Answer:
28/165
Step-by-step explanation:
You always use the order of operations, and the order of operations says to solve parentheses first, so you would solve 5/9 - 1/6, and get 7/18.
You would do exponents next, if there were any, but there is not, so you move on to the next operation(s).
The next operations are multiplication and division. From left to right, multiplication is first, so you solve 8/11 x 7/18 and get 28/99. Then, there is a division problem to solve. The problem is 28/99 ÷ 15/9. If you solve that correctly, you will get the answer 28/165.
The next step would be to simplify 28/165, but it cannot be simplified, so you are left with the answer 28/165.
To find concavity we need to find the second derivative.
Use quotient rule to find f'(x)=4/(x+3)^2
Then use chain rule to find f''(x)=-8/(x+3)^3
To find potential inflection points, we need to find all x values where the second derivative is equal to 0 or is undefined.
Set the numerator and denominator equal to 0 and solve.
(x+3)^3=0
x+3=0
x= -3
Now plug a value less than -3 and greater than -3 into the second derivative to find where the concavity is upward (positive number).
Since f''(-4) is positive, that means that f(x) is concave up on the interval (-infinity, -3).
Answer: 85
Step-by-step explanation:
To solve this problem, we want to use the order of operations, or PEMDAS.
Parenthesis
Exponent
Multiply
Divide
Add
Subtract
To be more specific, you evaluate the expression in the order from top to bottom. To clarify, it is multiply OR divide, depending on which comes first, left to right. This also applies to add OR subtract.
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20÷(5-3)+5²(3) [solve parenthesis]
20÷(2)+5²(3) [solve exponent]
20÷2+25(3) [solve multiply or divide, left to right]
10+75 [solve add or subtract]
85
Answer:
I’m pretty sure it’s a, c, e
Step-by-step explanation:
I’m not sure
Answer:
-5 & 1
Step-by-step explanation:
[x² + 2(x)(2) + 2²] - 2² - 5 = 0
(x+2)² - 4 - 5 = 0
(x+2)² = 9
x+2 = +/- 3
x+2 = 3 x = 1
x+2 = -3 x = -5
