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Artyom0805 [142]
3 years ago
15

Solve this system of linear equations. Separate

Mathematics
1 answer:
Elanso [62]3 years ago
4 0

Answer:

(-3, -3)

Step-by-step explanation:

1.) Rewrite the second equation so 3y is on one side of the equation:

3y=6+5x

2.) Substitute the given value of 3y (replacing 3y with 6+5x, since we know they equal each other) into the equation 17x=-60-3y

Should end up with this:

17x=-60-(6+5x)

3.) Solve 17x=-60-(6+5x)

Calculate Difference: 17x=-66-5x

Combine Like Terms: 22x = -66

Divided both sides by 22 to isolate and solve for x: -3

So We know x=-3, now we got to find the y value. We can use either the first or second equation to find y value, so lets use the second.

3y=6+5x

1.) We know that x=-3, so we can simply substitute x in the equation

3y=6+5x with -3

3y=6+5(-3)

2.) Solve 3y=6+5(-3)

Combine Like Term: 3y=6+-15

Combine Like Term Even More: 3y= -9

Divide by 3 on both sides to isolate and solve for y: y=-3

So now we know y=-3 and once again we know x=-3, so if we format that

(-3,-3)

^  ^

x  y

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6. If m∠COD=8x+13, m∠BOC=3x-10, and m∠BOD=12x-6, find m∠BOD
Ahat [919]

Answer:

Step-by-step explanation:

Given

m∠COD=8x+13,

m∠BOC=3x-10, and

m∠BOD=12x-6

The following addition property is true;

<BOD = <BOC + <COD

Substitute

12x-6 = 3x-10+8x+13

12x-6 = 11x+3

12x-11x = 3+6

x = 9

Get <BOD

<BOD = 12x-6

<BOD = 12(9)-6

<BOD = 108-6

<BOD = 102°

4 0
3 years ago
Graph the relation. Is the relation a function? Why or why not? {(–5, 6), (–2, 3), (3, 2), (6, 4)} No; a domain value has two ra
RoseWind [281]

Answer:

Yes; there is only one range value for each domain value

Step-by-step explanation:

A relation can be defined as a function f(x) if for each value of the domain of x, there exists a unique value of f(x).

For example

(2, 4)(3, 9)(-2, 4)(4, 16) Is a Function

(2, 4)(2,6)(3, 8)(3, -8) Is Not a Function

To analyze if the relationship shown is a function, you must observe that each value of the domain has a single value of the range assigned.

For the given points {(-5, 6), (-2, 3), (3, 2), (6, 4)} this requirement is satisfied. Therefore, the relationship is a function. The graph is shown in the attached image.

The correct option is: Yes; there is only one range value for each domain value

4 0
3 years ago
Read 2 more answers
Hailey spent $12 to buy $2 fish her cousin spent double the amount on fish each fish cost the same amount how many fish do haile
Alchen [17]
I believe 18 is the correct answer.
4 0
3 years ago
Read 2 more answers
Find the hcf*lcm for the number 105 and 125
Naily [24]

Answer:

15, 840.

Step-by-step explanation:

-HCM(GCM)

105's factor are 1, 3, 5, 7, <em>15</em>, 21, 35, 105.

125's factor are 1, 2, 3, 4, 5, 6, 8, 10, 12, <em>15</em>, 20, 24, 30, 40, 60, 120.

so, the answer is 15!

6 0
3 years ago
How expensive is Maui? A newspaper gave the following costs in dollars per day for a random sample of condominiums located throu
Leviafan [203]

Answer:

mean=134.3

median=65.5

mode=60

Step-by-step explanation:

Mean is computing by adding the all data values and then divided by number of values

mean=sum of all values/number of values

There are 20 data values.

mean=(88+50+66+60+360+55+500+71+41+350+60+50+250+45+45+125+235+65+60+110)/20

mean=2686/20

mean=134.3

For calculating median we arrange the data in ascending order

41  45  45  50  50  55  60  60  60  65  66  71  88  110  125  235  250  350  360  500

n/2=20/2=10 is an integer

So, the median is the average of n/2 and (n/2)+1 value

The median is average of 10th and 11th value

median=(65+66)/2

median=65.5

Mode is the most repeated value and we see that number of times the values are repeated are

45= 2 times

50= 2 times

60= 3 times

Thus, the most repeated value is 60 and it is the mode of data.

Mode=60

4 0
3 years ago
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