MATHEMATICS HIGH SCHOOL

Given the geometric sequence where a1 = 5 and the common ratio is −3, what is the domain for n?All integers where n ≥ 0

All integers where n ≥ 1

All integers where n ≥ 5

All integers where ≤ 5

Answers

Answer 1

Answer:

Answer:

Hence, All integers where n ≥ 1

Option 2 is correct.

Step-by-step explanation:

Given: The geometric sequence

where, a1 = a = 5 and the common ratio (r) = −3

Now we will find the general term of Geometric sequence.

$a_n=ar^(n-1)$

$a_n=5(-3)^(n-1)$

Now we write as function,

$f(n)=5(-3)^(n-1)$

f(1)=5

For n=1,

Geometric series start from n=1

Therefore, Domain: n≥1

Hence, All integers where n ≥ 1

Answer 2

Answer:

Answer:

Al integers where n≥1

Step-by-step explanation:

Yessirrrr

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One number is 5 less than a second number.twice the second number is 4 less than 4 times the first.find the two numbers

Answers

The equation is solved and the two numbers are x = 7 and y = 12

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let's call the first number "x" and the second number "y"

x = y - 5 (the first number is 5 less than the second number)

2y = 4x - 4 (twice the second number is 4 less than 4 times the first)

We can use substitution to solve for one of the variables.

Substituting the first equation into the second equation, we get:

2y = 4 (y - 5) - 4

Simplifying this equation , we get

2y = 4y - 24

2y - 4y = -24

-2y = -24

y = 12

Now that we know that the second number is 12, we can use the first equation to find the first number:

x = y - 5

x = 12 - 5

x = 7

Hence , the two numbers are 7 and 12

To learn more about equations click :

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Answer:

9 and 14

Step-by-step explanation:

One number is 5 less than a second number.

a = b - 5

Twice the second number is 8 less than 4 times the first.

2b = 4a - 8

replace a with (b-5)

2b = 4(b-5) - 8

2b = 4b - 20 - 8

2b - 4b = -28

-2b = -28

b = 14

then

a = 9

Solve the compound inequality.

Answers

Answer:

x < 0 or x > 3

Step-by-step explanation:

First, we'll solve 5x - 11 < -11.

5x < 0 so x < 0.

As for 4x + 2 > 14, 4x > 12 which means x > 3.

if the recycling club collected 48 aluminum cans 3/4 of the cans was from 6th grade was 1/6 was from 7 grade and the rest was from 8th grade how many cans were collected by 8th grade

Answers

Answer: 4 cans

Step-by-step explanation:

If you evaluate all the amounts of cans collected from each grade you get 44 so the remainder is 4 so the number of cans that came from eighth grade is 4

Describe the tender clearance and transfer procedure for: a ‘Heaven Sent’ — a large day spa with 30 employees including beauty and massage therapists, hairdressers and nail technicians. Business can treat up to 200 clients a day. *

Answers

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A is the point (2, 3) and B is the point (7,-5).Find the equation of the linethrough A that is perpendicular to AB. Give your answer in the form y =
mx+C.

Answers

The equation of the line that is perpendicular to line AB will be y = (5/8) x + c.

What is the equation of a perpendicular line?

Let the equation of the line be ax + by + c = 0. Then the equation of the perpendicular line that is perpendicular to the line ax + by + c = 0 is given as bx - ay + d = 0. If the slope of the line is m, then the slope of the perpendicular line will be negative 1/m.

A is the point (2, 3) and B is the point (7,-5). Then the slope of the line AB is given as,

m = (3 + 5) / (2 - 7)

m = - 8 / 5

Then the slope of the perpendicular line is given as,

⇒ -1/m

⇒ - 1/(- 8/5)

⇒ 5/8

Then the equation of the perpendicular line is given as,

y = (5/8) x + c

The equation of the line that is perpendicular to line AB will be y = (5/8) x + c.

More about the equation of a perpendicular line link is given below.

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Answer:

y=0.625x+1.75

Step-by-step explanation:

The equation of the line that goes through (2, 3) and (7, -5) needs to be found before finding the equation perpendicular to it. The formula y=mx+c will be used for finding this equation.

Calculating the slope between the data points:

$m1=(3-(-5))/(2-7)=(8)/(-5)=-1.6$

Finding the first y-intercept:

$y=mx+c$

$c=y-mx$

$c=3-(-1.6*2)=3+3.2=6.2$

The equation for the line that goes through the points is:

$y=-1.6x+6.2$

The perpendicular slope will be the opposite reciprocal of the original slope.

The second slope is found by first multiplying the first slope (m1) by -1:

$m2=m1*-1=-1.6*-1=1.6$

Then by taking the reciprocal:

$m2=(1)/(1.6) =0.625$

The second equation must have an intercept that goes through point A:

$c=y-mx$

$c=3-(0.625*2)=3-1.25=1.75$

The perpendicular equation is:

$y=0.625x+1.75$

Victor Malaba has a net income of $1,240 per month. If he spends $150 on food, $244 on a carpayment, $300 on rent, and $50 on savings, what percent of his net income can he spend on other things
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