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3 years ago

Factor the polynomial. 2x²+6x+4=

1 answer:

8 0

(2x+2)(x+2) Look there is a way most people don't know but I always use it. it's super easy once you learn it. So the equation is ax²+bx+c=0 b you have to think of two numbers whose sum is b and prod. is ac. So in this situation the sum is 6 and the prod. is 2×4=8 . Two numbers there sum is 6 and product is 8 are: 4 and 2 so we rewrite the equation 2x²+6x+4 delete the 6x and put the two numbers we found with an x like this : 2x²+4x+2x+4 then you take the first two together and the last two together like this : (2x²+4x)+(2x+4) you then factorise the two brackets take the common factor. 2x(x+2)+2(x+2) In any equation it's a must to find two similar brackets take them common and combine like this (x+2)(2x+2). and then it's done. I know it's a bit strange and hard but once you perfect it any polynomial is a piece of cake.

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A bus travels at a constant speed. The following table shows the distance the bus travels (in kilometers) over a period of time

Olegator [25]

Answer:

315 km

Step-by-step explanation:

If the bus travels at constant speed, then the slope of the distance versus time graph can be calculated by using any two points from this table.

Let's use the points (0.5, 42) and (4.5, 378):

as we move from the first point to the second, t increases by 4 and y increases by 336. Thus, the slope of this graph is

m = rise / run = 336 km / 4 hr = 84 km/hr

then distance traveled = speed times time, or

distance traveled = (84 km/hr)t, where t is the elapsed time.

In 6 hours the bus would travel

( 84 km/hr )(6 hr) = 504 km, or approx. 315 mi

8 0

3 years ago

Read 2 more answers

I need help fast please answer!

frez [133]

Answer:

Step-by-step explanation:

3 0

3 years ago

the formula y-y1 =m(x-x1) is the pot slope form of the equation of a line where m is the slope of the line and(x,y) and (x1,y1)

oksano4ka [1.4K]

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~{{ 4}} &,&{{ -2}}~) 
% (c,d)
&&(~{{ 5}} &,&{{ 0}}~)
\end{array}
\\\\\\
% slope = m
slope = {{ m}}\implies 
\cfrac{\stackrel{rise}{{{ y_2}}-{{ y_1}}}}{\stackrel{run}{{{ x_2}}-{{ x_1}}}}\implies \cfrac{5-(-2)}{0-4}\implies \cfrac{5+2}{0-4}\implies -\cfrac{7}{4}$

$\bf \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-(-2)=-\cfrac{7}{4}(x-4)
\\\\\\
y+2=-\cfrac{7}{4}(x-4)\implies y+2=-\cfrac{7}{4}x+7\implies y=-\cfrac{7}{4}x+9$

6 0

3 years ago

In Mona’s new video game she earns 30 points for each fish caught and 80 points for each octopus captured, but she loses 15 poin

Aleksandr-060686 [28]

If x is fish, y is octopi, and z is crabs, then you would have to know the numbers.
Then your answer would be c. 30x+80y-15z.
Because x=+30, y=+80, and z=-15.
I hope that helps. If you need any further help on this problem just ask.

5 0

3 years ago

Read 2 more answers

Please choose all irational thx ^_^

lana66690 [7]

Answer:

Here is a note to help you: Most numbers are rational numbers. Here is how you know when a number is rational or not [especially if its a decimal].

Rational:

- Decimals are usually rational. Rational decimals my look like this:

1) 0.25

2) 0.333333333...

3) 0.234234234234234234...

The following above are rational because they either: terminate or repeat. That being said, 1) terminates, and 2) and 3) repeat because the pattern of 2) is just 3's, and the pattern of 3) is 0.234 over and over again.

Irrational:

- Irrational numbers are numbers that don't repeat, and don't terminate. The next examples are irrational:

1) 0.234536718092343...

2) 8.123456789023452574794832468...

3) 1723456.4356784794954233690422...

- They go on forever and ever, and don't have a pattern/terminate like rational numbers.

Now that you've got that in the bag, its time for your answers!

Step-by-step explanation:

A) rational --> It has a pattern, but does not terminate

B) rational --> It terminates

C) irrational --> it does not have a pattern, even if it does terminate

D) rational --> when you solve it, the answer is 2, and 2 is rational

E) irrational --> it does not have a pattern, but does terminate

I hope I helped you! This took forever, but it was worth it! :D

<h2><u>PLEASE MARK BRAINLIEST!</u></h2>

<u></u>

6 0

3 years ago