What operation is shown when there is a number sitting infront of a variable?

Mathematics

2 answers:

anyanavicka [17]3 years ago

5 0

Answer:

multiplication

Step-by-step explanation:

3x means 3 times the value of x

torisob [31]3 years ago

3 0

Answer:

Multiplication

Step-by-step explanation:

A coefficient is a number that sits in front of a variable, like this: 3x. It means that you're going to multiply 3 times x, or that there are 3 x's. You may be given an equation that looks like this: 3x = 12. In this case, you're going to divide each “side” of the equation by the coefficient of x (3, in our example).

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What is the solution of the inequality -6x-17≥8x+25

Aleksandr-060686 [28]

-6x -17> 8x + 25.
Get x on one side; Subtract 8x from both sides.
-14x -17 > 25.
Add 17 to both sides to get x by itself.
-14x>42.
Divide both sides by -14 (remember to flip the inequality when dividing by negatives).
x <_ 3 is your solution (line under the inequality).
I hope this helps!

3 0

4 years ago

Read 2 more answers

A standard piece of paper is 0.05 mm thick. Let's imagine taking a piece of paper and folding the paper in half multiple times.

tatyana61 [14]

Answer:

(a) $g(n)=0.05\cdot 2^n$

(b) $g^{-1}(n)=\log_{2}20g(n)$

Step-by-step explanation:

Part A

The paper's thickness = 0.05mm

When the paper is folded, its width doubles (increases by 100%).

The thickness of the paper grows exponentially and can be modeled by the function:

$g(n)=0.05(1+100\%)^n\\\\g(n)=0.05\cdot 2^n$

Part B

$g(n)=0.05\cdot 2^n\\2^n=\dfrac{g(n)}{0.05}\\ 2^n=20g(n)\\$Changing to logarithm form, we have:\\\log_{2}20g(n)=n\\$Therefore:\\g^{-1}(n)=\log_{2}20g(n)$

Part C

If the thickness of the paper, g(n)=384,472,300,000 mm

Then:

$g^{-1}(n)=\log_{2}20g(n)\\g^{-1}(n)=\log_{2}20\times 384,472,300,000\\=\dfrac{\log 20\times 384,472,300,000}{\log 2} \\g^{-1}(n)=42.8 \approx 43\\n=43$