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Ann [662]
3 years ago
8

Can anyone please help me in this

Mathematics
1 answer:
Alik [6]3 years ago
4 0

These problems are called systems of equations. Basically you have two linear equations and you need to find the values for x and y. In other words, all these equation are lines and our answer will be the exact point that the pair of lines intersect. For example, if we get x=1 and y=2 the lines will intersect at point (1,2). Now that you have some background knowledge here comes the tricks and tactics kid.

We know that we can solve one variable equation easily. For example...

x+1=2

x=1 obviously

Cause we have two variables x and y it is not possible to find a solution. For example, in the equation x+y=10, x=1 when y=9 and x=2 when y=8. There is not correct answer.

So what can we do? We have to make a two variable equation into a one variable equation.

There are two ways to do this: substitution and elimination. I will create a sample problem and then solve it using both methods.

x+y=2

2y-y=1

3)  

-3x-5y=-7 -----> -12x-20y=-28

-4x-3y=-2 ------> -12x-9y=-6

 -12x-20y=-28

-(-12x-9y=-6)

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

-11y=-22

y=2

-3x-5(2)=-7

-3x=3

x=-1

4) 8x+4y=12 ---> 24x+12y=36

7x+3y=10 ---> 28x+12y=40

 28x+12y=40

-(24x+12y=36)

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

4x=4

x=1

8(1)+4y=12

4y=4

y=1

5) 4x+3y=-7

-2x-5y=7 ----> -4x-10y=14

    4x+3y=-7

+(-4x-10y=14)

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

-7y=7

y=-1

4x+3(-1)=-7

4x=-4

x=-1

6) 8x-3y=-9 ---> 32x-12y=-36

5x+4y=12 ---> 15x+12y=36

 32x-12y=-36

+(15x+12y=36)

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

47x=0

x=0

8(0)-3y=-9

-3y=-9

y=3

7)-3x+5y=-2

2x-2y=1 ---> x-y=1/2 ----> x=y+1/2

-3(y+1/2)+5y=-2

-3y-1.5+5y=-2

2y=-0.5

y=0.25

2x-2(0.25)=1

2x=1.5

x=0.75

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Suppose a scientist reported the following data regarding the presence bacteria during the first four hours of testing for a new
OlgaM077 [116]

The recursive geometric sequence that models this situation is:

f(n) = 0.9f(n-1)

f(1) = 90000

<h3>What is a geometric sequence?</h3>

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

It can be represented by a recursive sequence as follows:

f(n) = qf(n-1)

With f(1) as the first term.

In this problem, the sequence is: 90.000: 81,000; 72,900; 65,610, hence:

q = \frac{65610}{72900} = \cdots = \frac{81000}{90000} = 0.9

f(1) = 90000

Hence:

f(n) = 0.9f(n-1)

f(1) = 90000

More can be learned about geometric sequences at brainly.com/question/11847927

7 0
1 year ago
The typical full-time employee in a particular hotel works a 40-hour week. Last month, the hotel's 80 employees worked a total o
Mila [183]

Answer: There are 25 FTEs.

Step-by-step explanation:

Since we have given that

Number of hour week for full time employee = 40 hours

In a month we know that

Number of weeks = 4

Total number of hours in a month would be

40\times 4\\\\=160\ hours

If in last month, the hotel's 80 employees worked a total of 4000 hours,

So, Full time equivalent workers were employed by the hotel last month would be

\dfrac{4000}{160}\\\\=25

Hence, there are 25 FTEs.

7 0
3 years ago
Help plzzzzzzzzzzzzz
ZanzabumX [31]
1 1/2 * 3/4 = 

Change 1 1/2 to an improper fraction = 3/2

3/2 * 3/4 = 6/4 * 3/4

6/4 * 3/4 = 18/4 = 4 2/4 = 4 1/2

The answer is 4 1/2.

Hope this helped☺☺
4 0
3 years ago
Solve for x 3x + 10 - 4 = 21​
Ivan

Answer:

X = 5

Step-by-step explanation:

6 0
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Are two ratios are equivalent to two thirds
trapecia [35]
2:3 and 4:6 are two different ratios that are equivalent to 2/3.

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