Over which interval is this function continually decreasing? f(x) = |4(x - 1)| + 2

The credit card company calculated a finance charge of $7.66 on Ron's bill if the annual percentage rate is 18%.

The finance charge is the product of the average daily balance and the monthly percentage rate.

The annual percentage rate (APR) is 18% or 0.18.

$510.50× 0.18 / 12 =$7.66

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The values of x and y are -49/4 and -15/8 respectively for the given set of equations -2x + 4y = 17 and 3x - 10y = -3.

An equation is a combination of different variables, in which two mathematical expressions are equal to each other.

The given pair of equations,

-2x + 4y = 17      (1)

3x - 10y = -3      (2)

Multiply equation (1) with 3 and equation (2) with 2  

-6x + 12y = 51         (3)

6x - 20y = -6          (4)

Add equation (3) and (4),

- 8y = 15

y = -15/8

Substitute the value of  y in equation (1)

-2x + 4 (-15/8) = 17

-2x - 15/2 = 17

-2x = 49/2

x = - 49/4

The values of x and y for the given equations are -49/4 and -15/8 respectively.

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For the given equation the value of x and y will be 15/4 and 17/8 respectively

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that, the equations are,

-2x+4y=17 -------(1)

3x-10y= -3

The value of x from equation 1 is,

-2x+4y=17

x=(17-4y)/2 -------(2)

Substitute the value of x in equation 2,

3x-10y=-3

3(17-4y)/2-10y= -3

y=17/8

The value of x is obtained as,

x=15/4

Thus, for the given equation the value of x and y will be 15/4 and 17/8 respectively

The question is incomplete the complete question is"solve the linear equation -2x+4y=17, 3x-10y=-3

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Answer: 83 on the dot

Step-by-step explanation:83x4.50=373.50

Answer: 1

Step-by-step explanation:

Very simple both of them have the same base is 7. And we know that the number is 7x9, so the triangle is 1 because when both numbers have the same base, we will subtract the other number to get the answer!

The equation of the line that passes through point (-1, 3) and parallel to line y = 3x + 2 is

As a parallel line part of the qualities include that the slopes of the lines  are equal  

The equation of line is y = 3x + 2

The slope intercept form of the form as

y = mx + c

where

m = slope

c = intercept

x = input variables

y = output variables

Line has slope, m = 3, a new parallel line of slope 3 passing through point  (-1, 3)

(y - y₁) = m  (x - x₁)

y - 3 = 3 (x - -1)

y = 3x + 1 + 3

y = 3x +  4

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Answer: 5(x+-2) = 30

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

5(x+(-2))=30

5x-10=30

   +10 +10

5x=40

/5.  /5

x=8

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Answer:

The equation of the sunflower's height is h = 18+2.5w

Since the number 18 remains constant regardless of the change in number of weeks, we know that at the start h (w=0) = 18 + 2.5 x 0.

This means that, when Jin planted the sunflower, the sunflower's height was already 18 inches.

For such a reason, we can conclude that the number 18 could represent the sunflower's height at the start (original height).

--

Have a nice day!!

Expressions that represent the total cost of the field trip is

0.8{10x + 20y}.

A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.)

It is possible to compare expressions and phrases. In English, a phrase by itself could contain an action, but it doesn't constitute a full sentence.

As instances of expressions and how they connect to word phrases, consider the following:

Example: 3 + 7

The phrase "the product of three and seven"

Cost of Ticket for each student cost = $10

Cost of Ticket for each Teacher cost = $20

Let the total students be x

and, total number of teacher will be y

Total cost= 10x + 20y

As museum gives 20 % rebate for promotion

So, now total cost will be {10x + 20y} - 20/100 {10x + 20y}

So the required Expression would be 0.8{10x + 20y}.

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Answer:

y = -1/3x + 2

Step-by-step explanation:

Slope-intercept form of a linear equation is written as:

y = mx + b, where x and y are coordinates from one of the points on the line, m is the slope, and b is the y-intercept.

1. You'll first want to find the slope, m. Slope can be calculated from two points by using the equation (y1 - y2)/(x1 - x2). If you plug your two points into this equation for x and y (making sure that y1 and x1 are from the same point and y2 and x2 are from the other), you'll get,

(3 - 1)/(-3 - 3) = 2/-6 = -1/3

m = - 1/3

2. You can then plug your slope, m, into the slope-intercept form of the equation. Using one of your points (doesn't matter which, but I'll use (3,1)), you can solve for b, your y-intercept.

1 = -1/3(3) + b

1 = -1 + b

b = 2

3. Plug the variables into the equation.

For your final equation, plug the slope, m, and y-intercept, b, that you just found.

y = -1/3x + 2

It will take 6 months for Omari to finish paying off the monthly payment for the computer.

What is the monthly payment?

The amount paid each month to repay the loan over the course of the loan is known as the monthly payment. When a loan is taken out, not only the principal, or the original lent amount, but also the interest that accrues, must be repaid.

Given, the total price of the computer = $1,099

down payment = 20% of $1,099 = $219.8

The remaining amount = $1,099 - $219.8 = $879.2

monthly payments for the computer = $144

Then, the total months to pay = 879.2/144 = 6 months

Hence, it will take 6 months for Omari to finish paying off the monthly payment for the computer.

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Answer: 9/4

Step-by-step explanation:

The equation for this is 3/4 x 3 = 3/4 x 3/1 = 2 1/4

Simple 2 1/4 to fraction = 9/4

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The mug has a capacity of 2 1/4 cups of water, as per the given conditions.

Given that,
A mug is 1/3 full. The mug contains 3/4 of a cup of water. Find the capacity of the mug.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
As
1 / 3 of mug = 3 / 4 cups
1 of mug = 3/4 / [1/3]
1 of mug = 3×3 / 4
1 of mug = 9 / 4 cups or 2 1 / 4 cups

Thus, the mug has a capacity of 2 1/4 cups of water, as per the given conditions.

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Answer:

Step-by-step explanation: with what????????????????????

Answer:

theres no image?

Step-by-step explanation:

Answer:

so I think the anwerst it all jedi younglings

The length of the side c is equal to 29.54 approximately to 2 decimal place, using the sine rule.

The sine rule is a relationship between the size of an angle in a triangle and the opposing side.

For the triangle ABC, by sine rule;

a/sinA = b/sinB = c/sinC

We first derive the angle C as follows:

46° + 73° + C = 180° {sum of interior angles of a triangle}

C = 180° - 119

C = 61°

Thus by sine rule;

c/sin61° = 32.3/sin73°

c = (32.3 × sin61°)/sin73° {cross multiplication}

c = 29.5410

Therefore, by proper application of the sine rule we have the length of the side c to be equal 29.54 approximately to 2 decimal place.

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The equivalent value of the [x] that satisfy the given statement is 18.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis of the given problem.

Given is the statement -

the quotient of a number and three increased by 10 is 16

The given mathematical statement is -

the quotient of a number and three increased by 10 is 16

Assume the number to be [x]. Then, we can write -

(x/3) + 10 = 16

x/3 = 16 - 10

x/3 = 6

x = 6 x 3

x = 18

Therefore, the quotient of 18 and three increased by 10 is 16.

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Answer:

top option: The function is nonlinear and does not have a constant rate of change

Step-by-step explanation:

This is a parabolic function, meaning that it increases exponentially. Therefore, it is nonlinear and does not have a constant slope (rate of change).

Answer:

[tex]\huge{\boxed{\text{The height of the triangle is 6cm.}}}[/tex]

Step-by-step explanation:

This question requires us to use a system of equations.

The area of a triangle is (1/2) * (base) * (height).

Thus, if b = base, and h = height

[tex]\frac{1}{2} bh=36[/tex]

Additionally, from the problem, we know:

[tex]b=h+6[/tex]

Then, via substitution, we can get

[tex]\frac{1}{2} *(h+6)*h=36[/tex]

Then, simplify:

[tex]\frac{1}{2} h^2+3h=36[/tex]

[tex]\frac{1}{2} h^2+3h-36=0[/tex]

[tex](\frac{1}{2} h-3)(h+12)=0[/tex]

Thus, the height must equal either 6 or -12, and because height cannot intrinsically be negative, the height must be 6.

Hope it helps :) and let me know if you want me to elaborate.

Answer:

22

Step-by-step explanation:

Things To Keep In Mind:

(X, Y)

(12, -16) and (-10, -16) have the same Y, which means to find the distance all you have to do is subtract the Xs.

12 - -10

12 + 10

22

If there are any problems in this answer please tell me, thanks :)

Answer:

Step-by-step explanation:

Length of side AB=a=10.75cm

Answer:

25% increase

Step-by-step explanation:

120 thousand cars were manufactured in a country in the year 2004-O5. The production of cars increased to 150 thousand in 2005-06. Find the percentage increase in the manufacture of cars.

(150 - 120) / 120 = 0.25

0.25 = 25% increase

Car A is travelling at a faster rate than Car B because its line on the graph is  steeper.

Average Understanding speed will help you better comprehend the pace of a travel. The speed may occasionally change while traveling. Finding the average speed becomes crucial in this situation so that you can get an idea of how quickly the travel will be finished.

Divide the overall distance traveled by the time period to find the average speed. An someone traveling at an average speed of 40 miles divided by 40 minutes, or 1 mile per minute, would be driving 20 miles north and then 20 miles south to arrive at the same location (60 mph)

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Answer:

d

Step-by-step explanation:

its 3 to the right and top and its not a negative number so we don't go left

Answer:

Graph A

Step-by-step explanation:

The equation indicates the line has a positive slope and a y-intercept of 0.  The only graph that corresponds to those conditions is Graph A.

To convert the fraction 2 8/10 to a decimal, divide the numerator (8) by the denominator (10):

Then, add the integer part (2) to the result:

Therefore, the decimal representation of 2 8/10 is 2.8.

The output values from the rule are -12, 2, 0, -6 and -10

From the question, we have the following parameters that can be used in our computation:

Rule = add -6

This means that

Output = Input - 6

Using the values in the question, we have

Output = -6 - 6 = -12

Output = 8 - 6 = 2

Output = 6 - 6 = 0

Output = 0 - 6 = -6

Output = -4 - 6 = -10

The above represent the output values

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The transformation that is results in the given function is a horizontal shrink of scale factor 1/4.

Remember that for a function f(x), we define a horizontal shrink of scale factor k as:

g(x) = f(x*1/k)

Here we know that:

f(x) =x^2

g(x)= f(4x) = (4x)^2

Then this is equivalent to an horizontal shrink of scale factor of 1/4

Then the scale factor is k = 1/4, and the correct option is A.

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Answer:

3√3?

Step-by-step explanation:

The equation which models the distance of the turtle from the pond is q = 26.2 + 3.5p. Option D. is the answer

Given that:

A turtle is 26.2 meters from a pond when it starts crawling toward the pond

The turtle crawls straight toward the pond at a constant rate of 3.5 meters per minute

q represents the turtle's distance, in meters, from the pond and p represents the number of minutes since it started crawling toward the pond

The linear equation is of the form y = mx + c

where m is the rate of change and c is the starting point or y-intercept

m = 3.5 meters per minute, c = 26.2 meters

y = q ( turtle's distance) and x = p (number of minutes)

Thus, the equation models the distance will be:

q = 26.2 + 3.5p

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Answer:

Step-by-step explanation:

answer for 1 & 2 & 3