Answer:
4x² + 4x + 1
Step-by-step explanation:
We know that (a + b)² = a² + 2ab + b², therefore, (2x + 1)² = 4x² + 4x + 1.
B) multiplication of improper fractions: 4/3 x 4/3
expressed as improper fraction: 16/3
product expressed as mixed number: 5 1/3
why: 4 x 4 = 16, keeping the denominator (3) is 16/3. 16 isn't a multiple of 3, the closest is 15, and 15 / 3 is 5, but we since we have 16, we have one left, so it'd be 5 1/3
c) multiplication of improper fractions: 7/3 x 3/2
expressed as improper fraction: 21/6
product expressed as mixed number: 3 3/6 = 3 1/2
why: 7 x 3 = 21, 2 x 3 is 6, combine it, 21/6. multiple of 6 that is closest to 21 is 18. 18 / 6 = 3. we have 3 numbers left over. (21 - 18 = 3) so it's the 3 that we get, plus the 3 that we have left, is 3 3/6
d) multiplication of improper fractions: 11/6 x 7/5
expressed as improper fraction: 77/30
product expressed as mixed number: 2 17/30
why: 11 x 7 = 77, 6 x 5 = 30, combine it, 77/30. 77 goes into 30 twice. (30 x 6 = 60, can't add another 30, because its more than 77) we have 17 numbers left over, (77 - 60 = 17) so it's 2 17/30. can't reduce 17/30 because 17 doesn't have any common factors with 30. hope i helped!
A
40,000-31,850= 8,150times .25= 2,037.50
4,386.25+2,037.50= $6,423.75
<h2>Writing the Inverse of a Function</h2><h3>
Answer:</h3>
![f^{-1}(x) = \sqrt[3]{\frac{x +5}{3}}\\](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7Bx%20%2B5%7D%7B3%7D%7D%5C%5C)
<h3>
Step-by-step explanation:</h3>
<em>Please refer to my Answer from this Questions to know more about Inverse Functions: <u>brainly.com/question/24619467</u></em>
Let 
so that the inverse of 
is equal to 
.
Solving for :
![f(x) = 3x^3 -5 \\ y = 3x^3 -5 \\ x = 3y^3 -5 \\ 3y^3 -5 = x \\ 3y^3 = x +5 \\ y^3 = \frac{x +5}{3} \\ y = \sqrt[3]{\frac{x +5}{3}}](https://tex.z-dn.net/?f=f%28x%29%20%3D%203x%5E3%20-5%20%5C%5C%20y%20%3D%203x%5E3%20-5%20%5C%5C%20x%20%3D%203y%5E3%20-5%20%5C%5C%203y%5E3%20-5%20%3D%20x%20%5C%5C%203y%5E3%20%3D%20x%20%2B5%20%5C%5C%20y%5E3%20%3D%20%5Cfrac%7Bx%20%2B5%7D%7B3%7D%20%5C%5C%20y%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7Bx%20%2B5%7D%7B3%7D%7D)
Since the inverse of is equal to , .
