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3 years ago

Give work for equations following: -x+2y<-4 2x+3y>6 thanks sooooo much!!!!

Mathematics

1 answer:

Schach [20]3 years ago

3 0

Answer: See below

Step-by-step explanation:

A) $-x+2y < -4$

$-x+2y-2y < -4-2y$

$-x < -4-2y$

Multiply both sides by -1 and reverse the inequality:

$\left(-x\right)\left(-1\right) > -4\left(-1\right)-2y\left(-1\right)$

$x > 4+2y$

B) $2x+3y > 6$

$2x+3y-3y > 6-3y$

$2x > 6-3y$

$\frac{2x}{2} > \frac{6}{2}-\frac{3y}{2}$

$x > \frac{6-3y}{2}\\x > 3-\frac{3y}{2}$

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Solve the system of equations y=x-2 x+y=10

nalin [4]

Answer:

Step-by-step explanation:

x + x - 2 = 10

2x - 2 = 10

2x = 12

x = 6

y = 6 -2

y = 4

(6,4)

6 0

4 years ago

Solving for x, please help

Sergeeva-Olga [200]

Answer:

x = 5,-2

Step-by-step explanation:

Multiply the whole equation by 3(x+1) to get rid of the denominator.

$\large{ \frac{x + 2}{3} \times 3(x + 1) = \frac{2(x + 2)}{x + 1} \times 3(x + 1)} \\ \large{(x + 2)(x + 1) = 2(x + 2) \times 3} \\ \large{ {x}^{2} + 3x + 2 = 6(x + 2)} \\ \large{ {x}^{2} + 3x + 2 = 6x + 12}$

Then we solve the equation.

$\large{ {x}^{2} + 3x + 2 - 6x - 12 = 0} \\ \large{ {x}^{2} - 3x - 10 = 0} \\ \large{(x - 5)(x + 2) = 0} \\ \large{x = 5, - 2}$

Since we are also solving rational equation, make sure that x ≠ -1 for this problem. Because if x = -1, the denominator is 0 which is undefined. Since our solutions are x = 5,-2 and not -1. Therefore the answer is x = 5,-2

4 0

3 years ago

Daniel is very extraverted.He admits that he is not comfortable unless surrounded by other people,and he energetically pursues a

viktelen [127]

Answer:

A is the most likely answer

Step-by-step explanation:

but how is this a math question?

4 0

3 years ago

Can I pls get some help

Gala2k [10]

Answer:

Principal: $1,905.63

Step-by-step explanation:

<h2>Definitions:</h2>

Simple interest is commonly used for short-term loans.

Principal: the total amount borrowed from a lender, or deposited into a savings account.

Interest: this is the fee that lenders charge for loaning funds, or the fee that banks pay the depositor (saver) for lending out a portion of the depositor's savings to other loaners.

Interest rate: it is the percentage of the principal amount over a given period of time.

<h3>Simple Interest Formula:</h3>

The formula for finding the simple interest is:

A = P (1 + r × t )

Where:

A = amount (future value) = $2,100

P = present value of the principal = unknown

r = annual simple interest rate = 3.4% or 0.034

t = time = 3 years

<h2>Solution:</h2>

Substitute the given values into the Simple interest formula:

⇒ A = P (1 + r × t )

$2,100 = P (1 + [0.034 × 3] )

$2,100 = P (1 + [0.102] )

$2,100 = P (1 .102)

Divide both sides by 1.102 to isolate "P":

$\displaystyle\mathsf{\frac{\tex\$2,100}{1.102}\:=\:\frac{P(1.102)}{1.102}}$

P = $1,905.63

Therefore, the principal amount of investment required to reach a future value amount of $2,100 at an annual interest rate of 3.4% at the end of 3 years is $1,905.63.

_________________________________

Additional Note:

Alternatively, we can make the Principal (P) as the subject of the Simple Interest Formula:

A = P (1 + r × t )

Divide both sides by (1 + r × t ):

$\displaystyle\mathsf{\frac{A}{1+r\:\times\:t}\:=\:\frac{P(1+r\:\times\:t)}{1+r\:\times\:t}}$

$\displaystyle\mathsf{P\:=\:\frac{A}{1+r\:\times\:t}}$

Keywords:

Simple interest

Principal

Interest rate

Present value

Future value

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Learn more about simple interest here:

brainly.com/question/20690803

4 0

3 years ago

The weight of oranges growing in an orchard is normally distributed with a mean weight of 3.5 oz. and a standard deviation of 0.

Andreas93 [3]

Answer:

(3 oz ; 4oz)

Step-by-step explanation:

Given that :

Mean = 3.5 oz

Standard deviation = 0.5 oz

According to the empirical rule ; 68% is 1 standard deviation from the mean.

Hence, the interval that would represent the middle 68% will be:

(3.5 oz - 0.5 oz) ; (3.5 oz + 0.5oz)

(3 oz ; 4oz)

7 0

3 years ago