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Sunny_sXe [5.5K]
3 years ago
11

Write the equation of the line that passes through (-2,0) and (0, -7)

Mathematics
2 answers:
7nadin3 [17]3 years ago
6 0

Answer:

y= -3.5x-7

Step-by-step explanation:

insert (-2,0), (0,-7) into the equation y=ax+b

=> 0= -2a+b, -7=b

solve a, b

\left \{ {{-2a+b=0} \atop {b=-7}} \right.

=> -2a-7=0

=> -2a=7

=> a= -3.5, b= -7

insert a, b into the equation y=ax+b

y= -3.5x-7

MakcuM [25]3 years ago
4 0

Answer:

Step-by-step explanation:

1.

(-2,0) (0,-7)                y2-y1

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

                                 x2-x1

-7-0= -7

0- (-2)= 2             ------>>> -7/2 =m or slope

2.

y= -7/2x+b          to find b u plug in one pair of coordinates for example (-2,0)

                          and use inverse properties to find b

0 = -7/2(-2) + b

       14/2 = 7

0= 7+b

-7 -7

-----------

-7=b

3.

y=-7/2x-7    

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Dustin bought a flower pot that was marked down 60% from an original price of $2.50. If he paid 11% sales tax, what was the tota
grandymaker [24]

Answer:

He paid $1.11

Step-by-step explanation:

2.50 * 0.4 (he paid for 40% of the original price, since it was a 60% discount) = 1

1 * 0.11 (11% sales tax) = 0.11

1 + 0.11 = 1.11

7 0
3 years ago
. If her allowance had stayed the same, $9.00 a month, how many carnival tickets could she bu
jarptica [38.1K]

Answer:

a) number of tickets she could buy in a month with her allowance in 2008 = 4 tickets

b) number of tickets she could buy in a month with the same allowance in 2012 = 2 tickets

c) $5, an increase of 55.56%

d) $2, a 100% increase.

e) Hallie was able to buy more tickets in 2008 than in 2012.

f) $16

Step-by-step explanation:

The complete question is presented in the attached image to this answer.

a) Halie's allowance monthly = $9

Price of a ticket in 2008 = $2

number of tickets she could buy in a month with her allowance = (9/2) = 4.5 = 4 tickets (since there are no half tickets)

b) Halie's allowance monthly = $9

Price of a ticket in 2012 = $4

number of tickets she could buy in a month with her allowance = (9/4) = 2.25 = 2 tickets (since there are no quarter tickets)

c) In 2012, Hallie's allowance was $14.00 per month. How much did her monthly allowance increase between 2008 and 2012?

Her monthly allowance in 2008 = $9

Her monthly allowance in 2012 = $14

The increase = new allowance - old allowance = 14 - 9 = $5

In percentage terms,

% increase = 100% × (new - old)/(old)

% increase = 100% × (14 - 9)/9 = 55.56%

d) How much more did a carnival ticket cost in 2012 than it did in 2008?

Price of a ticket on 2008 = $2

Price of a ticket in 2012 = $4

Increase in price = 4 - 2 = $2

% increase = 100% × (4 - 2)/2 = 100%

e) Was Hallie able to buy more carnival tickets in 2008 or in 2012 with one month's allowance?

Hallie was able to buy more tickets in 2008 than in 2012.

f) What would Hallie's allowance need to be in 2012 in order for her to be able to buy as many carnival tickets as she could in 2008?

Hallie could buy 4 tickets in 2008.

Price of a ticket in 2012 = $4.

Price of 4 tickets in 2012 = 4 × $4 = $16

Hope this Helps!!!!

3 0
3 years ago
HELP ME PLEASE AND THANKS
gavmur [86]
X is equal to 22.25 so all you have to do is to fill it in and find the answers
8 0
3 years ago
HELP ME I WILL MARK BRAINLIEST
Westkost [7]

Answer:

The answer is 1/15

I hope it helps

7 0
3 years ago
an article when sold at a profit of 5% yields rupees 50 more than when sold at a loss of 5% what was the cost price of the artic
ziro4ka [17]

I'm going to assume that the question should say “at a profit of 5%”.

Restate question in the form of a equation.

Let C = the cost price of the item.

C + 0.705 C = C - 0.05 C + Rs 50

0.05 C = - 0.05 C + Rs 50

0.10 C = Rs 50

C = Rs 500

The cost price of the item is Rs 500

I hope this help you

6 0
3 years ago
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