that gcd(a, b) divides 15 if and only if there exist integers s and t such that as + bt = 15.

Click the below link, to learn more about gcd:

https://brainly.com/question/2292401

#SPJ11