All categories

3 years ago

Factorise (m+3)^2 - 16

Mathematics

1 answer:

Akimi4 [234]3 years ago

5 0

(m + 3)^2 -16

=(m + 3)^2 - 4^2

=((m+3) + 4)*((m+3) - 4)

=(m+7)(m-1)

Here are the formulas i used:

so first i made 16 to 4^2, then i use (a^2 -b^2)= (a+b)(a-b) . In this case a would be (m+3) and b is 4.

You might be interested in

Based on the results from part C, which two statements correctly interpret actions the business should take? If material 2 is us

Serjik [45]

The profit function is the difference between the cost and the revenue functions.

The true statement is (a) If material 2 is used, Carrie will earn a profit if she sells chairs for more than $150 each.

<h3>How to determine the true profit functions</h3>

From the complete questions, the profit functions are calculated as follows:

<u>Material 1</u>

$P(x) = 5000000- 20000x - 200000x + 2000x^2$

$P(x) = 5000000-220000x + 2000x^2$

<u>Material 2</u>

$P(x) = 4000000 - 10000x - 160000x+ 1000x^2$

$P(x) = 4000000-170000x+ 1000x^2$

<u>Material 3</u>

$P(x) = 2000000 - 5000x - 54000x - 270x^2$

$P(x) = 2000000 -59000x - 270x^2$

Next, we test the options

Option 1: When material 2 is used

A price is greater than $150 is $151.

Calculate P(151) using $P(x) = 4000000-170000x+ 1000x^2$

So, we have:

$P(151) = 4000000-170000 * 151+ 1000* 151^2$

$P(151) = 1131000$

P(151) is greater than 0; this represents a profit

Hence, option (1) is true

Option 2: When material 1 is used

A price is less than $50 is $49.

Calculate P(49) using $P(x) = 5000000-220000x + 2000x^2$

So, we have:

$P(49) = 5000000-220000 * 49 + 2000* 49^2$

$P(49) =-978000$

P(49) is less than 0; this represents loss

Hence, option (2) is false

Option 3: When material 3 is used

Calculate P(45) and P(160) using $P(x) = 2000000 -59000x - 270x^2$

So, we have:

$P(45) = 2000000 -59000 * 45 - 270 * 45^2$

$P(45) = -1201750$

P(45) is less than 0; this represents loss

Hence, option (3) is false

Option 1: When material 2 is used

Calculate P(30) and P(120) using $P(x) = 4000000-170000x+ 1000x^2$

So, we have:

$P(30) = 4000000-170000*30+ 1000*30^2$

$P(30) = -200000$

P(30) is less than 0; this represents a loss

Hence, option (4) is false

Option 2: When material 1 is used

Calculate P(40) and P(70) using $P(x) = 5000000-220000x + 2000x^2$

So, we have:

$P(40) = 5000000-220000*40 + 2000*40^2$

$P(40) = -600000$

P(49) is less than 0; this represents loss

Hence, option (5) is false

The above means that:

The true statement is (a) If material 2 is used, Carrie will earn a profit if she sells chairs for more than $150 each.

Read more about revenue functions at:

brainly.com/question/25638609

6 0

2 years ago

For 3x^2+5x-2 state the domain and range

FromTheMoon [43]

Domain is all real numbers.

Range is all real numbers such that y is greater than -49/12

7 0

3 years ago

A 2,000 piece puzzle is in the shape of a trapezoid. The lengths of the bases are 7012 and 6512 inches long. The area of the puz

Sholpan [36]

Answer:

0.18

Step-by-step explanation:

Maths big brain

4 0

2 years ago

A sheep is bought for £40 and sold for £33. What is the percentage loss?

valkas [14]

Answer:

£13 %11

Step-by-step explanation:

4 0

2 years ago

Refer to the article "Fire Up the Sun."

Dmitry [639]

Based on the information given, it should be noted the central idea is C. Making and using a solar oven is a learning experience.

<h3>What is a central idea?</h3>

A central idea simply means the main idea that's in a literary work. It's the unifying element that's in a story.

The central idea is that making and using a solar oven is a learning experience and the detail that supports the central idea is that "by completing this project, you will make an inexpensive, ecologically friendly piece of equipment and learn about the science behind what you’re doing".

Learn more about central ideas on:

brainly.com/question/2684713

8 0

2 years ago

Factorise (m+3)^2 - 16​

Factorise (m+3)^2 - 16