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mario62 [17]
2 years ago
5

Two lines have a slope of 3 and different y-intercepts how many solutions will this system have

Mathematics
1 answer:
Taya2010 [7]2 years ago
6 0

Answer:

0 solutions / no solutions

Step-by-step explanation:

If two lines have the same slope but different y-intercepts, it means that they are parallel.

For example, we have two lines:  

y = x

y = x + 1

Both lines have the same slope of 1, but different y - intercepts. Because each equation increases the x and y at the same right (slope) but started at different points, the two equations will never touch.

It's similar to two runner who run at the same pace. If one runner started 50 meters ahead, that runner will always be ahead 50 meters (y-intercept) because they both run at the same rate.

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The following system has a solution: x=10, y=-3, z=14
wolverine [178]
<h2>Answer:</h2><h3>False</h3>

<h2>Step-by-step explanation:</h2>

In this problem, we have the following System of Three Equations in Three Variables, so our goal is to determine whether x=10, \ y=-3, \ z=14 is the solution to this system, that is, the ordered triple P(x,y,z) where three planes intersect.

The easier way to find the answer is to plug in the x, y and z values in the equations and figure out whether the equations satisfy the solutions. Then:

First \ Equation: \\ \\ 3(10)+7(-3)-14=-5 \\ \\ It \ satisfies \ the \ first \ equation \\ \\ \\ Second \ Equation: \\ \\ 9(10)-(-3)-4(14)=37 \neq 17 \\ \\ It \ doesn't \ satisfy \ the \ second \ equation

STOP HERE! Since the x, y an z values doesn't satisfy the second equation, the x=10, \ y=-3, \ z=14 is not the solution to the system of equations.

5 0
3 years ago
3. You have the option of buying 20 tickets at the fair for $15 or 45 tickets for $27. Which is the best deal? Show your work.
aalyn [17]

Answer:

the twenty tickets

Step-by-step explanation:

20/15=1.33333333

45/27=1.66666667

7 0
3 years ago
Which answer describes the transformation of f(x )= x^2 − 1 to g(x) = ( x + 4 )^2 − 1?
OverLord2011 [107]
The (x + 4) tells you that the function is moving 4 units to the left.
the answer would be letter C
5 0
3 years ago
Find the volume of each figure. PLZZZ I NEED HELP ASAP!!!!!! :/
ella [17]
8) v=1/3 x 6^2 x 11
= 132cm^3

10) 80ft^3

11) 72km^3

Hope this helps!!
6 0
3 years ago
answer to #10 and #13. can’t figure out how to use interval notation to write domain and range for graphs.
Lyrx [107]
Interval notation is used to write a set of real numbers from one value to another value.
On the left, you start with left parenthesis or left bracket.
Then you follow by two numbers separated by a comma.
You then finish with a right parenthesis or right bracket.
To include a number, use a square bracket.
To exclude a number use parenthesis.
To write the set of numbers, you need to list the smallest number in the set followed by the largest number in the set. An interval is always stated with two numbers, from the smallest in the set to the largest in the set. The numbers are always separated by a comma.

Examples:

1) All numbers from 6 to 10, including 6 and 10.
Algebra: 6 <= x <= 10
Interval: [6, 10]
Notice brackets since both 6 and 10 are included in this interval.

2) All number from 5 to 20, including 5 but not including 20.
Algebra 5 <= x < 20
Interval: [5, 20)
Bracket with 5 means include 5. Parenthesis with 20 means 20 is not included.

3) All numbers greater than or equal to 7.
Algebra: x >= 7
Interval: [7, ∞)
The 7 has a bracket because it is included. Infinity always has parenthesis.
With the infinity symbol, always use parenthesis, not square bracket.

4) All numbers less than -5.
Algebra: x < - 5
Interval: (-∞, 5)

Now for your problems.

10.
This is a line. Both the domain and range all all real numbers.
That means the interval is from negative infinity to positive infinity.
(-∞, ∞)
Both the domain and range are that same interval, all real numbers, from negative infinity to positive infinity.

13.
The domain is all real numbers as you can see the x-coordinates extend left forever and right forever. The domain is the same interval as the domain and range of problem 10.

The range is zero and all positive numbers.
You can think of it a all values of y such that y is greater than or equal to zero. Notice that zero is included in the interval.

[0, ∞)

Since zero is included, we use a left bracket, not left parenthesis.
With infinity, we alyways use parentheses, not brackets.
8 0
2 years ago
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