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3 years ago

Which expression is equivalent to the given expression? (3m-4) (375)

Mathematics

1 answer:

Brilliant_brown [7]3 years ago

3 0

9514 1404 393

Answer:

D. 81/m^7

Step-by-step explanation:

The applicable rules of exponents are ...

(ab)^c = (a^c)(b^c)

(a^b)^c = a^(bc)

(a^b)(a^c) = a^(b+c)

a^-b = 1/a^b

Using these, your expression simplifies to ...

$(3m^{-4})^3(3m^5)=(3^3)(3)(m^{-4\cdot3+5})=81m^{-7}=\boxed{\dfrac{81}{m^7}}$

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What method would be best to use 53=4(x-3)^2-11

Veronika [31]

Answer:

x = 7 , -1

Step-by-step explanation:

<u>SOLUTION :-</u>

$4(x-3)^2-11 = 53$

Add 11 to both the sides.

$=> 4(x-3)^2-11+11=53+11$

$=> 4(x-3)^2 = 64$

Divide both the sides by 4.

$=> \frac{4(x-3)^2}{4} = \frac{64}{4}$

$=> (x-3)^2 = 16$

Root square both the sides.

$=> \sqrt{(x-3)^2} = \sqrt{16}$

$=> x-3 = +4 \; or -4$

Here , x will have two values -

1) $x-3 = 4$

$=> x = 4 + 3 = 7$

2) $x - 3 = -4$

$=> x = -4 + 3 = -1$

<u>VERIFICATION :-</u>

When x = 7 ,

$4(x-3)^2 - 11 = 4(7 - 3)^2 - 11$

$= 4 \times 4^2 - 11$

$= 4 \times 16 - 11$

$= 64 - 11$

$= 53$

When x = -1 ,

$4(x-3)^2 - 11 = 4(-1 - 3)^2 - 11$

$= 4 \times (-4)^2 - 11$

$= 4 \times 16 - 11$

$= 64 - 11$

$= 53$

7 0

3 years ago

What is the value of x and y please explain will give brainliest if you give me a good explanation!!

stellarik [79]

X = 30
y = 120

30 x 4 = 120
120 + 120 = 240
240 + 120 = 360

8 0

2 years ago

Read 2 more answers

Evaluate the following.<br><br> [-14]=<br><br> [15]=

____ [38]

I am sure that this problem cannot be solved.

6 0

3 years ago

Read 2 more answers

The length of one side of a triangle is 2 feet less than three times the length of its second side. The length of the third side

Zanzabum

Using a system of equations, it is found that the lengths of the sides of the triangle are given as follows:

0.91 feet, 0.73 feet, 1.23 feet.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are the lengths, given by x, y and z.

The length of one side of a triangle is 2 feet less than three times the length of its second side, hence:

y = 3x - 2.

The length of the third side is 3/4 of the sum of the lengths of the first two sides, hence:

$z = \frac{3(x + y)}{4} = \frac{3(4x - 2)}{4}$

The perimeter of the triangle is 17.5 feet, hence:

$x + y + z = 17.5$

$x + 3x - 2 + \frac{3(4x - 2)}{4} = 17.5$

$4x + \frac{3(4x - 2)}{4} = 19.5$

$16x + 12x = 25.5$

x = 25.5/28

x = 0.91.

Then the other sides are:

y = 3x - 2 = 3(0.91) - 2 = 0.73 feet.

$z = \frac{3(4 x 0.91 - 2)}{4} = 1.23 feet$

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

4 0

2 years ago

Please help me out!!!!!!!!!!!!!

Olenka [21]

The equation given means it wants you to solve in the format y=mx+b, for a line. You can also know that by comparing the difference between each y-coordinates.

m is the slope. b is the y intercept (where x is zero, which is on the table).

The answer is y=6x-2

6 0

3 years ago