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Goryan [66]
3 years ago
15

Is this right and if it's not could you please tell me the answer

Mathematics
1 answer:
Artist 52 [7]3 years ago
6 0

Answer:

3x+ 5 = 6 . Correct.

Step-by-step explanation:

Let x = the number.

          The number tripled: 3x

Tripled and increased by : 3x + 5

                                Equals 6: 3x+ 5 = 6

Correct.

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Ruiz needs to buy a countertop for a kitchen. He calculated the area to be 16 square feet. The actual area is 15.4 square feet.
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Percentage error =\frac{error}{actual measurement}  \times 100
Here error = 16 - 15.4 = 0.6
Therefore, percentage error =\frac{0.6}{15.4}  \times 100=0.039 \times 100
=3.9%
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3 years ago
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What is true about the solution of x^2 / 2x - 6 = 9 / 6x - 18
DanielleElmas [232]

\text{The domain}\\2x-6\neq0\ \wedge\ 6x-18\neq0\to x\neq3\\\\\dfrac{x^2}{2x-6}=\dfrac{9}{6x-18}\\\\\dfrac{x^2}{2(x-3)}=\dfrac{9}{6(x-3)}\ \ \ |\cdot6\\\\\dfrac{3x^2}{x-3}=\dfrac{9}{x-3}\iff3x^2=9\ \ \ |:3\\\\x^2=3\to x=\pm\sqrt3

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Emma has a spool of ribbon that has 5 meters on it. She cut a length of ribbon that was 0.9 meters long. Then she cut another le
Inessa05 [86]

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2.6 meters.

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5-0.9 is 4.1, minus 1.5 is 2.1.

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Rewrite the quadratic function in vertex form.<br> Y=3x^2-12x+4
chubhunter [2.5K]

Answer:

\large\boxed{y=3(x-2)^2-8}

Step-by-step explanation:

The vertex form of an equation of a parabola y = ax² + bx + c:

f(x)=a(x-h)^2+k

(h, k) - vertex

h=\dfrac{-b}{2a},\ k=f(h)

We have the equation:

y=3x^2-12x+4\\\\a=3,\ b=-12,\ c=4

Substitute:

h=\dfrac{-(-12)}{2(3)}=\dfrac{12}{6}=2\\\\k=f(2)=3(2^2)-12(2)+4=3(4)-24+4=12-24+4=-8

Finally:

y=3(x-2)^2+(-8)=3(x-2)^2-8

4 0
3 years ago
A small combination lock on a suitcase has 55 ​wheels, each labeled with the 10 digits 0 to 9. How many 55 digit combinations ar
den301095 [7]
Suppose a_n is the number of possible combinations for a suitcase with a lock consisting of n wheels. If you added one more wheel onto the lock, there would only be 9 allowed possible digits you can use for the new wheel. This means the number of possible combinations for n+1 wheels, or a_{n+1} is given recursively by the formula

a_{n+1}=9a_n

starting with a_1=10 (because you can start the combination with any one of the ten available digits 0 through 9).

For example, if the combination for a 3-wheel lock is 282, then a 4-wheel lock can be any one of 2820, 2821, 2823, ..., 2829 (nine possibilities depending on the second-to-last digit).

By substitution, you have

a_{n+1}=9a_n=9^2a_{n-1}=9^3a_{n-2}=\cdots=9^na_1=10\times9^n

This means a lock with 55 wheels will have

a_{55}=10\times9^{54}

possible combinations (a number with 53 digits).
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