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3 years ago

What is 4/7x + 5/14x = 39 ?

2 answers:

6 0

Find a common denominator for 4/7 which gives you 8/14 then add it to 5/14 and get 13/14x=36 then divide 36 by 13/14 and get 42

Sladkaya [172]3 years ago

5 0

Answer:

yes

Step-by-step explanation:

if you break it down on paper ( which btw i get why you didnt want to do it) you get 39

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Find the characteristic polynomial of A. Use x for the variable in your polynomial.You do not need to factor your polynomial. A

Vesna [10]

Answer: The required characteristic polynomial of the given matrix A is $x^3+6x+11x+6=0.$

Step-by-step explanation: We are given to find the characteristic polynomial of the following 3 × 3 matrix A with unknown variable x :

$A=\left[\begin{array}{ccc}0&0&1\\4&-3&4\\-2&0&-3\end{array}\right].$

We know that

for any square matrix M, the characteristic polynomial is given by

$|M-xI|=0,$ where I is an identity matrix of same order as M.

Therefore, the characteristic polynomial of matrix A is

$|A-xI|=0\\\\\\\Rightarrow \left|\left[\begin{array}{ccc}0&0&1\\4&-3&4\\-2&0&-3\end{array}\right]-x\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]\right|=0\\\\\\\Rightarrow \left|\left[\begin{array}{ccc}-x&0&1\\4&-3-x&4\\-2&0&-3-x\end{array}\right] \right|=0\\\\\\\Rightarrow -x(3+x)^2+1(0-6-2x)=0\\\\\Rightarrow (x+3)(-3x-x^2-2)=0\\\\\Rightarrow (x+3)(x^2+3x+2)=0\\\\\Rightarrow x^3+6x+11x+6=0.$

Thus, the required characteristic polynomial of the given matrix A is $x^3+6x+11x+6=0.$

6 0

3 years ago

Emma has money into savings accounts. One rate is 8% and the other is 12%. If she has $450 more in the 12% account and the total

AveGali [126]

Let's say that the value invested in the account with a rate of 8% is "x", then the amount invested in the account with a rate of 12% is:

$x+450$

To calculate the total interest we need to calculate the interest of each individual account and sum them:

$\begin{gathered} \frac{8}{100}\cdot x=0.08\cdot x \\ \frac{12}{100}\cdot(x+450)=0.12\cdot x+54 \end{gathered}$

The total interest is the sum of the two expressions above:

$\begin{gathered} 220=(0.08\cdot x)+(0.12\cdot x+54) \\ 220=0.08\cdot x+0.12\cdot x+54 \\ 220-54=0.2\cdot x \\ 166=0.2\cdot x \\ 0.2\cdot x=166 \\ x=\frac{166}{0.2} \\ x=830 \end{gathered}$

The value invested in the account with 8% interest is 830, the one invested in the account with 12% interest is 1280.

7 0

1 year ago

The volume of a cylinder can be expressed as V=πr2h, where r is the radius, and h is the height of the cylinder. Which expressio

Naddik [55]

Answer:

The answer is V= ( $\pi$ ) ( $x-3^{2}$ ) (2x+7).

Step-by-step explanation:

To find the volume of the cylinder, plug in the information given in the question into the formula for the volume of a cylinder, which is V = $\pi$ $r^{2}$ h.

5 0

3 years ago

Cual temperatura es mas caliente ( 25°C , 280°K ó 40°F)

Vikki [24]

Answer:

25 Celsius es igual a 77 F, 77 es mas grande que 40 F

Step-by-step explanation:

Espero que la info. ayude

El símbolo de grado no se usa para informar la temperatura usando la escala Kelvin, sino que se indican como Kelvin. El agua hierve a 100 grados Celsius o 212 grados Fahrenheit, o 373,15 Kelvins. El agua se congela a 0 grados Celsius o 32 grados Fahrenheit, o 273,15 Kelvins. El cero absoluto es 0 Kelvin.

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3 years ago

A car with 26 miles per gallon. How many miles can it travle on 2 1/2 gallon of gas?

Oliga [24]

The car can travel 75 miles on 2 1/2 gal. of gas

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3 years ago

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