MATHEMATICS HIGH SCHOOL

Which of these is the algebraic expression for "nine less than some number?"Fraction 9 over k
Fraction k over 9
9 − k
k − 9

Answers

Answer 1
Answer: The answer is k - 9.
Answer 2
Answer:

Answer:

K - 9

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What is the degree of the monomial 5x^12

Answers

The degree would be 12 because whatever value is in the exponent position is the degree
It would be 12, because degrees are identified by the exponent of a term

Write sin3xCos2x + cos3xsin2x as a single trigonometric function

Answers

For any angles formula is:
sin(a+b)=sinαcosβ+cosαsinβ
In our exercise :
α=3x β=2x
sin3xcos2x+cos3xsin2x=sin(3x+2x)=sin(5x)
Result is : sin5x

Need help please!!!!!!!

Answers

Answer:

First Option {-2 , 0 , 2}

Step-by-step explanation:

A critical point occurs when the derivative is 0 or undefined.

The function in the question is undefined at x = 2 and at x = -2 because if we put x = 2 or x = -2 the denominator becomes 0 hence anything divided by 0 is undefined, and the derivative equals 0 at x = 0 so the critical points are

{-2 , 0 , 2}

Use the quotient rule to find the derivative of the function then equal it to zero

y=(x^2-1)/(x^2-4)\n\n(dy)/(dx)=((x^2-4)(2x)-(x^2-1)(2x))/((x^2-4)^2)\n\n0=((x^2-4)(2x)-(x^2-1)(2x))/((x^2-4)^2)\n\n0=2x^3-8x-2x^3+2x\n0=-6x\nx=0
I believe it’s the last one
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If E partitions CD by a ratio of 1/8, then which of the following could be the location of E?

Answers


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If 'E' partitions 'CD' in the ratio of  1/8 , then 'E' must be located exactly
one ninth of the distance from 'C' to 'D'.  Then  the piece on one side
of 'E' is 1/9 of the total distance, and the piece on the other side of it
is the other 8/9 of the total distance.  The ratio of the pieces is then

       (1/9) / (8/9)  =  1/8 .

Circle 6 numbers for a total of 31.

8,9,9
1,5,8
1,1,1

Answers

(8) (9) (9) (5)
These are the numbers ur welcome

ANSWER your answer is (8) (9) (9) (5)   these numbers are a total of 31 8+9+9+5=31 so if u did 1+1+1+1+5+8 it would =17 now if u did 5+8+9+8+1 would also make 31  and 5+9+9+8 would also make 31  but the question says "circle 6 numbers for a total of 31 " and nun of those have 6 numbers to make 31 5+9+8=22 so 22+1+1+1+1+8=34 let just take 3 of those 1's out and put it all together it is 31 but it only haves 5 numbers and we need 6 so it kinda makes no sence to me but i do have a strong feeling it is (8) (9) (9) (5)

ind the equation of a line perpendicular to y - 3x = – 8 that passes through the point (3, 2). (answer in slope-intercept form)

Answers

we have that
Find the equation of a line perpendicular to y - 3x = – 8 that passes through the point (3, 2)
y - 3x = – 8-----> y=3x-8------> the slope m=3

we know that
if two lines are perpendicular 
then
m1*m2=-1
m1=3
so
m2=-1/3

with m=-1/3 and point (3, 2) find the equation of the line
y=mx+b
2=(-1/3)*3+b------> 2=-1+b-----> b=3

the equation of the line is
y=(-1/3)x+3

the answer is
y=(-1/3)x+3

see the attached figure
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