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2 years ago

5

True or False: To factor a polynomial using the grouping method, factor out the common terms from the first two terms and then t

he last two terms in the polynomial.

1 answer:

yan [13]2 years ago

6 0

Consider the following x^4+5x^3+x^2+5x = x^3(x+5) and x(x+5) making your 2 factors (x+5) and (x^3 +x)

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X^2-4x+1=0 . RESOLVE PLS

Mkey [24]

$x^2-4x+1=0\\ x^2-4x+4-3=0\\ (x-2)^2=3\\ x-2=\sqrt 3\vee x-2=-\sqrt3\\ x=2+\sqrt 3\vee x=2-\sqrt3$

4 0

3 years ago

16. Solve the linear equation.<br><br> 12x– 2 = 2x + 18

tino4ka555 [31]

Answer:

x=2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

6 0

2 years ago

Read 2 more answers

James has a job with a current salary of $42,000. He wants to earn a college degree that will take him 2 years to complete and i

FinnZ [79.3K]

To recover the investment James will take $\boxed{2.5{\text{ years}}}.$

Further Explanation:

Given:

The current salary of James is $\$ 42000.$

The time taken to complete the college degree is $2{\text{ years}}.$

The cost of the college degree is $\$ 28000.$

The James’ new salary after college degree will be $\$ 56000.$

Calculation:

The total investment of James can be calculated as follows,

$\begin{aligned}{\text{Investment}} &= {\text{Salary of 2 years}} + {\text{2 years tuition fees}} \\&= 2 \times 42000 + 2 \times 28000\\&= 84000 + 56000\\&= \$ 140000\\\end{aligned}$

The total investment for 2 years will be $\$ 140000.$

The James’ new salary after college degree will be $\$ 56000.$

The time taken by James to recover $\$ 140000.$

$\begin{aligned}{\text{Time}} &= \frac{{140000}}{{56000}}\\&= 2.5{\text{ years}}\\\end{aligned}$

To recover the investment James will take $\boxed{2.5{\text{ years}}}.$

Learn more:

Learn more about inverse of the function brainly.com/question/1632445
Learn more about range and domain of the function brainly.com/question/3412497
Learn more about profit and loss brainly.com/question/2479097

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Investment and return

Keywords: James, job, current salary, salary, $42000, earn, college, college degree, 2 years, complete, graduation, cost, $28000, per year, investment, recover, new salary, work, able, school, full time.

6 0

3 years ago

Read 2 more answers

A cone has a diameter of 4 cm and a height that is 6 times the diameter. Using 3.14 for pi, which of the following can be used t

Triss [41]

Answer:

1/3(3.14)2^2(24)

Step-by-step explanation:

The volume of a cone is given by the formula;

1/3πr³

Considering the radius is 2 cm and the height is 24 cm (4 times the diameter).

Therefore;

Volume = 1/2(3.14)2²(24)

This can be used to calculate the volume.

3 0

2 years ago

A big movie theater had 1,200 seats. 864 of the total number of the seats were sold. what percentage of the seats was sold

Reil [10]

Answer:

72%.

Step-by-step explanation:

We have been given that a big movie theater had 1,200 seats. 864 of the total number of the seats were sold.

To find what percentage of the total seats were sold we will find 864 is what percent of 1200.

$\text{ Percentage of sold seats}=\frac{864}{1200}\times 100$

$\text{ Percentage of sold seats}=0.72\times 100$

$\text{ Percentage of sold seats}=72$

Therefore, 72% of the total seats were sold.

8 0

2 years ago