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Drupady [299]
4 years ago
5

Factor out the greatest common factor of the expression below using the distributive property.

Mathematics
2 answers:
Umnica [9.8K]4 years ago
6 0
Greatest common factor which is 30
sashaice [31]4 years ago
4 0
It's a. Because 30 is the highest number that works out of those. (Also 3 and 2 are prime so it can't get smaller than that:) If you need an explanation of how this works, just ask. Hope it helps:)  <span />
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What is the solution of the system of equations?
Elis [28]

Answer:

The answer to your question is:

x = 4

y = -1

z = -3

Step-by-step explanation:

                                  3 x + 2 y + z = 7

                                  5 x + 5 y + 4 z = 3

                                  3 x + 2 y + 3 z = 1

\left[\begin{array}{ccc}3&2&1\\5&5&4\\3&2&3\end{array}\right]

= 45 + 10 + 24 - (30 + 24 + 15)

= 79 - 69

Δ = 10

\left[\begin{array}{ccc}7&2&1\\3&5&4\\1&2&3\end{array}\right]

= 105 + 6 + 8 - (18 + 56 + 5)

= 119 - 79

Δx = 40

\left[\begin{array}{ccc}3&7&1\\5&3&4\\3&1&3\end{array}\right]

= 27 + 5 + 84 - ( 105 + 12 + 9)

= 116 - 126

Δy = -10

\left[\begin{array}{ccc}3&2&7\\5&5&3\\3&2&1\end{array}\right]

= 15 + 70 + 18 - (10 + 18 + 105)

= 103 - 133

= -30

Δz = -30

x = Δx /Δ = 40/10 = 4

y = Δy/Δ = -10/10 = -1

z = Δz/Δ = -30/10 = -3

8 0
3 years ago
Read 2 more answers
Using FOIL method. Multiply the terms. (X^2 -7)(x^2 -4)
murzikaleks [220]

Answer:

x^4-11x^2+28

Step-by-step explanation:

  1. Set it up

x^2(x^2-4) -7(x^2-4)

    2. Multiply

x^4-4x^2-7x^2+28

    3. Simplify

x^4-11x^2+28

4 0
3 years ago
Evaluate -2 with an exponent of 3
zheka24 [161]
When raised to the third power, it is the number times itself three times.

-2(-2) = 4

4(-2) = -8
6 0
3 years ago
Read 2 more answers
Express 10.9090909091... as a rational number, in the form pq where p and q are positive integers with no common factors.
Alexeev081 [22]
Firts, Let x be the repeated decimal that we are trying to convert , so x=10.9090909090 equation (1)

Next, lets find how many digits are repeating:
It is pretty cleat that 90 is repeating, and 90 has two digits. So we are going to multiply our equation by 100 to move the decimal point two places:
100x=1090.90909090 (2)

Subtract equation (1) from equation (2):
100x-x=1090.90909090-10.90909090
99x=1080

Solve for x
x= \frac{1080}{99}

We can conclude that 10.9090909091... expressed as a rational number, i<span>n the form pq where p and q are positive integers with no common factors, is </span>\frac{1080}{99}.
4 0
3 years ago
Anyone wanna help thank you
vova2212 [387]

The First two coefficients are positive because they are on the positive side of the y-axis.

The Last two are on the negative side of the y-axis. B is the closest to zero as the wider the graph is, the lower the coefficient is.

The coefficient with the greatest value would be D

6 0
3 years ago
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