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3 years ago

Use substitution to write an equivalent quadratic equation (3x + 2) ^2 + 7(3x+2) - 8= 0

Mathematics

2 answers:

Sindrei [870]3 years ago

6 0

Answer Step-by-step explanation:

Let z = 3x +2. Then the equivalent quadratic equation can be written as

z² +7z -8 = 0

_____

This can be factored as

(z -1)(z +8) = 0

which has solutions

z = {1, -8}.

Then the corresponding values of x are found from

z = 3x +2

z -2 = 3x

(z -2)/3 = x

For z = 1,

(1 -2)/3 = x = -1/3

For z = -8

(-8 -2)/3 = x = -10/3

ElenaW [278]3 years ago

3 0

Answer:u^2+7u-8=0 where u=3x=2

Step-by-step explanation:

edge

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The height of an experimental plant after x days can berepresented by the formula 3(4x+2). The height of a second plant can be r

NikAS [45]

Answer: No

Step-by-step explanation:

The question is whether 3(4x+2) could ever equal 6(2x+2). So let's set them equal to each other and find if there is a value of x, the days, where they are equal.

3(4x+2) = 6(2x+2)

12x + 6 = 12x+2

6 = 12?? No

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3 years ago

If a musician uses his credit card to pay for a new violin that costs $2,900 and does not pay on it until the second month, what

xenn [34]

Solution:

1. Cost of a new Violin that is bought by the musician = $ 2900

Monthly interest charge = 3.35 %

If you will find the compound interest or simple interest for a month, they both will be same for a month.

Simple interest =

$\frac{Principal \times Rate \times Time}{100}$

$=\frac{2900 \times 3.35 \times 1}{ 100}\\\\ =29 \times 3.35\\\\ =97.15$

Interest paid at the end of first month = $ 97.15

2. Loan Amount = $ 3,500

Annual interest = 8 %

Time period = 2 years= 24 months

As , we have to find the total payback for two years, at 8% annual interest with monthly payments .we will use the formula of Amount in terms of compound interest here.

Formula for Amount

Amount= $Principal (1 +\frac{Rate}{100})^{time}]$

$=3500 \times [(1+\frac{8}{1200})^{24}]\\\\ = 3500 \times [(1.0066)^{24}]\\\\= 3500 \times 1.1710 \\\\ =4098.58$

Total payback after 2 years = $ 4098.58

3 0

4 years ago

An apartment building produces $4,000 per quarter in gross rents. The maintenance expenses run $350 per month. Property taxes ar

erica [24]

Answer:

0.16%

Step-by-step explanation:

Cost of rent per quarter = $4000

Cost of rent per year = 4×$4000

= $16,000

This means that the apartment building produces $12,000 per year in gross rents.

Yearly Expenses are as follows;

Maintenance expenses per year = 12×$350 = $4200

Property taxes per year = $1,750

Mortgage payment per year = 12×$650 = $7800

Total expenses per year = sum of all the yearly expenses

= $4200+$1,750+$7800

= $13750

Yearly revenue generated = Cost of rent per year - total yearly expenses

= $16,000-$13750

= $2250 (net operating income)

Capitalization rate is given as the ratio of the net operating income to the market value of the building.

Capitalization rate = net operating income/market value of building

Since the building with $83750, that will be its market value

Cap rate = $13750/$83750

Cap rate = 0.16%

6 0

4 years ago

I love you all thnx for the support <333

ehidna [41]

Answer:

Step-by-step explanation:

Thanks for the points:)

8 0

3 years ago

Read 2 more answers

What is the expression in factored form?

DerKrebs [107]

X^2+14x+48
=x^2+(6+8)x+48 
=x^2+6x+8x+48 
x(x+6)+8(x+6) 
(x+6)(x+8) [Ans]
the answer is D

5 0

3 years ago