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3 years ago

A proportional relationship is formed when y=1 and x=-4 what is the value of x when y=4

Mathematics

1 answer:

ICE Princess25 [194]3 years ago

5 0

Answer:

x = - 16

Step-by-step explanation:

The equation relating two proportional quantities is

y = kx ← k is the constant of proportionality

To find k use the condition when y = 1, x = - 4

k = $\frac{y}{x}$ = - $\frac{1}{4}$

y = - $\frac{1}{4}$ x ← equation of proportionality

when y = 4, then

4 = - $\frac{1}{4}$ x (multiply both sides by - 4 )

x = - 16

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-Dominant- [34]

1. b 2. a 3. a

100% correct edge 2021

Step-by-step explanation:

7 0

2 years ago

Find the equation of a line that is perpendicular to 4x+6y=1 that has a greater y intercept compared to 2x+3y=18

Marina86 [1]

Answer:

4y = 6x + 40

Step-by-step explanation:

The general equation of a straight line is y = mx + b

m is the slope and b is the y-intercept

let us write both equations in this form;

we have this as;

6y = -4x + 1

y = -4x/6 + 1/6

and;

2x + 3y = 18

3y = -2x + 18

y = -2x/3 + 6

So firstly we want to find an equation that is perpendicular to the first

When two lines are perpendicular, their slopes has a product of -1

The slope of the first line is -4/6

let the slope of the line we want be m

As per they are perpendicular;

-4/6 * m = -1

-4m/6 = -1

-4m = -6

m = 6/4

So now, we want the y-intercept greater than that of the second equation which is a y-intercept of 6

we can choose 10

and we have the equation as:

y = 6x/4 + 10

multiply through by 4

4y = 6x + 40

7 0

3 years ago

Anyone willing to help? Surprise included

AveGali [126]

Answer:

An arithmetic sequence has a constant difference between each term.

For example: 2,4,6,8,10,12,…

We can see clearly that all the terms differ by +2.

We call this the common difference, d.

A geometric sequence has a constant ratio (multiplier) between each term.

An example is: 2,4,8,16,32,…

So to find the next term in the sequence we would multiply the previous term by 2.

This is called the common ratio, r.

These sequences are closely related as they both have the same first term, but I hope you can see how different they become if they have a common difference or a common ratio.

We can create a decreasing arithmetic sequence by choosing a negative common difference.

Similarly, a decreasing geometric sequence would have a common ratio of less than 1.

Step-by-step explanation:

4 0

3 years ago

match each binomial expression with the set of coefficient of the term obtain by expanding the expression

mars1129 [50]

$(2x+y)^3$ = $8x^3+12x^2y+6xy^2+y^3$

The coefficients are 8 , 12, 6, 1

$(2x+3y)^4$ = $16x^4+96x^3y+216x^2y^2+216xy^3+81y^4$

The coefficients are 16, 96, 216, 216, 81

$(3x+2y)^3$ = $27x^3+54x^2y+36xy^2+8y^3$

The coefficients are 27, 54,36 , 8

$(x+y)^4$ = x^4+4x^3y+6x^2y^2+4xy^3+y^4

The coefficients are 1, 4, 6, 4, 1

8 0

3 years ago

Read 2 more answers

The Dean of the Business School at State University would like to test the hypothesis that no difference exists between the aver

kolbaska11 [484]

Answer:

Paired samples t- test is appropriate for Dean's hypothesis

Step-by-step explanation:

Given Data :

Student 1 2 3 4 5 6 7 8

Marketing 82 86 74 93 90 76 87 100

Finance 76 91 70 79 96 70 85 81

We are supposed to find the test which is appropriate for Dean's hypothesis

We are given the grades of two different subjects for same student

We perform the paired t test because the final grades for the Marketing and Finance is taken for the same student.

So, Option B is correct

Hence Paired samples t- test is appropriate for Dean's hypothesis

8 0

3 years ago