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2 years ago

Are 4(a - 3) and 4a - 7 equivalent expressions?

Mathematics

2 answers:

Anarel [89]2 years ago

7 0

Answer:

Yes

Step-by-step explanation:

Given expression: 3x+9

Take 3 outside from the expression, we get,

= 3(x+3), which is called the equivalent expression

spin [16.1K]2 years ago

4 0

Answer:

Step-by-step

We have to multiply the 4 by both the a and the 3 since there a parenthesis around them. This would of course be distributive property. Since you don't know what a is, it would just be 4a and since we can multiply 4 and 3 that would be 12. So, 4(a - 3) is equivalent to 4a - 12.

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fiasKO [112]

The original perimeter is 32ft.
The dimensions of the new rectangle are 72 ft wide and 24 ft long.
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When the dimensions are multiplied by 6, the perimeter also multiplied by 6.

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2 years ago

A bowling ball is pushed with a force of 22.0 N and accelerates at 5.5 m/s2. What is the mass of the bowling ball? Ik the answer

KiRa [710]

Step-by-step explanation:

You should always use the least number of significant figures. The exception is exact numbers or constants.

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3 years ago

Write an expression, using an exponent, that is equivalent to 9\times 9\times 9\times 9\times 9\times 9\times 99×9×9×9×9×9×9

jeka57 [31]

Nine to the eighth power

7 0

2 years ago

Read 2 more answers

solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations. x-2y+

Alekssandra [29.7K]

Answer:

x = -5, y = -6, z = -3

Step-by-step explanation:

Given the system of three equations:

$\left\{\begin{array}{l}x-2y+3z=-2\\6x+2y+2z=-48\\x+4y+3z=-38\end{array}\right.$

Write the augmented matrix for the system of equations

$\left(\begin{array}{ccccc}1&-2&3&|&-2\\6&2&2&|&-48\\1&4&3&|&-38\end{array}\right)$

Find the reduced row-echelon form of the augmented matrix for the system of equations:

$\left(\begin{array}{ccccc}1&-2&3&|&-2\\6&2&2&|&-48\\1&4&3&|&-38\end{array}\right)\sim \left(\begin{array}{ccccc}1&-2&3&|&-2\\0&-14&16&|&36\\0&-6&0&|&36\end{array}\right)\sim \left(\begin{array}{ccccc}1&3&-2&|&-2\\0&16&-14&|&36\\0&0&-6&|&36\end{array}\right)$

Thus, the system of three equations is

$\left\{\begin{array}{r}x+3z-2y=-2\\16z-14y=36\\-6y=36\end{array}\right.$

From the last equation:

$y=-6$

Substitute it into the second equation:

$16z-14\cdot (-6)=36\\ \\16z=36-84\\ \\16z=-48\\ \\z=-3$

Substitute y = -6 and z = -3 into the first equation:

$x+3\cdot (-3)-2\cdot (-6)=-2\\ \\x=-2+9-12\\ \\x=-5$

7 0

3 years ago

From the beginning of cross country season to the end , Trisha reduced her time by 17 % , Anchara reduced hers by 4/25 , and Jua

kati45 [8]

Trisha - 17 percent
Anchara - 4/25 = 0.16 = 16 percent
Juanita - 16 - 13.3 = 2.7 2.7/16 (since 16 is the total) = 0.16875 = 16.875 percent

So Trisha reduced her time by the greatest percent (17)

8 0

2 years ago