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PilotLPTM [1.2K]
3 years ago
9

Jane thinks of a number. call it X. She doubles her number, then adds 5 to double the number. What is the number?​

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

Answer:

4X + 5

Step-by-step explanation:

We start with the unknown number, X.

Doubling the number :

⇒ 2 × X

⇒ <u>2X</u>

<u />

Adding 5 to double the number :

⇒ 2(2X) + 5

⇒ 4X + 5

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If g(x) = x^2 + 6x with x ≥ -3, find g ^-1(0).
Dvinal [7]

Answer: 0

<u>Step-by-step explanation:</u>

g(x) = x² + 6x   ; x ≥ -3

To find the inverse, swap the x's and y's and solve for "y":

    x = y² + 6y

x + 9 = y² + 6y + 9   <em>add 9 to both sides to create a perfect square</em>

x + 9 = (y + 3)²

+/-\sqrt{x+9} = y + 3   <em>take square root of both sides</em>

-3 +/-\sqrt{x+9} = y    ; y ≥ -3

g⁻¹(0) = -3 +/-\sqrt{0+9}

        = -3 +/-\sqrt{9}

        = -3 ± 3

        = -3 + 3   ,   -3 - 3

        =     0      ,      -6

since the restriction is: y ≥ -3, then -6 is not valid

4 0
3 years ago
A pet store is having a pet fish sale. Lenny bought p platies and l loaches. Write an algebraic expression to represent the tota
IrinaK [193]
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4 0
4 years ago
Read 2 more answers
On a true-false quiz, the probability of achieving a perfect score by guessing is halved for each additional question on the qui
Crank
For each question, there is a 1/2 chance at getting the question correct by guessing.

Let's take a scenario to better understand.
Suppose the true-false paper has 5 questions. For a perfect score by guessing, you'd need to get all 5 correct (ie (1/2)⁵)
The reason why you multiply is because you need each 1/2 simultaneously for a perfect score, which is an important concept when doing binomial probability later on.

Thus, let's use this knowledge to answer the question.
We need the minimum amount of questions such that the probability is less than 1/10.

We can write an inequality for this:

\frac{1}{10} < \frac{1}{2}^{n}
Now, we need to log both sides to find n.
log_(\frac{1}{2}) \frac{1}{10} < n
n > 3.3219...
n ≈ 4

Thus, 4 questions is the minimum number of questions needed.
6 0
3 years ago
HELP say im getting it wrong <br><br>the perimeter of the polygons is ?​
lara [203]
So the answer would be16*4=64
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3 years ago
What is the fraction 18/24 reduce to its lowest terms
zaharov [31]
\frac{18}{24} = \frac{6\times 3}{6\times 4} = \boxed{\frac{3}{4}}
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