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Studentka2010 [4]
3 years ago
13

How many solutions does the system of equations have ? Y=5x + 15 Y=5x + 12

Mathematics
1 answer:
lianna [129]3 years ago
5 0

Answer:

no solutions

Step-by-step explanation:

We can solve this system using elimination. In this case, we can eliminate x and y by subtracting the two equations:

0=15-12

0=3

This is not true, meaning the system does NOT have any solutions.

OR

The equation for a line is:

y=mx+b

m: slope

b: y-intercept

Here we can see the two lines have the same slope, meaning they are parallel. If they are parallel, they do not intersect which means there is no solution.

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The product of (a + b)(a − b) is a2 − b2. (1 point) Sometimes Always Never
jenyasd209 [6]
ANSWER

\boxed{Always}
EXPLANATION


The given product is

( a - b)(a + b)

This is always equal to

{a}^{2}  -  {b}^{2}


The identity

( a - b)(a + b) =  {a}^{2}  -  {b}^{2}


is called difference of two squares.


We can verify this by simply expanding the brackets using the distributive property to obtain,


( a - b)(a + b) =  a(a + b) - b(a + b)



( a - b)(a + b) =  {a}^{2}   + ab - ab-  {b}^{2}

This simplifies to

( a - b)(a + b) =  {a}^{2}  -  {b}^{2}
6 0
3 years ago
Read 2 more answers
The following trinomial is completely factored: 12x2 - 15x + 24
MakcuM [25]
No, the x in 12x2 and 15x could still be factored.
8 0
3 years ago
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Answer?! Thanks I appreciate it
LenKa [72]
6.02 - 3.9 = 2.12 km
Convert 2.12 km to meters.
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4 0
3 years ago
PLEASE HELP SOLVE FOR Y
alexgriva [62]

Hello!

\large\boxed{y = 5(\frac{1}{2})^{x} }

Recall that the equation of an exponential graph is:

y = a(b)^{x}

We can see from the graph there is a y-intercept at y = 5. Plugging in 0 for x results in:

5 = a(b)^{0}\\\\5 = a(1)\\\\a = 5

Solve for b by plugging in another point on the graph:

10 = 5(b)^{-1}\\\\2 = b^{-1}\\\\b = 1/2

Write the final equation:

y = 5(\frac{1}{2})^{x}

6 0
3 years ago
There are 30 marbles in a bag. 24 of them are blue. What percentage of the marbles are blue?
lorasvet [3.4K]

Answer:

80%

Step-by-step explanation:

24/30 = x/100

100/30= 3 1/3

24 x 3 1/3= 80

3 0
3 years ago
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