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2 years ago

Simplify the following expression. (3m-4)²+8(3m-2)

Mathematics

1 answer:

Leno4ka [110]2 years ago

3 0

Step-by-step explanation:

(3m-4)² + 8(3m-2) = (3m-4)(3m-4) + 24m - 16 =

= 9m² - 3m×4 - 4×3m + 16 + 24m - 16 =

= 9m² - 24m + 16 + 24m - 16 = 9m²

so, there is seemingly something missing in your original expression.

going from 9m², the most likely solution would be 9m/4 and therefore B.

but we cannot be sure, because again, I don't know what you left out in the beginning.

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HELPP ME PLEASE!!! (don’t answer if you don’t know/for points,or i’ll report you.)

Tpy6a [65]

Answer:

4) -15 + (3)

Step-by-step explanation:

1: -9-(-9) = -9-9 = 0

2: -2-(6) = -2-6 = -8

3: 15 + (-7) = 15 - 7 = 8

4: -15 + (-3) = -15-3 = -18

-18 is the smallest value

5 0

3 years ago

The area of a rectangle is 60 square inches. The length is x – 3, and the width is x + 8. Find the value of x, and the dimension

Vikki [24]

Answer:

x = 7

Length = 4 inches , Width = 15 inches

Step-by-step explanation:

PART 1 :

Area of rectangle = Length × Width

A = L × W

L = x - 3

W = x + 8

Therefore:

A = L × W

60 = ( x - 3 ) ( x + 8 )

( x - 3 ) ( x + 8 ) - 60 = 0

x^2 + 8x - 3x - 24 - 60 = 0

x^2 + 5x - 84 = 0

x^2 + 12x - 7x - 84 = 0

x ( x + 12 ) - 7 ( x + 12 ) = 0

( x + 12 ) ( x - 7 ) = 0

THEREFORE:

x = - 12 , x = 7

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

PART 2 :

L = x - 3

L = ( - 12 ) - 3

L = - 15

L = ( 7 ) - 3

L = 4

THEREFORE:

Length can not be a negative number. Hence, L can not equal to - 15.

L = 4 inches

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

W = x + 8

W = ( 7 ) + 8

THEREFORE:

W = 15 inches

5 0

4 years ago

Before a new variety of frozen muffins is put on the market, it is subjected to extensive taste testing.People are asked to tast

Greeley [361]

Answer:

An experimental study

Step-by-step explanation:

An experiment deliberately imposes some treatment on individuals in order to observe their responses.

An experimental studies formulates some conditions in order to make an inference. An observational study tries to gather information without disturbing the scene they are observing.

This is then an experiment because people are deliberately asked to taste two muffins and asked for their response.

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3 years ago

100 points help asap i'll give brain

sergey [27]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

If the set U = {all positive integers} and set A = {x|x ∈ U and x is an odd positive integer}, which describes the complement of

dlinn [17]

Answer: Choice D) set of even integers

=======================================================

Explanation:

U = universal set = {all positive integers} = {1, 2, 3, 4, 5, ...}

A = {stuff in set U that is odd} = {1, 3, 5, 7, 9, ...}

$A^c$ = {stuff in set U but NOT from set A} = {2, 4, 6, 8, ...}

$A^c$ = {set of even numbers from set U}

In set theory, the complement is simply the complete opposite. If the number 7 is found in set A for instance, then 7 is not going to live in the complement $A^c$

The opposite of the odd numbers is the set of even numbers.

Therefore, we go for choice D as our final answer.

Side note: if we union set A with its complement $A^c$ then we get the universal set as a result. $A \cup A^c = \text{universal set} = \text{set of all positive integers}$

5 0

3 years ago