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3 years ago

1)The table below represents a linear function f(x) and the equation represents a function g(x):

2 answers:

6 0

<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>

yarga [219]3 years ago

5 0

Answer:

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)

Step-by-step explanation:

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A spinner is divided into four equal sections that are numbered 2, 4, 7, and 9. The spinner is spun twice.How many outcomes have

shusha [124]

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If the spinner is spun twice, the sample space is:

$\text{Sample space = 4}^2\text{ = 16}$

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The number of outcomes that have a product less than 30 = 10

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1 year ago

(3 1/2 - 9 3/4) divided by (-2.5)

vlabodo [156]

Answer: 2.5

Step-by-step explanation:

$\frac{3\frac{1}{2}-9\frac{3}{4} }{-2.5}$

Solve the numerator first.

$3\frac{1}{2}-9\frac{3}{4} =9-3(\frac{1}{2}-\frac{3}{4})=6(\frac{1*4-2*3}{2*4})=6(\frac{4-6}{8})=6(\frac{-2}{8})=-6\frac{1}{4}$

We are left with: $\frac{-6\frac{1}{4} }{-2.5}$

To be able to work this out, we must convert the fraction to a decimal.

To do this, you can either go from a mixed number to an improper fraction and then from an improper fraction to a decimal, or you can divide the fractional part of the mixed number and add it to the whole number.

6+(1/4)

6+(0.25)

6+0.25

6.25

--------------------------------------------

$\frac{-6.25}{-2.5}$

Now, we know that this is a positive outcome because we have 2 negatives dividing.

6.25/2.5

To be able to work this out we have 1 more step to go. We have to convert these decimals to whole numbers; to do this, we multiply by 1 followed by as many zeros as the biggest number of decimals. In this case, the biggest number of decimals is 2, therefore; we must multiply by 1 followed by 2 zeros rather 100.

6.25*100/2.5*100

625/250

-----------------------------------------------------------

Let's solve this.

625/250=2.5

500

-------

125'0

1250

-----------

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3 years ago

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yanalaym [24]

Answer: 6935

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opposite way, because it is not 5396

Step-by-step explanation:

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