All categories

3 years ago

Solve the inequality. 7x − 9 > 2x + 6

Mathematics

2 answers:

Flura [38]3 years ago

7 0

<h3>The value of x is greater than the value of 3.</h3>

We can treat inequalities like standard algebraic equations.

7x - 9 > 2x + 6

Add 9 to both sides.

7x > 2x + 15

Subtract 2x from both sides.

5x > 15

Divide both sides by 5.

x > 3

vladimir2022 [97]3 years ago

3 0

Answer:

x>3 is the answer

Step-by-step explanation:

We are given one inequality

7x-9>2x+6

To solve this we can do additions and subtraction as we do for equations.

Only for multiplication if negative number is used inequality changes

So let us add 9 to both the sides

7x>2x+6+9

Now subtract 2x from both the sides

7x-2x >15

5x>15

We divide by a positive number 5 without disturbing inequality sign.

X>3 is the answer

In interval notation we can write this as open interval

(3,∞)

In number line this is the region to the right of 3, not includig 3

You might be interested in

Employees in 2012 paid 4.2% of their gross wages towards social security (FICA tax), while employers paid another 6.2%. How much

yaroslaw [1]

The number of earnings towards social security should be $1,890.

According to the statement

We have to find that the security out of their gross wages.

So, For this purpose, we know that the

Gross pay refers to the amount used to calculate the wages of an employee or salary.

From the given information:

The employers in 2012 paid 4.2%.

The employer should paid 6.2%.

And, the earning should be $45,000.

Based on the above information, the calculation is as follows:

4.2% * 45,000

= $1,890

Therefore, we will conclude that the number of earnings towards social security should be $1,890.

Learn more about Gross pay here

brainly.com/question/15530787

#SPJ1

4 0

2 years ago

when a stone falls freely, the time taken to hit the ground varies as the square root of the distance fallen. If it takes four s

Eva8 [605]

Answer:

The stone would take approximately 10.107 seconds to fall 500 meters.

Step-by-step explanation:

According to the statement of the problem, the following relationship of direct proportionality is built:

$t \propto y^{1/2}$

$t = k\cdot t^{1/2}$

Where:

$t$ - Time spent by the stone, measured in seconds.

$y$ - Height change experimented by the stone, measured in meters.

$k$ - Proportionality constant, measured in $\frac{s}{m^{1/2}}$ .

First, the proportionality constant is determined by clearing the respective variable and replacing all known variables:

$k = \frac{t}{y^{1/2}}$

If $t = 4\,s$ and $y=78.4\,m$ , then:

$k = \frac{4\,s}{(78.4\,m)^{1/2}}$

$k \approx 0.452\,\frac{s}{m^{1/2}}$

Then, the expression is $t = 0.452\cdot y^{1/2}$ . Finally, if $y = 500\,m$ , then the time is:

$t = 0.452\cdot (500\,m)^{1/2}$

$t \approx 10.107\,s$

The stone would take approximately 10.107 seconds to fall 500 meters.

4 0

3 years ago

3 • (4 + 5) is how much more than 3 • 4 + 5 ?

IrinaK [193]

Answer:27

Step-by-step explanation:

8 0

3 years ago

Write an equation for a line that passes thruogh (3,-1) and has a slope of 2

harkovskaia [24]

Answer:

y=2x−7

Step-by-step explanation:

formula is ( y 1 − y = m ( x 1 − x))

m is the slope

-1-y=2(3-x)

add 1 to both sides

−y−1+1=−2x+6+1

−y=−2x+7

divide both sides by -1

y=2x−7

Hope this helps

Brainliest please

Ask if u have more questions.

3 0

3 years ago

At the frozen yogurt shop, a machine fills cups with 4 ounces of frozen yogurt before the costumer adds the toppings. After the

Mama L [17]

The best answer would be 28 hope it help

5 0

3 years ago