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soldier1979 [14.2K]
2 years ago
5

The tree in Debra's backyard is 6 meters high. How high is it in centimeters?

Mathematics
1 answer:
Maksim231197 [3]2 years ago
3 0

Answer:

600 centimeters. 1 meter is equal to 100 centimeters

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1)The table below represents a linear function f(x) and the equation represents a function g(x):
irga5000 [103]
<span>1)The table below represents a linear function f(x) and the equation represents a function g(x):

 x     y
-1  -11
 0   -1
 1    9


g(x) = 5x + 1

Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)

slope of the data of the table:

slope = rise / run = Δy / Δx = [ 9 - ( - 1) ] / [1 - 0] = 10/1 = 10

Also Δy / Δx =  [-1 - (-11) ] / [ 0 - (-1) ] = 10 / 1 = 10

the slope of the function given in the form f(x) = mx + b is m, so the slope of g(x) = 5x - 1 is 5.

Comparisson: the slope of the function g(x) = 5x - 1 is half the slope of the function f(x) represented by the table.

Part B: Which function has a greater y-intercept? Justify your answer.

The y-intercept is the value of y when x = 0, so it is - 1 for the function represented by the table.

The y-intercept of a function given in the form f(x) = mx + b is b, so the y-intercept of g(x) = 5x - 1 is - 1.

So, both functions have equal y-intercept.

2)The table below shows the values of y for each value of x:

x  y
1  0
1 -1
2  1
2 -2

Part A: Does the table represent a relation that is a function? Justify your answer by using the values shown in the table. (4 points)

No, it is not a function, because the relation is ambiguous: the x-coordinate 1 may have two differente values, and the x-coordinate 2 may have two different. So you cannot determine the images of x = 1 and x = 2.

Part B: The function f(x) shown below represents the number of baskets Jess made at different distances, x, in meters, from the hoop:

f(x) = -x + 6

Calculate and interpret the meaning of f(4). (4 points)

f(4) = - 4 + 6 = 2

It means that Jess made 2 baskets at the distant of 4 meters.

Part C: Write an ordered pair to represent the input and output of the function in Part B when Jess is at a distance of p meters from the hoop. (2 points)

input, p         output, f(p)

6                       -6 + 6 = 0

So the ordered pair is (6,0)
</span>
6 0
3 years ago
Read 2 more answers
If 5 years ago nina was twice as old as sam, how soon from now will she be 1.5 times as old as sam? if x is sam's age 5 years ag
Anna35 [415]
I hope this helps you

7 0
2 years ago
Quien me ayuda? pls!!!
posledela

Answer:

The answer is B

Step-by-step explanation:

You need to find the derivitive of the equation and ,ultiply by B!!!

4 0
2 years ago
What is the value of b(10) when b(x)=|3-x|+1 ?
vredina [299]
B(x) = |3-x|+1

b(10) means that we need to replace x by 10:
b(10) = |3-10|+1
As you can notice, 3-10 is between the lines of the absolute power. So if the answer is positive, you keep positive. If the answer is negative, you transform it to positive. |a| = a and |-a| = a. So |a|=|-a|.
So |3-10| = |-7| = |7| = 7.

b(10) = |3-10|+1 = 7 + 1 = 8.

So the value of b(10) when b(x)=|3-x|+1 is 8.

Hope this Helps! :)
7 0
2 years ago
Can someone please put this in numerical order? Will give 15 points to who does!!!!!!
Liula [17]
75, 76, 80, 83, 84, 85, 89, 91, 94, 94
3 0
2 years ago
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