All categories

3 years ago

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

You might be interested in

Is this congruent by SSS, SAS, AAS, ASA??

sleet_krkn [62]

Answer:

sss

Step-by-step explanation:

6 0

3 years ago

Write two ratios that are equivalent to 3:11

maks197457 [2]

6:22, 9:33, are both equivalent to 3:11.

7 0

3 years ago

Read 2 more answers

Clarice Sloan is a shift supervisor for Ace

Igoryamba

The net pay is the amount left after taxes and deductions have been removed from the gross pay.

Her monthly gross pay is: $4111.93

The deductions are:

$\mathbf{FIT = \$102}$

$\mathbf{SIT = 3.2\%}$

$\mathbf{CIT = 1.8\%}$

Let her gross pay be x.

So, we have:

$\mathbf{Net = x - FIT - x \times SIT - x \times CIT}$

So, we have:

$\mathbf{3804.33 = x - 102 - x \times 3.2\%- x \times 1.8\%}$

Express percentage as decimals

$\mathbf{3804.33 = x - 102 - x \times 0.032- x \times 0.018}$

$\mathbf{3804.33 = x - 102 - 0.032x - 0.018x}$

Add 102 to both sides

$\mathbf{3906.33 = x - 0.032x - 0.018x}$

$\mathbf{3906.33 = 0.95x}$

Divide both sides by 0.95

$\mathbf{4111.93 = x}$

Rewrite as:

$\mathbf{x = 4111.93 }$

Hence, her monthly gross pay is: $4111.93

Read more about gross and net pay at:

brainly.com/question/8952173

4 0

3 years ago

If your finding the change in x, is it vertical or horizontal?

Basile [38]

Horizontal, by the way don listen to that just trying to get points

7 0

3 years ago

Helppppppp pleaseeeeee

Dahasolnce [82]

Step-by-step explanation:

The area, A, in square yards, of a rectangular garden, is given by the function.

$A(x)=-2x^2+30x$

We know that, the area of the rectangle is given by :

$A=l\times b$

Where l is length and b is breadth

$A=-2x^2+30x\\\\A=2x\times (-x+15)$

Length = 2x

Breadth = (15-x)

For zeoes,

$2x\times (-x+15)=0\\\\x=15$

Length = 15 yards

Breadth = (15-15) = 0 yards

Hence, this is the required solution.

4 0

3 years ago