What is 2+2+2+2 will mark brainliest.

(1 point) Linear System - Three Variables Solve the following system of equations using Gaussian elimination method. If there ar

EastWind [94]

Answer:

$x=\frac{-363}{70}$ ≈ -5.1857

$y=\frac{-192}{35}$ ≈ -5.4857

$z=\frac{313}{84}$ ≈ 3.7262

Step-by-step explanation:

Rewrite the equation system as:

$6x+8y=-75$

$-3x+6y+6z=5$

$2x-9y=39$

Now, write the system in its augmented matrix form:

$\left[\begin{array}{cccc}6&8&0&-75\\-3&6&6&5\\2&-9&0&39\end{array}\right]$

applying row reduction process to its associated augmented matrix:

Swap R1 and R3, and then Swap R1 and R2:

$\left[\begin{array}{cccc}-3&6&6&5\\2&-9&0&39\\6&8&0&-75\end{array}\right]$

R3+2R1

$\left[\begin{array}{cccc}-3&6&6&5\\2&-9&0&39\\0&20&12&-65\end{array}\right]$

3R2+2R1

$\left[\begin{array}{cccc}-3&6&6&5\\0&-15&12&127\\0&20&12&-65\end{array}\right]$

15R3+20R2

$\left[\begin{array}{cccc}-3&6&6&5\\0&-15&12&127\\0&0&420&1565\end{array}\right]$

Now we have a simplified system:

$-3x+6y+6z=5\\0-15y+12z=127\\0+0+420z=1565$

$-3x+6y+6z=5\hspace{5 mm}(1)\\0-15y+12z=127\hspace{3 mm}(2)\\0+0+420z=1565\hspace{3 mm}(3)$

From (3):

$z=\frac{313}{84}$ (4)

Replacing (4) in (2)

$y=\frac{-192}{35}$ (5)

Finally replacing (5) and (4) in (1)

$x=\frac{-363}{70}$

7 0

3 years ago

Linda and Imani are each traveling in a car to the beach. Linda’s travel is modeled by a table. Imanis travel it modeled by grap

tino4ka555 [31]

Answer:

Imani traveled faster because her distance surpassed Linda's distance after the fourth hour.

Step-by-step explanation:

1. Understand the slope:

Ok, so the slope basically tells us how fast Imani and Linda traveled, so if we solve for the slope we know how fast Imani and Linda traveled.

2. Find Linda's slope:

- Take any two points: (0,10) and (1, 65).

Slope = (<u>y1 - y2)/(x1 - x2)</u>

<u> </u> = (65-10)/(1-0)

= 55

Since the slope is 55, we know her speed is 55 miles per hour.

2. Find Imani's slope:

- Take any two points: (0,0) and (1, 60).

Slope = (<u>y1 - y2)/(x1 - x2)</u>

<u> </u> = (60-0)/(1-0)

= 60

Since the slope is 60, we know her speed is 60 miles per hour.

3. Compare: Since 60>55, we know Imani traveled faster. If we look at options, we can see there's only one answer which shows that Imani traveled faster, so that must be the answer.

7 0

3 years ago

The sum of one-third of a number and three-fourths of the number exceeds that number by one. Which equation could be used to fin

Marrrta [24]

$\frac{n}{3} + \frac{3n}{4} = n+1 
$
$4n + 9n = n+1$
$13n = n+1$
$13n-n = 1$
$12n = 1$

8 0

3 years ago

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If 3/4 of the 200 seeds sprouted, how many seeds did not sprout?

katen-ka-za [31]

Answer:

The exact answer is 16.6666666667. Rounded would be about 17.

Step-by-step explanation:

Hope i was right and this helped!

5 0

3 years ago

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(HELP! I HAVE NO TIME) At 2pm, a store had sold 15 packs of toilet paper. By 5pm, the store had sold 57 packs of toilet paper. W

Novay_Z [31]

$\mathrm {Hey, there!}$

Let's solve your problem:

The answer would be 280%.

We know the following information:

2pm - 15 toilet paper rolls

5pm - 57 toilet paper rolls

We have to find the <u>percent rate of change.</u>

Here is how we will do this problem:

<h3><u>First, Set up a ratio:</u></h3>

Change in the quantity [15 - 57]

-------------------------------------

Original quantity [15]

57 - 15 = 42

<h3><u>Next, we will divide. the ratio.</u></h3>

Given quantity - 42

Number of packs sold at 2pm - 15

Fraction - 42/15

<h3><u>Convert the fraction to a decimal.</u></h3>

Fraction - 42/15

Decimal - 2.8

<h3><u>Make the decimal to a percent.</u></h3>

Decimal - 2.8

Percent - 28%

<h2><u>Our answer is 280%</u></h2>

4 0

3 years ago

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