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MaRussiya [10]
3 years ago
9

Eight less than the product of a number and three (algebraic expression)

Mathematics
2 answers:
PtichkaEL [24]3 years ago
8 0
Answer: 3a - 8

The product of ‘a number’ and 3 could be written as 3 x a or 3a

Eight less than 3a means 3a minus 8 or 3a - 8
krek1111 [17]3 years ago
8 0

Answer:

(n * 3) + 8 ... or ... 3n + 8

Step-by-step explanation: Hope this helps

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Neporo4naja [7]

Answer:

Graph #2

Step-by-step explanation:

I would use Desmos for this, makes it easier to find out which graph is for the equation.

3 0
3 years ago
find two positive real numbers such that they sum to 108 and the product of the first times the square of the second is a maximu
topjm [15]

The two positive numbers are 36 and 72 which gives a sum equal to 108 and the product of 36 and the square of 72 is a maximum.

Any integer greater than zero is considered a positive number. A positive number can either be written as a number or with the "+" symbol in front of it.

Let us consider the two positive real numbers as x and y. Then, their sum is written as,

x+y=108

Then, y=108-x

And the product is written as,

P=xy²

Substitute value of y in the above equation, we get,

\begin{aligned}P&=x(108-x)^2\\&=x(11664-216x+x^2)\\&=11664x-216x^2+x^3\\&=x^3-216x^2+11664x\end{aligned}

Now, differentiate P with respect to x, and we get,

\begin{aligned}\frac{dP}{dx}&=3x^2-432x+11664\\&=x^2-144x+3888\end{aligned}

Solving the above equation to zero, we get,

\begin{aligned}x^2-144x+3888&=0\\x^2-36x-108x+3888&=0\\x(x-36)-108(x-36)&=0\\(x-108)(x-36)&=0\\x&=\text{108 or 36}\end{aligned}

Substitute values of x in y=108-x, to get values of y.

If we substitute x=108, we get the y value as zero which doesn't give the required solution.

But, if we substitute x=36, we get,

\begin{aligned}y&=108-36\\y&=72\end{aligned}

Thus, the two positive numbers are 36 and 72.

To know more about positive numbers:

brainly.com/question/1635103

#SPJ4

4 0
1 year ago
Which expression is equivalent to \left(3^{-6}\times 3^{3}\right)^{-1}\normalsize?(3 −6 ×3 3 ) −1 ? 3^{-19}3 −19 3^{18}3 18 3^{-
mars1129 [50]

Answer:

27

Step-by-step explanation:

Given the expression

\left(3^{-6}\times 3^{3}\right)^{-1}\\

According to law of indices, this can be written as;

\left(3^{-6+3})^{-1}\\\\= (3^{-3})^{-1}\\\\= 3^{-3*-1}\\\\= 3^3\\\\= 27

Hence the required answer is 27

5 0
2 years ago
50 points! Mhanifa please help! Everyone is putting random answers when I post a question and I need this done asap! DONT ANSWER
Genrish500 [490]

Answer:

  • x = 26°

Step-by-step explanation:

The first two questions are answered here

  • brainly.com/question/21794653
<h3>Question 3</h3>

Use the equation for exterior angle

<u>Exterior angle  = sum of non-adjacent interior angles</u>

  • 5x - 2 = 2x + 76
  • 5x - 2x = 76 + 2
  • 3x = 78
  • x = 26
6 0
3 years ago
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I need help with 29 c
Snowcat [4.5K]
The answer is b becuase my sister had that homework
7 0
3 years ago
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