Create a dot plot of the data shown below.

1 answer:

5 0

Mean and median both try to measure the central tendency in a data set. The mean is commonly used but sometimes the median is preferred.

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Juanita usually spends $3 more than twice her transportation costs on groceries. if x is the amount she spends on transportation

ruslelena [56]

<h3>Answer: It's a linear equation.</h3><h3>It's not a proportional relationship.</h3><h3>Juanita spend $63 on groceries if she spent $30 on transportation.</h3>

Step-by-step explanation: Given equation y=2x+3.

Where x is the amount she spends on transportation, and y is the amount she spends on groceries.

<em>We can see that given equation is in slope-intercept form y=mx+b.</em>

So, it's a linear equation and y=2x+3 is the relationship between x and y linear.

<em>Also, a linear linear equation represents a proportion relationship if y-intercept is 0.</em>

But for the given equation y=2x+3, y-intercept is 3.

Therefore, it's not a proportional relationship.

Now, in order to find how much would Juanita spend on groceries if she spent $30 on transportation, we need to plug x= 30 in given equation.

Therefore,

y = 2(30) +3 = 60+3 = 63.

<h3>So, Juanita spend $63 on groceries if she spent $30 on transportation.</h3>

7 0

3 years ago

The slope f '(x) at each point (x, y) on a curve. y = f (x) is given along with a particular point (a, b) on the curve. Use this

Advocard [28]

Answer:

Step-by-step explanation:

Integrating each term with respect to x, we get:

x^3 x^2

f(x) = 9--------- + 4------- - 4x + C

3 2

We are told that if x = 0, f(x) = -7, and so C must equal - 7.

The solution is

x^3 x^2

f(x) = 9--------- + 4------- - 4x - 7, or f(x) = 3x^3 + 2x^2 - 4x - 7

3 2

5 0

3 years ago

6 labour complete a work in 12 days. How many labours should added to complete the works in 8 days?

mario62 [17]

Answer:

9 labours

Step-by-step explanation:

In order to solve this, we must know which kind of proportionality is this. There are two types of proportions, direct and indirect/inverse proportions. In direct proportion, if one quantity increases, the other quantity also increases.

In indirect proportion, if one quantity increases, the other decreases and vice versa.

As per this question, we know if the number of labour increases, the number of days to complete a work decreases, thus proving that this is an indirect/inverse proportion.

6 labours => 12 days

x labours => 8 days

Since its an inverse proprotion, multiply 6 with 12, and x with 8.

8x = 6 × 12

x = $\frac{6*12}{8}$