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3 years ago

Is the relationship shown by the data linear? If so, model the data with an equation.

Mathematics

1 answer:

slega [8]3 years ago

4 0

Which ones are the x and which ones are the y

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Please help thanks so much

Goshia [24]

Answer:

y = (-4/3)*x + 7

Step-by-step explanation:

The point-slope form of the equation of a line is: y = a*x + b

In the above equation, a is the slope of the line representing the equation in the graph and y is the function of x [y = y(x)]

The given line has a slope of -4/3, so that a = -4/3

=> The equation of this line has a form as following: y = (-4/3)*x + b (1)

As the line passes through the point (9; -5) (in which: x = 9; y = -5). Replace x =9 and y = -5 into the equation (1), we have:

y = (-4/3)*x + b

=> -5 = (-4/3)*9 + b

=> -5 = -12 + b

=> b = 7

So that the equation in point-slope form of the given line is:

y = (-4/3)*x + 7

6 0

3 years ago

Write out the sample space for the given experiment. Use the following letters to indicate each choice: M for mushrooms, O for o

pshichka [43]

Answer: {(MBV), (MBH) , (MEV) , (MEH) , (OBV), (OBH) , (OEV) , (OEH)}

Step-by-step explanation:

Sample space is a set that contains all the possible outcomes for an event.

For salad:

Choices for extra toppings (mushrooms, olives) =2

Choices for meats (bacon, eggs) =2

Choices for dressings (vinaigrette, honey mustard.)= 2

By Fundamental counting principal .

The number of different salads can be made= (Choices for extra toppings) x (Choices for meats ) x (Choices for dressings)

= 2 x 2 x 2 = 8

All the possible outcomes = (MBV), (MBH) , (MEV) , (MEH) , (OBV), (OBH) , (OEV) , (OEH)

Required Sample space would be : {(MBV), (MBH) , (MEV) , (MEH) , (OBV), (OBH) , (OEV) , (OEH)}

5 0

3 years ago

If r = 9, b = 5, and g=-6, what does (r+b-g) (b+g) equal? O-20 O-8 08 O 19 O 20

Colt1911 [192]

Answer:

-20...........................

7 0

1 year ago

Five years ago, Victor was twice as old as his daughter Anika. In 10 years, the sum of their ages will equal 90. Find their ages

frozen [14]

Answer: 45 and 25

Step-by-step explanation:

Given

Five years ago victor was twice as old as his daughter

Suppose the current age of victor and his daughter are x and y

For five years ago

$\Rightarrow (y-5)=2(x-5)\\\Rightarrow y-5=2x-10\\\Rightarrow y=2x-5\\\Rightarrow 2x-y=5\quad \ldots(i)$

In 10 years sum of their ages is 90

$\Rightarrow (y+10)+(x+10)=90\\\Rightarrow x+y=70\quad \ldots(ii)$

On solving (i) and (ii) we get

$\Rightarrow x=25,y=45$

So, the current age of victor is 45 and his daughter is 25

8 0

3 years ago

Acar moves at a constant speed of 50 miles per hour. How long

tresset_1 [31]

Answer:

4 hours · Speed = 50 mph · distance = time x speed · Time = 200 / 50 = 4 hours.

Step-by-step explanation:

5 0

2 years ago