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3 years ago

How do I solve -2x > 6

1 answer:

7 0

I’m not the best with words but first you would have to treat the greater sign as a = sign. So..
-2x =6
/ /
-2 -2
X = -3
and then you would change the sign to a less than sign because you divided by a negative.

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Equation- s=db-6, solve for d

Liono4ka [1.6K]

Answer:

$d \: = \frac{s + 6}{b}$

Step-by-step explanation:

$s = db - 6$

Isolate d

$s + 6 = db$

Divide both sides of the equation by b

$\frac{s + 6}{b} = \frac{db}{b}$

Simplify

$\frac{s + 6}{b} = d \\ d = \frac{s + 6}{b}$

4 0

3 years ago

Read 2 more answers

What statement is NOT true about the pattern shown below? 2/3, 4/6, 8/12, 16/24 Choices: Each fraction is greater than the previ

-Dominant- [34]

Answer: Each fraction is greater than the previous fraction.

Step-by-step explanation:

The fractions given are:

2/3, 4/6, 8/12, 16/24

Note that

2/3 = 4/6 = 8/12 = 16/32

The Fractions are all equal. Each fraction is equivalent to 2/3

The pattern used here is:

2/3 × 2/2 = 4/6

4/6 × 2/2 = 8/12

8/12 × 2/2 = 16/24

16/24 × 2/2 = 32/48

Each fraction is equal to the previous fraction in the pattern multiplied by 2/2

Also, the next fraction in the pattern is 32/48.

The statement that "Each fraction is greater than the previous fraction" is incorrect. The fractions are all equal.

4 0

2 years ago

In a recent poll, only 5% of people surveyed were against a new bill making it mandatory to recycle. How many of the 80 people s

Nookie1986 [14]

This basically is telling you what is 5% of 80.

80 × 5 = 400

400 ÷ 100 = 4

Your answer is 4 people.

8 0

2 years ago

Read 2 more answers

After 2 hours, there are 1,400 mL of fluids remaining in a patient’s IV. The fluids drip at a rate of 300 mL per hour. Let x be

CaHeK987 [17]

Answer:

$y(2) = 1400$

Using this condition we got:

$1400= -300*2 +b$

And solving for b we got:

$b= 1400+ 600= 2000$

So then our linear function is given by:

$y = -300x +2000$

Where y is the amount of fluid left and x the number of hours ellapsing

Step-by-step explanation:

We want to set up a linear function like this one:

$y = mx+b$

Where y is the amount of fluid left, m the slope and b the initial amount. From the info given we know thatm = -300. And we also have the following condition:

$y(2) = 1400$

Using this condition we got:

$1400= -300*2 +b$

And solving for b we got:

$b= 1400+ 600= 2000$

So then our linear function is given by:

$y = -300x +2000$

Where y is the amount of fluid left and x the number of hours ellapsing

6 0

2 years ago

If the population of a country is reported in the year 1990 as 471.56 million and in the year 2000 as 492.53 million, when will

Aleks [24]

Answer:

35 years

Step-by-step explanation:

It will make this problem a whole lot easier if we call the year 1990 our initial year, or year 0; that means that the year 2000 is year 10. The coordinates then that result from that change are (0, 471.56) and (10, 492.53). Population growth is always exponential, and the formula for that, in terms of x and y, where x is the year and y is the population in millions, is

$y=a(b)^x$

a is the initial population at year 0 and b is the growth rate. If the growth rate is a decimal (less than 1) what we have is decay as opposed to growth. In order to determine when (x) the population (y) is 492.53, we have to find the model by solving for a and b using the coordinates. Once we find this model, we will use it to solve for x by filling in the y of 550 million. So here we go.

Using the first coordinate, we know that at year 0 the population is 471.56. So that is our initial population, a in our formula. Using that value of a and plugging it in to the formula with the other coordinate gives us

$492.53=471.56(b)^{10}$

Now we have to solve for b. Begin by dividing both sides by 471.56 to get

$1.044469421=b^{10}$

"Undo" that 10th power by taking the 10th root of both sides which gives you that b = 1.004360381

Now we have our model:

$y=471.56(1.00436)^x$

We will plug in a y value of 550 and solve for x using natural logs.

$550=471.56(1.004360381)^x$

Begin by dividing both sides by 471.56 to get

$1.166341505=(1.004360381)^x$

In order to solve for x we have to pull it down from the position in which it is currently sitting, which is an exponent. Taking the natural log of both sides will solve that problem for us:

$ln(1.166341505)=ln(1.004360381)^x$

The power rule for natural logs tells us we can pull the exponent down in front giving us:

$ln(1.166341505)=x*ln(1.004360381)$

Now we will divide both sides by ln(1.004360381) to isolate the x. Doing that and at the same time finding those values on our calculator gives us:

$\frac{.153871931}{.0043505227}=x$ so

x = 35

5 0

2 years ago