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densk [106]
3 years ago
10

HELPPPPSPSP What is the explicit formula for this sequence? 3, -6, 12, -24, ...

Mathematics
1 answer:
Vlada [557]3 years ago
8 0

Answer:

B

Step-by-step explanation:

The first term is 3 and the ratio is -2.

The formula for that sequence is an=a*r^(n-1). an=3*(-2)^(n-1). Answered by Gauthmath

You might be interested in
What is the equation in slope-intercept form of the line
Natali5045456 [20]

Answer:

y = (-4/3)x + 4  

Step-by-step explanation:

Let y = mx + b, be the equation of the line in slope intercept form where we need to find m and b.

Perpendicular to y = (3/4)x - 5, means that m = - (1 / (3/4) ) = - 4/3

So, at this point, y = (-4/3)x + b.

Crossing the x - axis at 3 means that (3, 0) is a point on the line, where we note that x=3 and y=0.

Thus, we plug in these values into the equation y = (-4/3)x + b, to get

0 = (-4/3)(3) + b

0 = -4 + b, so that

b = 4.

Hence, the answer is:

y = (-4/3)x + 4

5 0
3 years ago
Which expressions are equivalent to 6 (–x) 2x (–7) 2x? Check all that apply. X x 6 – 7 x 2x 2 x 3 – x 2x – 4 2x x – 1 x 1.
qaws [65]

Equivalent expression is the expression which is equal to the original equation but the way of representation is different. The equivalent expression of the given expression are,

x+x+6-7+x

3-x+2x-4+2x=3x-1

Given information

The given expression in the problem is,

6+(-x)+2x+(-7)+2x

<h3>Equivalent expression</h3>

Equivalent expression is the expression which is equal to the original equation but the way of representation is different.

The given equation is,

6+(-x)+2x+(-7)+2x

As the product of the negative and positive is negative. Thus solve the equation by opening the bracket.

6+(-x)+2x+(-7)+2x=6-x+2x-7+2x\\&#10;6+(-x)+2x+(-7)+2x=-x+2x+2x+6-7\\&#10;6+(-x)+2x+(-7)+2x=3x-1

Check all the option,

  • 1) The expression given in the option 1 is,

x+x+6-7+x

Solve it further,

x+x+6-7+x=x+x+x+6-7\\&#10;x+x+6-7+x=3x-1\\

The result is equal to the result of the given expression. Thus the expression of the option 1 is equivalent to the expression given in the problem.

  • 2) The expression given in the option 2 is,

2x+2+x

Solve it further,

2x+2+x=2x+x+2\\2x+2+x=3x+2

The result is not equal to the result of the given expression. Thus the expression of the option 2 is not equivalent to the expression given in the problem.

  • 3) The expression given in the option 3 is,

3-x+2x-4+2x

Solve it further,

3-x+2x-4+2x=3x-1

The result is equal to the result of the given expression. Thus the expression of the option 3 is equivalent to the expression given in the problem.

  • 4) The expression given in the option 4 is,

x-1

The expression of the option 4 is not equivalent to the expression given in the problem.

  • 5) The expression given in the option 4 is,

x+1

The expression of the option 5 is not equivalent to the expression given in the problem.

Hence the equivalent expression of the given expression are,

x+x+6-7+x

3-x+2x-4+2x=3x-1

Learn more about the equivalent expression here;

brainly.com/question/10628562

7 0
2 years ago
Read 2 more answers
the ratio of length to width in a rectangle is 3:1. If the perimeter of the rectangle is 112 feet, what is the length of the rec
kotykmax [81]
I hope this helps you

6 0
4 years ago
Choose the correct simplification of (4x − 3)(3x2 − 4x − 3).
tester [92]
(4x - 3)(3x^2 - 4x - 3) 

=4x\cdot \:3x^2+4x\left(-4x\right)+4x\left(-3\right)-3\cdot \:3x^2-3\left(-4x\right)-3\left(-3\right) 

=4x\cdot \:3x^2-4x\cdot \:4x-4x\cdot \:3-3\cdot \:3x^2+3\cdot \:4x+3\cdot \:3 

\mathrm{Simplify}\:4x\cdot \:3x^2-4x\cdot \:4x-4x\cdot \:3-3\cdot \:3x^2+3\cdot \:4x+3\cdot \:3:\quad 12x^3-25x^2+9 

=12x^3-25x^2+9
8 0
4 years ago
The percent of age of rajus fater is twice that of Raju. after 10 years, the sum of their ages would be 80 years. find their pre
EastWind [94]

Answer:

raju is 20 years old while the father is 40 years old

Step-by-step explanation:

present : lets assume raju is x years old so the father will be 2x

after 10 yrs raju will be x+10 yrs while the father will be 2x+10 yrs

therefore :

(x+10)+(2x+10)=80

liketerms together

x+2x+10+10=80

3x+20=80

3x=80-20

3x=60

simplify

x=20 so raju is 20 years old now and the father since he is twice the age of his son he is 40 years old

5 0
2 years ago
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