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Romashka [77]
3 years ago
9

Solve the equation for Y. 4x-5y=9

Mathematics
1 answer:
Lesechka [4]3 years ago
5 0
This is asking you to rewrite the equation so that Y is alone on one side.

First, move the 4x to the other side:
4x - 5y - 4x = 9 - 4x -->
-5y = 9 - 4x

Divide both sides by -5 to get the Y alone:
-5y/-5 = (9-4x)/(-5) --> 
y = (9-4x)/(-5)

You could stop there, but some people like to make the right side look a little simpler. dividing by a negative number looks a little messy, so we rewrite the equation in a few steps. All the below are all the same thing, just written in a different way.
y = -(9-4x) / 5 -->
y = (-9+4x) / 5 -->
y = (4x - 9) / 5

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Factor completely 6x^2 -4x
Liono4ka [1.6K]

Answer:

2x(3x−2)

Step-by-step explanation:

Factor 6x^{2} − 4x

6x^{2} − 4x

=2x(3x−2)

Hope this helps!

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4 years ago
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Question 1 (10 points). (a) Explain the difference between linear and logistic regression. (Explain at least two differences and
cricket20 [7]

Answer:

(a) <em>Linear regression</em> is used to estimate dependent variable which is continuous by using a independent variable set. <em>Logistic regression</em> we predict the dependent variable which is categorical using a set of independent variables.

(b) Finding the relationship between the Number of doors in the house vs the number of openings. Suppose that the number of door is a dependent variable X and the number of openings is an independent variable Y.

Step-by-step explanation:

(a) Linear regression is used to estimate dependent variable which is continuous by using a independent variable set .whereas In the logistic regression we predict the dependent variable which is categorical using a set of independent variables. Linear regression is regression problem solving method while logistic regression is having use for solving the classification problem.

(b) Example: Finding the relationship between the Number of doors in the house vs the number of openings. Suppose that the number of door is a dependent variable X and the number of openings is an independent variable Y.

If I am to predict that increasing or reducing the X will have an effect on the input variable X or by how much we will make a regression to find the variance that define the relationship or strong relationship status between them. I will run the regression on any computing software and check the stats result to measure the relationship and plots.

3 0
3 years ago
Please help
Zolol [24]

Given:

The function is

r(x)=0.05(x^2+1)(x-6)

where, function r gives the instantaneous growth rate of a fruit fly population x days after the start of an experiment.

To find:

Number of complex and real zeros.

Time intervals for which the population increased and population deceased.

Solution:

We have,

r(x)=0.05(x^2+1)(x-6)

r(x)=0.05(x^3+x-6x^2-6)

Here, degree of function x is 3. It means, the given function has 3 zeros.

From the given graph it is clear that, the graph of function r(x) intersect x-axis at once.

So, the given function r(x) has only one real root and other two real roots are complex.

Therefore, function r has 2 complex zeros and one real zero.

Before x=6, the graph of r(x) is below the x-axis and after that the graph of r(x) is above the x-axis.

Negative values of r(x) represents the decrease in population and positive value of r(x) represents the increase in population.

Therefore, based on instantaneous growth rate, the population decreased between 0 and 6 hours and the population increased after 6 hours.

3 0
3 years ago
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