<span> (17.) f(x)=x+3; g(x)=1/x^2
</span><span>If you take B f(x)=x+3 g(x)=1/x^2 plug the f(x) into the g(x) formula (in other words, f(x) becomes the x for g) g(x)=1/x^2 g(x)=1/(x+3)^2
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Answer:
13 4/5 pounds
Step-by-step explanation:
You multiply 4 3/5 by 3, which equals 13.8, which equals 13 4/5 pounds.
Answer:
135,000 times
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one. Please have a look at the attached photo.
<u>We need to know the size of your bakery store. </u>
As we can see, the entire shopping center is: 45000 square feet and your shop is 1/10 of that space
=> Your shop area is: 45000*1/10 = 4500 square feet
In the question, they want to know how many thirtieths of the space does it take up, so let say thirtieths in numerical is: 1/30
Hence, the number of thirtieths it takes:
=
= 135,000 times
Hope it will find you well.
Answer:
n = π/6, π/4, 3π/4, 5π/6
Step-by-step explanation:
sin(3n) − sin n = cos(2n)
Use double and triple angle formulas:
(3 sin n − 4 sin³ n) − sin n = 1 − 2 sin² n
2 sin n − 4 sin³ n = 1 − 2 sin² n
4 sin³ n − 2 sin² n − 2 sin n + 1 = 0
Factor by grouping:
2 sin² n (2 sin n − 1) − (2 sin n − 1) = 0
(2 sin² n − 1) (2 sin n − 1) = 0
Solve:
2 sin² n − 1 = 0
2 sin² n = 1
sin² n = 1/2
sin n = √2/2
n = π/4, 3π/4
2 sin n − 1 = 0
2 sin n = 1
sin n = 1/2
n = π/6, 5π/6
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Explanation:</h2><h2 />
When we say "a is at most b" we mean that "a is less than or equal to b" or "a is not greater than b". So let's solve this problem as follows:
Step 1. Twice the difference of a number and 2
Let's call that unknown number as n. Then, twice the difference of a number and 2 is:

Step 2. Twice the difference of a number and 2 is at most -27

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So the mathematical form of the statement <em>twice the difference of a number and 2 is at most -27 </em>is:
