MATHEMATICS HIGH SCHOOL

Simplify 3x times 1/x to the -4 power times x to the -3 power

Answers

Answer 1

Answer:

Answer:

3x²

Step-by-step explanation:

$3x\cdot(1)/(x^(-4))\cdot x^(-3)=3x^((1-(-4)-3))=3x^2$

___

The applicable rules of exponents are ...

$x^ax^b=x^(a+b)\n\n(1)/(x^(-a))=x^a$

Answer 2

Answer:

Answer:

3x^2.

Step-by-step explanation:

3x * (1/x)^-4 * x^-3

= 3x * x^4 * x^-3

= 3x * x

= 3x^2.

Related Questions

An organization founded by businesses in a specific industry for the purpose of collaboration between companies is called a(n):
Solve the equation. 20 = –d + 16A. 4B. –10C. –6D. –4
A junior college is going to choose a Homecoming Queen, and the candidates are the Freshman Queen and the Sophomore Queen. If there are 600 freshman and 400 sophomore voters, which would be a FAIR way of conducting the vote? [Fair, in this case, means that the Freshman Queen does not have an automatic advantage.]A) Count the votes, then deduct 100 from the freshman total. B) Count the votes and the Queen with the highest total becomes Homecoming Queen. C) Count the votes, counting each sophomore ballot as 1.5 votes and each freshman ballot as 1 vote. D) Count the votes, counting each freshman ballot as 1.5 votes and each sophomore ballot as 1 vote.
The sum of five consecutive integers is 75. What is the third number?
Can you help me please?

N is the set of real numbers that are factors of 12{1, 2, 3, 4, 6}
{1, 2, 3, 4, 6, 12}
{1, 2, 3, 4, 5, 6, 8, 12}
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

Answers

We are asked to determine the set of real numbers that contain the factors of 12. 12 is considered as a composite number in which the factors are not only 1 and 12. Factors are considered as numbers in which 12 is divisible by them. In this case, the answer is B. {1, 2, 3, 4, 6, 12}.

What is the simplified form of x minus 5 over x squared minus 3x minus 10 ⋅ x plus 4 over x squared plus x minus 12? (6 points)

Answers

Answer: Our simplified form will be

$(1)/((x+2)(x-3))$

Step-by-step explanation:

Since we have given that

$(x-5)/(x^2-3x-10)* (x+4)/(x^2+x-12)$

So, first we split the middle term of the denominator ,

$x^2-3x-10=0\n\n=x^2-5x+2x-10\n\n=x(x-5)+2(x-5)\n\n=(x-5)(x+2)$

Similarly,

$x^2+x-12=0\n\nx^2+4x-3x-12=0\n\nx(x+4)-3(x+4)=0\n\n(x+4)(x-3)=0$

Now, we put in our expression above:

$(x-5)/((x-5)(x+2))* (x+4)/((x-3)(x+4))\n\n=(1)/(x+2)* (1)/(x-3)\n\n=(1)/((x+2)(x-3))$

Hence, our simplified form will be

$(1)/((x+2)(x-3))$

Step 1 is to factor everything!

After factoring you will get:

x-5 over (x+2)(x+5) times x+4 over (x-3)(x+4)

Step 2 is to remove the duplicate factors!
Remove x+4 and x+5

x-5 over (x+2)(x-5) times 1 over x-3 = 1 over x+2 times 1 over x-3

Step 3 is to multiply the numerators and the denominators.

End result is 1 over (x+2)(x-3)

Three hundred high school seniors were surveyed about their intended college majors. The results are displayed in the Venn Diagram below: A Venn Diagram titled College Majors with two circles labeled Math and Science. In the math portion is 120. In the intersection is blank. In the Science portion is 50. The area outside the two circles is labeled 100.

If a student is randomly selected from the group, what is the probability that they are majoring in both math and science? Round your answer to the nearest whole percent.

Answers

I see what's going on, we have to find the number of students in the intersection. Math is 120, Science is 50, neither is 100. Add all of these together, 120 + 50 + 100 = 270, then subtract from 300, 300-270 = 30
Now, we divide 30/300 which gives .1, move the decimal over 2 places to the right and that makes it 10%

Answer: $(1)/(10)$

Step-by-step explanation:

Since, The total number of student = 300

Out of which,

The number of students who are only in Maths = 120

And, The number of students who are only in Science = 50

While, the students who are not from any subject = 100

Hence, the number of student who are from both maths and science = Total student - Maths student (only) - science student (only) - None

= 300 - 120 - 50 - 100

= 30

That is, there are 30 students who are both from science and maths,

Thus, the probability of selecting one student who is both from maths and science = 30/300 = 1/10

Brenda observes that the keyboard and the screen of an open laptop lie on two different planes. In how many lines do the planes containing the keyboard and the screen intersect?

Answers

Let's assume the laptop is opened at 90 degrees (this is done for the sake of simplicity, is actually irrelevant) then each plane would be analogous to the 'x' and 'y' planes you see in a Cartesian Plane, which only intersect at one point called the Origin. Any two lines with different slopes will intersect only one time (if they're parallel they have the same slope)

Is this right?
Any links get reported!

Answers

Answer:

yes

Step-by-step explanation:

12/99=121212, so yes

12/100= 0.12, nope

12/90=0.13131, nope

4/33=0.121212, so yes

3/25=0.12, nope

4/30=0.131313, so nope

in conclusion, you are correct

Yes this is correct!

The Fibonacci numbers are defined by the recursive formula t1 = 0, t2 = 1, tn - 1 + tn - 2 , where n ∈ N and n > 2. What are the first 9 Fibonacci numbers?A) 0, 1, 1, 2, 3, 5, 8, 13, 21
B) 0, 1, 2, 3, 4, 7, 11, 18, 29
D) 0, 1, 2, 3, 6, 9, 15, 24, 39
(Don't worry about C)

Answers

basically fibonachi is
the 1st term+term before first term=2nd term
3rd term=1st term+2nd term
4th term=2nd term+3rd term
etc

starting with t1=0 and t2=1
0,1
add them to get next
0+1=1
now we have
0,1,1
1+1=2
now we have
0,1,1,2
1+2=3
now we have
0,1,1,2,3
2+3=5
now we have
0,1,1,2,3,5
3+5=8
now we have
0,1,1,2,3,5,8
5+8=13
now we have
0,1,1,2,3,5,8,13
8+13=21
now we have
0,1,1,2,3,5,8,13,21

answer is A

i just took the test

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