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3 years ago

Multiply (x+2)(x2−3x +4)

Mathematics

1 answer:

stepladder [879]3 years ago

7 0

Step-by-step explanation:

Using FOIL, we have

(x + 2)(x² - 3x + 4)

= (x³ - 3x² + 4x) + (2x² - 6x + 8)

= x³ - x² - 2x + 8.

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A=(-2,-7) B=(-6,4) C=(-2,7) D=(2,4) What is the perimeter?

Nata [24]

$\displaystyle\bf\\AB=\sqrt{\Big(-6-(-2)\Big)^2+\Big(4-(-7)\Big)^2}\\\\AB=\sqrt{\Big(-6+2\Big)^2+\Big(4+7\Big)^2}\\\\AB=\sqrt{\Big(-4\Big)^2+\Big(11\Big)^2}\\\\AB=\sqrt{16+121}\\\\\boxed{\bf AB=\sqrt{137}}$

$\displaystyle\bf\\BC=\sqrt{\Big(-2-(-6)\Big)^2+\Big(7-4\Big)^2}\\\\BC=\sqrt{\Big(-2+6\Big)^2+\Big(7-4\Big)^2}\\\\BC=\sqrt{\Big(4\Big)^2+\Big(3\Big)^2}\\\\BC=\sqrt{16+9}\\\\BC=\sqrt{25}\\\\\boxed{\bf BC=5}$

$\displaystyle\bf\\CD=\sqrt{\Big(2-(-2)\Big)^2+\Big(4-7\Big)^2}\\\\CD=\sqrt{\Big(2+2\Big)^2+\Big(4-7\Big)^2}\\\\CD=\sqrt{\Big(4\Big)^2+\Big(-3\Big)^2}\\\\CD=\sqrt{16+9}\\\\CD=\sqrt{25}\\\\\boxed{\bf CD=5}$

$\displaystyle\bf\\AD=\sqrt{\Big(2-(-2)\Big)^2+\Big(4-(-7)\Big)^2}\\\\AD=\sqrt{\Big(2+2\Big)^2+\Big(4+7\Big)^2}\\\\AD=\sqrt{\Big(4\Big)^2+\Big(11\Big)^2}\\\\AD=\sqrt{16+121}\\\\\boxed{\bf AD=\sqrt{137}}$

$\displaystyle\bf\\P=AB+BC+CD+AD=\sqrt{137}+5+5+\sqrt{137}\\\\\boxed{\bf P=10+2\sqrt{137}}$

4 0

3 years ago

Use the distributive property to write an equivalent expression for each expression below.

IRINA_888 [86]

A.36x-27y-6

B.12x-6y+2

3 0

4 years ago

Following a group of truck drivers and noting the number of miles traveled for one year refers to which type of statistical stud

maria [59]

Considering that the data is only noted and not changed, this is an example of an observational study.

<h3>What are observational and experimental studies?</h3>

Experimental study: In an experimental study, there is an intervention in a sample, and it's effect is studied.

Observational study: In an observational study, the sample is just analyzed, without any intervention.

In this problem, the data, which is the number of miles traveled, is only analyzed, no interventions are made, hence this is an example of an observational study.

More can be learned about observational studies at brainly.com/question/24321224

#SPJ1

6 0

2 years ago

Kiara opened an RRSP deposit account on December 1, 2008 with a deposit of $1,700. She added $1,700 on January 1, 2010, and $1,7

Angelina_Jolie [31]

Answer:

The total balance on December 1, 2016 is B = $7356.28

Step-by-step explanation:

I am going to call B1 the balance for the first deposit, B2 the balance for the second deposit and B3 for the third deposit.

This is a compound interest problem.

The compound interest formula is given by:

$A = P(1 + \frac{r}{n})^{nt}$

A: Amount of money(Balance)

P: Principal(Initial deposit)

r: interest rate(as a decimal value)

n: number of times that interest is compounded per unit t

t: time the money is invested or borrowed for.

First step: Balance B1 on December 1, 2016

A = amount of money = B1

P = 1,700

r = 0.056

n = 12(compounded mothly, and t is in years)

t = 8 years

$B1 = 1700(1 + \frac{0.056}{12})^{96}$

$B1 = $2658.17$

Second step: Balance B2 on December 1, 2016

A = B3

P = 1,700

r = 0.056

n = 12(compounded mothly, and t is in years)

t: From January 1, 2010 to December 1, 2016 there are 6 years and 11 months. 11 months is 0.92 of a year. So

t = 6.92

$B2 = 1700(1 + \frac{0.056}{12})^{83.04}$

$B2 = $2502.39$

Third step: Balance B3 on December 1, 2016

A = B3

P = 1700

r = 0.056

n = 12

t: 4 years and 7 months. 7 months is 7/12 = 0.58. So t = 4.58 years.

$B3 = 1700(1 + \frac{0.056}{12})^{54.96}$

$B3 = $2195.72$

Final step: Total balance on December 1, 2016

B = 2195.72 + 2502.39 + 2658.17

B = $7356.28

So the total balance on December 1, 2016 is B = $7356.28

6 0

4 years ago

X^2 when x=5 how to work it out

HACTEHA [7]

Answer:

x^2 = 5^2 = 25

3 0

3 years ago

Read 2 more answers