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3 years ago

14

Divide. (3a3 + 6a2) ÷ 3a how do I do this?

1 answer:

yuradex [85]3 years ago

6 0

$\frac{ 3a^3 + 6a^2 }{3a}=\frac{3a ( a^2 + 2a ) }{3a}= a^2 + 2a =a(a+2)$

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Given the data points, (x, y) of a linear function: (2, 11), (4, 10), (6, 9), (12, 6), what is the function? What is the slope?

NeX [460]

Answer:

The function is $y~=~12 ~-~ 0.5 \cdot x$ .

The slope is $m=-0.5$ .

The y-intercept is $b=12$ .

Step-by-step explanation:

Our aim is to calculate the values <em>m</em> (slope) and <em>b</em> (y-intercept) in the equation of a line :

$y=mx+b$

We have the following data:

$\begin{array}{c|cccc}x&2&4&6&12\\y&11&10&9&6\end{array}$

To find the line of best fit for the points given, you must:

Step 1: Find $X\cdot Y$ and $X\cdot X$ as it was done in the table below.

Step 2: Find the sum of every column:

$\sum{X} = 24 ~,~ \sum{Y} = 36 ~,~ \sum{X \cdot Y} = 188 ~,~ \sum{X^2} = 200$

Step 3: Use the following equations to find <em>b</em> and <em>m</em>:

$\begin{aligned} b &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 36 \cdot 200 - 24 \cdot 188}{ 4 \cdot 200 - 24^2} \approx 12 \\ \\m &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 4 \cdot 188 - 24 \cdot 36 }{ 4 \cdot 200 - \left( 24 \right)^2} \approx -0.5\end{aligned}$

Step 4: Assemble the equation of a line

$\begin{aligned} y~&=~b ~+~ m \cdot x \\y~&=~12 ~-~ 0.5 \cdot x\end{aligned}$

The graph of the regression line is:

5 0

3 years ago

Tickets to Disney World are $100..The price is going to increase on January ,What is the cost percentage of change if the cost i

bearhunter [10]

Answer:

I am not so sure but if I were to choose it went up from an 200% increase.

Step-by-step explanation:

8 0

3 years ago

Randall wants to buy a pizza. He can select from 5 different sizes, 4 types of crust, and 12 toppings for his pizza. Which of th

hjlf

Answer:

240

Step-by-step explanation:

5x4x12=240

if you multiply the amount of sizes he can get times the amount of crust sizes he can get you get the pizza it's self (20)

now including the toppings (12) this means 20x12 gets you the amount of toppings on those induviduale pizza's.

Hope this helps!

Brainliest please!

Please fully rate!

Have a great day!

8 0

2 years ago

Read 2 more answers

If (3a + 3b + 1) (3a + 3b - 1) = 80, then a + b =

seropon [69]

Answer:

a+b = 4 $\sqrt{3}$

Step-by-step explanation:

3(a + b)^2 = 81

(a + b)^2 = 27

a + b = sq rt 27

a + b = $\sqrt{9}$ · $\sqrt{3}$

a + b = 3 $\sqrt{3}$

8 0

3 years ago

Select the correct answer. A model rocket was launched from the top of a building. The rocket's approximate height can be modele

garri49 [273]

Answer:

13 seconds.

Step-by-step explanation:

Given

$h = -4.9(t - 13)(t + 2).$

Required

Determine a reasonable solution for t

To do this, we equate h to 0.

$h = -4.9(t - 13)(t + 2).$ becomes

$0 = -4.9(t - 13)(t + 2).$

Divide through by -4.9

$0 = (t - 13)(t + 2).$

Reorder the expression

$(t - 13)(t + 2) = 0.$

Split

$t-13 = 0$ or $t + 2 = 0$

This gives:

$t = 13$ or $t = -2$

But time can't be negative, So:

$t = 13$

6 0

2 years ago