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3 years ago

Factor and\or expand the following expression : 3(2x + w)

Mathematics

2 answers:

lutik1710 [3]3 years ago

7 0

Answer:

6x +3w

Step-by-step explanation:

3(2x + w)

Distribute

3*2x +3*w

6x +3w

tigry1 [53]3 years ago

3 0

Answer:

6x + 3w

Step-by-step explanation:

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3 years ago

Read 2 more answers

Need help ASAP !!! And show work please

sammy [17]

Answer:

$\sqrt{40}$ or 6.32

Step-by-step explanation:

We can find the distance between two points by using this formula

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

where the x and y values are derived from the given points

The points given are ( -2 , 5 ) and ( 4 , 3 )

So we plug in the x and y values of those coordinates into the distance formula

$\sqrt{(4-(-2)^2+(3-5)^2} \\4-(-2)=6\\3-5=-2\\d=\sqrt{6^2+-2^2} \\6^2=36\\-2^2=4\\36+4=40\\d=\sqrt{40}$

or 6.32

6 0

3 years ago

A small airplane flies 1200 miles with an average speed of 300 miles per hour. 2 hours after the plane leaves, a Boeing 747 leav

inysia [295]

The small plane has the following parameters

Distance = 1200 miles

Speed = 300miles/hour

time = ?

$\begin{gathered} \text{Speed =}\frac{dis\tan ce}{time} \\ time\text{= }\frac{1200}{300} \\ \text{time = 4 hours} \end{gathered}$

If a Boeing 747 leaves 2 hours later, the total time becomes 4hours + 2 hours = 6 hours

Considering the distance of the small plane after 6 hours, we have

$\begin{gathered} \text{distance = sp}eed\times\text{ time} \\ d\text{ = 300 }\times6 \\ d\text{ =1800 miles} \end{gathered}$

So the total distance = 1800 miles

Hence the speed of the Boeing 747 will be

$\begin{gathered} \text{Speed =}\frac{dis\tan ce}{time} \\ \text{distance = 1800 miles } \\ time\text{ = 2hours} \end{gathered}$ $\begin{gathered} \text{speed = }\frac{1800}{2} \\ \text{speed = 900 miles/hour} \end{gathered}$

The average speed of the Boeing 747 is 900 miles/ hour

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1 year ago

what is the average rate of change for the function f(x)=6x+17 over the interval 0 is greater than or equal to x is greater than

zavuch27 [327]

$\dfrac{f(2)-f(0)}{2-0}=\dfrac{6(2+17)-6(0+17)}2=6$

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3 years ago