Explicit equation for the nth term of the geometric sequence 3584,896,224,

The sum of x, three-fourths x, and 90% of z is x + (3/4)x + 0.9z.

The sum of x, three-fourths x, and 90% of z is calculated by adding these three terms together. Let's break it down:

x is simply x, no changes or calculations needed.

Three-fourths x can be written as (3/4)x.

90% of z can be written as 0.9z.

Therefore, the sum of x, three-fourths x, and 90% of z is x + (3/4)x + 0.9z.

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Answer:

The solution is the point (-2,-2)

Step-by-step explanation:

we have

[tex]y=x[/tex] ----> equation A

[tex]y=-6x-14[/tex] ----> equation B

Solve the system by substitution

substitute equation A in equation B

[tex]x=-6x-14[/tex]

Solve for x

[tex]6x+x=-14\\7x=-14\\x=-2[/tex]

Find the value of y

substitute the value of x in the equation A

[tex]y=x[/tex]

so

[tex]y=-2[/tex]

therefore

The solution is the point (-2,-2)

Answer:

Step-by-step explanation:

Answer:

The points are (-3,0) and (0,-2)

Step-by-step explanation:

[tex]m \angle LKN + m \angle \boxed{KLM} = \boxed{180}[/tex] because they are [tex]\text{supplementary angles}[/tex]

This is true of any parallelogram. The adjacent angles of any parallelogram are supplementary, meaning they add to 180 degrees. You can use the same side interior angle theorem here as well.

------------------

Because KA cuts angle K in half, and LA does the same to angle L, this means that we're dividing everything by 2 in that equation at the top of the page. So we have,

[tex]\frac{m \angle LKN + m \angle KLM}{2} = \frac{180}{2}[/tex]

and that turns into

[tex]m \angle LKA + m\angle KLA = 90[/tex]

which tells us that angle KAL must be 90 so that the three angles of triangle KAL add to 180 degrees. For any right triangle, the acute angles are complementary, meaning they add to 90 degrees.

Answer:

OPTION D

Step-by-step explanation:

Given the zeroes (roots) of a polynomial are: - 3, 4 & 1.

An [tex]$ n -degree $[/tex] polynomial has [tex]$ n - roots $[/tex] (zeroes). The converse is also true.

Here, we are given three roots of the polynomial. That means, the polynomial must be of third degree.

Also, (x - a) is a factor of the polynomial if and only if x = a is a root of the polynomial.

Here, -3, 4 & 1 are roots. So, the factors are: (x + 3), (x - 4) and (x - 1) .

Multiplying them will result in the polynomial.

[tex]$ (x + 3)(x - 4)(x - 1) $[/tex]

[tex]$ \implies (x^2 - 4x + 3x - 12)(x - 1) $[/tex]

[tex]$ \implies x^3 -x^2 - 4x^2 + 4x + 3x^2 - 3x - 12x + 12 $[/tex]

Simplifying, we get: [tex]$ \textbf{x}^\textbf{3} \textbf{-} \textbf{2x}^\textbf{2} \textbf{-} \textbf{11x} \textbf{+} \textbf{12}$[/tex]

Hence, OPTION D is the right answer.

Answer:

15 remainder 16

Step-by-step explanation:

421 divided by 27 with remainders is equal to 15 remainders 16.

We have,

When dividing 421 by 27, we get a quotient of 15 and a remainder of 16.

The division can be expressed as:

421 ÷ 27 = 15 with a remainder of 16.

This means that 421 can be divided by 27 a total of 15 times, with a remaining value of 16.

Thus,

421 divided by 27 with remainders is equal to 15 remainders 16.

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Answer: x less than or equal to 3, x less than or equal to -5.

Step-by-step explanation:

split into two

x-3<0 // x+5<0

x<3 // x<-5

Answer:

-5 ≤ x ≤ 3

Interval notation : [-5 , 3]

Step-by-step explanation:

Look at the photo below for the details.

:)

Answer:

5

Step-by-step explanation:

2,3,4,5,5,5,8

you must put them in order, and it will always be in the middle :)

Answer:

18 people

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Answer:

m∠XYZ = 166

AB = 2√5

Modpoint (1 , 5)

Step-by-step explanation:

Look at the photo below for the details.

:)

Answer:

25%

Step-by-step explanation:

Given:

The price of the studio apartment = 240,000

Down payment = 60,000

We need to find the percentage of down payment.

Solution:

Using percentage formula.

[tex]Percentage = (\frac{Value}{Total\ value})\times 100[/tex]

Here value = Down payment

Total value = Price of the apartment

Now we substitute Down payment and Price of the apartment in above formula.

[tex]Percentage = (\frac{60000}{240000})\times 100[/tex]

[tex]Percentage = \frac{6\times 100}{24}[/tex]

[tex]Percentage = \frac{600}{24}[/tex]

[tex]Percentage = 25\%[/tex]

Therefore, Down payment is 25% of the purchase price.

Answer:

Option C that is  [tex]x=4,DF=EG=15[/tex]  the right choice.

Step-by-step explanation:

Given,

A rectangle with the measures of its diagonal DF and EG.

Measure of diagonal DF = [tex]5x-5[/tex]

Measure of diagonal EG = [tex]x+11[/tex]

Note:Diagonal length of the rectangle are same.

So DF = EG

[tex]5x-5=x-11[/tex]

Subtracting [tex]x[/tex] and adding [tex]5[/tex] on both sides.

We have,

[tex]5x-x=11+5[/tex]

[tex]4x=16[/tex]

Dividing 4 both sides.

[tex]x=\frac{16}{4}=4[/tex]

So the value of [tex]x[/tex] is [tex]4[/tex].

Now plugging the value of [tex]x=4[/tex],we will find the numeric value of DF and EG.

DF = [tex]5x-5 =5(4)-5=15[/tex]

EG= [tex]x+11=4+11=15[/tex]

Both are equal DF = EG.

So x=[tex]4[/tex] and the length of diagonals are equal, DF = EG = [tex]15[/tex] unit.

y = 25 + 0.15x is the equation for relating the cost y to the number of miles x that you drive the car

Solution:

Let "y" be the total cost of car rental

Let "x" be the number of miles you drive the car for more than 100 miles

A car rental firm has the following charges for a certain type of car:

$25 per day with 100 free miles included, $0.15 per mile for more than 100 miles

Suppose you want to rent a car for one day, and you know you'll use it for more than 100 miles

Therefore,

Car is rented for one day

You will use it for more than 100 miles

Therefore, equation is framed as:

Total cost = $ 25 + 0.15(number of hours)

[tex]Total\ Cost = 25 + 0.15x\\\\y = 25 + 0.15x[/tex]

Thus the equation for relating the cost y to the number of miles x that you drive the car

Answer:

$370.85

Step-by-step explanation:

sub the 10 for the x

370.85

Answer:

First multiply 10 by 20.5 because x represents the number of weeks.  You get 205.  Next add 165.85 to that and you get 370.85 as your final answer.  

The expression that shows the sum of 5 less than y and the product of 3 and g is (y - 5) + 3g

Step-by-step explanation:

Let us revise some important words to translate a statement to algebraic expression

∵ 5 less than y

- That means subtract 5 from y

∴ 5 less than y = y - 5

∵ The product of 3 and g

- That means multiply g by 3

∴ The product of 3 and g = 3g

∵ The sum of 5 less than y and the product of 3 and g

- That means add (y - 5) and 3g

∴ the expression = (y - 5) + 3g

The expression that shows the sum of 5 less than y and the product of 3 and g is (y - 5) + 3g

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Answer:

Part 1) Is a inconsistent system

Part 2) Is a consistent independent system

Part 3) Is a consistent dependent system

see the attached figure

Step-by-step explanation:

we know that

If a system has at least one solution, it is said to be consistent .  

If a consistent system has exactly one solution, it is independent .  

If a consistent system has an infinite number of solutions, it is dependent

If a system not have solution, it is said to be inconsistent

Part 1) we have

[tex]x+5y=-2\\x+5y=4[/tex]

This system of linear equations has two parallel lines (their slopes are equal) with different y-intercept

so

The lines don't intersect

The system has no solution

therefore

Is a inconsistent system

Part 2) we have

[tex]y=3x+4\\-2x+y=4[/tex]

we know that

If two lines have different slopes, then the lines intersect at one point and the system of equations has one solution

In this problem, the lines have different slopes (m=3 and m=2)

so

The lines intersect at one point

The system has one solution

therefore

Is a consistent independent system

Part 3) we have

[tex]3x+y=4[/tex] ----> equation A

[tex]-6x-2y=-8[/tex] ----> equation B

Multiply equation A by -2 both sides

[tex]-2(3x+y)=-2(4)[/tex]

[tex]-6x-2y=-8[/tex] ----> equation C

Compare equation B and equation C

Are identical lines

so

The system has infinity solutions

therefore

Is a consistent dependent system

Answer:

1) inconsient system

2) consient system

3) consient system

Answer:

increasing

Step-by-step explanation:

Is there a graph?

If you have more info you will get the best answer.

Answer: POINT Y :))

Explanation in the picture below :) hope i helped!!

Percent increase without baggage = 46%

Percent increase with baggage = 66%

Step-by-step explanation:

Cost of ticket two weeks ago= Old value = $250

Increased cost = New value = $365

Change = New value - Old value

Change = 365 - 250 = $115

Percent increase = [tex]\frac{Change}{Old\ value}*100[/tex]

Percent increase = [tex]\frac{115}{250}*100[/tex]

Percent increase = [tex]\frac{11500}{250}=46\%[/tex]

There is 46% increase in the price.

Change after additional baggage = 115+50 = $165

Percent increase = [tex]\frac{165}{250}*100[/tex]

Percent increase = [tex]\frac{16500}{250}=66\%[/tex]

Percent increase without baggage = 46%

Percent increase with baggage = 66%

Keywords: percentage, division

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The percent increase in the cost of airline tickets from Orlando to Denver is 46%. If an additional $50 baggage fee is charged, the percent increase is 66%.

To calculate the percent increase, we can use the formula: Percent Increase = ((New Value - Old Value) / Old Value) x 100. In this case, the old value is $250 and the new value is $365. Therefore, the percent increase is ((365 - 250) / 250) x 100 = 46%.

If the airline charges an additional $50 baggage fee, the new ticket price would be $365 + $50 = $415. To calculate the percent increase from the original price, we can use the same formula. The old value is still $250 and the new value is $415. Therefore, the percent increase with the added baggage fee is ((415 - 250) / 250) x 100 = 66%.

Answer: 15x-10

Step-by-step explanation:To solve this problem you have to do the distributive property. You must do 5 times 3x and 5 times -2. 5 times 3x is 15x and 5 times -2 is -10. This means the answer is 15x-10.

Answer:

Step-by-step explanation:

5(3x - 2)

Opening bracket

= 5(3x) - 5(2)

= 15x - 10

See picture reply for solution steps.

Final answer:

The vertex of the function f(x) = 3(x − 1)² + 2 is (1, 2), the domain is all real numbers, and the range is y ≥ 2, Option A is correct in the given options.

Explanation:

The vertex of the function f(x) = 3(x − 1)² + 2 is (1, 2), because the vertex form of a quadratic function is given by f(x) = a(x − h)² + k, where (h, k) is the vertex. In this case, a = 3, h = 1, and k = 2. The domain of the function is all real numbers, because there are no restrictions on x. The range of the function is y ≥ 2, because the minimum value of the function is 2 (occurring at the vertex) and y can be any value greater than or equal to 2.

Answer:

Mr. Phillips can fill 18 bottles of paint

Step-by-step explanation:

The first thing you should do in this case is to know how many ounces of paint you have:

Painting = 64 + 12 + 32 = 108

Then, to calculate the number of 6-ounce bottles you must divide the total number of ounces by 6:

n = (108) / (6) = 18

Answer:

it 1/4

Step-by-step explanation:

i did the other anwser and it anwsered after i got it wrong

what are you asking

Step-by-step explanation:

Answer:

c= -3

Step-by-step explanation:

The fabric cost is $2.81.

Given that,

Joy needs 8 feet of fabric for a project she is working on, but the store only sells the fabric in meters.

One meter of fabric costs $1.15.

We have to determine,

How much will the fabric cost?

According to the question,

Joy needs 8 feet of fabric for a project she is working on, but the store only sells the fabric in meters.

One meter of fabric costs $1.15.

Then,

The fabric cost = one meter fabric cost × fabric measurement

The fabric cost = 8 × $1.15

The fabric cost = 9.20 feet

The value of [1 ft = 0.305m],

Therefore,

The fabric cost = 9.20 × 0.305 m = $2.81

Hence, The fabric cost is $2.81.

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Final answer:

To determine the cost of 8 feet of fabric when the store sells by the meter, one must convert feet to meters and then multiply by the price per meter, resulting in approximately $2.81.

Explanation:

The student, Joy, needs to convert feet to meters in order to purchase fabric. Since 1 foot is equal to 0.305 meters, she needs to convert 8 feet to meters by multiplying 8 feet by 0.305. This results in approximately 2.44 meters of fabric needed. Given that one meter of fabric costs $1.15, we multiply 2.44 meters by $1.15 per meter to find the total cost. Therefore, the fabric will cost approximately $2.81.

Answer:

  C.  construction of a perpendicular to a line through a given external point

Step-by-step explanation:

The crossing arcs below the line are equidistant from the marked points on the line (J and K), and those are equidistant from point A. If we call the point of intersection of those crossing arcs point X, we know that AX is a perpendicular bisector of JK.

However, J and K are not part of the "given" of this construction. Rather, they are the result of the first step of drawing arcs centered at A. So the fact that AX bisects JK is not important. What is important is that AX is perpendicular to the line and goes through the given point A.

This is a partially-completed construction of a perpendicular to a line through the given external point A.