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3 years ago

Thank you in advance.

Mathematics

1 answer:

zysi [14]3 years ago

6 0

Answer:

y = 1/3x - 8

Step-by-step explanation:

First you solve:

3x + y = - 5

Then subtract x since we're looking for y on both sides of the ( = ):

3x + y = - 5

-3x -3x

Making it:

y = -3x - 5

and then you make the slope ( m ) positive , like so :

1/3

then set up the equation :

y - y1 = m ( x - x1 )

and fill in the points they gave you :

( 3, -7 )

^x1 ^y1

Like this :

y - y1 = m ( x - x1 )

y + 7 = 1/3 ( x - 3 )

y + 7 = 1/3x - 1

-7 -7

y = 1/3x - 8

( If you have the calculator for it , you could always put the equation in and check if it goes through the point )

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In the first week of August, there were 1,060 people at an amusement

Marrrta [24]

Answer:

In second week there is percentage decrease (-ve sign) of 20% in people visiting compare to first week.

In third week there is percentage increase of 50% in people visiting compare to second week.

In fourth week there is percentage decrease of 75% in people visiting compare to third week.

Solution:

Need to determine percentage change in the number of people who went to amusement park for each week in august.

Given that,

In first week of august number of people went to amusement park let say $p_1$ = 1060

In second week of august number of people went to amusement park let say $p_2$ = 848

In third week of august number of people went to amusement park let say $p_3$ = 1272

And in fourth week of august number of people went to amusement park let say $p_4$ = 318

Percentage change from first week to second week is as follows

$\% \text { change }=\frac{p_{2}-p_{1}}{p_{1}} \times 100=\frac{848-1060}{1060} \times 100$

$=\frac{-212}{1060} \times 100=-20 \%$

So in second week there is percentage decrease (-ve sigh) of 20% in people visiting compare to first week.

Percentage change from second week to third week is as follows

$\begin{aligned} \% \text { change }=\frac{p_{3}-p_{2}}{p_{2}} \times 100 &=\frac{1272-848}{848} \times 100 =\frac{424}{848} \times 100=50 \% \end{aligned}$

So in third week there is percentage increase of 50% in people visiting compare to second week

Percentage change from third week to fourth week is as follows

$\begin{aligned} \% \text { change }=& \frac{p_{4}-p_{3}}{p_{3}} \times 100=\frac{318-1272}{1272} \times 100 =\frac{-954}{1272} \times 100=-75 \% \end{aligned}$

So in fourth week there is percentage decrease of 75% in people visiting compare to third week

5 0

4 years ago

In an arithmetic sequence, T1=4 and T7=22.

jonny [76]

Answer:

Step-by-step explanation:

t1 means a1 and t7 means a7

a+(n-1)d=an

a+(1-1)d=4

so we get a as 4

a=4

a+(n-1)d=an

4+(7-1)d=22

4+6d=22

6d=22-4

d=18/6

d=3

7 0

2 years ago

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natima [27]

Answer:

P = 21x + 4

Step-by-step explanation:

The perimeter is the length of all the sides added up.

(3x) + (4x + 1) + (2x - 2) + (2x - 2) + (3x + 1) + (4x + 5) + (3x + 1)

3x + 4x + 1 + 2x - 2 + 2x - 2 + 3x + 1 + 4x + 5 + 3x + 1

21x + 1 - 2 - 2 + 1 + 5 + 1

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The equation for the perimeter is

P = 21x + 4

6 0

3 years ago