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1 year ago

Which is an equation of the line with a slope of 2/3 passing through the point (4,-1)?

Mathematics

1 answer:

Bond [772]1 year ago

3 0

Answer:

y=2/3x-11/3

Step-by-step explanation:

to find the y intercept, you can input your values into the equation:

b=y1−m⋅x1

When you do that, you get:

b=−1−(2/3)⋅(4)=−11/3

When you convert that equation into y=mx+b form, you get:

y=2/3x-11/3

Please mark Brainliest ;)

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Suppose that six individuals are interested in taking part in a study relating BMI to a number of health outcomes. The following

posledela

Answer:

a) Mean = 27.65

Median = 27.645

b) Relative Frequency = 33.33%

Step-by-step explanation:

We are given the following data set:

25.78, 21.06, 36.54, 29.51, 18.96, 34.05

a) Mean and Median

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{165.9}{6} = 27.65$

$Median:\\\text{If n is odd, then}\\\\Median = \displaystyle\frac{n+1}{2}th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle\frac{\frac{n}{2}th~term + (\frac{n}{2}+1)th~term}{2}$

Sorted data: 18.96, 21.06, 25.78, 29.51, 34.05, 36.54

$\text{Median} = \displaystyle\frac{25.78 +29.51}{2} = 27.645$

b) BMI above 30 is considered obese

Frequency of obese in the given sample = 2

Relative Frequency =

$\displaystyle\frac{\text{Frequency of obese}}{\text{Total number}} = \frac{2}{6} = 0.3333 = 33.33\%$

5 0

2 years ago

Simplyfi. (9g^10p^8)^2 im confused pls help

andreev551 [17]

So the right answer is 9g^20p^16

look at the attached picture

Hope it will help you

Good luck on your assignment

5 0

3 years ago

Read 2 more answers

Kevin works for a company which produces printers. A printer sells for $163.95 and costs $48.28 to produce. In one month, Kevin’

victus00 [196]

Answer:

Option D $26,792

Step-by-step explanation:

When producing 427 printers, the cost of production is 427*$48.28=$20,615.56

When selling each printer, profit per printer is $163.95 - $48.28= $115.67

Total money after selling the 427 printers is 427*$163.95 =$70006.65

Subtracting cost of production from value of sales we deduce

$70006.65-$20,615.56=$49391.09

Non-profit overhead expenses will be the difference between the expected profit and the actual profit earned

$49391.09 -$22,599.09.=$26,792

Therefore, option D, $26,792 is the right choice

3 0

2 years ago

What is 5/20 simplified ?

andre [41]

5/20 simplified is 1/10

it's simple math

5 0

2 years ago

Read 2 more answers

ANSWER ALL 5 PARTS.

N76 [4]

A function $f$ from a set A to a set B is defined as a relation that assings to each element $x$ in the set A exactly one element $y$ in the set B. The set A is called the domain of the function while the set B is the range. So we have five statements and need to find some functions. Melissa decides to reserve a patch in her vegetable garden for growing bell peppers. If each side of the tomato patch is $x$ feet, then we have a square patch as shown in the Figure below.

1.a) Write the function Wa(x) representing the width of the bell pepper patch.

We know that she wants its width to be half the width of the tomato patch. Let $x$ be the width of the tomato patch, then the function that matches this statement is:

$\boxed{Wa(x)=\frac{x}{2}}$

1.b) Write the function La(x) representing the length of the bell pepper patch.

In this case Melissa wants its length to exceed the length of the tomato patch by 2 feet. To do this we enlarge the length of the tomato patch 2 feet. Therefore the function is the following:

 $\boxed{La(x)=x+2}$

2. Area of the bell pepper patch in terms of x.

Given that the bell pepper patch is a rectangle, then the area of a rectangle is the product of the length and width. So:

 $A=(\frac{x}{2})(x+2) \\ \\ \therefore \boxed{A=\frac{x(x+2)}{2}}$

3. Combined area of the tomato patch and the bell pepper patch.

This function is the sum of both the area of the tomato patch and the bell pepper patch. So:

 $Aar(x)=x^{2}+\frac{x(x+2)}{2} \rightarrow Aar(x)=x^{2}+ \frac{x^{2}}{2}+x \rightarrow Aar(x)=\frac{3x^{2}}{2}+x \\ \\ \therefore \boxed{Aar(x)=\frac{x(3x+2)}{2}}$

4. Write the function Aa(x) for the remaining planting area in the garden.

The remaining planting area in the garden are the rectangles in red. So we need to subtract the width of the bell pepper patch from the width of the tomato patch and multiply it by 2. In mathematical language this is given by:

 $Aa(x)=2(x-\frac{x}{2}) \rightarrow Aa(x)=x$

5. Find the area of the remaining space in the garden after planting tomatoes and bell peppers.

Given that Melissa wants the area of the bell pepper patch to be 31.5 square feet, then it is true that:

 $31.5=\frac{x(x+2)}{2} \rightarrow x^{2}+2x-64=0 \\ \\ solving \ for \ x: \\ x=7.06$

Therefore the area of the remaining space is:

 $\boxed{Aa(7.06)=7.06ft^{2}}$

6 0

3 years ago