MATHEMATICS HIGH SCHOOL

which of the following statements is true? a) both the square root of 0.25 and -the square root of 16 are irrational. b) the square root of 0.25 is rational and -the square root of 16 is irrational c) both the square root of 0.25 and -the square root of 16 are rational d) the square root of 0.25 is irrational and -the square root of 16 is rational

Answers

Answer 1
Answer:

Answer:

Option: C is the correct answer.

c) both the square root of 0.25 and -the square root of 16 are rational.

Step-by-step explanation:

Rational Number--

A number which could be expressed in the form of p/q where  p belongs to integers and q belongs to natural numbers.

and if it could not be expressed as one then the number is called a irrational number.

(1)

\sqrt{0.25}

Now, we can represent it as follows:

√(0.25)=\sqrt{(25)/(100)}\n\ni.e.\n\n√(0.25)=\sqrt{((\pm 5)/(10))^2}\n\ni.e.\n\n√(0.25)=\pm (5)/(10)=\pm (1)/(2)

Hence, the number could be expressed in the form of p/q

Hence, the number is a rational number.

2)

-√(16)

It could be represented as follows:

-√(16)=-√((\pm 4)^2)\n\ni.e.\n\n-√(16)=\pm 4

Hence, the number is a rational number.
Answer 2
Answer: The answer is C because the only time a square root is irrational is if it is a negative like -16 it is irrational because you can’t have 4^2=4*-4

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Answers

Answer:

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Step-by-step explanation:YES

In the equation x^2 + 10x + 24 = (x + a)(x + b), b is an integer. Find algebraically all possiblevalues of b.

Answers

To factor (x² +10x+24); you first have to ask yourself, what 2 numbers will multiply and give me positive 24, but add and give me positive 10? After listing your factors, (1,24)(2,12)(3,8)and (4,6); you decide that (4*6)=24 & adds to get you 10. Meaning that (x²+10x+24) factors are (x+4)(x+6). 
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Charlie is 24 years older than Marty. If the total years old of both are 130, find the years old of each one.

Answers


C- Charlie

M-Marty

C=24+M

C+M=130

_______

24+M+M=130

2M=106

M=53

C=53+24=77

C=77
x-Charlie\ age\ny-Marty\ age\n\nChrlie\ is\ 24\ years\ older\ than\ Marty:x=y+24\nThe\ total\ years\ old\ of\ both\ are\ 130:x+y=130\n\nTherefore\ we\ have:\n \left\{\begin{array}{ccc}x=y+24&(1)\nx+y=130&(2)\end{array}\right\n\nsubtitute\ (1)\ to\ (2):\n\n(y+24)+y=130\ny+24+y=130\n2y+24=130\ \ \ \ |subtract\ 24\ from\ both\ sides\n2y=106\ \ \ |divide\ both\ sdies\ by\ 2\n\boxed{y=53}

Subtract\ the\ value\ of\ y=53\ to\ the\ (1):\n\nx=53+24=\boxed{77}\n\n\boxed{ \left\{\begin{array}{ccc}x=77\ny=53\end{array}\right}\n\nAnswer:\nCharlie\ age:77\nMarty\ age:53

The value of 850,000 shares of CoMark stock is $1,750,000. The underwriting commission is 10%. The total of other selling expenses is $521,464. What are the net proceeds from the sale of the stock?

Answers

Given:
value of 850,000 shares is 1,750,000
underwriting commission is 10%
selling expenses 521,464.00

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Which is the solution to the equation 2x+ 4= -8? A.) x= -2
B.) x= -8
C.) x= -6
D.) x= -1

Answers

x = -6


2x + 4 = -8

Subtract 4 to from sides
2x = -12

divide both sides by 2
x = -6

The correct answer is C. -6

2 x -6 + 4 = -8

Hope this helps

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Answers

Answer:

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Step-by-step explanation:
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