Answer:
9.73 × 10-1
Step-by-step explanation:
answer is -1 < x < 5
-|x - 2|+ 9 > 6
Rearrange the terms
-|x - 2| > 6 - 9
-|x - 2| > - 3
then divide both sides of the inequality by the co- efficient of variable
|x - 2| < 3
convert the absolute inequality to standard inequality
-3 <x - 2 < 3
separate compound inequalities into system of inequality
{x - 2}> -3
{x - 2 < 3}
Rearrange variable to the left side of the equation
x > -3 + 2
calculate the sum or difference
x > -1
x -2 < 3
Rearrange variable to the left side of the equation
x < 3 + 2
calculate the sum or difference
x < 5
x > -1 and x < 5
Find intersection
-1 < x < 5
Equations and inequalities are both mathematical sentences formed by relating two expressions to each other. In an equation, the two expressions are deemed equal which is shown by the symbol =. Where as in an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
learn more about inequality equation here :https://brainly.in/question/15934172
SPJ9
These are 8 questions and 8 answers:1) Quesion 1: 9+√2
---------
4 - √7
Answer: the third option:36 + 9√7 + 4√2 + √14
-----------------------------
9
Explanation: Multiply both numerator and denominator by the conjugate of the denominator.
The conjugate of 4 - √7 = 4 + √7
=>

2) Question 2: sum
Answer: fourth option
Explanation:Take x^5 out of the second radical which will result in a like term of the first radical:
![5x( \sqrt[3]{x^2y} )+2( \sqrt[3]{x^5y}) =5x( \sqrt[3]{x^2y} )+2x( \sqrt[3]{x^2y})=7x( \sqrt[3]{x^2y})](https://tex.z-dn.net/?f=5x%28%20%5Csqrt%5B3%5D%7Bx%5E2y%7D%20%29%2B2%28%20%5Csqrt%5B3%5D%7Bx%5E5y%7D%29%20%3D5x%28%20%5Csqrt%5B3%5D%7Bx%5E2y%7D%20%29%2B2x%28%20%5Csqrt%5B3%5D%7Bx%5E2y%7D%29%3D7x%28%20%5Csqrt%5B3%5D%7Bx%5E2y%7D%29%20%20)
which is the fourth option
3) Question 3. Which expression is equivalent to:
Answer: the first optionExplanation
4) Question 4 What is the simplest form?Answer: the second optionExplanation:
5) Question 5 Product Answer: the fourth option:![104x^4+16x^4 \sqrt{30} [/tex]\\Explanation:\\Use the square of a binomial product: (a + b)^2 = a^2 + 2ab + b^2\\[tex](4x \sqrt{5x^2} )^2+2(4x \sqrt{5x^2})(2x^2 \sqrt{6}) +(2x^2 \sqrt{6} )^2=](https://tex.z-dn.net/?f=104x%5E4%2B16x%5E4%20%5Csqrt%7B30%7D%20%5B%2Ftex%3C%2Fstrong%3E%5D%5C%5C%3Cstrong%3EExplanation%3A%3C%2Fstrong%3E%5C%5CUse%20the%20square%20of%20a%20binomial%20product%3A%20%28a%20%2B%20b%29%5E2%20%3D%20a%5E2%20%2B%202ab%20%2B%20b%5E2%5C%5C%5Btex%5D%284x%20%5Csqrt%7B5x%5E2%7D%20%29%5E2%2B2%284x%20%5Csqrt%7B5x%5E2%7D%29%282x%5E2%20%5Csqrt%7B6%7D%29%20%2B%282x%5E2%20%5Csqrt%7B6%7D%20%29%5E2%3D)


which is the fourth option.
6) Question 6 Product
Answer: fourth option
Explanation:
![\sqrt[3]{16x^7} . \sqrt[3]{12x^9} = \sqrt[3]{2^4.2^2.3x^7x^9} = \sqrt[3]{2^6.3.x^{16}}=2^2 x^5 \sqrt[3]{3x} =4 x^5\sqrt[3]{3x}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B16x%5E7%7D%20.%20%5Csqrt%5B3%5D%7B12x%5E9%7D%20%3D%20%5Csqrt%5B3%5D%7B2%5E4.2%5E2.3x%5E7x%5E9%7D%20%3D%20%20%5Csqrt%5B3%5D%7B2%5E6.3.x%5E%7B16%7D%7D%3D2%5E2%20x%5E5%20%5Csqrt%5B3%5D%7B3x%7D%20%3D4%20x%5E5%5Csqrt%5B3%5D%7B3x%7D%20)
which is the fourth option.
7) Question 7. Simplified form of 2√18 + 3√2 + √162
Answer: 18√2
Explanation:

which is the second option.
8) Question 8 which function is undefined for x = 0.
Answer: second option y = √ (x - 2)
Explanation.
The square root function is not defined for negative values.
When x = 0, x - 2 = -2, whose square root is not defined.
Therefore, the square root of x - 2 is not defined for x = 0.
Answer:
1 and 6
Step-by-step explanation:
it is just like the roots of a polynomial, since
(x-6)^2=0
we can separate the two pieces of the problem
\sqrt{x-1} =0
square both sides to get
x-1=0. x=1
(x-6)^2=0
square root both sides and get
x-6=0
x=6
so the two inflection points of the equation are 6 and 1
Hope that helps :)