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lozanna [386]
4 years ago
10

Which linear function has a negative slope, f(x) or g(x)? ​

Mathematics
2 answers:
Anit [1.1K]4 years ago
8 0

Answer:

f(x) is negative and g(x) is positive

Step-by-step explanation:

f(x) = 4-x

Rewriting

f(x) = -x+4

We recognize this as

y= mx+b or the representation of a line with slope -1 and y intercept 4

f(x) is linear

g(x)  as we increase x by 1 we increase g(x) by 2

The slope is 2, and the y intercept is 1

y = 2x+1

Lets check a point

(2,5)

5 = 2(2)+1

5=5  so we are correct

f(x) is negative and g(x) is positive

Lera25 [3.4K]4 years ago
6 0

Answer:

f(x)

Step-by-step explanation:

f(x) = -x + 4

Slope of f(x): -1 (negative)

Slope of g(x):

Slope: (-1 - -3)/(-1 - -2)

Slope = 2/1 = 2 (positive)

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Answer:

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Juli2301 [7.4K]
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There are 12 baseball trading cards in 4 packages. each package has the same number of cards. Write a rule in words for the numb
Tamiku [17]

Answer:

  • <u>Rule in words:</u>

        The number of packages Justin needs to buy to get x cards is x divided by 3.

  • <u>Rule as an algebraic expresssion:</u>

        y=x/3

Explanation:

This is a direct variation problem.

Since  each package has the same number of cards, the number of cards is proportional to the number of packages.

12 baseball cards in 4 packages means that there are 12/4 = 3 cards per package, so:

  • The number of cards is 3 times the number of packages.

  • The number of packages is the number of cards divided by the number of 3.

So, the <em>rule in words</em> for the number of packages Justin needs to buy x cards is one third of x. This table may help you to visualize it:

Number of packages:   1     2     3      4    5

Number of cards:          3     6     9    12    15

To find the <em>algebraic expression</em> that describes the same rule, you can set the following proportion:

\frac{12}{4} =\frac{x}{y}

Where y is the number of packages and x is the number of cards.

And from that you solve for y:

\frac{12}{4} =\frac{x}{y}\\ \\ 12y=4x\\ \\ y=4x/12\\ \\ y=x/3

8 0
4 years ago
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Aloiza [94]

Answer:

1.22

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Step-by-step explanation:

4. We can find the quarter circle, we can find the whole triangle, lets do that

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The triangle is, 2 * 2 divided by 2, which is 2

2 - 1/4pi gives us the shaded part or

2 - 1/4*3.14

2 - 0.785 = 1.215 rounded to 1.22

5. The area of a cylinder is pir^2h. r is 10, h is 1.2

12pi cm^3

we have 20 m^3 which is 2000 cm^3

Let's divide,

2000/37.68 = 53.078, rounded gives us 53.08

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Answer:

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Step-by-step explanation:

3 0
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