MATHEMATICS HIGH SCHOOL

Y = 3x + 4y, x + 2y = -1 using substitution

Answers

Answer 1

Answer:

Answer:

x = 1

y = -1

Step-by-step explanation:

y = 3x + 4y

3x + 3y = 0

So, we have 2 equations that are

3x + 3y = 0

x + 2y = -1

Times the second equation by -3

3x + 3y = 0

-3x - 6y = 3

-3y = 3

y = -1

Now put -1 in for y and solve for x

x + 2(-1) = -1

x - 2 = -1

x = 1

Let's check

1 + 2(-1) = -1

1 - 2 = -1

-1 = -1

So, x = 1 and y = -1 is the correct answer.

Answer 2

Answer: The answers should be x=1 and y=-1

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Simplify (6x2 − 3 + 5x3) − (4x3 − 2x2 − 16).2x3 − x2 + 21
−2x3 + x2 − 21
x3 + 8x2 + 13
−x3 − 8x2 + 13

Answers

If you would like to simplify (6x^2 − 3 + 5x^3) − (4x^3 − 2x^2 − 16), you can calculate this using the following steps:

(6x^2 − 3 + 5x^3) − (4x^3 − 2x^2 − 16) = 6x^2 − 3 + 5x^3 − 4x^3 + 2x^2 + 16 = x^3 + 8x^2 + 13

The correct result would be x^3 + 8x^2 + 13.

Answer:

Simplified form of $(6x^(2)-3+5x^(3))-(4x^(3)-2x^(2)-16)$ is $1x^(3)+8x^(2)+13$ .

Step-by-step explanation:

As given the expression

$= (6x^(2)-3+5x^(3))-(4x^(3)-2x^(2)-16)$

Now open the bracket

$= 6x^(2)-3+5x^(3)-4x^(3)+2x^(2)+16$

$= 1x^(3)+8x^(2)+13$

Therefore the simplified form of $(6x^(2)-3+5x^(3))-(4x^(3)-2x^(2)-16)$ is $1x^(3)+8x^(2)+13$ .

What is the quotient of 2/3 ➗ 5?

Answers

2/3 divided by 5

2/3 divided by 5/1

2/3 x 1/5

=2/15

The Johnsons own a home whose market value is $93,000. Their municipality taxes at 80% and the rate is 65 mills or $65 per thousand. What will the Johnsons pay in taxes?

Answers

Answer: He paid $ 4836 in taxes.

Step-by-step explanation:

Here, the total value of the house = $ 93,000

And, the amount on which municipal taxes imposed = 80% of the value of house

= 80% of 93000

= 0.8 × 93000

= $ 74,400

Now, the tax rate is $65 per thousand,

⇒ $\text{The amount of tax for 1000 dollars }= \$ 65$ ,

⇒ $\text{The amount of tax for 1 dollar}=(65)/(1000)$

⇒ $\text{The amount of tax for 74400 dollars}=(74400* 65)/(1000)$

$=(4836000)/(1000)$

$=\$ 4836$

Thus, he paid $ 4836 in taxes.

Answer:

6760

Step-by-step explanation:

80% x 93000 = 74400

74.4 x 65 = 6760

What is the probability as a fraction of rolling a number cube and getting a 1?

Answers

Answer:

1/6

Step-by-step explanation:

this is because on the cube there is a a change of 6 numbers and you want a 1

1/6

Peter & Alex share a lottery win of £4450 in the ratio 4 : 1. Peter then shares his part between himself, his wife & their son in the ratio 1 : 6 : 3. How much more does his wife get over their son?