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I am Lyosha [343]
3 years ago
6

When asked to write the prime factorization of the number 27, a student wrote 9.3. Explain the error and write the correct answe

r.
Mathematics
1 answer:
ivann1987 [24]3 years ago
7 0
The error is that the student put a decimal point in between the 9 and 3 instead of a multiplication sign.The answer is 9x3
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Given f(x) = 4x + 2, find f-1(3).
Alexxandr [17]

Answer:

  1/4

Step-by-step explanation:

The inverse function tells you the input value that corresponds to the given output value of the function.

<h3>Application</h3>

You want f^-1(3), which is the value of x such that f(x) = 3.

  f(x) = 3 = 4x +2

  1 = 4x . . . . . . subtract 2

  1/4 = x . . . . . divide by 4

The inverse function of 3 is 1/4:

  \boxed{f^{-1}(3)=\dfrac{1}{4}}

4 0
2 years ago
Solve the following proportion for 17/13=9/u
ValentinkaMS [17]

Answer:

<h2>u = 6.88</h2>

Solution,

\frac{17}{13}  =  \frac{9}{u}

Sinplify the equation using cross multiplication

17 \times u = 13 \times 9

Calculate the product

17u = 117

Divide both sides of the equation by 17

\frac{17u}{17}  =  \frac{117}{17}

Calculate

u = 6.88

Hope this helps...

Good luck on your assignment..

8 0
3 years ago
A company is to hire two employees. They have prepared a final list of eight candidates, all of whom are equally qualified. Of t
Softa [21]

Answer:

i) Probability that both candidates employed are women = 5/14

ii) Probability that the second candidate is a woman = 5/8

iii) Probability that the first candidate is a woman given that second one is a woman = 4/5

Step-by-step explanation:

Let the probability that a man is employed be P(M) = 3/8

Probability that a woman is employed P(W) = 5/8

a) Probability that both candidates employed are women = (5/8) × (4/7) = 5/14

b) Probability that the second candidate is a woman = (probability that first candidate is a man and second candidate is a woman) + (probability that first candidate is a woman & second candidate is a woman)

= (3/8)(5/7) + (5/8)(4/7) = (15/56) + (20/56) = 35/56 = 5/8

c) Probability that the first candidate is a woman given that second one is a woman

Given that the second candidate was a women, means that the first candidate-women was selected among other four women.

Probability = (4/8)/(5/8) = 4/5

7 0
3 years ago
Can you guys help me with this one please
PilotLPTM [1.2K]

Answer:

1 to 100,000

Step-by-step explanation:

1 km is equivalent to 100,000 cm.

3 0
3 years ago
I need help on math.<br>h(x)=8x-10<br>h( )=62
andriy [413]

Simplifying

8x + -10 = 62


Reorder the terms:

-10 + 8x = 62


Solving

-10 + 8x = 62


Solving for variable 'x'.


Move all terms containing x to the left, all other terms to the right.


Add '10' to each side of the equation.

-10 + 10 + 8x = 62 + 10


Combine like terms: -10 + 10 = 0

0 + 8x = 62 + 10

8x = 62 + 10


Combine like terms: 62 + 10 = 72

8x = 72


Divide each side by '8'.

x = 9


Simplifying

x = 9

3 0
4 years ago
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