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3 years ago

Factoriza el siguiente trinomio 6x^2 – 26x – 200

Mathematics

1 answer:

Virty [35]3 years ago

4 0

Answer:

2 (x + 4)(3x - 25)

Step-by-step explanation:

$6 {x}^{2} - 26x - 200$

$3 {x}^{2} - 13x - 100$

$2 (x + 4)(3x - 25)$

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Which line(s) intersect the parabola y = x^2 − 3x + 4 at two points? Select all that apply. A. y = –3x + 2 B. y = –3x + 3 C. y =

TEA [102]

Answer:

C and D

Step-by-step explanation:

Equating the line A and the parabola, we get

-3x + 2 = x² - 3x + 4

0 = x² - 3x + 4 +3x - 2

0 = x² + 2

-2 = x²

which has no real solutions. Then, the line A and the parabola don't intersect each other.

Equating the line B and the parabola, we get

-3x + 3 = x² - 3x + 4

0 = x² - 3x + 4 + 3x - 3

0 = x² + 1

-1 = x²

which has no real solutions. Then, the line B and the parabola don't intersect each other.

Equating the line C and the parabola, we get

-3x + 5 = x² - 3x + 4

0 = x² - 3x + 4 + 3x - 5

0 = x² - 1

1 = x²

√1 = x

which has 2 solutions, x = 1 and x = -1. Then, the line C and the parabola intersect each other.

Equating the line D and the parabola, we get

-3x + 6 = x² - 3x + 4

0 = x² - 3x + 4 + 3x - 6

0 = x² - 2

2 = x²

√2 = x

which has 2 solutions, x ≈ 1.41 and x ≈ -1.41. Then, the line D and the parabola intersect each other.

4 0

3 years ago

In a certain region, about 6% of a city's population moves to the surrounding suburbs each year, and about 4% of the suburban po

Sedbober [7]

Answer:

City @ 2017 = 8,920,800

Suburbs @ 2017 = 1, 897, 200

Step-by-step explanation:

Solution:

- Let p_c be the population in the city ( in a given year ) and p_s is the population in the suburbs ( in a given year ) . The first sentence tell us that populations p_c' and p_s' for next year would be:

0.94*p_c + 0.04*p_s = p_c'

0.06*p_c + 0.96*p_s = p_s'

- Assuming 6% moved while remaining 94% remained settled at the time of migrations.

- The matrix representation is as follows:

$\left[\begin{array}{cc}0.94&0.04\\0.06&0.96\end{array}\right] \left[\begin{array}{c}p_c\\p_s\end{array}\right] = \left[\begin{array}{c}p_c'\\p_s'\end{array}\right]$

- In the sequence for where x_k denotes population of kth year and x_k+1 denotes population of x_k+1 year. We have:

$\left[\begin{array}{cc}0.94&0.04\\0.06&0.96\end{array}\right] x_k = x_k_+_1$

- Let x_o be the populations defined given as 10,000,000 and 800,000 respectively for city and suburbs. We will have a population x_1 as a vector for year 2016 as follows:

$\left[\begin{array}{cc}0.94&0.04\\0.06&0.96\end{array}\right] x_o = x_1$

- To get the population in year 2017 we will multiply the migration matrix to the population vector x_1 in 2016 to obtain x_2.

$x_2 = \left[\begin{array}{cc}0.94&0.04\\0.06&0.96\end{array}\right]\left[\begin{array}{cc}0.94&0.04\\0.06&0.96\end{array}\right] x_o$

- Where,

$x_o = \left[\begin{array}{c}10,000,000\\800,000\end{array}\right]$

- The population in 2017 x_2 would be:

$x_2 = \left[\begin{array}{cc}0.94&0.04\\0.06&0.96\end{array}\right]\left[\begin{array}{cc}0.94&0.04\\0.06&0.96\end{array}\right] \left[\begin{array}{c}10,000,000\\800,000\end{array}\right] \\\\\\x_2 = \left[\begin{array}{c}8,920,800\\1,879,200\end{array}\right]$

5 0

3 years ago

Please, I beg you.

frozen [14]

We know that the true value for pi is given as 3.14156.

Now, we have been given that the approximate value for pi is 3.141

We know the formula

Absolute error, $\Delta x = | \text{True value } - \text{ Approximate value} | \\
\\
\Delta x =|3.14156-3.141|\\
\\
\Delta x =0.00056$

Relative error is given by

$\text{Relative error }= \frac{\Delta x}{\text{true value} }\\
\\
\text{Relative error }=\frac{0.00056}{3.14156} \\
\\
[tex]\text{Relative error }=0.000178$

The percentage error is given by

$\text{Relative error } \times 100\\ 
\\ 
0.000178\times 100 
\\ 
=0.0178 \%$

7 0

3 years ago

3x + 5x + 8y <br> i dont know how to do this plzz help

Valentin [98]

Answer:

8x + 8y

8 (x +y)

Step-by-step explanation:

When adding or subtracting, the terms should have exact variables like x.

3x + 5x + 8y

Here 3 and 5 have the same variable x so you can add them. (3+5=8)

8x + 8y

Now take out common number (here it's 8):

8 (x + y)

8 0

3 years ago

Read 2 more answers

To rent a certain meeting room, a college charges a reservation fee of $37 and an additional fee of $5.70 per hour. The chemistr

gulaghasi [49]

Answer: t < 4 hours

Step-by-step explanation:

Renting = $37 + t x $5.70

If $37 + t$5.70 < $59.80

t$5.70 < $59.80 - $37

t$5.70 < $22.80

t < $22.80/$5.70

t < 4 hours

[tex]\textit{\textbf{Spymore}}[/tex

7 0

3 years ago