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DIA [1.3K]
3 years ago
11

Two lines have the following equations

Mathematics
1 answer:
Mashcka [7]3 years ago
4 0

Answer:

(4,-3)

Step-by-step explanation:

Easiest way to do this without any advanced methods is to use the answer choices to your advantage.  

For a.) we have (1,1) meaning x = 1 and y = 1 if we get a 7 for the first equation and a -2 for the second equation then that is the correct answer.

Let x=1, y =1:

4(1)+3(1)=4+3=7  Correct so far.

1+2(1)=1+2=3      Incorrect since we should have got a -2 if this was the solution


Let (0,-1) x = 0, y = -1:

4(0) + 3(-1) = 0 -3 = - 3 Incorrect so we can stop there next answer choice.


Let (4,-3) x = 4 y = -3:

4(4)+3(-3)=16-9=7   Correct so far.

4+2(-3)=4-6=-2      Both are correct!

Therefore the solution (where the lines intersect) is (4,-3).


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Determine the domain and range of the graph.
nirvana33 [79]

Answer:

Domain [-4,4]

Range [-2,2]

Step-by-step explanation:

The domain is the x-values of the graph and the range in the y-values. When writing domain and range it should be from least to greatest. So to find the domain find the lowest x-value on the graph and then the highest. Next, do the same for y-values. Finally, either surround each value with parentheses or bracket, the difference is that brackets mean that value is included, while parentheses mean that value is not actually on the graph.

In this case, the lowest x-value is -4 and the highest is 4, both values are included as signified by the closed circles, therefore the domain is [-4,4]. The lowest y value is -2 and the highest is 2, both are included, therefore the range is [-2,2].

4 0
3 years ago
Graph y=6x−7<br> Identify the x-intercept.
valina [46]

9514 1404 393

Answer:

  x-intercept: 7/6

Step-by-step explanation:

The x-intercept is found by solving for x when y=0.

  0 = 6x -7

  7 = 6x . . . . . add 7 to both sides of the equation

  7/6 = x . . . . divide both sides by 6

The x-intercept is 7/6 = 1 1/6 ≈ 1.167.

__

The y-intercept is the constant in the given equation: -7. The slope of 6 tells you the line rises 6 units for 1 unit to the right. So, the point (1, -1) is another point on the graph. The line through those two points, (0, -7) and (1, -1), will intersect the x-axis at x=7/6.

6 0
3 years ago
My number has a tens digit that is 8 more than the ones digit. Zero is not one of my digits. Write the 2-digit number that match
pochemuha

Answer:

The number is 91

Step-by-step explanation:

Let x be the ones place digit and y be the tens place digit,

Then the number would be 10y + x,

We have,

y - x = 8

Possible values of y and x = { (8, 0), (9, 1) }

∵ 0 is not the digit of the number,

Hence, y = 9 and x = 1

Therefore, required number = 10(9) + 1 = 90 + 1 = 91

6 0
3 years ago
Read 2 more answers
Six copies of the sum of nine fifths and three ​
fgiga [73]

Answer: What is the complete question? Can you comment it?

Step-by-step explanation: I can’t help unless I know what the full question is. Sorry.

5 0
2 years ago
Should any factors be accounted for when<br> explaining how to solve an equation?
Veronika [31]
Yes, it should be taken into account
3 0
3 years ago
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