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2 years ago

if the output and input of a linear equation are proportional, whare will the graph of the equation cross the x axis

Mathematics

1 answer:

sineoko [7]2 years ago

5 0

Answer:

at x=0 (the origin)

Step-by-step explanation:

The equation for a proportional relationship is ...

y = kx

The equation of a straight line is ...

y = kx +b . . . . . for some y-intercept b

<h3>Comparison to general line</h3>

Comparing the proportional relation to the relation for a general line, we see that b=0 in the proportional relation. That is, the y-intercept is at y=0, the origin of the Cartesian coordinate plane.

The graph crosses the x-axis at (0, 0), or x=0.

Additional comment

In y=kx, the value k is called "the constant of proportionality." It is also the slope of the line on a graph.

In the usual representation of the slope-intercept equation of a line, y=mx+b, the slope of the line is represented by 'm'. In the above, we used 'k' for that purpose, to facilitate comparing the equations.

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Find the horizontal asymptote. y = 2x X - 3 y = [?] Enter

melomori [17]

The horizontal asymptote is Y=2

3 0

3 years ago

A+b+c+d=770 a+b=c+d a-b=49 c-d=211 Find numbers.

allochka39001 [22]

A+b = c+d
a+b = 770/2 ( a+b+c+d = 770)
a+b = 385
c+d = 385

a+b+a-b = 385+49
2a = 434
a = 434/2
a = 217
a-b=49
217-49= b
b = 168

c+d+c-d = 385+211
2c = 596
c = 596/2
c = 298

c-d = 211
c-211= d
298-211 = d
d = 87

Therefore, a=217, b=168, c=298, d=87

6 0

3 years ago

PLEASE HELPPPP

Studentka2010 [4]

Answer:

1774.67π mm³

Step-by-step explanation:

Please find attached to this question, the required diagram.

From the question, we are told we have a spherical mold.

We would find the volume of a spherical mold using the formula for the volume of a sphere.

The volume of a sphere is calculated as : 4/3πr³

From the attached diagram, we are given the Diameter do the spherical mold as: 22mm

Radius of the spherical mold = Diameter ÷ 2 = 22mm÷ 2 = 11mm

The volume of the spherical mold = 4/3 × π × 11³

= 1774.6666667π mm³

Approximately and leaving it in terms of pi (π)= 1774.67π mm³

5 0

4 years ago

In a large population, 60% of the people have been vaccinated. If 4 people are randomly selected, what is the probability that A

gulaghasi [49]

Answer:

0.9744 probability that AT LEAST ONE of them has been vaccinated

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they have been vaccinated, or they have not. The probability of a person having been vaccinated is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

60% of the people have been vaccinated.

This means that $p = 0.6$

If 4 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated?

This is

$P(X \geq 1)$ when $n = 4$ .

We have that

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{4,0}.(0.6)^{0}.(0.4)^{4} = 0.0256$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0256 = 0.9744$

0.9744 probability that AT LEAST ONE of them has been vaccinated

5 0

3 years ago

Adam and his dad share the cost of the meal in the ratio of 2:3.

gladu [14]

If the 2nd person pays £52.20, then £52.20 = 3 (from the ratio).
52.20 / 3 = 17.40. 17.40 X 2 (from the ratio) = 34.80.
52.20 + 34.80 = 87.

The meal cost £87.00

8 0

3 years ago