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soldi70 [24.7K]
3 years ago
7

Determine The number of solutions 3(x-4)=2x+6

Mathematics
1 answer:
Trava [24]3 years ago
3 0

Answer:

The answer will be listed below.

Step-by-step explanation:

First of all, you want x to by itself, so distribute the three to both x and negative 4 so you'll get 3x-12=2x+6.

Now, subtract 2x from both sides and add 12 to both sides and you'll get an answer of x=19. From that, you are able conclude that this equation has one solution.

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Translate the sentence into an inequality.
Vadim26 [7]

Answer:

9(n + 22) ≤ -15

Step-by-step explanation:

9 times the sum of a number and 22 is at most −15

Let n = number

Times = multiplication

Sum = Addition

9 * n + 22

We must add parenthesis on the end on 22 and before n

We must do this because it says 9 times the sum of a number and 22 which means that 9 is being multiplied by both n and 22

We would have 9(n + 22)

9(n + 22) is at most -15

At most meaning that -15 is the highest number that 9(n + 22) can equal

Because it says at most 9(n + 22) can equal -15 or anything less than -15

So at most can be replaced with ≤

9(n + 22) ≤ -15

4 0
2 years ago
9
Zarrin [17]

Answer:

oa

Step-by-step explanation:

7 0
3 years ago
Write 3x^2-18x-6 in vertex form
Vedmedyk [2.9K]
The standard form of a quadratic equation is \displaystyle{ y=ax^2+bx+c, while the vertex form is:

                      y=a(x-h)^2+k, where (h, k) is the vertex of the parabola.

What we want is to write \displaystyle{ y=3x^2-18x-6 as y=a(x-h)^2+k

First, we note that all the three terms have a factor of 3, so we factorize it and write:

\displaystyle{ y=3(x^2-6x-2).


Second, we notice that x^2-6x are the terms produced by (x-3)^2=x^2-6x+9, without the 9. So we can write:

x^2-6x=(x-3)^2-9, and substituting in \displaystyle{ y=3(x^2-6x-2) we have:

\displaystyle{ y=3(x^2-6x-2)=3[(x-3)^2-9-2]=3[(x-3)^2-11].

Finally, distributing 3 over the two terms in the brackets we have:

y=3[x-3]^2-33.


Answer: y=3(x-3)^2-33
6 0
3 years ago
What is the next term in the following sequence?
baherus [9]

Answer:

i not good at this but i think 2 6 18 54 could be the answer if not im so sorry

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Can somebody please help me solve this problmem ?
frez [133]

Answer:

I believe that its 0.22

Step-by-step explanation:

5 0
3 years ago
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