MATHEMATICS HIGH SCHOOL

A rectangle has an area of 4x2 +19x + 12 and a length of (x + 4). What is the width?

Answers

Answer 1
Answer:

The width of the rectangle with an area x² = 19x + 12 is (4x + 3).

What are the area and perimeter of a rectangle?

The area of a rectangle is the product of its length and width.

The perimeter of a rectangle is the sum of the lengths of all the sides.

We know the area of a rectangle is (length×widh).

Given, A rectangle has an area of 4x² + 19x + 12 and a length of (x + 4).

∴ width of the rectangle is = (4x² + 19x + 12)/(x + 4).

Or, we know that the product of two linear equations is a quadratic so,

4x² + 19x + 12.

4x² + 16x + 3x + 12.

4x(x + 4) + 3(x + 4).

(x + 4)(4x + 3).

So, the width of the rectangle is (4x + 3).

learn more about quadratic equations here :

brainly.com/question/17177510

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Answer 2
Answer: The answer is (4x + 3) (x + 4)

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Where do I start because there are two pairs of parentheses but I think I state with division right?

Answers

You just do the inside of the parenthesis at the same time and then insert them into the equation. It doesn't matter which you do first, as long as they end up solved 

Gavin buys 89 blue pansies and 86 yellow pansies he will plant the flowers in 5 rows with an equal number of plants in each row how many plants will be in each row

Answers

Answer

Find out the  how many plants will be in each row.

To prove

Let us assume that the number of plants in each row be x.

As given

Gavin buys 89 blue pansies and 86 yellow pansies

he will plant the flowers in 5 rows with an equal number of plants in each row.

Total number of  flowers Gavin buys = 89 + 86

                                                              = 175


The number of plants in each row

x = (175)/(5)

x = 35

Therefore the number of plants in each row be 35 .

The Answer is 35 because if you divide 89 by 5 it gives you 17.8 and 86 by 5 gives you 17.2. When you round 17.2 it is still 17 and 17.8 is 18. And 17+18=35

35*5=175

89+86=175

Find all zeros (real and complex) for the function f(x)=x^3-5x^2+9x-5

Answers

f(x)=x^3-5x^2+9x-5\n f(x)=x^3-x^2-4x^2+4x+5x-5\n f(x)=x^2(x-1)-4x(x-1)+5(x-1)\n f(x)=(x-1)(x^2-4x+5)\n\n (x-1)(x^2-4x+5)=0\n\n x-1=0\n x=1\n\n x^2-4x+5=0\n x^2-4x+4+1=0\n (x-2)^2=-1\n x-2=i \vee x-2=-i\n x=2+i \vee x=2-i\n\n x=\{1,2-i,2+i\}

Choose a number between 61 and 107 that is a multiple of 4,5, and 10

Answers

4*5=20-is\ a\ multiple\ of\ 10\n\n20*4=\boxed{80}\n\n20*5=\boxed{100}
4|2 \n 2|2 \n 1 \n 4=2^2\n \n 5|5 \n 1 \n \n 10|2 \n 5 \ |5 \n 1 \n \n 10=2*5 \n \n \ [ 4;5;10 \ ]=2^2*5=4*5=20 \n \n 61 < M _(20) < 107 \n \n\boxed{ M_(20)= \{ 80;100 \}}

1) Find the simple interest on GH¢400.00 at a rate of 5% per annum for 2 years.2) Find the simple interest on GH¢6,000.00 at a rate of 12% per annum for 2 years.
3) Find the simple interest on GH¢500.00 at a rate of 3% per annum for 5 years.
4) Find the simple interest on GH$2,000.00 at a rate of 5% per annum for 4 years.
5) Find the simple interest on GH¢ 1,200.00 at a rate of 2%
dqper annum for 5 years.​

Answers

Answer:

Step-by-step explanation:

1. 5/100*400*2=40

2. 12/100*6000*2=1440

3. 3/100*500*5=75

4. 5/100*2000*4=400

5. 2/100*1200*5=120

[(7−5)÷12]×2
help quick

Answers

The first step for solving this expression is to subtract the numbers in the first set of parenthesis.
(2 ÷ 12) × 2
Now write the division as a fraction.
(2)/(12) × 2
Reduce the fraction with 2.
(1)/(6) × 2
Finally,, reduce the fraction with 2 one last time.
(1)/(3)
This means that the correct answer to your question is (1)/(3).
Let me know if you have any further questions.
:)
your answer would be 12
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