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3 years ago

Common Core Algebra 1 - MAZINS ATC

Mathematics

1 answer:

katen-ka-za [31]3 years ago

4 0

200=x-4 original equation
204=x addition property of equality (add 4 on both sides)
x=204 symmetric property

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Solve the inequality for w. w-7<21

Radda [10]

Add 7 to each side of the inequality.

w < 28.

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2 years ago

Which formula does NOT describe the sequence 8, 6, 3, –1, –6, … ?

Lapatulllka [165]

<span> To get an explicit formula, we need to find an expression which gives the n-th term without having to compute earlier terms in the sequence. Looking at the numbers, and from the recursive formula, we see that the sequence is built by subtracting n from the previous term. This is similar to the triangular number sequence 1,3,6,10,15,... which has the explicit formula a_n = n(n+1)/2. In our case we are subtracting n from the previous term, so we multiply by -1/2 instead of 1/2. However, we also need to add a constant term to reproduce the numbers of the sequence. We can write a_1 = -1(2)/2 + c = 8. Therefore, c = 9.
So the explict formula is:
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3 years ago

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Marlena has 3 straws. Two straws have the lengths shown. She does not know the length of the shortest straw, but when she forms

swat32

The correct answer to this is 5,6,7, good luck

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3 years ago

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I need to make a matrix in reduced row echelon form

a_sh-v [17]

Let the three apartments be A, B & C

The rent of A is $x

The rent of B is $y

The rent of C is $z

So x + y + z = 1600 .......(1)

Now

Maintenance of A is 20% of x = 0.20x

Maintenance of B is 20% of y = 0.20y

Maintenance of C is 25% of z = 0.25z

0.20x + 0.20y + 0.25z = 345

Multiplying by 100 we get

20x + 20y + 25 z = 34500

Dividing by 5 we get

4x + 4y + 5z = 6900 .......(2)

Monthly fee of A is 10% of x = 0.10x

Monthly fee of B is 20% of y = 0.20 y

Monthly Fee of C is 10% of z = 0.10z

Now

0.10x + 0.20y + 0.10 z= 1820 - 1600

0.10x + 0.20y + 0.10z = 220

Multiplying by 100 we get

10x + 20y + 10z = 22000

Dividing by 10

x + 2y + z = 2200 ....(3)

Making a Matrix of equation (1), (2) & (3)

$\left[\begin{array}{ccc}1&1&1\\4&4&5\\1&2&1\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{c}1600\\6900\\2200\end{array}\right]$

is the required matrix

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3 years ago

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Multiply.write product as a mixed number.

MakcuM [25]

Answer: 12x5

Step-by-step explanation:

2 =1 5= 12x5

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3 years ago