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2 years ago

Find the product. Pls help lol

Mathematics

2 answers:

elena-s [515]2 years ago

7 0

Answer:

$6 {x}^{3} + 5 {x}^{2} - 16x + 15$

Step-by-step explanation:

$6 {x}^{3} - 9 {x}^{2} + 4 {x}^{2} - 6x - 10 x+ 15 \\ 6 {x}^{3} + 5 {x}^{2} - 16x + 15$

lions [1.4K]2 years ago

3 0

Use the distributive property: a (b + c) = ab + ac

(3x² + 2x - 5) (2x - 3) = 3x² (2x - 3) + 2x (2x - 3) - 5 (2x - 3)

... = (6x³ - 9x²) + (4x² - 6x) + (-10x + 15)

... = 6x³ - 5x² - 16x + 15

You might be interested in

If Chris has 2 times as many nickels as quarters and they have a combined value of 210 cents, how many of each coin does he have

BlackZzzverrR [31]

Im pretty sure she has 6 quarters and 12 nickels since it it twice as much.

$0.25 x 6 =150

$0.5 x 12 =60

total = 210

8 0

3 years ago

Help please (will chose brainliest)

goldfiish [28.3K]

Answer:

LEts start with 10^1

If we have positive exponent then we add zeros

10^1= 10

$10^2=100$ (Put 2 zeros because exponent is 2)

$10^3=1000$ (Put 3 zeros because exponent is 3)

$10^4=10000$ (Put 4 zeros because exponent is 4)

$10^5=100000$ (Put 5 zeros because exponent is 5)

For negative exponent , we make a fraction . we put 1 at the top always and number as the bottom

$10^{-1}=\frac{1}{10}$ (Put 1 zero at the bottom because exponent is -1)

$10^{-2}=\frac{1}{100}$ (Put 2 zeros at the bottom because exponent is -2)

$10^{-3}=\frac{1}{1000}$ (Put 3 zeros at the bottom because exponent is -3)

3 0

3 years ago

A. Do some research and find a city that has experienced population growth.

horrorfan [7]

A. The city we will use is Orlando, Florida, and we are going to examine its population growth from 2000 to 2010. According to the census the population of Orlando was 192,157 in 2000 and 238,300 in 2010. To examine this population growth period, we will use the standard population growth equation $N_{t} =N _{0}e^{rt}$
where:
$N(t)$ is the population after $t$ years
$N_{0}$ is the initial population
$t$ is the time in years
$r$ is the growth rate in decimal form
$e$ is the Euler's constant
We now for our investigation that $N(t)=238300$ , $N_{0} =192157$ , and $t=10$ ; lets replace those values in our equation to find $r$ :
$238300=192157e^{10r}$
$e^{10r} = \frac{238300}{192157}$
$ln(e^{10r} )=ln( \frac{238300}{192157} )$
$r= \frac{ln( \frac{238300}{192157}) }{10}$
$r=0.022$
Now lets multiply $r$ by 100% to obtain our growth rate as a percentage:
$(0.022)(100)$ =2.2%
We just show that Orlando's population has been growing at a rate of 2.2% from 2000 to 2010. Its population increased from 192,157 to 238,300 in ten years.

B. Here we will examine the population decline of Detroit, Michigan over a period of ten years: 2000 to 2010.
Population in 2000: 951,307
Population in 2010: 713,777
We know from our investigation that $N(t)=713777$ , $N_{0} =951307$ , and $t=10$ . Just like before, lets replace those values into our equation to find $r$ :
$713777=951307e^{10r}$
$e^{10r} = \frac{713777}{951307}$
$ln(e^{10r} )=ln( \frac{713777}{951307} )$
$r= \frac{ln( \frac{713777}{951307}) }{10}$
$r=-0.029$
$(-0.029)(100)$ = -2.9%.
We just show that Detroit's population has been declining at a rate of 2.2% from 2000 to 2010. Its population increased from 192,157 to 238,300 in ten years.

C. Final equation from point A: $N(t)=192157e^{0.022t}$ .
Final equation from point B: $N(t)=951307e^{-0.029t}$
Similarities: Both have an initial population and use the same Euler's constant.
Differences: In the equation from point A the exponent is positive, which means that the function is growing; whereas, in equation from point B the exponent is negative, which means that the functions is decaying.

D. To find the year in which the population of Orlando will exceed the population of Detroit, we are going equate both equations $N(t)=192157e^{0.022t}$ and $N(t)=951307e^{-0.029t}$ and solve for t:
$192157e^{0.022t} =951307e^{-0.029t}$
$\frac{192157e^{0.022t} }{951307e^{-0.029t} } =1$
$e^{0.051t} = \frac{951307}{192157}$
$ln(e^{0.051t})=ln( \frac{951307}{192157})$
$t= \frac{ln( \frac{951307}{192157}) }{0.051}$
$t=31.36$
We can conclude that if Orlando's population keeps growing at the same rate and Detroit's keeps declining at the same rate, after 31.36 years in May of 2031 Orlando's population will surpass Detroit's population.

E. Since we know that the population of Detroit as 2000 is 951307, twice that population will be $2(951307)=1902614$ . Now we can rewrite our equation as: $N(t)=1902614e^{-0.029t}$ . The last thing we need to do is equate our Orlando's population growth equation with this new one and solve for t:
$192157e^{0.022t} =1902614e^{-0.029t}$
$\frac{192157e^{0.022t} }{1902614e^{-0.029t} } =1$
$e^{0.051t} = \frac{1902614}{192157}$
$ln(e^{0.051t} )=ln( \frac{1902614}{192157} )$
$t= \frac{ln( \frac{1902614}{192157}) }{0.051}$
$t=44.95$
We can conclude that after 45 years in 2045 the population of Orlando will exceed twice the population of Detroit.

8 0

4 years ago

a rectanglar solid has a base with lint 2 cm and width 8 cm. If the volume of the solid is 106 cm 3 to the highest, find the hei

Vanyuwa [196]

The hint says that volume of a rectangular solid = l*w*h, where l = length, w = width, and h = height. Use this to solve for the height of the solid by plugging in the numbers you know.

You know that length, l = 2cm, width, w = 8cm, and, *EDITED* volume = 160 cm^3. Plug these values into the equation for volume (the hint) and solve for h, the height:
Volume = lwh
160 = (2)(8)(h)
160 = 16h
h = 10cm

-------

Answer: The height is 10 cm

4 0

3 years ago

Read 2 more answers

(Will give brainliest if asked for)

GarryVolchara [31]

A. x <= -12

<u>Explanation:</u>

-3x >= 36

-x >= 36/ 3

-x > = 12

x < = -12

When the negative sign is shifted then the greater than equal to sign reverses to less than equal to.

Therefore, x <= -12

7 0

4 years ago