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olya-2409 [2.1K]
1 year ago
8

he diagram represents the factorization of x2 – 9x + 18. It is partially completed. A 2-column table with 2 rows. First column i

s labeled x with entries x squared, question mark. Second column is labeled negative 3 with entries question mark, 18. First row is labeled x with entries x squared, question mark. Second row is labeled negative 6 with entries question mark, 18. Which two terms are missing from the diagram?
Mathematics
1 answer:
8_murik_8 [283]1 year ago
7 0

The factored form of the expression is given as (x-6)(x-3)

<h3>Factoring quadratic equation</h3>

Quadratic equation are equation that has a leading degree of w.

Given the given quadratic equations

x^2 – 9x + 18

Factorize to have;

x^2 - 3x - 6x + 18

x(x-3) -6(x -3)

(x-6)(x-3)

Hence the factored form of the expression is given as (x-6)(x-3)

Learn more on factored form here: brainly.com/question/43919

#SPJ1

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Help please!!<br>Solve the equation -5m = -20.<br> m = 1/4<br> m = -1/4<br> m = -4<br> m = 4
koban [17]

Answer:

m=4

Step-by-step explanation:

-5m=-20

m= - 20/-5

m=4

4 0
3 years ago
Find all natural values of x such that x/8 is a proper fraction, and x/4 is an improper fraction.
Roman55 [17]

Answer:

5, 6 and 7.

Step-by-step explanation:

5/8 is proper  while 5/4 is improper

6/8 is proper while 6/4 is improper  

7/8 is proper while 7/4 is improper

5 0
3 years ago
55.563 the nearest hundredth
Damm [24]

Answer:

55.56

Step-by-step explanation:

If its 5 or mor add one more if its four or less let it rest

6 0
3 years ago
A radio station plays commercials for 5 1/6 minutes each hour. How many 31-second commercials can it play?
Anna007 [38]

Answer:

6 commercials.

Step-by-step explanation:

To figure this out, you would have to divide 5 1/6 and 31.

31 ÷ 5 1/6 = 6

7 0
3 years ago
Ella invested $2,700 in an account paying an interest rate of 5.4% compounded
Dmitry [639]

Answer:

<em>The account will take 7 years to reach a value of $4,020</em>

Step-by-step explanation:

<u>Compound Interest </u>

When it occurs interest in the next period is then earned on the principal sum plus previously accumulated interest.

The formula is:

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

Where:

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

Ella invested P=$2,700 in an account with an interest rate of r=5.4% (0.054) compounded monthly. Since there are 12 months in a year, n=12.

It will be calculated when will the account have a value of A=$4,020. Substituting all the values in the formula:

{\displaystyle 4,020=2,700\left(1+{\frac {0.054}{12}}\right)^{12t}}

Calculating:

{\displaystyle 4,020=2,700\left(1.0045)^{12t}}

Dividing by 2,700:

{\displaystyle \frac{4,020}{2,700}=\left(1.0045)^{12t}}

To solve this equation for t, we need to apply logarithms:

{\displaystyle \log\frac{4,020}{2,700}=\log\left(1.0045)^{12t}}

Applying the logarithm power rule:

\displaystyle \log\frac{4,020}{2,700}=12t\log 1.0045

Dividing by 12log 1.0045:

\displaystyle t=\frac{\log\frac{4,020}{2,700}}{12\log 1.0045}

Calculating:

t= 7.39 years

Rounding to the nearest year, the account will take 7 years to reach a value of $4,020

3 0
3 years ago
Read 2 more answers
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