MATHEMATICS HIGH SCHOOL

Find decimal notation.
0.6%=

Answers

Answer 1

Answer: you obtain: 0.6%= 0.6/100=0.006

Answer 2

Answer:

Answer:

0.006

Step-by-step explanation:

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What are all possible values of x that make a true statement?
95 – 2x < 7 (15x – 17)

Answers

Answer:

x = 2

Step-by-step explanation:

From the question we are given the algebraic sign with the Inequality sign

95 - 2x < 7 (15x - 17)

In order to find all the possible values of x that makes the algebraic expression true ,

We solve for this by convert the less than(<) sign to =

A true statement or algebraic expression is when both values on the left hand side and right hand side of and algebraic expression is the same of equal to each other.

Therefore:

95 - 2x = 7 (15x - 17)

95 - 2x = 105x - 119

Collect like terms

95 + 119 = 105x + 2x

214 = 107x

x = 214/107

x = 2

In other to confirm if x = 2 makes the expression true

95 - 2x = 7 (15x - 17)

95 - 2x = 105x - 119

95 - 2 × 2 = 105 × 2 - 119

95 - 4 = 210 - 119

91 = 91

Therefore, the possible values for x that make the statement true is x = 2

According to the Fundamental Theorem of Algebra, which polynomial function has exactly 8 roots?f(X) 3x4 +2xfox)- (6x -4x5-10 3x2-4

Answers

Answer:
A. (3x²-4x-5)(2x⁶-5)

Explanation:
The fundamental theorem of Algebra states that:
"A polynomial of degree 'n' will have exactly 'n' number of roots"

We know that the degree of the polynomial is given by the highest power of the polynomial.
Applying the above theorem on the given question, we can deduce that the polynomial that has exactly 8 roots is the polynomial of the 8th degree

Now, let's check the choices:
A. (3x²-4x-5)(2x⁶-5)
The term with the highest power will be (3x²)(2x⁶) = 6x⁸
Therefore, the polynomial is of 8th degree which means it has exactly 8 roots. This option is correct.

B. (3x⁴+2x)⁴
The term with the highest power will be (3x⁴)⁴ = 81x¹⁶
Therefore, the polynomial is of 16th degree which means it has exactly 16 roots. This option is incorrect.

C. (4x²-7)³
The term with the highest power will be (4x²)³ = 64x⁶
Therefore, the polynomial is of 6th degree which means that it has exactly 6 roots. This option is incorrect

D. (6x⁸-4x⁵-1)(3x²-4)
The term with the highest power will be (6x⁸)(3x²) = 18x¹⁰
Therefore, the polynomial is of 10th degree which means that it has exactly 10 roots. This option is incorrect

Hope this helps :)

The number of roots of a polynomial is determined by the highest power of the variable after all simplifications has been done. For the first option, after the brackets has been expanded, the highest power of x will be 8. The second option will have the highest power of x as 16. The third option will have the highest power of x as 6 while the last option will have the highest power of x as 10. Therefore, the polynomial function with exactly 8 roots is f(x) = (3x^2 - 4x - 5)(2x^6 - 5).

the drama club held tryouts for 6 roles in a one-act play. five people auditioned for lead female, 3 for lead male, 8 for the best friend, 4 for the mother, 2 for the father, and 3 of the humorous aunt. how many different casts can be created from those who auditioned?

Answers

There are 2,880 different casts that can be created from those who auditioned.

To calculate the number of different casts that can be created, we need to multiply the number of options for each role.

For the lead female role, there are 5 options.

For the lead male role, there are 3 options.

For the best friend role, there are 8 options.

For the mother role, there are 4 options.

For the father role, there are 2 options.

For the humorous aunt role, there are 3 options.

To find the total number of possiblecasts, we multiply the number of options for each role:

5 x 3 x 8 x 4 x 2 x 3 = 2,880

Therefore, there are 2,880 different casts that can be created from those who auditioned.

To learn more on Combinations click:

brainly.com/question/19692242

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Which of the following statements are true regarding functions? *Check all that applyA. The horizontal line test may be used to determine whether a function is one-to-one.

B. A function is a relation in which each value of the input variable is paired with exactly one value of the output variable.

C. The vertical line test may be used to determine whether a function is one-to-one.

D. A sequence is a function whose domain is the set of real numbers.

Answers

Answer: A and B.

C. FALSE, because the vertical line test may be used to determine whether a relation is the function.

D. FALSE, because the function domain can be any set.

Answer:

It's A and B bbbbb bbb bbb bbb a a a a a aa a a a a a aa a aaaaaaaaaaaa a ababbababbababbababba aba ab baba ab ba babb abba ba ba b ab ab bab abab ab ab ab ab ab aba ba ba ab

Compare 1/2 with 3/4 using < > =?

Answers

1/2<3/4
.......................

Answer: Is 1/2 greater than 3/4

Step-by-step explanation: Therefore, 3/4 is greater than 1/2 and the answer to the question "Is 3/4 least than 1/2?" is yes. Note: When comparing fractions such as 3/4 and 1/2, you could also convert the fractions (if necessary) so they have the same denominator and then compare which numerator is larger.

Calculate your answer to the nearest hundredth 3x=40