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serg [7]
3 years ago
8

Complete the square 6v^2-12v-18=0 showing work

Mathematics
1 answer:
blagie [28]3 years ago
7 0
1. All variables go on one side and all numbers with no variables go on opposite side. Remember that if you bring one number or variable to one side, you must change its sign:

6v^2 - 12v = 0 + 18


2. Combine like terms then you get your answer:

6v^2 - 12v = 18
You might be interested in
What is the sign of a^72*(-3/7) when a is a negative number
Elis [28]

Answer:

Sign is positive

Step-by-step explanation:

Negative number^72=negative number

negative number *(-3/7)=posigive number

7 0
3 years ago
If two cylinders are similar and the ratio between the altitude lengths is 2:3, what is the ratio of their volumes
hram777 [196]
Given:

ratio of altitude height = 2/3

Required:

ratio of volume

Solution:

Assuming that the only difference that the cylinders has is the height, we can solve for the ratio of the volume.

The volume of a cylinder is equal to πr²×height.

ratio of volume = πr²×2/πr²×3

We cancel the pi and the r² since we assume that the cylinders have the same radius.By cancelling, we are left with:

ratio of volume = 2/3
8 0
3 years ago
L need the answer for this question asap!!!
DochEvi [55]
<h2>Answer:</h2><h3>A. Domain </h3>

The domain of a function is the x-values that the graph applies to. This means that the domain is whatever x-values the graph crosses. All vertical parabolas (like the one pictured) have a domain of all reals. This is because any x-value could be plugged into the function and provide a y-value. while it may not seem like it, that graph will cover every single x-value in existence.

  • Domain = All reals

<h3>B. Range</h3>

The range is similar to the domain but is for y-values. So, the range is whatever y-values the graph applies to and crosses. As you can see from the graph, there are no y-values above 1. This means the range is y≤1.

  • Range = y ≤ 1

<h3>C. Increasing Interval</h3>

A graph is increasing when the y-values are increasing. So, on the parent function of a parabola, the graph increases to the right and decreases to the left. However, this graph is inverted and shifted to the left, so the interval will also be flipped and shifted. In this case, the graph increases from -∞ to 2.

  • Increasing Interval = [-∞, 2]

<h3>D. Decreasing Interval</h3>

The decreasing interval is very similar to the increasing interval. This interval applies when the y-values are decreasing as the x-values increase. For a parabola, the increasing and decreasing intervals always meet at the x-value of the vertex, which is 2 on this graph. The y-values decrease during the interval 2 to ∞.

  • Decreasing Interval = [2, ∞]

<h3>E. Opening</h3>

The direction of a parabola is decided by the sign (+ or -) of the leading coefficient. Positive coefficients open up and negative opens down. As you can see from the graph, the sides of the parabola point downwards. This means that the leading coefficient must be negative.

  • Opening = Down

<h3>F. Min and Max</h3>

A parabola will always only have a min or a max, never both. If a graph opens up it has a min because there is one y-value which is the minimum possible y-value. Graphs that open downwards have a maximum because there is one y-value that is the largest possible. So, this graph has a maximum of 1 because that is the largest possible y-value.

  • Max = 1
4 0
2 years ago
0.037 in scientific notation
Sedaia [141]

\huge\boxed{3.7\ \times\ 10^{-2}}

First, you need to find where you can move the decimal point to so that there is only one non-zero digit to the left of it.

Move the decimal point, and that is the first part done.

Add "\times\ 10".

For the last part - the power, you need to find how many decimal places you moved the decimal point. In this case, we moved it to the right 2 places, so the power is ^{-2}.

If, for example, we had moved the decimal point three places to the left, the power would be ^{3}.

7 0
3 years ago
How many places do you need to move the decimal to the left to write the number below in scientific notation?
bonufazy [111]

Answer:

A) 1.3*10¹

B)7*10⁰ - Actually I am not very sure if it is required to write 10⁰. I normally don't write 10⁰ (When I solve problems in physics if the answer for example is 7 I just write 7 not 7*10⁰). But if you check on Google 10⁰ has been mentioned

C)1.4*10¹

D)1.2*10¹

Step-by-step explanation:

For any number when you express it in a scientific notation, You should make sure that the number (for example : X) X which is going to be multiplied with a power of 10 (for example:10³,10⁴10¹⁰ etc), X should be between 1 and 10

This might sound very complicated so I can give you an example to simplify

Let's take 1.3*10¹

In this case X is 1.3

This means X*10¹

The number X is being multiplied with the power of 10(example:10¹,10²,10⁰,10⁹ ,etc) .In the above case X is being multiplied with 10¹.

Now this number X should be between 1 and 10.(Including 1)

Scientific notation= X*power of 10

where x>=1 & x<10

That is the explanation

Hope it helps

If you think my explanation is a bit complicated

you can ask me again

5 0
3 years ago
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