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taurus [48]
3 years ago
11

If you subtract 12 from my number and multiply the difference by -3, the result is -54.

Mathematics
1 answer:
worty [1.4K]3 years ago
4 0

Answer:

the answer is 30

Step-by-step explanation:

Let the number be x

- 3 (x - 12) = - 54

-3x + 36 = -54

-3x = -54 - 36

-3x = -90

x = -90/-3

x = 30

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Mashcka [7]

Answer:

f'(x) > 0 on (-\infty ,\frac{1}{e}) and f'(x)<0 on(\frac{1}{e},\infty)

Step-by-step explanation:

1) To find and interval where any given function is increasing, the first derivative of its function must be greater than zero:

f'(x)>0

To find its decreasing interval :

f'(x)

2) Then let's find the critical point of this function:

f'(x)=\frac{\mathrm{d} }{\mathrm{d} x}[6-2^{2x}]=\frac{\mathrm{d} }{\mathrm{d}x}[6]-\frac{\mathrm{d}}{\mathrm{d}x}[2^{2x}]=0-[ln(2)*2^{2x}*\frac{\mathrm{d}}{\mathrm{d}x}[2x]=-ln(2)*2^{2x}*2=-ln2*2^{2x+1\Rightarrow }f'(x)=-ln(2)*2^{2x}*2\\-ln(2)*2^{2x+1}=-2x^{2x}(ln(x)+1)=0

2.2 Solving for x this equation, this will lead us to one critical point since x'  is not defined for Real set, and x''=\frac{1}{e}≈0.37 for e≈2.72

x^{2x}=0 \ni \mathbb{R}\\(ln(x)+1)=0\Rightarrow ln(x)=-1\Rightarrow x=e^{-1}\Rightarrow x\approx 2.72^{-1}x\approx 0.37

3) Finally, check it out the critical point, i.e. f'(x) >0 and below f'(x)<0.

8 0
3 years ago
True or false 2(a + 6) is equivalent to 2a + 13?
katen-ka-za [31]

Answer:

false

Step-by-step explanation:

5 0
3 years ago
Apply the distributive property to factor out the greatest common factor.<br> 4+10=
almond37 [142]

4 + 10 = 2 x 2 + 2 x 5 = 2 x (2 + 5)

4 0
2 years ago
Mrs. Lane took a survey of the types of pants her students were wearing. She collected the data at the right. What percent of he
Nadya [2.5K]

Answer:

It is always important to go through the given problem first to get a concept of the requiremement. Then all the information's available from the question has to be noted down in such a manner that there would be no need to look at the question while solving.

Total number of students wearing jeans = 10

Total number of students wearing shorts = 9

Total number of students wearing capris = 2

Then the total number of students surveyed by Mrs Lane = (10 + 9 + 2)

                                                                                           = 21

Now percentage of students wearing shorts = (9/21) * 100

                                                                      = (3/7) * 100

                                                                      = 300/7

                                                                      = 42.85 percent

So a total percentage of 42.85% of the students were wearing shorts.

Step-by-step explanation:

6 0
3 years ago
Can I get some help please
Mamont248 [21]
-2(-2)+3=7
-2(0)+3=3
-2(4)+3=-5
3 0
3 years ago
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