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tiny-mole [99]
3 years ago
5

Find the equation of the linear function represented by the table below in the slope-intercept form.

Mathematics
2 answers:
MAXImum [283]3 years ago
6 0

Answer:

y=x-32

Step-by-step explanation:

y=mx+b where m is the slope and b is the y-intercept.

slope=change in y/change in x

=5/5

y=5x+b --> choose a random point

(7,3) ---> 3=5(7)+b=35+b

b= -32

y=x-32

White raven [17]3 years ago
5 0
The correct answer is X = -32
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Find the equation that represent the proportional relationship in this graph for you and terms of x​
mr_godi [17]

y =  \frac{1}{6} x \\

7 0
3 years ago
Evaluate: negative -20 divided by -10 pleas help
Westkost [7]

Answer:

2

Step-by-step explanation:

-20 divied by -10 is two

2 negavties make a positive

7 0
3 years ago
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What is 4z-3/z+6 when z = −3?
Ierofanga [76]
4(-3)-3/(-3)+6
-12-3/-3+6
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3 0
3 years ago
Tonya has a rectangular rug with an area of 21 square feet. The rug is 4 feet longer than it is wide. Create an equation that ca
marissa [1.9K]

a) The equations to determine the length and the width of the rug are

l = 4 + w and l × w = 21

b) The enlarged rug's area =  60 square feet

Step-by-step explanation:

Step 1 :

Let l be the length and w represent the width of the rectangular rug

Given the area  = 21 square feet.

So l × w = 21

Also given, the length is 4 feet longer than the width .

So we have

l = 4 + w

Step 2 :

Using the above 2 equations we have

(4+w)w = 21

w² + 4 w - 21 = 0

(w+7)(w-3) = 0

=> w = -7 or w = 3

Since w is the width of the rug, we take the positive value w = 3 as the width

So w = 3 feet

So

l = 4 + w = 4 +3 = 7 feet

Step 3 :

When a 1.5 foot border is added all the way round the rug, the length and  width are increased by 3 feet (1.5 feet on both sides)  the rug's enlarged  length and the rug's enlarged width is

l = 7 + 3 = 10

w = 3 + 3 = 6

The enlarged rug's area = 10 × 6 = 60 square feet

Step 4 :

Answer :

The equations to determine the length and the width of the rug are

l = 4 + w and l × w = 21

The enlarged rug's area =  60 square feet

7 0
3 years ago
Carolina, with the intention of investing money in real estate, acquired a plot of land for R$ 350,000.00. Over four years, the
Bas_tet [7]

At the end of the analyzed period this plot of land will have the value as given by: Option D: 420,506.24

<h3>What is appreciation and deprecation?</h3>

Deprecation, also called devaluation, is the decrement in price of an asset. Appreciation is opposite of deprecation. This indicates increment in the price of the considered thing.

<h3>How to find the percentage from the total value?</h3>

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

\dfrac{a}{100} \times b

It is given that:

  • Initial price of the plot of land = $350,000
  • First year: 12% appreciation
  • Second year: 10% appreciation
  • Third year: 8% devaluation
  • Fourth year: 6% appreciation

Now, consider appreciation of an amount A by P%.

Then, we have:

Increased price = Initial price + P% of initial price

Increased price = A + \dfrac{A}{100} \times P = A \times \left(1 + \dfrac{P}{100} \right)

Similarly, depreciated price by P% of an amount A is:

Decreased price = A - \dfrac{A}{100} \times P = A \times \left(1 - \dfrac{P}{100} \right)

We've got: A = 350,000

After 1st year, which had 12% appreciation, we get:

A_1 =A(1 + 12/100) = A(1.12)\\
After 2nd year, 10% appreciation we get:

A_2 =A_1(1 + 10/100) = A_1(1.1) = A(1.12)(1.1)\\

After 3rd year, which had 8% devaluation effect on the price, we get:

A_3 = A_2(1 - 8/100) = A_2(1-0.08) = A_2(0.92) = A(1.12)(1.1)(0.92)

After 4th year,  which had 6% appreciation effect on the price, we get:A_4 = A_3(1 + 6/100) = A_4(1+0.06) = A_3(1.06) = A(1.12)(1.1)(0.92)(1.06)

Thus, the final effect on A is:

A \rightarrow A(1.12)(1.1)(0.92)(1.06) = A(1.2014464)\\\$350,000 \rightarrow 350000(1.2014464) = 420506.24\: \rm dollars

Thus, at the end of the analyzed period this plot of land will have the value as given by: Option D: 420,506.24

Learn more about percent here:

brainly.com/question/11549320

#SPJ1

4 0
3 years ago
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