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antiseptic1488 [7]

2 years ago

9

What's the equation for twice the difference of a number and 6 is equal to three times the sum of the number and 3

1 answer:

alukav5142 [94]2 years ago

8 0

2(x-6)=3(x+3)

Let's solve your equation step-by-step.

<span><span>2<span>(<span>x−6</span>)</span></span>=<span>3<span>(<span>x+3</span>)

</span></span></span>Step 1: Simplify both sides of the equation.

<span><span>2<span>(<span>x−6</span>)</span></span>=<span>3<span>(<span>x+3</span>)

</span></span></span><span>Simplify: (Show steps)

</span><span><span><span>2x</span>−12</span>=<span><span>3x</span>+9

</span></span>Step 2: Subtract 3x from both sides.

<span><span><span><span>2x</span>−12</span>−<span>3x</span></span>=<span><span><span>3x</span>+9</span>−<span>3x

</span></span></span><span><span><span>−x</span>−12</span>=9

</span>Step 3: Add 12 to both sides.

<span><span><span><span>−x</span>−12</span>+12</span>=<span>9+12

</span></span><span><span>−x</span>=21

</span>Step 4: Divide both sides by -1.

<span><span><span>−x/</span><span>−1</span></span>=<span>21/<span>−1

</span></span></span><span>x=<span>−21

</span></span>Answer:

<span>x=<span>−<span>21</span></span></span>

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1.Which coordinates are not of the vertices of the feasible region for the system of inequalities?

astraxan [27]

2. I think the answer is 24

subracting the last 2 inequalities we get

6x + 7y <= 42
3x + 2y <= 18 subtract:_-
3x + 5y <= 24

3 0

3 years ago

Given the scatter plot, choose the function that best fits the data.

geniusboy [140]

Considering the scatter plot, the function that best fits the data is given by:

f(x) = 3x².

<h3>What is the function that best fits the data?</h3>

To find the function that best fits the data, we have to look at the scatter plot, which gives a series of points (x,y).

We have that:

When x increases, y also increases, hence the function is increasing, which removes the option f(x) = -3x.

The increase looks "faster" than a linear increase, hence a quadratic model should be used, thus removing option f(x) = 3x.

Hence the function that best fits the data is given by:

f(x) = 3x².

More can be learned about scatter plots at brainly.com/question/22968877

#SPJ1

5 0

2 years ago

Since insulin u-100 is 100 units/mL,which of the following shortcuts can be used to convert a dose of u-100 insulin given in uni

N76 [4]

Answer:

The shortcuts is

Divide number of units by 100

Step-by-step explanation:

From the question we are told that

insulin u-100 is $L = 100 \ unit /mL$

From the data given above we see that

100 units of insulin u-100 is contained in 1 mL

So 1 unit of u-100 is contained in x mL

=> $x = \frac{1}{100} \ mL$

This means that a unit of insulin u-100 occupies $x = \frac{1}{100} \ mL$

So we can represent a single unit of insulin u-100 as $\frac{1}{100} \ mL$

Now if 1 unit of insulin u-100 is represented as $\frac{1}{100} \ mL$

Then y unites of insulin u-100 is represented as z

So

$z = \frac{y}{100} \ mL$

From the above calculation we can see that the shortcuts to convert u-100 insulin given in units, to mL is to divide number of units by 100

6 0

2 years ago

Pls help <br><br>What is the range of the function graphed above?!!!!

Flura [38]

I think it’s -infinity

5 0

2 years ago

PLEASE HELP OMG THIS IS SO HARD

Ganezh [65]

It should just be y = 40x :)

4 0

2 years ago