Answer:
1. (3/2)
2. (20)
3. (3)
4. (-9/5)
5. (-8/7)
6. (-2/3), (4)
Step-by-step explanation:
1. 2. 3. 4.
x 3 12 3 x 1 x + 3 3
/ = / / = / / = / / = /
4 8 x 5 9 x 2 5
8x = 12 60 = 3x x² = 9 5x + 15 = 6
÷8 ÷8 ÷3 ÷3 x = √9 -15 -15
5x = -9
x = (3/2) x = 20 x = 3 ÷5 ÷5
x = (-9/5)
5. 6.
4 - x 3 1 x - 3
/ = / / = /
12 7 2x + 1 9
28 - 7x = 36 9 = 2x^2 - 5x - 3
-28 -28 + 3 + 3
12 = 2x^2 - 5x
-7x = 8 -12 -12
÷-7 ÷-7
2x^2 - 5x - 12 = 0
x = (-8/7)
-b +-√b^2 - 4ac
/ = -(-5)√-5^2 - 4 (2)(-12)
2a /
2(2)
= 5-+√121 5 - 11 -6
/ = / = / = (-2/3)
-4 4 4
= 5 + 11 16
/ = / = (4)
4 4
I hope this helps!
Hello!
hint: we can rewrite your function as below:
<span>3/<span>tan<span>(<span>4x−3π</span>) = </span></span></span>3(1+tan4xtan3π)/tan4x−tan3π =
=<span>3/<span>tan<span>(<span>4x</span>) = </span></span></span>3cot<span>(<span>4x</span><span>)
</span></span>now, since the period P of cotangent function is pi, then the period of cot(4x), which is the period of our original function, is such that:
<span>"4P=π"
Hope this Helps! Have A Wonderful Day! :)</span>
Answer:
A fraction is in simplest form when the top and bottom cannot be any smaller, while still being whole numbers.
Step-by-step explanation:
If this is not a typo, and you mean 15.16 as in 15 and 16 hundredths, we can express this into a mixed number.
Mixed numbers are a whole number with the remainder of that number as a fraction.
For example, 1.25 as a decimal = 1 1/4 as a mixed number.
Since we already have our whole number, 15, we need to know what 16 hundredths is simplified as a fraction.
Currently, our mixed number is 15 16/100.
To simplify this, we need to find a common factor that 16 and 100 share.
Since they are both even numbers, let's divide by 2.
16/2 = 8
100/2 = 50.
Our new mixed number is 15 8/50.
Currently our fraction is still even, so divide by 2 again.
8/2 = 4
50/2 = 25
Your new mixed number is 15 4/25.
4 and 25 have no common factors, so the fraction is simplified.
Your answer is:
15.16 is 15 4/25 as a mixed number.
I hope this helps!
You would have to choose a graph with all x coordinates equaling less than negative 3
your answer would have to be to have all x coordinates to the left of -3 on the x axis
your answer is A :)
