Answers
The transformation describing the function is a translation 5 units to the right.
What is transformation?Transformation of functions means that the curve representing the graph either "moves to left/right/up/down" or "it expands or compresses" or "it reflects".
Given that, a function f(x) = x² translated to g(x) = (x-5)²
We know,
h(x) = A(x - h)² + k
Where
A represent the vertical stretch (by factor of A)
h represent the horizontal shift (positive = Right, negative = Left)
k represent the vertical shift (positive = Up, negative = Down)
f(x) = x²
g(x) = (x - +5)²
Where, positive shows to the right.
Hence, the translation is 5 units to the right.
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Related Questions
What i cot of tiling a rectangular plot of land 500m long and 200m wide at the rate r 8 per q m
Answers
The cost of tilling a rectangular plot of land 500m long and 200m wide at the rate of rs 8 per sq m is Rs. 8,00,000.
Area of rectangle = length × breadth
Area of rectangular plot = 500× 200 = 1,00,000 sq m
Cost of tilling 1 sq m of land = Rs. 8
Cost of tilling 1,00,000 sq m of land = 8 × 1,00,000 = Rs. 8,00,000
Thus, The cost of tilling a rectangular plot of land 500m long and 200m wide at the rate of rs 8 per sq m is Rs. 8,00,000.
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2x+3forx=3
show work
Answers
Answer:
9
just sub value of x into the equation
(2x3)+3
6+3
9
2(3) + 3
6 + 3 = 9
please help almost done with this thing. also, will mark brainliest for the best answer
Answers
The functions for this problem are classified as follows:
Land: Linear function.Car: Linear function.How to classify a function as exponential or linear?A function is classified as exponential if when the input variable is changed by one, the output variable is multiplied by a constant.
A function is classified as linear if when the input variable is changed by one, the output variable is increased/decreased by a constant.
For the land function, the rates are given as follows:
36.9/30 = 1.23.44.1/36.9 = 1.20.51.1/44.1 = 1.16.58.1/51.1 = 1.14.The differences are given as follows:
36.9 - 30 = 6.9.44.1 - 36.9 = 7.2.51.1 - 44.1 = 7.58.1 - 51.1 = 7.Neither are exactly the same, however the variations for the differences are less, meaning that it can be classified as a linear function.
For the car, the rates are given as follows:
12.1/9 = 1.344.15/12.1 = 1.24.17.9/15 = 1.19.20.9/17.9 = 1.17.The differences are given as follows:
12.1 - 9 = 3.1.15 - 12.1 = 2.9.17.9 - 15 = 2.9.20.9 - 17.9 = 3.Again less change on the differences, hence also linear.
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Fatimah ate f cookies. Satvinder ate six fewer than two times the number that Fatimah ate. If Satvinder ate 4 cookies, write and solve an equation to find f, the number of cookies Fatimah ate.
Answers
If Satvinder ate 4 cookies, then the number of cookies that Fatimah ate will be 5.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Fatimah ate f treats. Satvinder ate six less than twice the number that Fatimah ate.
Let 's' be the number of cookies eaten by Satvinder. Then the equation is given as,
s = 2f - 6
If Satvinder ate 4 cookies, then the number of cookies that Fatimah ate will be given as,
4 = 2f - 6
2f = 10
f = 5
On the off chance that Satvinder ate 4 treats, the number of treats that Fatimah ate will be 5.
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Deposited (dollars)
12,500
10,000
7,500
$5,000
rate of change=
2,500 initial value=
Time (years)
y
dollars per year
dollars
Answers
The rate of change is $2500 per year.
The initial amount is $5000.
What is slope?The value of the steepness or the direction of a line in a coordinate plane is known as the slope of a line, often known as the gradient. Given the equation of a line or the coordinates of points situated on the straight line, slope can be determined using a variety of techniques.
The formula for slope between two points (x₁, y₁) and (x₂, y₂) is,
m = (y₂ - y₁)/(x₂ - x₁)
In the given graph,
The initial value that deposited at x = 0 is $5000.
To find the rate of change in amount per year,
Find slope of the line, because rate of change will be equal to slope.
Let two points are (0, 5000) and (1, 7500)
The slope = (7500 - 5000 / 1 - 0) = 2500
The rate of change is $2500 per year.
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Which polynomial is prime?
O x² +7
Ox²-25
O3x²-27
O 2x²-8
Answers
Explanation:
All of the polynomials listed are quadratic polynomials, which have the general form ax^2 + bx + c, where a, b, and c are constants and x is a variable. A polynomial is considered prime if it cannot be factored into the product of two or more polynomials with integer coefficients.It is not possible to determine whether any of the given polynomials are prime without further information, such as the values of the constants a, b, and c. For example, the polynomial x^2 + 7 could be prime, but it could also be factored into the product of two linear polynomials (x + 3)(x + 3), which would make it composite. Similarly, the polynomial x^2 - 25 could be prime, but it could also be factored into the product of two polynomials of the form (x + 5)(x - 5), which would make it composite. Without more information, it is not possible to determine whether any of the given polynomials are prime.
A sporting goods manager was selling a ski set for a certain price. The manager offered the markdowns shown, making the one-day sale price of the ski set $327. Find the original selling price of the ski set.
Answers
The original selling price of the ski is $385.
How to calculate the price?From the information, the sporting goods manager was selling a ski set for a certain price. The manager offered the markdowns as 15% making the one-day sale price of the ski set $327.
Let the original selling price of the ski be x.
This will be:
x - (15% × x) = 327
0.85x = 327
Divide
x = 327 / 0.85
x = 385
The original price is $385.
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Complete question
A sporting goods manager was selling a ski set for a certain price. The manager offered the markdowns as 15% making the one-day sale price of the ski set $327. Find the original selling price of the ski set.
1. Simplify the following expressions:
10
a. 2¹⁰.2
-4
Answers
Answer:1020.2
Step-by-step explanation:
11. Engineering The maximum load for a certain elevator is 2000 pounds. The total
weight of the passengers on the elevator is 1400 pounds. A delivery man who weighs
243 pounds enters the elevator with a crate of weight w. Write, solve, and graph an
inequality to show the values of w that will not exceed the weight limit of the elevator.
Answers
The inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.
What is inequality?In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.An inequality is a mathematical relationship between two expressions and is represented using one of the following -≤ : less than or equal to
≥ : greater than or equal to
< : less than
> : greater than
≠ : not equal to
Given is the maximum load for a certain elevator is 2000 pounds. The total weight of the passengers on the elevator is 1400 pounds. A delivery man who weighs 243 pounds enters the elevator with a crate of weight [w].
We can write the inequality as follows -1400 + 243 + w ≤ 2000
w + 1643 ≤ 2000
Solving the inequality, we get -w + 1643 ≤ 2000
w ≤ 2000 - 1643
w ≤ 357
Refer to the graph attached.Therefore, the inequality to show the values of [w] that will not exceed the weight limit of the elevator is w + 1643 ≤ 2000. On solving the inequality, we get w ≤ 357. The graph of the inequality is attached.
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1. 5x - 8 < 17
It needs to be graphed on a number line.
Answers
Answer: x < 5
What does this mean?
This simply means that any point that is five or below is going to be outlined.
How do I do it?
It's as simple as drawing a point at value 5, and everything below is going to contain a line.
Representation
-----------------------------------------------o
find the slope of the line that passes Through the points (2.5, 1) and (1,-3.5)
Answers
Answer:
3
Step-by-step explanation:
slope m = (y - y1)/(x - x1)
m = (-3.5 - 1)/(1 - 2.5) = (-4.5)/(-1.5) = 3
Given the Trapezoid, BATS, where B (-4, 2), A (-2, 6), T (6, 6), S (8, 2). Graph and find the approximate area of BATS.
Answers
The graph of the trapezoid is shown below. The area is calculated as: D. 40 square units.
How to Find the Area of a Trapezoid?To find the area of a trapezoid, the formula used is given below:
Area of a trapezoid = 1/2 * (a + b) * h, where,
a = length of one of the basesb = length of one baseh = height of the trapezoid.The trapezoid BATS with the following vertices, B (-4, 2), A (-2, 6), T (6, 6), S (8, 2), ahs been plotted in the graph shown in the image attached below.
1 unit = 1 box, therefore, we have the following:
a = length of AT = 8 units.
b = length of BS = 12 units
h = 4 units
Plug in the values:
Area of trapezoid BATS = 1/2 * (8 + 12) * 4
Area of trapezoid BATS = 1/2 * (20) * 4
= 10 * 4
Area of trapezoid BATS = 40 square units.
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A study shows that 70% of the population of a city have brown eyes and 30% do not. The study also shows that 10% of the people who do not have brown eyes do
not have brown hair, while 80% of the people who have brown eyes have brown hair. A relative frequency table was constructed for this data. What is the largest
marginal relative frequency and its interpretation?
A. 0.56; Individuals with brown eyes
B. 0.70; Individuals with brown eyes
C. 0.80; Individuals with brown hair
D. 0.83; Individuals with brown hair
Answers
A study shows that 70% of the population of a city have brown eyes and 30% do not. The study also shows that 10% of the people who do not have brown eyes do not have brown hair, while 80% of the people who have brown eyes have brown hair. 0.80; Individuals with brown hair. Option C
What is the marginal relative frequency?Generally, The largest marginal relative frequency is 0.80, which corresponds to individuals with brown hair. This means that out of all the individuals in the city, 80% of them have brown hair.
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for what values of x and y are the triangles congruent by HL?
Answers
For the given congruent triangles, the values of x = -1 and y = 3.
What do you mean by congruence of triangle?Two triangles are congruent if all three corresponding sides are equal and all three corresponding angles are equal. These triangles can be moved, rotated, flipped, and flipped to look identical. When rearranged they match each other.
The congruence symbol is "≅".As both the triangles are congruent therefore their corresponding sides will be equal.
3y + x = y + 5 ...........(1)
y - x = x + 5 ..............(2)
Equation
1:3y + x = y + 5
3y - y = 5 - x
2y = 5 - x
x = 5 - 2y ..............(3)
Substitute this value of x in equation (2)
y - x = x + 5 y = x + x + 5y
= 2x + 5 y = 2(5 - 2y) + 5y
= 10 - 4y + 54y + y = 15
5y = 15 y = 15/ 5
y = 3
Substitute this value of y in equation (3) x = 5 - 2(3) = 5 - 6 = -1
Therefore, x = -1 and y = 3
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suppose a juice box contains 30% juice with the remaining portion of the drink composed of water. what is the solute in this type of juice box?
Answers
Suppose a juice box contains 30% juice with the remaining portion of the drink composed of water alcohol is the solute in this type of juice box.
Ethanol; Ethanol, a drab liquid with a pleasing scent this is produced evidently from fermentation through yeasts and different microorganisms. It is utilized in alcoholic beverages, as a solvent, and withinside the manufacture of different chemicals. Ethanol is a fairly poisonous and colorless compound.
Alcohol is the solute in this type of juice box is the solvent as alcohol is easily soluble as the solvent and has best property of a solute and csn pass through the semipermeable permeability and others solvent also. The alcohol is actually acting as the solute here to dissolve the solvent.
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If Santa Claus ate two cookies from every child on Earth, how many cookies would he eat over one Christmas Eve?
Answers
Answer:
three billion eight hundred million
Step-by-step explanation:
Simplify 4x - 7 + 12x - 3.
Answers
Answer:2(8x-5)
Hope this helps!
Justin is going to invest $90,000 and leave it in an account for 19 years. Assuming
the interest is compounded quarterly, what interest rate, to the nearest hundredth of
a percent, would be required in order for Justin to end up with $216,000?
Answers
Answer:
4.63%
Step-by-step explanation:
You want the interest rate that, compounded quarterly, will result in a balance of $216,000 for an investment of $90,000 after 19 years.
Compound interestThe formula for the balance of an account earning compound interest is ...
A = P(1 +r/n)^(nt)
where P is the principal invested, r is the annual interest rate, n is the number of times per year interest is compounded, and t is the number of years.
ApplicationFilling in the given values, we can solve for r:
216000 = 90000(1 +r/4)^(4·19)
2.4 = (1 + r/4)^76 . . . . . divide by 90,000
2.4^(1/76) = 1 +r/4 . . . . . . take the 76th root
(2.4^(1/76) -1) = r/4 . . . . . . subtract 1
r = 4(2.4^(1/76) -1) ≈ 0.0463437 ≈ 4.63%
The required interest rate is about 4.63%.
Find the y intercept y = – 17 x + 12.
Answers
Answer: 12
Step-by-step explanation:
The y-intercept in the equation that is in slope-intercept form is the constant.
What is the radius of the circumscribed circle of ABC?
Answers
Answer:
Given: △ABC, m∠A=120°, AB=AC=1 Find: The radius of circumscribed circle
Step-by-step explanation:
:]
Two angles are complementary. The measure of the larger angle is 26 degrees less than 3 times the measure of the smaller angle. The measure of the smaller angle is ________ degrees, and the larger angle is ________ degrees.
Answers
Answer:
29, 61
Step-by-step explanation:
x = smaller
y = larger
y = 3x - 26
x + y = 90
x + 3x - 26 = 90
4x - 26 = 90
4x = 116
x = 29
x + y = 90
29 + y = 90
y = 90 - 29
y = 61
Answer:
smaller angle = 29°
larger angle = 61°
Step-by-step explanation:
Let x be the larger angle and y be the smaller angle
Larger angle is 26° less than 3 times the smaller angle
i. e x = 3y-26°
Since x and y are complementary angles, we can write,
x + y = 90°
or, (3y - 26°) + y = 90°
or, 4y = 90° + 26°
or, y = 116°/4
or, y = 29°
So,
x = 3 * 29° - 26° = 61°
One of the tallest ferris wheels in the world is in las vegas. It has a diameter, , of 520 feet. The circumference of the ferris wheel represents the distance traveled by a passenger after one full rotation. The circumference can be determined using the expression. What is the distance traveled, in feet, by passengers on each rotation of the ferris wheel? record your answer to the nearest tenth of a foot.
Answers
Answer:
Below
Step-by-step explanation:
Circumference of a circle = pi * diameter
circumference of ferris wheel = 3.14159 * 520=1633.6 ft
What is the value of y in the equation?
6y + 2 = 4p - 10
Answers
6y=4p-10-2
Calculate difference
6y=4p-12
Divide
Solution
Y=2/3 p -2
a study is conducted to see if a daily exercise intervention affects blood pressure among people with pre-hypertension. one hundred participants are recruited to participate, and half are randomly assigned to participate in the intervention while the others serve as a control group. what study design is being used?
Answers
A study is conducted to see if a daily exercise intervention affects blood pressure among people with pre-hypertension. The study design being used is a randomized controlled trial (RCT).
What is a randomized controlled trial?Generally, In an RCT, the study participants are randomly assigned to either the intervention group or the control group. This helps to ensure that any differences between the two groups are not due to preexisting differences between them, but rather are due to the intervention being tested.
In this case, the intervention is a daily exercise intervention, and the outcome being measured is blood pressure among people with pre-hypertension.
The control group serves as a comparison group, and any changes in blood pressure observed in the intervention group can be attributed to the intervention rather than other factors.
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Calculate the area of a cylinder with a diameter of 14 and a height of 20.
Answers
Answer:
The answer is 2990.8
Step-by-step explanation:
Answer:
volume = 980π = 3078.790801
Step-by-step explanation:
14 ÷ 2 = 7 = radius
π x [tex]r^{2}[/tex]= = 49π = area
area x 20 = volume
volume = 980π = 3078.790801
When Lisa increased her speed in letter c,
the increase took two seconds. What was her acceleration?
Answers
Lisa's change in speed is 4 miles per hour.Lisa's acceleration is 2 miles per hour.
What was her acceleration?According to the question,
The speed of Lisa is = 3 miles per hour
A dog starts to chase her, and she speeds up to seven miles per hour.
The change in speed after dog chase her is,
= 7 miles per hour - 3 miles per hour
= 4 miles per hour
Lisa's change in speed is 4 miles per hour.
When Lisa increased her speed in letter c, the increase took two seconds.
Then,
The Lisa acceleration is,
Acceleration = Change in speed/Change in time
Acceleration = 4/2
Acceleration = 2 per mail.
Hence, Lisa's acceleration is 2 miles per hour.
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Can you help me please???
Which expressions are equivalent to (3w - 4x)4? Select TWO correct responses.
A. 4(-1wx)
B. 12 w -16 x
C. 7w -8x
D. -16 x +12w
Pick 2
Answers
Which equation, when paired with y = 2x 5, creates an inconsistent system? 2x y = 5 y = 2x 5 2x – 4y = 10 2y – 4x = –10
Answers
The equation that creases an inconsistent system when paired with y = 2x + 5 is given as follows:
2y - 4x = -10.
What is an inconsistent system?A system of equations is called inconsistent when the number of equations of the system is of zero.
The system in this problem is composed by linear equations, which have the following format:
y = mx + b.
In which:
m is the slope.b is the y-intercept.For inconsistent system, we have that the equations:
Have the same slope.Have different intercepts.The function in this problem is given as follows:
y = 2x + 5.
Hence the inconsistent system is formed with:
2y - 4x = -10.
Which is simplified by 2 as follows:
y - 2x = -5.
y = 2x - 5.
Having the same slope of 2, but a different intercept.
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Answer: 2y – 4x = –10
Step-by-step explanation: trust.
Kim and her friends watched the server making smoothies. The table shows the number of mango's that were used for each of the different sizes of smoothies that the friends ordered.
Mango Used Smoothie Size
Kim 1 8 oz
Bri 3 24 oz
Angela 4 32 oz
Which statement is correct based on the data?
Answers
The statement that is correct based on the data is that the table shows a proportional relationship
How to determine the true statementFrom the question, we have the following parameters that can be used in our computation:
Mango Used Smoothie Size
Kim 1 8 oz
Bri 3 24 oz
Angela 4 32 oz
Express properly
So, we have
Mango Used Smoothie Size
Kim 1 8 oz
Bri 3 24 oz
Angela 4 32 oz
Start by checking if the table has a constant rate
This is represented as
Constant rate = Smoothie Size/Mango Used
So, we have
Constant rate = 8/1 = 8
Constant rate = 24/3 = 8
Constant rate = 32/4 = 8
See that the constant rate is the same for all values
Hence, the table shows a proportional relationship
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Explain how to solve 2^(x + 1) = 9 using the change of base formula log base b of y equals log y over log b. Include the solution for x in your answer. Round your answer to the nearest thousandth
Answers
The solution of the given expression is equal to 2.17.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the expression is [tex]2^{x+1} = 9[/tex]. The expression will be solved by using the logarithmic property below,
[tex]2^{x+1}=9[/tex]
Take logs on both sides,
(x+1) ln(2) = ln(9)
(x+1) = ln(9) / ln(2)
x + 1 = 3.17
x = 2.17
Hence, the expression will be solved by taking log on both sides.
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