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3 years ago

How do you factor and expression

Mathematics

1 answer:

Jlenok [28]3 years ago

4 0

Answer: Find the greatest common factor, and put in parentheses outside of the expression

Step-by-step explanation:

The greatest common factor is the largest number that all terms are divisible by. Here is an example: 4x+8y+12 In this example the greatest common factor is 4. So, first we divide the expression by 4 and put it in parentheses, giving us (x+2y+3). However, (x+2y+3) does not equal 4x+8y+12. We need to put the 4 we divided by in front of the parentheses, giving us 4(x+2y+3), which does equal 4x+8y+12. Hope this helps

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25 POINTS!!! The equation y=470x represents the relationship between x, the time that a plane flies in hours, and y, the distanc

sineoko [7]

Answer:

Step-by-step explanation:

For plane A,

Equation that represents the relationship between time 'x' and distance 'y' is,

y = 470x

By comparing this equation with the slope-intercept form of the equation,

y = mx + b

m = slope = 470

b = 0

Here, slope represents the speed of plane A.

Therefore, speed of plane A = 470 mi per hour

For plane B,

From the given table,

Slope of the graph = $\frac{y_2-y_1}{x_2-x_1}$

= $\frac{960-480}{2-1}$

= 480

Speed of plane B = 480 miles per hour

Since, speed of plane B is more than plane A,

Plane B is flying faster.

8 0

3 years ago

Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do n

Mazyrski [523]

We can use the fact that, for $|x|$ ,

$\displaystyle\frac1{1-x}=\sum_{n=0}^\infty x^n$

Notice that

$\dfrac{\mathrm d}{\mathrm dx}\left[\dfrac1{1-x}\right]=\dfrac1{(1-x)^2}$

so that

$f(x)=\displaystyle\frac5{(1-x)^2}=5\frac{\mathrm d}{\mathrm dx}\left[\sum_{n=0}^\infty x^n\right]$

$f(x)=\displaystyle5\sum_{n=0}^\infty nx^{n-1}$

$f(x)=\displaystyle5\sum_{n=1}^\infty nx^{n-1}$

$f(x)=\displaystyle5\sum_{n=0}^\infty(n+1)x^n$

By the ratio test, this series converges if

$\displaystyle\lim_{n\to\infty}\left|\frac{(n+2)x^{n+1}}{(n+1)x^n}\right|=|x|\lim_{n\to\infty}\frac{n+2}{n+1}=|x|$

so the series has radius of convergence $R=1$ .

5 0

2 years ago

Me+You=? <br> wanna test our equation? ;3

Vika [28.1K]

Hahaha anyway thanks for the free point

5 0

2 years ago

Read 2 more answers

Membership to a national running club is shown in the table. Which answer describes the average rate of change from Year 3 to Ye

Nataly [62]

Answer:

Membership decreased by an average of 6,600 people per year from Year 3 to Year 5

Step-by-step explanation:

The average rate of change from Year 3 to Year 5 will be given by the slope of the line joining the points;

(3, 96.8) and (5, 83.6)

The slope of a line given two points is calculated as;

( change in y)/( change in x)

In this case y is the number of members for a given year x.

average rate of change = (83.6-96.8)/(5-3)

= -6.6

Since the number of members is given in thousands, we have;

-6,600

The negative sign implies a decrease in the number of members. Therefore, membership decreased by an average of 6,600 people per year from Year 3 to Year 5

8 0

3 years ago

A brand new car is $22,000 and its value depreciates 7% each year. How many years will it take for your car to be $10,000? Round

Elan Coil [88]

.200 because 22,000 % by 7 is 1540 which you divide by 10,000

4 0

3 years ago

How do you factor and expression​

How do you factor and expression