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3 years ago

14 = 31.7 – 3x What is the solution?

2 answers:

7 0

X=5.9
First subtract 31.7 from both sides then you have -17.7=-3x divide both sides by negative 3 so then you get 5.9 =x

ValentinkaMS [17]3 years ago

5 0

Answer:

-5.9=x

Step-by-step explanation:

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Transfer transfer the system of equations by forming a matrix equation.

Anika [276]

Answer:

Step-by-step explanation:

$\begin{bmatrix}2 & -3\\ 1 & 2\end{bmatrix}^{-1}\times \begin{bmatrix}2 & -3\\ 1 & 2\end{bmatrix}\times \begin{bmatrix}x\\y \end{bmatrix}=\frac{1}{7} \begin{bmatrix}2 & 3 \\ -1 & 2\end{bmatrix}\times \begin{bmatrix}19\\ -1\end{bmatrix}$

Since, $\begin{bmatrix}2 & -3\\ 1 & 2\end{bmatrix}^{-1}=\frac{1}{7}\begin{bmatrix}2 & 3\\ -1 & 2\end{bmatrix}$

And $A^{-1}A=I$

$\begin{bmatrix}x\\y \end{bmatrix}=\frac{1}{7}\begin{bmatrix}2 & 3\\ -1 & 2\end{bmatrix}\times \begin{bmatrix}19\\-1 \end{bmatrix}$

$\begin{bmatrix}x\\y \end{bmatrix}=\frac{1}{7}\begin{bmatrix}35\\ -21\end{bmatrix}$

$\begin{bmatrix}x\\y \end{bmatrix}=\begin{bmatrix}5\\ -3\end{bmatrix}$

Therefore, x = 5 and y = -3 will be the value of variables.

3 0

3 years ago

4(x+ 1) = 3(x + 1).

kompoz [17]

Answer:

$x=-1$

7 0

3 years ago

For the given bond, whose interest rate is provided, find the semiannual interest payment and the

Vika [28.1K]

Answer:

The semiannual interest payment is $485.5

The total interest earned over the life of the bond is $10,681

Step-by-step explanation:

The formula of the simple interest is I = Prt, where

P is the money invested
r is the interest rate in decimal
t is the time in years

∵ The bond is $20,000

∴ P = 20,000

∵ First Income Fund 11-year bond at 4.855%

∴ t = 11

∴ r = 4.855%

- Change it to decimal by divide it by 100

∴ r = 4.855 ÷ 100 = 0.04855

∵ The semiannual interest payment = P × r × half a year

∴ The semiannual interest payment = 20,000 × 0.04855 × $\frac{1}{2}$ (1)

∴ The semiannual interest payment = 485.5

The semiannual interest payment is $485.5

∵ I = Prt

- Substitute the values of P, r and t in the formula

∴ I = 20,000(0.04855)(11)

∴ I = 10,681

The total interest earned over the life of the bond is $10,681

6 0

4 years ago

Which equation could be used for the situation below?

nasty-shy [4]

Answer:

Option C is the correct answer.

Step-by-step explanation:

Per week earning = $8

Amount in savings = $12

y = Total amount

x = Number of weeks

y = 8x + 12

Where we can put x=4 to calculate earning of 4 weeks.

y = 8(4) + 12

y = 32 + 12 = $44

Therefore,

Option C is the correct answer.

5 0

3 years ago

A certain quadratic function has the factors

olganol [36]

Answer:

Step-by-step explanation:

If those two functions are the factors of a quadratic, then each of them can be equated to 0 to find the roots. Sometimes the roots are called the zeros.

2x - 5 = 0 Add 5 to both sides

2x - 5 + 5 = 0 + 5 Combine

2x = 5 Divide both sides by 2

2x/2 = 5/2

x = 5/2

You don't really have to find the other factor's 0 point. There is only 1 option that makes x = 5/2. On a test, it is important to take short cuts and save time. I'll find the other root anyway because this is not a test.

3x + 4 = 0 Subtract 4 from both sides

3x + 4-4 = 0 - 4 Combine

3x = - 4 Divide both sides by 3

3x/3 = - 4/3

x = - 4/3

7 0

2 years ago