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atroni [7]
3 years ago
15

Graph the system of equations. Then determine whether the system has no solution, one solution, or infinitely many solutions. If

the system has one solution, name it.
y = -x + 5
y = x - 3

a) one solution; (1, 4)
b) infinitely many
c) no solution
d) one solution; (4, 1)

Mathematics
1 answer:
natima [27]3 years ago
6 0

Answer:

  d)  one solution; (4, 1)

Step-by-step explanation:

It often works well to follow problem directions. A graph is attached, showing the one solution to be (4, 1).

_____

You know there will be one solution because the lines have different slopes. Each is in the form ...

  y = mx + b

where m is the slope and b is the y-intercept.

The first line has slope -1 and y-intercept +5; the second line has slope 1 and y-intercept -3. The slope is the number of units of "rise" for each unit of "run", so it can be convenient to graph these by starting at the y-intercept and plotting points with those rise and run from the point you know.

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What is the product?<br> (38b* )-822
sergey [27]

Answer:

\boxed{\sf D)\:-24a^3b^7}

Step-by-step explanation:

\sf (3a^2b^4)(-8ab^3)

We'll use rule of exponents to simplify expression.

\sf 3^1a^2b^4(-8)^1a^1b^3

Now, use the commutative property of multiplication.

\sf 3^1(-8)^1a^2a^2b^4b^4

In order to multiply power of the same base, we add their exponents.

\sf 3^2(-8)^1a^{2+1}b^{4+3}

→ Add exponents:

\sf 3^1(-8)^1a^3b^7

→ Multiply 3* -8

\sf -24a^3b^7

__________________________________________

8 0
2 years ago
The walls of a farm silo form a hexagonal prism as shown. What is the volume of the​ silo?
Valentin [98]
I think this is what you meant you meant silo or Solid if you meat solid the answer is there in the picture

3 0
3 years ago
413 divided by 14 <br> How do you it?
guajiro [1.7K]
You can either do this on the calculator, or in your head. As its a larger number, it is worth doing it on the calculator.
413/14= 29.5
The alternative method is to list all of the tens multiples, and the smaller multiples when you're getting close to the answer, and this will be able to help you.
14x10= 140
14x20=280
14x30= 420 (which is slightly too big)
14x29= 406 (slightly too small)
14x29.5= 413

Hope this helps :)
5 0
3 years ago
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myrzilka [38]

Answer:

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Step-by-step explanation:

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Graph the system of equations. Then determine whether the system has no solution, one solution, or infinitely many solutions. If
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Answer:

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Step-by-step explanation:

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