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Liono4ka [1.6K]

2 years ago

7

The coefficient of x in the expansion of the following is (x+3)^3 a) 1 b) 3 c) 18 d) 27 e) 9

1 answer:

VashaNatasha [74]2 years ago

3 0

Answer:

d) 27

Step-by-step explanation:

The expanded form of (a+b)³ is ...

(a +b)³ = a³ +3a²b +3ab² +b³

When we are expanding (x +3)³, the x-term is ...

3(x)(3²) = 27x

The coefficient of x in the expansion is 27.

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Use substitution to solve the following system of linear equations and fill in the following blanks:

marissa [1.9K]

Answer:

$x=-4$

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Step-by-step explanation:

<u>Given:</u>

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$x-6y-7z=-29$

$-7y-5z=4$

<u>Solve for </u> $x$ <u> in the 1st equation:</u>

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$x+y=-z-6$

$x=-y-z-6$

<u>Substitute the value of </u> $x$ <u> into the 2nd equation and solve for </u> $z$ <u>:</u>

$x-6y-7z=-29$

$(-y-z-6)-6y-7=-29$

$-7y-z-13=-29$

$-7y-z=-16$

$-z=-16+7y$

$z=16-7y$

<u>Substitute the value of </u> $z$ <u> into the 3rd equation and solve for </u> $y$ <u>:</u>

$-7y-5z=4$

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$-7y-80+35y=4$

$28y-80=4$

$28y=84$

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$z=16-7(3)$

$z=16-21$

$z=-5$

<u>Plug </u> $z=-5$ <u> into the solved expression for </u> $x$ <u> and evaluate to solve for </u> $x$ <u>:</u>

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$x=-3+5-6$

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Therefore:

$x=-4$

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6 0

2 years ago

The length of the rectangle is 9 inches. The area is 72 square inches. What is the width of the rectangle?

mote1985 [20]

Answer:

8

Step-by-step explanation:

Formula for area = Length times width

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Double check: 9(length) x 8 (width) = 72 (area).

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Hope this helped! If it did, please give brainliest! :)

4 0

2 years ago