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valentinak56 [21]
2 years ago
10

-18 - 6n= 6 (1 + 3n)

Mathematics
2 answers:
babunello [35]2 years ago
7 0

Answer:-1

Step-by-step explanation:-18-6n = 6 + 18n

-6n=6

divide

n=-1

GarryVolchara [31]2 years ago
7 0

Answer:

-1

Step-by-step explanation:

First, divide by 6

-18/6- 6n/6=6/6(1+3n)

-3-n= 1+3n

Then move the variable to one side

-3-n+n= 1+3n+n

-3=1+4n

Then isolate the variable

-3-1=1-1+4n

-4=4n

Isolate more

-4/4=4n

-1=n

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The number of acres in a region cleared for farming follows the formula a = f (t) = 2t2 where t is the number of months since th
Anit [1.1K]

we are given

a=f(t)=2t^2

we can use average rate of change formula from t=a to t=b

A=\frac{f(b)-f(a)}{b-a}

Here, we are given from t=1 to t=4

so, we will get formula as

A=\frac{f(4)-f(1)}{4-1}

now, we can plug values

A=\frac{2(4)^2-2(1)^2}{4-1}

now, we can simplify it

A=10

the average rate of change in the number of acres cleared for farming between t = 1 and t = 4  is 10 acres/ month.............Answer

6 0
2 years ago
Find the range of y=3/2cos4x-1
MrRissso [65]

Answer:

Range = [- 2.5, 0.5] = [ - 5/2, 1/2]

Step-by-step explanation:

Smallest value of cos α = - 1,

largest value of cos α = 1.

When cos 4x = - 1,  y=3/2cos4x-1 = 3/2*(-1) - 1 = - 5/2 = - 2 1/2 = - 2.5

When cos 4x = 1,  y=3/2cos4x-1 = 3/2*1 - 1 = 1/2 = 0.5

Range = [- 2.5, 0.5] = [ - 5/2, 1/2]

5 0
2 years ago
How many terms are in the algebraic expression -7 + 12x4 - 5y8 + x?
Mazyrski [523]

Answer:

4

Step-by-step explanation:

Each mix of numbers and letters that is separated by a + or a - is a term.

5 0
2 years ago
Which equation has the solutions x = 1 plus-or-minus StartRoot 5 EndRoot?
Sophie [7]

Answer:

The quadratic equation is x^2-2x-4

Step-by-step explanation:

We want to know the equation that has the solution below;

x = 1 ± √5

This means x = 1 + √5 or 1 - √5

The equation would thus be;

(x-1-√5)(x-1+ √5)

= x(x-1+ √5)-1(x-1+ √5)-√5(x-1+ √5)

Opening the brackets we have ;

x^2-x+ √5x-x + 1 -√5-√5x+ √5-5

collecting like terms we have;

x^2-2x+1-5

= x^2-2x-4

6 0
2 years ago
A rectangular block measures 3 cm x 4 cm x 3 cm how much water would it displace?
nika2105 [10]

Answer:

36c^3m^3x^2

Step-by-step explanation:

  1. you first multiply 3 cm by 4 cm by 3 cm to get 36 cm.
  2. its mass in air and its effective mass when submerged in water (density = 1 gram per cubic centimeter).
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  4. then you get the answer 36c^3m^3x^2
4 0
2 years ago
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