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2 years ago

(x - 4)(x + 2) in factored form, use the FOIL method to turn it into standard form

Mathematics

1 answer:

Verdich [7]2 years ago

7 0

Answer:

${x}^{2} - 2x - 8$

Step-by-step explanation:

(X - 4)(X+2)

$( {x}^{2} + 2x - 4x - 8) \\ ( {x}^{2} - 2x - 8)$

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2. Solve the system of equations. Write your answer in parametric vector notation. X, +5x2 + 4x3 + 3x4 +9xs = 18 2x, +6x2 + 4x3

ratelena [41]

Answer:

The system is inconsistent.

Step-by-step explanation:

The system is

$x_1+5x_2+4x_3+3x_4+9x_5=18\\2x_1+6x_2+4x_3+6x_4+6x_5=28\\3x_1+7x_2+4x_3+10x_4+x_5=41\\4x_1+6x_2+2x_3+7x_4+4x_5=29$

The associated matrix to the system is

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\2&6&4&6&6&28\\3&7&4&10&1&41\\4&6&2&7&4&29\end{array}\right]$

Now we use row operations to find the echelon form of the matrix:

1. We substract to row 2, two times the row 1.

We substract to row 3, three times the row 1.

We substract to row 4, four times the row 1 and obtain the matrix

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&-4&-4&0&-12&-8\\0&-8&-8&1&-26&-13\\0&-14&-14&-5&-32&-43\end{array}\right]$

2. We multiply the second row of the preview step by -1/4. We obtain the matrix

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&-8&-8&1&-26&-13\\0&-14&-14&-5&-32&-43\end{array}\right]$

We add to row 3, eight times the row 2.

We add to row 4, fourtheen times the row 2 and obtain the matrix

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&0&0&1&-2&3\\0&0&0&-5&10&-155\end{array}\right]$

4. We add to row 4 of the preview step, five times the row 3 and obtain the matrix

$\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&0&0&1&-2&3\\0&0&0&0&0&-140\end{array}\right]$

Using backward substitution we have that

$0x_5=-140$ , then $0=-140$ and this is absurd. Then The system is inconsistent.

4 0

3 years ago

Does anyone know how to do this (#2) PLZZZZ HELPPPPPPPP

timurjin [86]

Answer:

a.- slope= 36

Interpretation : The cable car travels 36 meter per minute

b.- y = 36x + 100

c.- 640 meters

Step-by-step explanation:

a.-

Find slope using the slope formula : $\frac{y2-y1}{x2-x1}$

Plug in the two given points: $\frac{1000-100}{25-0}$

Subtract the numbers : $\frac{900}{25}$

Reduce the fraction : 36

b.-

Using the given y-interspet (100) and the slope create an equation: y = 36x + 100

c.-

Using the equation you created plug in 15 for x to find the

distance: y = 36 (15) + 100

Multiply the numbers : y = 540 + 100

Add the numbers : y = 640

8 0

3 years ago

Allyson walked 10.8 km to the school. If 1 mile = 1.6 km, about how many miles did she walk?

seropon [69]

Answer:

According to my calculations, 1.6 goes into 10.8 a total of 6 times with a remainder of 1.1999999999999993. If you continue the long division beyond the decimal point, the result would be 6.75.

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Your new cell phone plan charges $50 per month for 400 minutes of talk time. The plan charges $0.10 for each additional minute y

Aleonysh [2.5K]

50+.10(50)=x
50+5=x
55=x
B is the answer

8 0

3 years ago

Read 2 more answers

Please help! Divide. Write the quotient in lowest terms.

Mekhanik [1.2K]

The correct answer for this would be 32/5

6 0

3 years ago