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SSSSS [86.1K]
3 years ago
11

4/7+1/3 = Enter your answer as a fraction in simplest form by filling in the boxes.

Mathematics
1 answer:
Evgen [1.6K]3 years ago
3 0

Answer:

Step-by-step explanation:

First, you need to find the GCF of both denominators.

That would be 21.

You would need to multiple the 7 in 4/7 by 3, to get to 21. That means you would also have to multiply 3 by the 4. You should get 12/21.

Do you same thing to 1/3.

After that you should get the 2 factions, 12/21 and 7/21

12/21 + 7/21 = 19/21

There isn't anyway to simplify it, meaning the final answer is 19/21.

You might be interested in
If you're creative, I need help. I am doing a math project where I need to define 20 words and include a picture and some facts
valentinak56 [21]

Answer:

Powerpoint

Step-by-step explanation:

I think that a powerpoint presentation would be best. With the first slide, put the picture and a title. With each slide, put more than one word and maybe an example. Make it colorful and maybe put some math puns in some of them.

Hope this helps.

6 0
4 years ago
f(x)=x^2-x-1 , average rate of change of f over interval -2 greater than or equal to x less than or equal to 1
SCORPION-xisa [38]

The average rate of change within the function f(x)=x^{2} -x-1is -2.

Given The function f(x)=x^{2} -x-1

We have to search out the typical rate of change of function within the interval (-2,1).Interval is largely a variety between numbers lying on the quantity line which may be a line on which different numbers are plotted.

We know that average rate of change =f(b)-f(a)/(b-a)

we have to first know the values of function at different values of x.

f(x)=x^{2} -x-1

f(1)=1-1-1

=-1

f(-2)=4+2-1

=5

b=-2

a=1

put within the formula:

A=-1-5/1+2

=-6/3

=-2

Hence average rate of change of the function within the interval (-2,1) is -2.

Learn more about average at brainly.com/question/20118982

#SPJ10

3 0
2 years ago
Is 2/5 grater than or less than or equal to 1/3
Vsevolod [243]
2/5 is greater than 1/3, because 2/5 = .4 and 1/3= .33333333..... Hope I was helpful.
4 0
3 years ago
Read 2 more answers
Suppose that v is an eigenvector of matrix A with eigenvalue λA, and it is also an eigenvector of matrix B with eigenvalue λB. (
galben [10]

Answer:

(a) Yes, λ_{A}+λ_{B}

(b) Yes, λ_{A}λ_{B}

Step-by-step explanation:

First, lets understand what are eigenvectors and eigenvalues?

Note: I am using the notation λ_{A} to denote Lambda(A) sign.

v is an eigenvector of matrix A with eigenvalue λ_{A}

v is also eigenvector of matrix B with eigenvalue λ_{B}

So we can write this in equation form as

Av=λ_{A}v

So what does this equation say?

When you multiply any vector by A they do change their direction. any vector  that is in the same direction as of Av, then this v  is called the eigenvector of A. Av is λ_{A} times the original v. The number λ_{A} is the eigenvalue of A.

λ_{A} this number is very important and tells us what is happening when we multiply Av. Is it shrinking or expanding or reversed or something else?

It tells us everything we need to know!

Bonus:

By the way you can find out the eigenvalue of Av by using the following equation:

det(A-λI)=0

where I is identity matrix of the size of same as A.

Now lets come to the solution!

(a) Show that v is an eigenvector of A + B and find its associated eigenvalue.

The eigenvalues of A and B are λ_{A} and λ_{B}, then

(A+B)(v)=Av+Bv=(λ_{A})v + (λ_{B})v=(λ_{A}+λ_{B})(v)

so,  (A+B)(v)=(λ_{A}+λ_{B})(v)

which means that v is also an eigenvector of A+B and the associated eigenvalues are λ_{A}+λ_{B}

(b) Show that v is an eigenvector of AB and find its associated eigenvalue.

The eigenvalues of A and B are λ_{A} and λ_{B}, then

(AB)(v)=A(Bv)=A(λ_{B})=λ_{B}(Av)=λ_{B}λ_{A}(v)=λ_{A}λ_{B}(v)

so,  

(AB)(v)=λ_{A}λ_{B}(v)

which means that v is also an eigenvector of AB and the associated eigenvalues are λ_{A}λ_{B}

5 0
3 years ago
On Melissa's 6th birthday, she gets a $2000 CD that earns 7% interest compounded quarterly. If the CD matures on her 13th birthd
Alexandra [31]

Answer:

A\simeq3250.83

Step-by-step explanation:

The amount formula in compound interest is:

A=P(1+\frac{r}{n} )^{nt}

where:

P = principal amount

r = annual interest

n = number of compounding periods

t = number of years

We already know that:

P = $2000

r = 7\% = \frac{7\%}{100\%}=0.07

t = 7 (number of years from 6th to 13th bday)

n = 4 (quarterly in a year)

Then,

A=2000(1+\frac{0.07}{4} )^{(4)(7)}\\\\A=2000(1+\frac{0.07}{4} )^{28}\\\\A=3250.825792\\\\A\simeq3250.83

8 0
3 years ago
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