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Marysya12 [62]
3 years ago
9

If a ship's path is mapped on a coordinate grid, it follows a straight-line path of slope 4 and passes through point (1, 2).

Mathematics
1 answer:
viktelen [127]3 years ago
5 0
A.
Using the point-slope form:
y - 2 = 4(x - 1)
y = 4x - 2

B.
We plug the point into the equation to see if it is satisfied:
24 = 4(7) - 2
24 = 26; This is not true so the point is not on the ship's path

C.
The slope of this ship's motion is -1/4, which is the negative reciprocal of the first ship's slope. Therefore, the ships are moving in perpendicular to one another.
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Pedro brought 8 tickets to a basketball game. he paid a total of 208. write and equation to determine whether each ticket cost $
kompoz [17]
8x26=208
8x28=224

He paid $26 per ticket
5 0
2 years ago
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If f(x)=mx+b what are the values of m and b​
GaryK [48]

The m variable is the slope of the line and controls its 'steepness'. A positive value has the slope going up to the right. A negative slope goes down to the right. The b variable is the y intercept - the point where the line crosses the y axis.

example 1                                                    

y = mx + b

m = slope b = y-intercept

y = 3x - 1

m = 3 and b = -1

example 2

y = b + m<em>x</em><em> </em>

b = y-intercept m = slope

y = 5 - 1/2x

m =- 1/2 and b = 5

(<u><em>hope this helped!!)</em></u>

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6 0
3 years ago
A group of eight golfers paid $445 to play a round of golf. Of the golfers, one is a member of the club and seven are nonmembers
sukhopar [10]

Answer:

the cost for a member to play a round of golf: $95

the cost for a nonmember: $50

Step-by-step explanation:

the cost for a member to play a round of golf: $x

the cost for a nonmember: $y

x+7y=445

x+2y=195

=> y=50, x=95

3 0
3 years ago
Read 2 more answers
Explain what each of the following correlations means:
Aleksandr [31]

Answer:

a. The number of crude oil imports from Norway and the number of drivers killed in a collision with a train, have a very strong positive relationship. This means that an increase in the number of crude oil imports from Norway will strongly influence and lead to an increase in the number of drivers killed in a collision with a train and vice versa.

b. There is a moderately strong negative relationship between how much precipitation Texas gets and how much revenue online retailers bring in on Thanksgiving. An increase in how much precipitation Texas gets will moderately influence and lead to a decrease in how much revenue online retailers bring in on Thanksgiving and vice versa.

c. The amount of coffee consumed by the average American and how many iPhones were sold have a very strong negative relationship. An increase in one will strongly lead to a decrease in the other.

d. There is an extremely strong (near perfect) positive relationship between the divorce rate in Maine and the per capita consumption of margarine.

e. There is no relationship between how many males in Wisconsin died due to slipping or tripping and how many farms there are in the US. They are completely independent of one another.

Step-by-step explanation:

Correlation measures the degree of association between 2 variables.  

The Correlation coefficient (r) can assume values that lie between -1 and +1

If r is between 0.1 to 0.5 or -0.1 and -0.5, then the 2 variables in the relationship are said to be weakly related.

If the value of r is between 0.9 and 1 or -0.9 and -1, then the  variables are said to be strongly related.

r = 0 means that there is no correlation between the variables and r = ±1 means a perfect positive of perfect negative relationship between the variables.

6 0
3 years ago
Which graph represents the function on the interval [-3,3]? f(x)=[x]-3
Svetlanka [38]
<h2>Answer:</h2>

Shown below

<h2>Step-by-step explanation:</h2>

This function represents greatest integer function, which is the most famous of the step functions, which is denoted by [x]. So, this function is defined as:

f(x)=[x] \ the \ greatest \ integer \ less \ than \ or \ equal \ to \ x.. The graph of the greatest integer function has the following characteristics:

a) The domain of the function is the set of all real numbers.

b) The range of the function is the set of all integers.

c) The graph has a y-intercept at (0,0) and x-intercept in the interval [0,1)

d) The graph is constant between each pair of consecutive integers.

e) The graph jumps vertically one unit at each integer value.

f(x)=[x]-3 tells us that the original function has been shifted 3 units downward. So the correct option has been marked in the square red below.

5 0
3 years ago
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