Ask question

Ask question

All categories

schepotkina [342]

3 years ago

10

6x^2-5x+1 Factor polynomial

1 answer:

Tamiku [17]3 years ago

8 0

6x²-5x+1
=6x²-3x-2x+1
=3x(2x-1)-1(2x-1)
=(3x-1)(2x-1)

You might be interested in

Nick has designed a diamond shaped kite as shown below. The measures of some sides of the kite are marked in the figure. Find th

Zepler [3.9K]

Answer:

<h2>x = 3.499 in</h2>

Step-by-step explanation:

In a kite, the diagonals are perpendicular. Hence $\Delta DOC$ is a right angled triangle.

$DC=7\text{ }in,\text{ }OC=5\text{ }in$

From Pythagoras theorem, since $\Delta DOC$ is a right angled triangle, $DO^{2}+OC^{2}=DC^{2}$ .

Area of $\Delta DOC$ = $\frac{1}{2}\times base\times height$

$=\frac{1}{2}\times DO\times OC=\frac{1}{2}\times OP\times DC\\(2\sqrt{6})\times(5)=(7)\times(OP)\\OP=3.499\text{ }in$

From diagram $OP=x$

∴ $x=3.499\text{ }in$

7 0

3 years ago

The daily average temperature in Santiago, Chile, varies over time in a periodic way that can be modeled approximately by a trig

natali 33 [55]

Answer:

a) the trigonometric function is;

$y = 7.5 sin ( \frac{2 \pi}{365}t + \frac{337 \pi}{730})+ 21.5$

b) $y = 28.36^0 \ C$ ( to two decimal places)

Step-by-step explanation:

This data can be represented by the sinusoidal function of the form :

$\mathbf{y = A sin (Bt -C)+D}$

where A = amplitude and which can be determined via the formula:

$A = \dfrac{largest \ temperature - lowest \ temperature}{2}$

$A = \dfrac{29-14}{2}$

$A = \dfrac{15}{2}$

A = 7.5° C

where B = the frequency;

Since the data covers a period of 3 days ; then $\dfrac{2 \pi}{B } =365$

$B = \dfrac{2 \pi}{365}$ ( where 365 is the time period )

The vertical shift is found by the equation D;

D = $\frac{largest \ temperature + lowest \ temperature}{2}$

D = $\frac{29+14}{2}$

D = 21.5

Replacing the values of A ; B and D into the above sinusoidal function; we have :

$y = 7.5 sin (\frac{2 \pi}{365}t -C) + 21.5$

From the question; when it is 7th of the year ( i.e January 7);

t = 7 and the temperature (y) = 29° C

replacing that too into the above equation; we have:

$29= 7.5 sin (\frac{2 \pi}{365}*7 -C) + 21.5$

$29= 7.5 sin (\frac{14 \pi}{365} -C) + 21.5$

$\frac{29-21.5}{7.5}= sin (\frac{14 \pi}{365} -C)$

$1= sin (\frac{14 \pi}{365} -C)$

$sin^{-1}(1)= (\frac{14 \pi}{365} -C)$

$\frac{\pi}{2}= (\frac{14 \pi}{365} -C)$

$C= (\frac{14 \pi}{365} -\frac{\pi}{2})$

$C= (\frac{28 \pi- 365 \pi}{730} )$

$C= \frac{-337 \pi}{730}$

Thus; the trigonometric function is;

$y = 7.5 sin ( \frac{2 \pi}{365}t + \frac{337 \pi}{730})+ 21.5$

Similarly; to determine the temperature o Jan 31; i.e when t= 31 ; we have :

$y = 7.5 sin ( \frac{2 \pi}{365}*31+ \frac{337 \pi}{730})+ 21.5$

$y = 7.5 sin ( \frac{62 \pi}{365}+ \frac{337 \pi}{730})+ 21.5$

$y = 7.5 sin ( \frac{124 \pi+ 337 \pi }{730})+ 21.5$

$y = 7.5 sin ( \frac{461 \pi }{730})+ 21.5$

$y = 7.5 *( 0.915)+ 21.5$

$y = 6.8689+ 21.5$

$y = 28.36^0 \ C$ ( to two decimal places)

7 0

3 years ago

Read 2 more answers

Pls I need help with this

tigry1 [53]

Answer:

umm I think I know hold on

6 0

3 years ago

How do you divide 3/8 by 6/7 in simplest form

Ipatiy [6.2K]

Answer:

7/16

Step-by-step explanation:

First, it is good to know that when you divide fractions, you are <em>multiplying it's reciprocal</em>.

<em>6/7's reciprocal is 7/6, since the reciprocal is $\frac{1}{6/7}$ </em>

3/8 / 6/7 =

<u>3/8 * 7/6</u>

Now that we have that, we can just multiply the two:

3/8 * 7/6 =

21/48 =

<u>7/16</u>

Hope this helped :)

8 0

3 years ago

Solve for x and then find the measure

Afina-wow [57]

Answer:

A= 148

Step-by-step explanation:

Angles A and B are Alt. Ext. Angles which makes them congruent. You set them equal to each other and solve for x.

4 0

3 years ago