MATHEMATICS HIGH SCHOOL

Find the degree of the monomial. 6x8y5

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

We have been given the monomial $6x^8y^5$

Here the variables are x and y.

In order to find the degree this monomial, we add the exponents of the variables x and y.

Exponent of x = 8

Exponent of y = 5

Therefore, the degree of the monomial is

Degree = exponent of x + exponent of y

Degree = 8 + 5

Degree = 13

Answer 2

Answer: . 6x⁸y⁵ ← x is a factor 8 times, and y is a factor 5 times, so the degree is 8+5=13
13

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ALGEBRA HELP, please help with problem, and show work

Answers

First of all, your second term is already wrong. When you divided 8x² by 4 ,
you should have written 2x² , not 4x² .

Make that correction, and then divide the whole thing by 'x'.

Then you'll have x² - 2x + 1 = 0 .

You should have no trouble solving that one,
(especially since it's a perfect square)

That gives you two (equal) solutions. But you should also ask yourself:
"Self ! Where is the third solution ? A cubic equation like the original
one needs three solutions."

I'll give you that one:
Look over the original equation, and look at what happens to it when x = 0 .
Then the left side becomes zero, and the equation is 0 = 0 . Since that's a
true statement, " x = 0 " is another solution of the cubic equation, and now
you have all three of them.

divide both sides by 4x:
x^2-2x+1=0
You can either factor, complete the square, or use the quadratic formula.
I'll factor this into (x-1)(x-1)=0
x-1=0, so x=1

A certain type of bacteria doubles every 8 hours. A culture begins with 30 000. Without use of given equation, use the help of your ability to set up a pattern to determine how many bacteria are there after a) 8 hours b) 16 hours c)d days

Answers

Not sure what you mean by "without use of given equation".
At time 0hrs, there is 30 000.
Since it doubles every 8hrs, at time 8hrs there is 60 000 or 30 000 x 2
In another 8hrs, it will double again, so at time 16hrs, it will be 120 000 or 30 000 x 2 x 2
In another 8hrs, double again, so at time 24hrs, it will be 240 000 or 30 000 x 2 x 2 x 2
This is also 30 000 x 8 as 2x2x2=8. I'll come back to this later.

You add an extra x 2 for each 8 hrs. By the end of the 2nd day, it would be
30 000 x2 x2 x2 x2 x2 x2
This is also
30 000 x8 x8
Every day we add an extra x8
We use powers to specify this.
30 000 x 8^d
So after 4 days
30 000 x 8^4 = 30 000 x8 x8 x8 x8
Note that this is NOT the same as 30 000 x 8 x 4

What is the domain of y = cos θ?A. [-1, 1]
B. [0, infinity]
C. All real numbers
D. 2pi,

Answers

Answer:

Option C - All real numbers

Step-by-step explanation:

Given : Function $y=\cos \theta$

To find : The domain of given function ?

Solution :

Domain is defined as the set of values for which function is defined.

We have given the function,

$y=\cos \theta$

We know, for any value of $\theta$ the function $y=\cos \theta$ is defined.

Which means the set of all real numbers defined the given function i.e. $x\in(-\infty,\infty)$

Therefore, Option C is correct.

The domain of $y=\cos \theta$ is all real numbers.

The domain of y = cos θ is all real numbers. This is because any real number can be plugged in for θ and y will be equal to a real number. This can be shown graphically because the y = cos θ will go on infinitely both to the right and left.

Simplify the expression-3(b-7)

Answers

-3(b - 7)

Multiply -3 into the parenthesis.

= -3b + 21.

Multiply -3 to each term in the parentheses:
-3(b)= -3b
-3(-7)= 21
These are not like terms, so write them as an expression:
-3b + 21 or 21 - 3b

What number comes next 3 4 6 9 13 18 24

Answers

31 - as the difference (starting from 1) increases by 1

so:

3,+1=4,+2=6,+3=9,+4=13,+5=18,+6=24,+7=31,

31.

3+1=4
4+2=6
6+3=9
9+4=13
13+5=18
18+6=24
24+7=31

Find the slope of the line that passes through (4,5) and (9,8)