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Sonja [21]
3 years ago
9

The square of Mark's age 3 years ago is 6 times the age he will be in 9 years. What is his age now?

Mathematics
2 answers:
9966 [12]3 years ago
5 0

Answer:

15.

Step-by-step explanation:

Let his age now be x years. Then:

(x - 3)^2 = 6(x + 9)

x^2 - 6x + 9 = 6x + 54

x^2 - 12x - 45 = 0

(x - 15)(x + 3) = 0

x = 15, -3

We ignore the negative so his age now is 15.

Lubov Fominskaja [6]3 years ago
3 0

Answer:

Age= 15

Step-by-step explanation:

Let a be for age at the moment

(a-3)^2 =6(a+9)

a^2-6a+9=6a+54

a^2-12a-45

(a-15)(a+3)

a=15 or a=-3

Age cannot be negative (-)

Therefore

Age =15

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Please help it would be appreciated
scoray [572]

Answer:

81 in^2

Step-by-step explanation:

Well the formula to find an area of a triangle is (bh) / 2

In this case the base is 18 and the height is 9

18*9=162

162/2=81

5 0
2 years ago
Read 2 more answers
Simplify the Expression<br> 2(x +14) - (2x - 5)
elena55 [62]

your answer would be 33.

step 1

2(+14)−1(2−5)

2+28−1(2−5)

step 2 distribute

2+28−1(2−5)

2+28−2+5

step 3 then add the numbers

2+28−2+5

2+33−2

combine

2+33−2

ANSWER IS

33

7 0
3 years ago
How to calculate down payment on a house
Scrat [10]

Answer:

Steps below:)

Step-by-step explanation:

1. Find the mortgage amount.

2. Choose a interest rate on your mortgage.

3. Choose a mortgage term that is the median for your financial needs.

4. Calculate the monthly principal and interest payment using a financial calculator, a spreadsheet program such as Excel or an online mortgage calculator.

5. Determine the monthly amount you will pay into escrow each for payment of your property taxes.

8 0
3 years ago
John is interested in purchasing a multi-office building containing five offices. The current owner provides the following proba
Elenna [48]

Answer:

Option B.

Step-by-step explanation:

The given table is:

Number of Lease Offices :  0           1         2       3        4         5

Probability                         : 5/18     1/4     1/9    1/18     2/9      1/12

The expected probability is

Expected probability = \sum_{i=0}^5 x_{i}p(x_i)

Expected probability = 0p(0)+1P(1)+2P(2)+3P(3)+4P(4)+5P(5)

Expected probability = 0\cdot (\frac{5}{18})+1\cdot (\frac{1}{4})+2\cdot (\frac{1}{9})+3\cdot (\frac{1}{18})+4\cdot (\frac{2}{9})+5\cdot (\frac{1}{12})=\frac{35}{18}

It is given that the yearly lease = $12,000.

The yearly leases for the whole building in a given year is

Yearly leases = \frac{35}{18}\times 12000=23333.3333333\approx 23333.33

Therefore, the correct option is B.

3 0
3 years ago
(6m^3 -16m^2 + 15m - 40) / (2m^2 + 5)
Helen [10]
        6m3 - 16m2 + 15m - 40<span> Simplify ————————————————————— 2m2 + 5 </span>Checking for a perfect cube :

<span> 4.1 </span>  <span> 6m3 - 16m2 + 15m - 40</span>  is not a perfect cube 

Trying to factor by pulling out :

<span> 4.2 </span>     Factoring: <span> 6m3 - 16m2 + 15m - 40</span> 

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  15m - 40 
Group 2: <span> -16m2 + 6m3</span> 

Pull out from each group separately :

Group 1:   (3m - 8) • (5)
Group 2: <span>  (3m - 8) • (2m2)</span>
               -------------------
Add up the two groups :
              <span> (3m - 8)  • </span><span> (2m2 + 5)</span> 
<span>Which is the desired factorization</span>

<span>3m-8 is the answer</span>

4 0
2 years ago
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