MATHEMATICS HIGH SCHOOL

Which answer describes the restrictions for the variables?

x - 4 / x + 1

Answers

Answer 1
Answer: restrictions are not allowed values

the most common restrictions are sqrt of a negative and dividng by zero
since there are no sqrts in this quesiton, see whicch value of x will make us divide by zero
x-4/x+1
denom=0 to find restricted value
x+1=0
minus 1
x=-1

the restricted value is x=-1
basically
x=all real numbers except for -1
Answer 2
Answer: 4x/ 1x = 4 
4X/1+ 2

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Which of the following statements contains a quotient? A. 7 + 6 = 13 B. 7 × 6 = 42 C. 42 ÷ 6 = 7 D. 7 – 6 = 1

Answers

Mathematically, quotient means the solution you get when solving a division problem.

The only reliable choice is C)

Choice A) is called "the sum or total"
Choice B) is called "the product."
Choice D) is called the "the difference"

The quotient is the answer to a division problem. Therefore, C is the correct answer.

For nitrogen to be a liquid, its temperature must be within 12.78 °F of –333.22 °F. Which equation can be used to find the maximum and minimum temperatures at which nitrogen is a liquid, x?

Answers

Answer:

-320.44 is the maximum temperature at which nitrogen is a liquid.

-346 is the minimum temperature at which nitrogen is a liquid.

Answer:

-320.44

-346

Step-by-step explanation:

just did it

Find the solutions to sin2(x) + cos(x) = 1, keeping 0 ≤ x < 2π

Answers

sin2(x) +cos(x)=1
from the relation: (sin2(x) +cos2(x) =1 )
so , sin2(x)=1-cos2(x)
by subs. in the main eqn.
1-cos2(x) + cos(x) =1
by simplify the eqn.
cos(x) -cos2(x)=0
take cos(x) as a common factor
cos(x)* (1-cos(x))=0
then cos(x)=0 && cos(x)=1
cos(x)=0 if x= pi/2
& cos(x) = 1 if x = 0 , 2*pi
so the solution is x= {0,pi/2 , 2*pi}

Answer:

Which statements did you include in your answer?

Isolate sin(x) by adding 4 and taking the square root of both sides.

State that sin(x) = 2 or sin(x) = –2.

State that –2 and 2 are undefined values  of the inverse sine function.

There are no solutions because –2 and 2 are not in the domain of the function.

Step-by-step explanation:

The interior angles in a regular polygon are 140 degrees. How many sides has the polygon? it could be something to do with s=(n-2) x 180

Answers

Yes, it certainly could !  When you first noticed that formula in a book, or when it was given to you in class, did you also notice or learn what it means ?

It means
"The sum of all the interior angles in a polygon" = (number of sides - 2) x 180.

Triangle ........ 3 sides ... (3 - 2) = 1 x 180 = 180° degrees ... 60° each if regular
Quadrilateral . 4 sides ... (4 - 2) = 2 x 180 = 360° degrees ... 90° each if regular
Pentagon ...... 5 sides ... (5 - 2) = 3 x 180 = 540° degrees ... 108° each if regular
Hexagon ....... 6 sides ... (6 - 2) = 4 x 180 = 720° degrees ... 120° each if regular
Sevenagon ... 7 sides ... (7 - 2) = 5 x 180 = 900° degrees ... 128 and 4/7 each if regular
Octagon ........ 8 sides ... (8 - 2) = 6 x 180 = 1080° degrees ... 135° each if regular
Nonagon ....... 9 sides ... (9 - 2) = 7 x 180 = 1260° degrees ... 140° each if regular
180^o-140^o=40^o\n\n360^o:40^o=9\n\nAnswer:This\ a\ regular\ polygon\ has\ 9\ sides.

Quadratic formula 2x²+9x-4=0

Answers

2x^2+9x-4=0 \n \na=2 , b =9 , \ c=- 4 \n \n\Delta = b^(2)-4ac = 9^(2)-4*2* (- 4)= 81+32 =113 \n \nx_(1)=(-b-√(\Delta ))/(2a) =(-9- √(113))/(4) \n\nx_(2)=(-b+√(\Delta ))/(2a) = (-9+√(113))/(4)
2x^2+9x-4=0\ \ \ \ /:2\n\nx^2+(9)/(2)x-2=0\n\nx^2+2x\cdot(9)/(4)+((9)/(4))^2-((9)/(4))^2=2\n\n(x+(9)/(4))^2-(81)/(16)=2\n\n(x+(9)/(4))^2=(32)/(16)+(81)/(16)\n\n(x+(9)/(4))^2=(113)/(16)\iff x+(9)/(4)=-\sqrt(113)/(16)\ \vee\ x+(9)/(4)=\sqrt(113)/(16)\n\nx=-(9)/(4)-(√(113))/(4)\ \vee\ x=-(9)/(4)+(√(113))/(4)\n\nx=-(9+√(113))/(4)\ \vee\ x=-(9-√(113))/(4)

There are 18 questions on the test. Each question is worth either four or five points. The total is 80 points. How many questions of each type are on the test?

Answers

Answer: the number of four point questions in the test is 10.

the number of five point questions in the test 8

Step-by-step explanation:

Let x represent the number of four point questions in the test.

Let y represent the number of five point questions in the test.

There are 18 questions on the test. It means that

x + y = 18

Each question is worth either four or five points. The total is 80 points. This means that

4x + 5y = 80 - - - - - - - - - - - - - -1

Substituting x = 18 - y into equation 1, it becomes

4(18 - y) + 5y = 80

72 - 4y + 5y = 80

- 4y + 5y = 80 - 72

y = 8

x = 18 - y = 18 - 8

x = 10
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