Domain and Range of a linear function
Domain and Range of a linear function - 1

Answers

Answer 1
Answer:

Answer:

domain is the lenght of the road (in miles)

range is the number of days

Step-by-step explanation:

domain is the input because there building the road that is the input because the number of days is the output (range) because that is what happens from working on the roads (the input) what come out is the days they worked on the road


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Suppose a varies directly as b, and a=7 when b=2 find b when a =21

Answers

because α varies directley to β
\alpha = k \beta
(k = constant)

α=7 when β=2
7= 2k
k= (7)/(2)

so when α=21
21= (7)/(2) b
b= 6

Final answer:

To solve for 'b' when 'a' = 21 in a direct variation relationship where 'a' = 7 when 'b' = 2, first determine the constant of proportionality. Then, insert 'a' into the formula and solve for 'b'. The solution of 'b' would be 6.

Explanation:

In this scenario, we are given that a varies directly as b, which means we can state this relationship as a = kb, where k is a constant of proportionality. Initially, we're given that a = 7 when b = 2. From this, we can find that k = a / b, so k = 7 / 2 = 3.5. Therefore, our direct variation equation is a = 3.5b.

When a = 21, we can substitute this into the direct variation equation and solve for b. Thus, 21 = 3.5b, and by dividing both sides by 3.5, we can find that b = 6.

Learn more about Direct Variation here:

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In the formula a2 + b2 = c2, what is the value of a2?

Answers

a^2 + b^2 = c^2 Moving b^2 to RHS a^2 = c^2 - b^2
a^2+b^2=c^2\ \ \ \ |subtract\ b^2\ from\ both\ sides\n\na^2=c^2-b^2\n\n\boxed{a=√(c^2-b^2)}

What do you get when you cross a monastery with a lion

Answers

You get a roaring friar place!

Four different beverages are sold at a​ fast-food restaurant: soft​ drinks, tea,​ coffee, and bottled water. Explain why the type of beverage sold is an example of a categorical variable

Answers

Answer:  The values of the variable can only be placed into categories.

Step-by-step explanation:

Type list of beverage sold is a categorical variable because the values of the variable can only be placed into categories.

A categorical variable, also referred to as nominal variable. is a variable which consist of two or more categories, this usually does not involve special ordering of the categories.

For the graph shown, select the statement that best represents the given system of equations.Number graph ranging from negative five to five on the x axis and negative six to four on the y axis. A line with a negative slope is drawn on the graph.
6x + 4y = 2
3x + 2y = 1

A.
not enough information

B.
coincident

C.
consistent and independent

D.
inconsistent

Answers

Answer:

B. coincident

Step-by-step explanation:

An coincident system of equations means that it has infinite solutions, because one line is on the other one. This happens when their equation are the same, or their "parent" line is the same.

So, given equations are:

6x + 4y = 2 and 3x + 2y = 1

Observe that if we divide the first by 2, we have

(6x + 4y)/(2)=(2)/(2)\n(6x)/(2)+(4y)/(2)=1\n  3x+2y=1

As you can see, using the first equation, we found that it has the same "parent" equation than the second equation. In other words, they are basically the same. This means that they represent the same line, so, the system is coincident and they have infinite solutions.

After analyzing the data provided in this question one can conclude that they are coincident. For the first system equation we have: 6x + 4y = 2. If we divide everything by 2 we will get: 3x + 2y = 1. Coincident means the same line.


The answer is choice B). Coincident.

I hope it helps, Regards.

У= -2
4х – Зу = 18
Solve System Of Equations Using Substitutions

Answers

Answer:

x = 3

Step-by-step explanation:

4x - 3(-2) = 18

4x + 6 = 18

4x = 12

4x/4 = 12/4

x = 3

We're solving for x right?