The quotient of the expression (6x-24)÷x^2-16/6x is 36x/(x + 4)
Finding the quotient of the expressionFrom the question, we have the following parameters that can be used in our computation:
(6x-24)÷x^2-16/6x
Assume that no denominator has a value of 0, we have
(6x-24)÷x^2-16/6x = 6(x - 4) ÷ (x - 4)(x + 4)/6x
Express as products
So, we have the following representation
(6x-24)÷x^2-16/6x = 6(x - 4) * 6x/(x - 4)(x + 4)
When the factors are evaluated, we have
(6x-24)÷x^2-16/6x = 36x/(x + 4)
Hence, the solution is 36x/(x + 4)
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Identify the unit rate shown in the graph. A graph is shown.
A. $7 per hour B. $9 per hour C. 7 hours per $1 D. 9 hours per $1
Answer:
A
Step-by-step explanation:
it cant be 9 per hour cuz it is a smaller amount and A is the only one that makes sens
3. Find volume. Show work, round to 2 decimal places.
*square based pyramid*
the first thing that you're supposed to do is multiply all the given measurements as we know that volume is equal to length times with times height so you have to multiply all the three given measurements the answer that you get after multiplying those three given measurements you have to round your answer to the nearest two decimal places therefore after they'll call my they need to be two numbers just after the coma
you would use a ---select--- test to determine if sample data provide evidence that hypothesized proportions are not correct for a single categorical value from a single population.
You would use a Chi-square test to determine if sample data provide evidence that hypothesized proportions are not correct for a single categorical value from a single population.
You would use a hypothesis test to determine if sample data provide evidence that hypothesized proportions are not correct for a single categorical value from a single population. This type of hypothesis test is commonly used in statistics to evaluate the significance of differences between observed and expected frequencies.
The test involves selecting a sample from the population of interest, calculating the sample proportions, and comparing them to the hypothesized proportions using statistical methods. If the observed proportions are significantly different from the hypothesized proportions, then there is evidence to suggest that the hypothesized values are not correct.
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You would use a one-sample proportion test to determine if sample data provide evidence that hypothesized proportions are not correct for a single categorical value from a single population.
In this test, we compare the observed proportion (based on the sample data) to a hypothesized proportion (based on the null hypothesis) using a test statistic and a p-value. If the p-value is less than the chosen significance level (e.g., 0.05), we reject the null hypothesis and conclude that the observed proportion is significantly different from the hypothesized proportion.
This test is often used in quality control, market research, and public opinion polling to test whether a particular proportion (such as the proportion of defective products or the proportion of people who support a particular policy) is consistent with a hypothesized value.
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What is the error in the solution of the proportion shown at the right?
A. The second line should be 2x + 18 = 3x making the final answer 18 = x
B. The second line should be 2x + 27 = 3x making the final answer 27= x
C. The second line should be 3x + 9 = 2x making the final answer 9 = x
D. There is no error
The error in the proportion is the second line should be 2x + 18 = 3x making the final answer 18 = x
The error in the solution of the proportion shown can be calculated as follows:
Therefore, let's solve the equation to know the error made.
2 / 3 = x / x + 9
cross multiply
2(x + 9) = 3x
open the brackets
2x + 18 = 3x
subtract 2x from both sides of the equation
2x + 18 = 3x
2x - 2x + 18 = 3x - 2x
x = 18
Therefore, he made mistake in the second line, it should be 2x + 18 = 3x making the final answer 18 = x
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Fill in the blanks. 8 x 12 = 8 x (10 + ?) = (8 x 10) + (8 x ?) = 80 + ? = ?
(i need help on the question marks)
Bri opened up a savings account that earns 1.25% interest, compounded monthly. If she puts $2500 in the account to start, how much money would be in her account 4 years later, assuming no additional money was deposited or withdrawn from the account? Group of answer choices $2377.32 $2620.36 $2628.11 $2510.43
Answer:
The formula for calculating the future value of an investment with compound interest is:
A = P(1 + r/n)^(nt)
where A is the future value, P is the principal (initial amount), r is the annual interest rate (as a decimal), n is the number of times the interest is compounded per year, and t is the time period in years.
In this case, P = $2500, r = 0.0125 (1.25% as a decimal), n = 12 (since the interest is compounded monthly), and t = 4.
Plugging these values into the formula, we get:
A = 2500(1 + 0.0125/12)^(12*4) ≈ $2,628.11
Therefore, the answer is $2628.11.
Answer: $ 2628.11
Step-by-step explanation:
Compound interest is nasty.
the formula (which you need to memorize) is:
[tex]A = P(1+\frac{r}{n} )^t^n[/tex]
A is the final amount, P is the principle, (original amount of money invested), r is the rate of return (as a decimal NOT percent), n is the number of times compounded annually, and t is the time, (in years), invested.
With all this information, our formula becomes:
[tex]A = 2500(1+\frac{0.0125}{12} )^4^8[/tex]
solving, we get A ≅ 2628.11
This corresponds to answer choice C
Help please
I don't know ️
Please help me
Answer:
3×4-8=b
Step-by-step explanation:
The total number of batteries fatima has is :
3×4= 12
She has 12 batteries but she gave her brother 8
12-8=4
And batteries represent b
So the equation is
3×4-8=b
The length of a rectangle is
double its width and the area of
the rectangle is 288 cm². What is
the perimeter of the rectangle?
The perimeter of the rectangle is 72 cm.
what you mean by perimeter?Perimeter is the total distance around the boundary of a two-dimensional shape. It is the sum of the lengths of all sides or edges of the shape.
The perimeter is usually measured in units such as centimeters (cm), meters (m), feet (ft), or inches (in), depending on the unit of measurement used for the sides or edges.
Let's start by assigning variables to the length and width of the rectangle.
Let x be the width of the rectangle in cm.
Then, the length of the rectangle is double the width, which is 2x cm.
We know that the area of the rectangle is 288 cm², so we can set up an equation:
Area = Length x Width
288 = 2x * x
Simplifying the equation, we get:
288 = 2x²
Dividing both sides by 2, we get:
144 = x²
Taking the square root of both sides, we get:
x = ± 12
Since x cannot be negative (as it represents a length), we take x = 12 cm as the width of the rectangle.
The length of the rectangle is 2x, which is 24 cm.
Now we can find the perimeter of the rectangle, which is given by the formula:
Perimeter = 2(Length + Width)
Substituting the values we found, we get:
Perimeter = 2(24 + 12) = 72 cm
Therefore, the perimeter of the rectangle is 72 cm.
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if £1=9.60DKK, how much is 55p in DKK. Answer to 2d.p.
Answer:3
Step-by-step explanation:
1+2=3
what is the solution to the inequality -0.4x1.27>0.8
Answer:
x < 1.175
Step-by-step explanation:
-0.4x + 1.27 > 0.8
-0.4x > -0.47
x < 1.175
A number "z" when rounded to the nearest whole, is equal to
Find the upper and lower bound of "z"
In order to find the upper and lower bounds of a rounded number:
Identify the place value of the degree of accuracy stated.Divide this place value by 2 .Add this amount to the given value to find the upper bound, subtract this amount from the given value to find the lower bound.How to explain the boundThe upper and lower bounds can be found by dividing the degrees of accuracy by 2 and then subtracting and adding with the value to give the lower and upper bounds respectively.
Kindly check the above explanation inorder to know how to calculate the value as your information is incomplete
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How does one find the upper and lower bound of a variable
DUE FRIDAY PLEASE HELP WELL WRITTEN ANSWERS ONLY!!!! 20 POINTS
Students in a high school mathematics class decided that their term project would be a study of the strictness of the parents or guardians of students in the school. Their goal was to estimate the proportion of students in the school who thought of their parents or guardians as “strict”. They do not have time to interview all 1000 students in the school, so they plan to obtain data from a sample of students.
1. Describe the parameter of interest and a statistic the students could use to estimate the parameter.
2. Is the best design for this study a sample survey, an experiment, or an observational study? Explain your reasoning.
3. The students quickly realized that, as there is no definition of “strict”, they could not simply ask a student, “Are your parents or guardians strict?” Write three questions that could provide objective data related to strictness.
4. Describe an appropriate method for obtaining a sample of 100 students, based on your answer in question 1.
The percentage of students at the school who describe their parents or guardians as "strict" is the key statistic. 2. A sample survey is the ideal research design for this project.
What is Proportion?Since it would be impractical to poll all 1000 kids at the school, the students intend to collect data from a sample of students in order to concentrate on the strict guardians, which is a population parameter.
The sample proportion could be used by the students as a statistic to determine this population proportion. They can ask a sample of pupils drawn at random from the school whether they think their parents or guardians are "strict". The percentage of sample kids who respond "yes" can be used to approximate the percentage of school-wide students who view their parents or guardians as "strict". A statistic that offers an estimate of the population parameter of interest is the sample proportion.
Random sampling would be a suitable technique for generating a sample of 100 pupils. Each kid in the school might be given a number, and the pupils could then use a random number generator to choose 100 numbers from the list. The chosen students might then be contacted and asked to take part in the study. This technique lessens the possibility of bias in the sample selection process and aids in ensuring that the sample is representative of the population.
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Serena is making a model of one of the Egyptian pyramids. The square base has sides that are all 4. 8 in. Each of the triangular faces has a base of 4. 8 in and a height of 4. 2 in. How much paper would it take to cover the entire pyramid?
To cover the entire area of pyramid, Serena would need approximately 63.36 square inches of paper.
The area of the square base is
4.8 in x 4.8 in = 23.04 sq in
The area of each triangular face is
(1/2) x base x height = (1/2) x 4.8 in x 4.2 in = 10.08 sq in
Since there are four triangular faces, the total area of the triangular faces is
4 x 10.08 sq in = 40.32 sq in
Therefore, the total surface area of the pyramid is
23.04 sq in + 40.32 sq in = 63.36 sq in
So, it would take 63.36 square inches of paper to cover the entire pyramid.
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A random sample of 50 people from a town with a
population of 14,878 were asked to name their
favorite flavor of ice cream. If 7 people in the sample
named chocolate as their favorite ice-cream flavor,
about how many people in the town would be
expected to name chocolate?
A)
350
B) 2,100
C) 7,500
D) 10,500
The closest answer among the given options is B) 2,100.
To estimate the number of people in the town who would name chocolate as their favorite ice-cream flavor, we can use proportions. We know that 7 out of 50 people in the sample named chocolate as their favorite. To find the proportion of chocolate lovers in the sample, we can divide the number of chocolate lovers by the total number of people surveyed:
7 chocolate lovers / 50 people surveyed = 0.14
Now, we can apply this proportion to the total population of the town to estimate the number of chocolate lovers:
0.14 * 14,878 (total population) ≈ 2,082.92
Since we can't have a fraction of a person, we can round this number to the nearest whole number:
Approximately 2,083 people in the town would be expected to name chocolate as their favorite ice-cream flavor.
The closest answer among the given options is B) 2,100.
A farmer is planning to create a new grazing field for
his horses. He determines that he needs 280 yards of fencing
for his new field. The fencing is sold by the foot. How many
feet of fencing should the farmer buy? Explain.
Answer:
840 feet
Step-by-step explanation:
1 yard = 3 feet
280 yards = x
x = 280 × 3
x = 840 feet
You paint four walls. Each wall is a rectangle with a length of 20 feet and a height of 12 feet. One gallon of paint covers about 320 square feet. How many gallons of paint do you need in order to cover the walls?Give explanation
Answer:
To find out how many gallons of paint are needed to cover the walls, we need to first find the total area of the walls.
The four walls are rectangles with a length of 20 feet and a height of 12 feet. So, the area of one wall is:
20 feet x 12 feet = 240 square feet
Since there are four walls, the total area of the walls is:
4 x 240 square feet = 960 square feet
We know that one gallon of paint can cover approximately 320 square feet. To find how many gallons of paint are needed, we can divide the total area of the walls by the area covered by one gallon of paint:
960 square feet ÷ 320 square feet per gallon = 3 gallons of paint
Therefore, you need approximately 3 gallons of paint to cover the walls.
Mrs. Dundee wants to sell the rights to her new Cajun cookbook, and she has two offers. The first publisher has offered to pay $80,000 up front and a $3 royalty for every book sold. The second publisher has offered to pay $30,000 up front and $5 for every book sold. Over what range of sales will Mrs. Dundee make more from the second publisher than from the first?
Mrs. Dundee will make more from the second publisher than from the first if she sells more than $25,000 worth of books.
What is the rate?In mathematics, rate is a measure of the change in one quantity with respect to another quantity. It is typically expressed as a ratio between the two quantities.
According to the given information:Let's represent the number of books sold as "x". Then, the total amount of money that Mrs. Dundee will make from the first publisher is:
Total from first publisher = $80,000 + ($3 x x) = $3x + $80,000
Similarly, the total amount of money that she will make from the second publisher is:
Total from second publisher = $30,000 + ($5 x x) = $5x + $30,000
We want to find the range of values of x for which the total amount from the second publisher is greater than the total amount from the first publisher. In other words, we want to find the range of values of x for which,
$5x + $30,000 > $3x + $80,000
Simplifying this inequality, we get:
$2x > $50,000
x > $25,000
Therefore, Mrs. Dundee will make more from the second publisher than from the first if she sells more than $25,000 worth of books.
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engineers designing the next generation of space shuttles plan to include two fuel pumps - one active, the other in reserve. if the primary pump malfunctions, the second is automatically brought on line. suppose a typical mission is expected to require that fuel be pumped for at most 50 hours. according to the manufacturer?s specifications, pumps are expected to fail once every 100 hours. what are the chances that such a fuel pump system would not remain functioning for the full 50 hours?
The probability that this particular fuel pump system when put into the required condition would not remain functional for the full 50 hours is 0.0199.
Therefore, the probability of a fuel pump failing in a mission can be evaluated using the formula designed for probability of failure in a system with two pumps in series connection
P(failure) = P(pump 1 fails) + P(pump 2 fails) - P(both pumps fail)
Here
P(pump 1 fails) = P(pump 2 fails) = 0.01
P(both pumps fail) = (0.01)² = 0.0001.
Now,
P(failure) = 0.01 + 0.01 - 0.0001 = 0.0199
The probability that this particular fuel pump system when put into the required condition would not remain functional for the full 50 hours is 0.0199.
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The population of a city has been increasing by 2% annually. The sign shown is from the year 2000.
Write an exponential growth function that represents the population t
years after 2000.
y=
.
What will the population be in 2020? Round your answer to the nearest thousand.
The population will be about
.
The exponential growth function for the given initial population of the city is y = 315,000 × (1 + 0.02)ⁿ .
And the population increase in the year 2020 is equal to 468000.
Population in the year 2000 = 315,000
Increase in population growth by 2%
The population is increasing by 2% annually, which means the growth rate is 0.02 per year.
The initial population in the year 2000 is 315,000.
An exponential growth function as follows,
y = a ( 1 + r )ⁿ
Where 'a' represents the initial population of the city.
And 'r' represents the rate of the growth of the population.
y = 315,000 × (1 + 0.02)ⁿ
where n is the number of years after 2000 .
And y is the population at that time.
To find the population in the year 2020,
Substitute n = 20 into the equation to get the population in 2020 and solve for y,
y = 315,000 × (1 + 0.02)²⁰
⇒ y = 315,000 × (1.02)²⁰
⇒ y = 315,000 × 1.4860
y ≈ 468073.4
Rounding to the nearest thousand, the population in 2020 will be about 468000.
Therefore, the exponential growth function is y = 315,000 × (1 + 0.02)ⁿ and the population in 2020 is 468000.
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The above question is incomplete, the complete question is:
The population of a city has been increasing by 2% annually. The sign shown is from the year 2000.
City limit
Brookfield
Population. 315,000
Write an exponential growth function that represents the population t
years after 2000?
y=
What will the population be in 2020? Round your answer to the nearest thousand.
The population will be about
PLEASE HELP FASTTT LIKW IN LESS THAN 30 MINUTES PLSS IM GIVING BRAINLIEST
Answer:
Each student will have passed 17 tests; It will take 3 weeks.
Step-by-step explanation:
The explanation is in the picture.
Please help to hard and I’ll give u 20 points
Answer: 2:4
Step-by-step explanation:
Consider the triangle with vertices (-7, -2), (-2, -5) , and (2, 3). What is the approximate perimeter of the triangle?
The perimeter of the triangle is 23.623 units.
What is perimeter of triangle?
Finding the distance around a triangle entails determining its perimeter. The distance formula can be used to calculate the side lengths if you don't already know all of them. The simplest way to find a triangle's perimeter is to add up all of its sides' lengths.
The distance between two points (x1,y1) and (x2,y2) can be determined using the following formula: √(x₂-x₁)² + (y₂ - y₁)²
Let the given vertices are (-7, -2), (-2, -5) , and (2, 3).
Distance formula for two points is = √(x₂-x₁)² + (y₂ - y₁)²
Using the formula,
AB = √((-2)-(-7))² +((-5)-(-2))²
= √(-2+7)² + (-5+2)²
= √5² + (-3)²
= √25 + 9
= √31
Similarly, BC = √(2 - (-2))² + (3-(-5))²
= √(2+2)² + (3+5)²
= √4² + 8²
= √16+64
= √80
CA = √((-7)-2)² + (-2 + 3)²
= √(-9²) + 1
= √81+1
=√82
Perimeter of triangle = AB + BC + CA
= √31 +√81 +√82
= 5.5677 + 9 + 9.0553
= 23.623
Therefore, the perimeter of the triangle is 23.623 units.
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Monte owns a bakery. He has four employees, who each earn a different hourly wage.
Which two quantities are needed to determine the total amount of money Monte paid his employees this month?
A. the hourly salary of each employee
B. the number of hours the bakery was open each day
C. the number of hours each employee worked this month
D. the number of customers who visited the bakery this week
E. the total number of hours the employees have worked this year
The two quantities needed to determine the total amount of money Monte paid his employees this month are:
A. the hourly salary of each employee
C. the number of hours each employee worked this month.
How the total salary for the month is determined?With four employees at the Monte Bakery, who earn a different hourly wages, to work out the total salary for the month, Monte needs to multiply the hourly wage of each employee by the total number of hours each worked.
Thus, in this mathematical operation, we first use multiplication and then add each individual employee's total salary to sum the total salary for the month.
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Convert the following percents to decimals.
150% =
Answer:
1.5
Step-by-step explanation:
Move the decimal point two places to the left to go from a percentage to a decimal.
17. Corina makes $27 for every 2 hours that she works. If she worked 36
hours this week, how much money did she make?
If she worked 36 hours this week, then Corina made $486 this week.
From the question, we have the following parameters that can be used in our computation:
Corina makes $27 for every 2 hours that she works.
So she makes:
27/2 = $13.50 per hour
If she worked 36 hours this week, she would make:
36 hours x $13.50 per hour = $486
Therefore, Corina made $486 this week.
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What is the length of the hypotenuse of the triangle below?
A 7-foot-high rectangular door needs 2 lengths of trim that make an X on the door.
If the door width is 3 feet, what is the length of the diagonal in feet?
10
�
�
10
ft
21
�
�
21
ft
40
�
�
40
ft
58
�
�
58
ft
The length of the diagonal of the door is approximately 14.308 feet. Rounding to the nearest whole number, the answer is 14 feet.
Length of triangle calculation.
The lengths of the trim pieces that make an X on the door form the legs of a right triangle, and the diagonal of the door forms the hypotenuse of the right triangle. Using the Pythagorean theorem, we can find the length of the hypotenuse:
a^2 + b^2 = c^2
where a and b are the lengths of the trim pieces and c is the length of the hypotenuse.
Each trim piece forms a right triangle with the height of the door (7 feet) and one half of the width of the door (1.5 feet). Using the Pythagorean theorem, we can find the length of each trim piece:
a^2 + b^2 = c^2
where a = 7 feet and b = 1.5 feet
c = sqrt(a^2 + b^2) = sqrt((7 feet)^2 + (1.5 feet)^2) = sqrt(49 + 2.25) = sqrt(51.25) ≈ 7.154 feet
The length of each trim piece is approximately 7.154 feet. Since there are two trim pieces that intersect at the center of the door, the length of the hypotenuse is twice this length:
2 * 7.154 feet ≈ 14.308 feet
Therefore, the length of the diagonal of the door is approximately 14.308 feet. Rounding to the nearest whole number, the answer is 14 feet.
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what is the side length of a square with the area of 1/16 sq
The side length of the square that has the given area would be = 1/4
How to calculate the side length of a given square?To calculate the side length of a given square the formula for the area of a square should be used. That is;
Area of a square = a²
where;
a = length = ?
area = 1/16
That is = 1/16 = a²
a = √1/16
= 1/4
Therefore the side of the square whose area is given should have the length of 1/4
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Simplify (2x3y)(3x4y2).
5x7y3
6x7y2
6x7y3
6x12y2 -------------------------------- (69 points ill follow you thank the question and
account if its right)
The expression[tex](2x^3y)(3x^4y^2)[/tex] simplifies to [tex]6x^7y^3[/tex]. The coefficients are multiplied, and the variables are combined by adding their exponents. Option C.
To simplify the expression [tex](2x^3y)(3x^4y^2),[/tex] we can multiply the coefficients and combine the variables with the same base by adding their exponents.
Multiplying the coefficients, we have:
2 * 3 = 6
For the variables, we multiply the x terms by adding their exponents (3 + 4 = 7), and the y terms by adding their exponents (1 + 2 = 3).
Therefore, simplifying the expression [tex](2x^3y)(3x^4y^2)[/tex] gives us:
[tex]6x^7y^3[/tex]
Hence, the simplified form of[tex](2x^3y)(3x^4y^2)[/tex] is[tex]6x^7y^3[/tex]. Option c is correct.
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Answer:
C:6x7y3
Step-by-step explanation:
i took the test and got it right
WHAT IS THE RANGE OF THIS PIECEWISE FUNCTION?
The given piecewise function has a range of:
Range = {46, 48, 50, 52, 54, 56}.
What is range of a function?The range of a function is the set of all possible output values, or the set of all y-coordinates that correspond to the x-coordinates in the domain of the function.
It is, in other words, the entire set of values that the function is capable of returning as its result.
From the given piecewise function, we can see that the y-coordinates of the function are limited to the values 46, 48, 50, 52, 54, and 56.
These values correspond to the y-intercepts of each of the line segments in the graph.
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f(x)= lx+3l-7
What will the function be if it has been:
1. Reflected across the x-axis
2. Translated left 4 units
3. Translated down 3 units
Please type answer with no spaces. The absolute value key should be located directly above the "Enter/Return" key on your keyboard.
The function after each transformation is given as follows:
1. Reflected across the x-axis: f(x) = -|x + 3| + 7.
2. Translated left 4 units: f(x) = |x + 7| - 7.
3. Translated down 3 units: f(x) = |x + 3| - 10
How to define the functions?The function for this problem is defined as follows:
f(x) = |x + 3| - 7.
When the function is reflected across the x-axis, we have that the entire function is multiplied by -1, hence:
f(x) = -(|x + 3| - 7)
f(x) = -|x + 3| + 7.
When the function is translated left 4 units, we have that x -> x + 4, hence:
f(x) = |x + 4 + 3| - 7
f(x) = |x + 7| - 7.
When the function is translated down 3 units, we have that f(x) -> f(x) - 3, hence:
f(x) = |x + 3| - 7 - 3
f(x) = |x + 3| - 10
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