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3 years ago

Dylan is 6 years younger than Briana. Briana's age can be represented by x. Write an expression representing Dylan's age.

2 answers:

soldier1979 [14.2K]3 years ago

8 0

x - 6

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x is Brina's age

-6 is how many years younger Dylan is

miss Akunina [59]3 years ago

7 0

Answer:

x - 6

Step-by-step explanation:

usatestprep

k-12

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Factor the expression completely.

densk [106]

Answer:

$\fbox{\begin{minipage}{13em}Option D: 2(3x + 4)(3x - 4)\end{minipage}}$

Step-by-step explanation:

$A = 18x^{2} - 32\\$

Find the sharing components:

<=> $A=2*9*x^{2} - 2*16$

Apply the inverse of associative property:

<=> $A = 2(9x^{2} - 16)$

Identify two square components inside the parenthesis:

<=> $A = 2((3x)^{2} - 4^{2} )$

Factorize:

<=> $A = 2(3x + 4)(3x - 4)$

=> Option D is correct

Hope this helps!

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3 years ago

A farmer owns a 2000-acre farm and can plant any combination of two crops, A and B. Crop A requires 1 person-day of labor and $9

blagie [28]

A+2b=3000
90a+60b=150000

-90a-180b=-127000
90a+60b=150000

-120b=-120000
b=1000

a+2000=3000
a=1000

crop a=1000
crop b=1000

6 0

3 years ago

Which expression represents "2 times the sum of 4 and y?"

aksik [14]

2*(4+y)
The answer is c.
Its two times the sum so two is on the outside and 4 and y come after the word sum so its addition.

5 0

2 years ago

How can I get the area of the shaded region?

almond37 [142]

Let's work on the triangle first. The x intercept of 2y=27-3x is

0 = 27 - 3x

3x = 27

x = 9

So A(9,0)

B is the meet of 2y=27-3x and y=3x

2y=27-y

3y=27

y=9

y is the height of OAB; we don't really need x

Area(OAB) = $\frac 1 2 (9)(9) = \frac{81}{2} = 40.5$

Now we have to subtract

$\displaystyle \int_0^9 (3x - x^{\frac 3 2})dx = \frac 3 2 x^2 - \frac 2 5 x^{\frac 5 2} \bigg|_0^9 = \frac 3 2 (9^2) - \frac 2 5 (9^{\frac 5 2}) = \frac{1}{2}(243) - \frac 2 5 (243) = 24.3$

Area = 40.5 - 24.3 = 16.2

Answer: 16.2

4 0

2 years ago

What's the C.O.P? I don't know how to solve it

Vlad1618 [11]

We will investigate how to determine the constant of proportionality for specific relationship between two variables.

We are given the respect proportionality between two variables ( x and y ) on a cartesian coordinate plane as such:

$(\text{ x , y ) - > ( 16 , 216 )}$

We are to determine the constant of proportionality ( k ) for the relationship expressed between the two variables.

A general proportional relation between ( x ) and ( y ) is expressed as follows:

$y\text{ = k}\cdot x$

Where,

$k\colon\text{ Constant of proportionality}$

We will use the given data point ( x , y ) and the general expression for direct proportions to determine the value of the constant of proportionality ( k ) as follows:

$\begin{gathered} k\text{ = }\frac{y}{x} \\ \\ k\text{ = }\frac{216}{16} \\ \\ k\text{ = 13.5} \end{gathered}$

We plugged in the respective quantities of the variables ( x ) and ( y ) and evaluated for the constant of proportionality ( k ):

$COP\text{ = 13.5 }\ldots\text{ Answer}$

3 0

8 months ago