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Zielflug [23.3K]
3 years ago
5

3x + y=11 -2x + y=1 Solve using substitution method

Mathematics
2 answers:
Alja [10]3 years ago
8 0

Step-by-step explanation:

here's the solution : -

=》3x + y = 11

=》y = 11 - 3x

now, plugging the value of y in equation 2

=》-2x + y = 1

=》-2x + 11 - 3x = 1

=》-5x = -10

=》x = 2

now, plugging the value of x as 2 in equation 1

=》3x + y = 11

=》6 + y = 11

=》y = 11 - 6

=》y = 5

nata0808 [166]3 years ago
6 0

Answer:

3x+yl=11

-2x+y=11

y=11-3x

-2x+11-3x=11

-5x=11-11

so x=0

y=11-0

y=11

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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Katena32 [7]

Answer:

(a)

5^{-3}=\frac{1}{125}

(b)

-5^{-3}=-\frac{1}{125}

(c)

(-5^{-3})^{-1}=-125

(d)

(-5^{-3})^{0}=1

Step-by-step explanation:

(a)

5^{-3}

we can use property of exponent

a^{-n}=\frac{1}{a^n}

we get

5^{-3}=\frac{1}{5^3}

5^{-3}=\frac{1}{5\times 5\times 5}

5^{-3}=\frac{1}{125}........Answer

(b)

-5^{-3}

we can use property of exponent

a^{-n}=\frac{1}{a^n}

we get

-5^{-3}=-\frac{1}{5^3}

-5^{-3}=-\frac{1}{5\times 5\times 5}

-5^{-3}=-\frac{1}{125}........Answer

(c)

(-5^{-3})^{-1}

we can use property of exponent

(a^{n})^m=a^{m\times n}

we get

(-5^{-3})^{-1}=(-5)^{-3\times -1}

(-5^{-3})^{-1}=(-5)^3

(-5^{-3})^{-1}=(-5)\times (-5)\times (-5)

(-5^{-3})^{-1}=-125........Answer

(d)

(-5^{-3})^{0}

we can use property of exponent

(a^{n})^m=a^{m\times n}

we get

(-5^{-3})^{0}=(-5)^{-3\times 0}

(-5^{-3})^{-1}=(-5)^0

we can use property

a^0=1

(-5^{-3})^{0}=1........Answer

4 0
3 years ago
A rectangle has an area 18sq cm.id its length and width are wjole numbera.what is its greatest possible perimeter
makkiz [27]

Answer:

38cm

Step-by-step explanation:

1. The perimeter of a square can be found with the formula2 \times (width + length)

2. Since its length and width are whole numbers, it must be either

1 x 18,

2 x 9 or

3 x 6

3. Using the formula in step 1, we can found that the perimeter in these cases are

38

22

18

respectively

4. Compare those perimeter we found in previous step, it's obvious that the greatest is 38. Solved.

3 0
3 years ago
The length of a text messaging conversation is normally distributed with a mean of 2 minutes and a standard deviation of .5 minu
Phoenix [80]
Let x be a random variable representing the length of a text messaging conversation, then
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6 0
3 years ago
Dane is investing $150,000 for 30 years at an annually compounded rate of 5.5%. What is the difference between his ending accoun
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<span>Total = 150,000 * (1.065) ^ 30
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Source:
http://www.1728.org/compint.htm
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3 years ago
Look at the picture! Express the following set in set-builder notation ?
Alex

Answer:

A.   E={x|x\in N and x is a multiple of 8}

Step-by-step explanation:

Let x represent the set of natural numbers. Then we can write;

x\in N.

The set of all natural numbers that are multiples of 8 is then written as;

x\in N and x is a multiple of 8.

E is the set of natural numbers that are multiples of 8 can then be written in set builder notation as;

E={x|x\in N and x is a multiple of 8}

The correct choice is A

7 0
3 years ago
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