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Lana71 [14]
3 years ago
9

What is the solution of 3x + 5 = 2x – 7?

Mathematics
1 answer:
Schach [20]3 years ago
5 0

Answer:

the x-coordinates of the intersection point of the lines y = 3x + 5 and y = 2x – 7

Step-by-step explanation:

When you set two equations or functions equal to each other that is saying you want to know when the graphs intersect.  So the y and x intercept don't matter, unless you combined the terms like this.

3x + 5 = 2x – 7

x + 12 = 0 then that terms x intercept woudl be the x coordinate of the intersection of the other two terms.  But remember, this is onlyif you combines the two functions.  

Of your options you just want the ones dealing with the intersection point.  And of those two we are plugging in x, so we want the x coordinate.

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Mark and don are planning to sell each of their marble collections at a garage sale. if don has 2 more than 4 times the number o
Sonbull [250]

If the total number of marbles is 102, Mark has 20 marbles while Don has 82 marbles.

To answer this word problem, read and understand first the problem.

"Don has 2 more than 4 times the number of marbles Mark has."

Out of this statement, we can come up with the expression,

Don = 2 + (4 x Mark)     (equation 1)

Next, the total number of marbles they have is 102.

Don + Mark = 102     (equation 2)

From this expression, if we subtract the number of marbles Mark has from the total number, we can get the number of marbles Don has.

Don = 102 - Mark    (equation 3)

Equating the 1st and 3rd equation,

Don = 2 + (4 x Mark) = 102 - Mark

2 + (4 x Mark) = 102 - Mark

let x = Mark's

2 + (4x) = 102 - x

4x + x = 102 - 2

5x = 100

x = 20

Mark has 20 marbles.

Meanwhile, use either the 1st or 3rd equation to know the number of marbles Don has.

Don = 102 - Mark    (equation 3)

Don = 102 - 20

Don = 82

For more examples of mathematical expressions to solve word problems:, brainly.com/question/13818690.

#SPJ4

7 0
1 year ago
members of the wide waters club pay 105 dollars per summer season, plus 9.50 each time they rent a boat. Nonmembers must pay 14.
WITCHER [35]
When handling problems of this nature make sure you setup the equations. 
x = number of times they rent a boat. 

Members 
Cost = 105 + 9.50x
Non members because members don't have to pay the 105 we leave it out. 
Cost = 14.75x 

so now to determin when cost would be equal we set the two equations = to each other

105 + 9.50x = 14.75x 

now solve for x 

105 = 5.25x
 
20 = x 

so they would have to rent 20 times to equal each other. 
4 0
3 years ago
What was Bassima’s error?
stepladder [879]

Answer:

D

Step-by-step explanation:

EVerytime you do exponents its positive

3 0
3 years ago
Read 2 more answers
#6 - Calculate the monthly payment necessary to retire the following loan
klemol [59]

9514 1404 393

Answer:

  A)  $1350

  B)  $5850

  C)  $162.50

Step-by-step explanation:

A) The interest is given by the formula ...

  I = Prt

where P is the principal amount, r is the interest rate, and t is the number of years.

  I = $4500×0.10×3 = $1350

The interest owed is $1350.

__

B) At maturity, the principal and interest are due. That amount is ...

  $4500 +1350 = $5850

The maturity value is $5850.

__

C) If the maturity value is paid in 36 equal monthly installments, each is ...

  $5850/36 = $162.50

The monthly payment is $162.50.

4 0
3 years ago
A box is placed on the floor.
Sedaia [141]
Hiiii hope it helps
8 0
2 years ago
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