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posledela
3 years ago
14

The square on the right is a scaled copy of the square on the left. Identify the scale factor. Express your answer in simplest f

orm.

Mathematics
1 answer:
Harrizon [31]3 years ago
3 0

Answer:

0.421875 or 27/64

Step-by-step explanation:

you divide the smallest by the bigest of the same side.

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Factor 4n^2 - 5n -6​
Allushta [10]

Answer:

(n-2) • (4n+3)

Step-by-step explanation:

4n2-5n-6  

Final result :

 (n - 2) • (4n + 3)

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 (22n2 -  5n) -  6

Step  2  :

Trying to factor by splitting the middle term

2.1     Factoring  4n2-5n-6  

The first term is,  4n2  its coefficient is  4 .

The middle term is,  -5n  its coefficient is  -5 .

The last term, "the constant", is  -6  

Step-1 : Multiply the coefficient of the first term by the constant   4 • -6 = -24  

Step-2 : Find two factors of  -24  whose sum equals the coefficient of the middle term, which is   -5 .

     -24    +    1    =    -23  

     -12    +    2    =    -10  

     -8    +    3    =    -5    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -8  and  3  

                    4n2 - 8n + 3n - 6

Step-4 : Add up the first 2 terms, pulling out like factors :

                   4n • (n-2)

             Add up the last 2 terms, pulling out common factors :

                   3 • (n-2)

Step-5 : Add up the four terms of step 4 :

                   (4n+3)  •  (n-2)

            Which is the desired factorization

Final result :

 (n - 2) • (4n + 3)

3 0
4 years ago
Situation #3: Jamie can type 243 words in 3 minutes. How many words can<br> she type in 10 minutes?
Ratling [72]

Answer:

810 words

Step-by-step explanation:

243 words per 3 minutes

243/3 to get 81 words per minute

81 times 10 = 810

3 0
3 years ago
Read 2 more answers
The solution to an equation is
jok3333 [9.3K]

Answer:

solution is an assignment of values to the unknown variables that makes the equality in the equation true. In other words, a solution is a value or a collection of values (one for each unknown) such that, when substituted for the unknowns, the equation becomes an equality.

Step-by-step explanation:

I'm not really sure wym but this might help

5 0
3 years ago
Shots invests $1000 in a certificate of deposit that earns interest. The investment’s value is multiplied by 1.02 each year
Slav-nsk [51]

Answer:

1000 times 1.02

Here the answer will be 1020.

Step-by-step explanation:

1000 times 1.02= 1020

3 0
3 years ago
Read 2 more answers
The function below represents the annual interest Alexander earns on a savings account. Identify the term that represents the am
lisabon 2012 [21]

Answer:

Option 4

The term that represents the amount of time that the money is accruing interest is 'x'.

Step-by-step explanation:

Given : The function below represents the annual interest Alexander earns on a savings account.

f(x)=500(1+0.02)^x

To find : Identify the term that represents the amount of time that the money is accruing interest ?

Solution :

The general annual interest formula is A=P(1+r)^t

Where, A is the amount

P is the principal

r is the interest rate

t is the time

The annual interest Alexander earns on a savings account is

f(x)=500(1+0.02)^x

Comparing with general formula,

t=x

The term that represents the amount of time that the money is accruing interest is 'x'.

Therefore, Option 4 is correct.

4 0
4 years ago
Read 2 more answers
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