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3 years ago

Solve the equation. 5/6 x-4 = -2

Mathematics

1 answer:

lora16 [44]3 years ago

7 0

Answer:

2 2/5

Step-by-step explanation:

5/6 x-4 = -2

Add 4 to each side

5/6 x-4+4 = -2+4

5/6 x = 2

Multiply by 6/5 to isolate x

6/5 *5/6 x = 6/5 *2

x = 12/5

Changing this from an improper fraction

5 goes into 12 2 times with 2 left over

x = 2 2/5

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Please help on this. I am confused.

neonofarm [45]

The answer is 2x^2-3x-2.

To solve this, you take f(x)-g(x) which is 2x^2-5-3x+3. This simplifies to 2x^2-3x-2.

3 0

3 years ago

Which coefficient matrix represents a system of linear equations that has a unique solution ?

finlep [7]

Answer:

Option C

Step-by-step explanation:

We are given a coefficient matrix along and not the solution matrix

Since solution matrix is not given we cannot check for infinity solutions.

But we can check whether coefficient matrix is 0 or not

If coefficient matrix is zero, the system is inconsistent and hence no solution.

Option A)

|A|= $\left[\begin{array}{ccc}4&2&6\\2&1&3\\-2&3&-4\end{array}\right] =0$

since II row is a multiple of I row

Hence no solution or infinite

OPtion B

|B|= $\left[\begin{array}{ccc}2&0&-2\\-7&1&5\\4&-2&0\end{array}\right] \\=2(10)-2(10)=0$

Hence no solution or infinite

Option C

$\left[\begin{array}{ccc}6&0&-2\\-2&0&6\\1&-2&0\end{array}\right] \\=2(36-2)=68$

Hence there will be a unique solution

Option D

$\left[\begin{array}{ccc}5&10&5\\4&1&4\\-1&-2&-1\end{array}\right] \\=2(10)-2(10)=0$ =0

(since I row is -5 times III row)

Hence there will be no or infinite solution

Option C is the correct answer

4 0

3 years ago

Read 2 more answers

What is the remainder of x^5+2x^4+9x^3-6x^2+3x+3165 divided by x-5

riadik2000 [5.3K]

Answer:

8530

Step-by-step explanation:

The remainder is 5⁵ + 2(5)⁴ + 9(5)³ - 6(5)² + 3(5) + 3165 = 8530

4 0

2 years ago

a sports store sells 12 different player jerseys in both home and away styles. your aunt boys you a jersey without asking which

Art [367]

Answer:

1/12 (i think) or 0.083

Step-by-step explanation:

well she buys you 1 and there is 12 so it would be 1 out of 12 which is written as 1/12

6 0

3 years ago

Find the missing value to the nearest hundredth.

AVprozaik [17]

Answer:

D.) 89.33°

Step-by-step explanation:

Use the inverse:

$X=tan^{-1}(86)$

Insert this value into a calculator:

$X=89.333$

Round to the nearest hundredth:

$X=89.33$

The missing value is 89.33°.

6 0

3 years ago