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3 years ago

What is 3x+2x(x-1)=9x+4

1 answer:

5 0

3x+2(x-1)=9x=4
We move all terms to the left:
3x+2(x-1)-(9x)=0
We add all the numbers together, and all the variables
-6x+2(x-1)=0
We multiply parentheses
-6x+2x-2=0
We add all the numbers together, and all the variables
-4x-2=0
We move all terms containing x to the left, all other terms to the right
-4x=2
x=2/-4
x=-1/2

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What’s seven more than the quotient of a number and 2 is 10

arsen [322]

Okay. That formula is set up like this: (n / 2) + 7 = 10. First, we subtract 7 from both sides. When that is done, you should get n/2 = 3. Next, you must multiply each side by 2 to isolate the “n”. When you do this correctly, you should get 6. If you need to check the answer, plug it in. When we check it, the number works. n = 6.

4 0

3 years ago

A patient is given a 100-milligram dosage of a drug that decays exponentially at a rate of 11% per hour. The doctor wants to kno

I am Lyosha [343]

Answer:

This is an example of exponential decay (somewhat similar to half-life).

If it decays at 11% per hour we can calculate its half-life by this formula:

half life = [ time • ln (2) ] ÷ ln (beginning amount ÷ ending amount)

where "ln" means natural log

half life =[ 1 hour * .69315] / ln (100 / 89)

half life =[.69315] / ln (1.1235955056)

half life =[.69315] / 0.11653381624

half life = 5.9481 hours

We need "lambda" "λ" (the decay constant) which equals

λ = ln(2) / half-life = .693147 / 5.9481 = 0.1165325062

Now we need a formula for the time required:

time = ln (Nt ÷ N0) ÷ -λ where No = beginning amount (100 milligrams) Nt = ending amount (15 milligrams)

time = ln (15 ÷ 100) ÷ -0.1165325062

time = ln (.15) / -0.1165325062

time = -1.8971199849 / -0.1165325062

time = 16.2797492885 hours

Source: https://www.1728.org/halflif2.htm

Step-by-step explanation:

4 0

3 years ago

. Suppose the coordinate of A is 0 and AR = 5 and AT = 7.

ASHA 777 [7]

<h3>Possible coordinates of R = -5 or 5</h3><h3>Possible coordinates of T = -7 or 7</h3>

==================================================

Explanation:

If we're on a number line, then R could be at either R = 5 or R = -5. This is so the distance from A to R is 5 units. Distance is never negative. You count out the spaces to get the distance, or use subtraction and absolute value.

Saying "distance from A to R is 5" can be written as AR = 5. Meaning segment AR is 5 units long.

Now if AT = 7, then T could be at 7 or -7 on the number line. The reasoning as similar as to why R could be at -5 or 5.

8 0

4 years ago

Explain how to use the area of a rectangle to find the area of a parallelogram

anygoal [31]

Answer:

Step-by-step explanation:

Because base x height gives the area of the rectangle, we can use the same measurements on the parallelogram to compute its area: base x height. (As before, "height" is measured perpendicular to the base, and "base" is whichever side you chose first.)

5 0

3 years ago

The sequence an = one third (3)n - 1 is graphed below: Find the average rate of change between n = 3 and n = 4.

defon

$\bf slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby 
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}
\\\\\\
\begin{cases}
x_1=3\\
x_2=4
\end{cases}\implies \cfrac{f(4)-f(3)}{4-3}\implies \cfrac{9-3}{4-3}\implies \cfrac{6}{1}\implies 6$

8 0

3 years ago