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defon
3 years ago
14

Dam is rowing a boat away from a dock the graph shows the relationship between the time and sams distance from the dock. Evaluat

e the function for an input of 9

Mathematics
2 answers:
Jlenok [28]3 years ago
3 0
The answer is B.

A and C would not be correct because you are finding the distance for 9 minutes. D is not correct because the y-axis does not even have 3 meters on it, neither does the graph hit y=3.
belka [17]3 years ago
3 0

Answer:

B. After 9 minutes Sam is 80 meters away from the dock.

Step-by-step explanation:

We have been given a graph of function that shows the relationship between the time and Sam's distance from the dock.

Let us see our given options one by one to find the correct choice.

A. After 80 minutes Sam is 9 meters away from the dock.

Upon looking at our graph we can see that y-axis is representing distance in meters and x-axis is representing time in minutes. Range of x is from 0 to 11 So our input cannot be greater than 11.    

Therefore, option A is not a correct choice.

B. After 9 minutes Sam is 80 meters away from the dock.

We can clearly see from our given graph that at 9 minutes distance is 80 meters, which means that after 9 minutes Sam is 80 meters away from the dock. Therefore, option B is the correct choice.

C. After 80 minutes Sam is 80 meters away from the dock.

We can see from our graph that range of x is from 0 to 11 minutes, So our input can not be greater than 11. Therefore, option C is not a correct choice.  

D. After 9 minutes Sam is 3 meters away from the dock.

We can see from our graph that initial value of our function is 20, which means that at time equals 0 minutes Sam was 20 meters away from dock and this distance is increasing with the time. Therefore, option D is not a correct choice.  

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Identify the data set that could be quadratic. HELP ASAP!!
Ne4ueva [31]

Answer:

Option B can be quadratic.

Step-by-step explanation:

Take a look at the data.

A quadratic equation is of the form ,

y = ax^{2} +bx + c,

where, a,b,c are constants.

<em>To find an unknown equation of 3 variables,</em>

<em>we need 3 points lying on the equation.</em>

here they have given, 5 points, meaning all should lie on the curve.

<em>For first option,</em> inserting first 3 points to find equation, we get equation as,

y = x^{2} -4x +11, but the rest points don't satisfy the curve.

So first option is not quadratic.

Similarly, it can be shown that option C and D are also not quadratic.

While, in option B, it is clear that for every y, x is y squared,

x = y^{2}, thus quadratic in nature.

6 0
3 years ago
Let f(x) = x2- 3x - 7. Find f(-3)
Alexxx [7]
F(x) = x^2 - 3x - 7
f(-3) = (-3)^ 2 - 3(-3) - 7
f(-3) = 9 + 9 - 7
f(-3) = 18 - 7
f(-3) = 11
6 0
3 years ago
X&gt;0 and 2x^2+3x-2=0 what is the value of x
vladimir2022 [97]

Step-by-step explanation:

2x²+3x-2=0

(2x-1)(x+2)

x+2=0

x=-2 (no, because x must be >0)

2x-1=0

2x=1

x=½ (yes, because x>0)

3 0
3 years ago
In 1999, there were 9860 Great Danes registered with the American Kennel Club. The number of
dybincka [34]

Answer:

154,897

Step-by-step explanation:

Labradors were

6997 MORE than 15 TIME Danes

So, first, what is 15 times Danes??

Given 9860 Danes, fifteen times Danes would be:

9860 * 15 = 147,900

Now, 6997 MORE to that, it would be:

147,900 + 6997 = 154,897

Thus,

There were 154,897 registered Labrador Retrievers

8 0
3 years ago
The price of an Item has been reduced by 80%. The original price was $65. What is the price of the item now?​
PIT_PIT [208]

Answer:

$13

Step-by-step explanation:

multiply 65 by 80 then divide by 100, you get 52, so subtract 65 from 52 you get 13

5 0
3 years ago
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