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Vikentia [17]
3 years ago
6

Three times the sum of a number and four is equal to five times the number, decreased by two. If x represents the number, which

equation is a correct translation of the statement?
1) 3(x + 4) = 5x - 2
2) 3(x + 4) = 5(x - 2)
3) 3x + 4 = 5x - 2
4) 3x + 4 = 5(x - 2)
Mathematics
2 answers:
3241004551 [841]3 years ago
8 0


the answer is 2) 3(x+4)=5(x-2)


Vsevolod [243]3 years ago
5 0
So 3 times (3 times) the sum of (+) a number and 4 (x,4)  is equal to (=) five times the number (5x) decreased by 2 (-2)

the equation would be 3(x+4)=5x-2
so if we solve we get
3x+12=5x-2
12=2x-2
10=2x
5=x
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3 years ago
The function of f(x) = 3x + 2 has a domain of -3 &lt; x &lt; 5. What is the domain of f-1(x)?
Flura [38]
<h3>Answer:    -7 < x < 17</h3>

====================================================

Explanation:

Plug in the lower bound of the domain, which is x = -3

f(x) = 3x+2

f(-3) = 3(-3)+2

f(-3) = -9+2

f(-3) = -7

If x = -3, then the output is y = -7. Since f(x) is an increasing function (due to the positive slope), we know that y = -7 is the lower bound of the range.

If you plugged in x = 5, you should find that f(5) = 17 making this the upper bound of the range.

The range of f(x) is -7 < y < 17

Recall that the domain and range swap places when going from the original function f(x) to the inverse f^{-1}(x)

This swap happens because how x and y change places when determining the inverse itself. In other words, you go from y = 3x+2 to x = 3y+2. Solving for y gets us y = (x-2)/3 which is the inverse.

-----------------------

In short, we found the range of f(x) is -7 < y < 17.

That means the domain of the inverse is -7 < x < 17 since the domain and range swap roles when going from original to inverse.

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Montano1993 [528]

Answer:

95%.

Step-by-step explanation:

We have been given that the lifetimes of light bulbs of a particular type are normally distributed with a mean of 370 hours and a standard deviation of 7 hours.

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Therefore, approximately 95% of data points lie within two standard deviation of mean.

7 0
3 years ago
How many is?<br> with procedure and testing<br> PLEASE<br><br> -4x + 13 = 6x - 7
slamgirl [31]
To solve for X you must get x by itself so let's get started
-4x+13=6x-7
subtract 13 from both sides
-4x=6x-20
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divide both sides by -10
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to check if this is correct plug in x into original equation
-4 (2)+13=6 (2)-7
-8+13=12-7
5=5
answer x=2 holds true :)
6 0
3 years ago
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