We can condense and find n's solution: 3n + 24 = 2n - 4
Since n = -14, the unknowable number is also -14.
What is an algebraic expression?A mathematical expression called an algebraic expression includes variables, integers, and mathematical operations including addition, subtraction, multiplication, and division. Algebraic expressions can be straightforward, like "2x," or they can be more complicated, like
[tex]3x^2+4y-5[/tex].
Variables are used to represent unknown quantities and have a range of possible values. In problems requiring unknown values or to represent connections between quantities, algebraic expressions are widely used.
A mathematical expression that includes variables, constants, and operations involving algebra (addition, subtraction, etc.) is known as an algebraic expression. Terms comprise expressions.
To know more about variables, visit:
brainly.com/question/17344045
#SPJ1
find the reduced racial form of each expression:
1: 3^√4/9m^2 ?
2:√63-√700–√112 ?
3: (a^2b^8/a^1/3)^3/4 ?
4: ^4√1024x^9y^12 ?
5:4^3√81 - 2^3√72 - ^3√24 ?
6: ^5√2pq^6 • 2 √2p^3q ?
HELP PLEASE ILL DO ANYTHING. (show explanation pls)
The reduced radical forms of the expressions provided are as follows:
1. 3^(4/9m)
2. -11√7
3. a^(1/2) * b^6
4. 2x^(9/4) * y^3
5. 16 - ^3√24
6. 4p^(9/10)q^(7/10)
What is a reduced radical form?A reduced radical form is a way of simplifying expressions that contain radicals such as square roots and cube roots, as much as possible. In a reduced radical form, the radical is simplified to its lowest possible terms.
To obtain the reduced radical forms of the expresions, we can proceed with the workings:
1. 3^(√4/9m^2) = 3^(2/3 * 1/3√4m^2) (since √4 = 2)
= (3^(2/3))^(1/3√4m^2)
= (3^(2/3))^(2/3m)
= 3^(4/9m)
2. √63 = √(9 * 7) = 3√7
√700 = √(100 * 7) = 10√7
√112 = √(16 * 7) = 4√7
√63 - √700 - √112 = 3√7 - 10√7 - 4√7
= -11√7
3. (a^2b^8/a^1/3)^3/4 = (a^2/1/3√a)^3/4 * b^8^3/4
= (a^(2/3))^3/4 * b^6
= a^(1/2) * b^6
4. ^4√1024x^9y^12 = (^4√1024) * (^4√x^9) * (^4√y^12)
= 2 * x^(9/4) * y^(12/4)
= 2x^(9/4) * y^3
5. 4^3√81 = 4^3 * 3 = 64
2^3√72 = 2^3 * 2√9 = 16√9 = 48
^3√24 can't be simplified any further
4^3√81 - 2^3√72 - ^3√24
= 64 - 48 - ^3√24 or 16 - ^3√24.
6. ^5√2pq^6 • 2 √2p^3q
= 2p^(3/5)q^(6/5) * 2p^(3/2)q^(1/2)
= 4p^(9/10)q^(7/10)
So, the results are the simplified or reduced forms of the expressions.
Learn more about radical forms of expressions here:
https://brainly.com/question/29486197
#SPJ1
A triangular prism is 21 centimeters long and has a triangular face with a base of 16 centimeters and a height of 15 centimeters. The other two sides of the triangle are each 17 centimeters. What is the surface area of the triangular prism?
The surface area equation for a triangular prism is SA = bh + pl
b = base length [16 cm]h = height [15 cm]p= perimeter l = length [21 cm]You have been given most of your information, but you need to find the perimeter. The problem has given you the lengths needed to find the perimeter, so add the lengths together to get the perimeter!
P = a + b + c
P = 21 + 17 17
P = 55
Now you have all your information. Plug into the Surface area equation to find the surface area of the triangular prism:
SA= bh + pl
SA = (16)(15) + (55)(21)
SA= 240 + 1155
SA= 1395 cm ²
*connected parenthesis indicated multiplication*
The surface are of this triangular prism is 1395 square centimeters
Which is the closest to the area of the shaded region in the given square containing a circle? (Use ≈ 3.14.)
10 m
21.5 square meters
50 square meters
O 78.5 square meters
O 100 square meters
5m
The area of the shaded region in the specified figure of the square containing a circle is 21.5 m², which is the first option
21.5 square metersWhat is a square?A square is a quadrilateral with all sides of the same length and four interior angles which are right angles.
The figure is a composite figure comprising of a square and a circle
The radius of the circle, r = 5 meters
The side length of the square = 10 meters
The value of π = 3.14
The area of the square = 10 m × 10 m = 100 m²
The area of the circle = π × (5 m)² = 25·π m²
The area of the shaded region is the difference between the area of the square and the area of the circle, therefore;
The area of the shaded region = (100 - 25·π) m²
The area of the shaded region is therefore; (100 - 25 × 3.14) m² = 21.5 m²
The area of the shaded region is 21.5 square metersLearn more on composite figures here: https://brainly.com/question/355912
#SPJ1
In a 30°-60°-90° triangle, what is the length of the hypotenuse when the shorter leg is 5 cm?
if f(x)=7x-5, determine f^-1(18)
To find the inverse of the function f(x) = 7x - 5, we need to solve for x in terms of y (or f^(-1)(x)). First, let's replace f(x) with y:
y = 7x - 5Now, we need to solve for x:
1. Add 5 to both sides:
y + 5 = 7x2. Divide both sides by 7:
(x = (y + 5) / 7)Now we have the inverse function, f^(-1)(x) = (x + 5) / 7. We can use this to find f^(-1)(18):
f^(-1)(18) = (18 + 5) / 7f^(-1)(18) = 23 / 7So, f^(-1)(18) = 23/7.Sergey is solving 5x2 + 20x – 7 = 0. Which steps could he use to solve the quadratic equation by completing the square? .
An actuarial study finds that in a sample of 2000 18-year-old drivers, 124 are involved in an accident.
cost of such an accident to the insurance company is $15 000. If the company wants to make a 20% profit on policies, what should they charge 18-year-old drivers?
Answer: Let's start by calculating the probability that an 18-year-old driver is involved in an accident:
P(accident) = 124/2000 = 0.062
Let's assume that the insurance company pays the full cost of the accident, which is $15,000. Then the expected cost of covering one 18-year-old driver is:
Expected cost = P(accident) x Cost of accident = 0.062 x $15,000 = $930
If the insurance company wants to make a 20% profit on policies, they need to charge a premium that covers their expected cost plus their desired profit. The premium, denoted by P, can be calculated as follows:
P = (Expected cost + Desired profit) / (1 - Profit margin)
where Profit margin is the percentage of the premium that represents the profit. In this case, Profit margin is 20%, or 0.20.
Substituting the values we have calculated, we get:
P = ($930 + 0.20 x $930) / (1 - 0.20)
= $1,236.00
Therefore, the insurance company should charge 18-year-old drivers a premium of $1,236.00 to make a 20% profit on policies.
Step-by-step explanation:
Mr. Howard's phone has
4 rows of buttons. There are
3 buttons in each row. How
many buttons are on
Mr. Howard's phone?
buttons
Answer:
12
Step-by-step explanation:
since there are 4 rows, and in each row, there are 3 buttons, then you would end up with
4 (rows) x 3 (buttons per row)
this gives you 12 buttons on the phone.
Answer:
Step-by-step explanation:
Each row has 3 buttons.
There are 4 rows in total 3x4= 12buttons
Consider the line shown on the graph.
The equation of the given line in the graph in slope intercept form is: y = 2x + 7
How to find the equation of a line?The general formula for the equation of a line in slope intercept form is:
y = mx + b
where:
m is slope
b is y-intercept
From the given graph, the y-intercept is b = 7
Let us pick two coordinates which are:
(-3.5, 0) and (0, 7)
Thus:
(y - 0)/(x + 3.5) = (7 - 0)/(0 + 3.5)
y = 2(x + 3.5)
y = 2x + 7
Read more about Equation of Line at: https://brainly.com/question/18831322
#SPJ1
A bag of M&M's has 6 red, 3 green, 8 blue, and 5 yellow M&M's. What is the probability of randomly picking: (give answer as a reduced fraction) 1) a yellow? 2) a blue or green? 3) an orange?
The probability of randomly picking a yellow M&M is 5/22.
There are no orange M&M's in the bag, so the probability of randomly picking an orange M&M is 0.
What is the probability of randomly picking 1) a yellow? 2) a blue or green? 3) an orange?There are 22 M&M's in the bag in total. We can use this information to answer the following:
The probability of randomly picking a yellow M&M is 5/22.
The of randomly picking a blue or green M&M is the sum of the probabilities of picking a blue M&M and a green M&M, since these events are mutually exclusive(i.e., they cannot occur at the same time). The probability of picking a blue M&M is 8/22, and the probability of picking a green M&M is 3/22. Therefore, the probability of picking a blue or green M&M is (8/22) + (3/22) = 11/22.
There are no orange M&M's in the bag, so the probability of randomly picking an orange M&M is 0.
to know more about probability
brainly.com/question/30034780
#SPJ1
A man bought two pencils and three biros at a cost of 50, Again he bought three pencils and four biros for 70. find the cost of a pencil and a biro
A wall is 2000 sq ft. A gallon of paint covers 400 sq ft. Complete the conversion factor: 1 gallon / ? sq ft
To cover a 2000 sq ft wall, we will need 5 gallons of paint.
what is area?
Area is the measure of the size of a two-dimensional surface or region, expressed in square units. It is a fundamental concept in geometry and is used to quantify the amount of space inside a shape, such as a square, rectangle, triangle, or circle. The unit of measurement for area varies depending on the system used, but in the International System of Units (SI), the standard unit of area is the square meter (m²). In everyday life, we often use other units of area such as square feet, square inches, or square centimeters.
To find the conversion factor, we need to divide the number of square feet by the number of square feet covered by one gallon of paint:
Conversion factor = 1 gallon / (400 sq ft/gallon)
So, for a wall that is 2000 sq ft, we can use this conversion factor to find the number of gallons of paint needed:
Number of gallons = (2000 sq ft) / (400 sq ft/gallon) = 5 gallons
Therefore, to cover a 2000 sq ft wall, we will need 5 gallons of paint.
To learn more about conversion factors from the given link
https://brainly.com/question/30166433
#SPJ1
content loaded
A department store manager has monitored the number of complaints received per week about poor service. The probabilities for numbers of complaints in a week, established by this review, are shown in the table. Answer Number of complaints 012 3 4 5 Probability 0.13 0.21 0.44 0.070. 0.06 0.09Save your answer What is the variance of complaints received per week? Please round your answer to the nearest hundredth Note that the correct answer will be evaluated based on the full-precision result you would obtain using Excel.
200 word answer
To calculate the variance of complaints received per week, we first need to find the mean or expected value of the number of complaints. This can be calculated by multiplying the number of complaints in each category by its corresponding probability, and then adding up the results.
Expected value = (0 x 0.13) + (1 x 0.21) + (2 x 0.44) + (3 x 0.07) + (4 x 0.06) + (5 x 0.09) = 2.54
Next, we can use the following formula to calculate the variance:
Variance = Σ[(x - µ)²P(x)]
where Σ = sum, x = number of complaints, µ = expected value, and P(x) = probability.
Using this formula and the probabilities given in the table, we get:
Variance = (0 - 2.54)²(0.13) + (1 - 2.54)²(0.21) + (2 - 2.54)²(0.44) + (3 - 2.54)²(0.07) + (4 - 2.54)²(0.06) + (5 - 2.54)²(0.09) = 1.4856
Rounding this answer to the nearest hundredth, we get a variance of 1.49.
In conclusion, the variance of complaints received per week is 1.49, meaning that the number of complaints is quite spread out around the mean, which is 2.54. This could indicate that the department store has some variability in its service quality, as the number of complaints can vary widely from week to week.
Use the graph to answer the question.
graph of polygon ABCD with vertices at 1 comma 5, 3 comma 1, 7 comma 1, 5 comma 5 and a second polygon A prime B prime C prime D prime with vertices at 8 comma 5, 10 comma 1, 14 comma 1, 12 comma 5
Determine the translation used to create the image.
7 units to the right
7 units to the left
3 units to the right
3 units to the left
The translation used to create the image is 3 units to the right, as each point of the original polygon was moved 3 units to the right to obtain the corresponding point of the image polygon.
What is Polygon?
Geometry defines a polygon as a closed shape composed of continuous line segments, or sides, that do not intersect.
What is Translation?Translation is a transformation in geometry that moves an object without changing its shape, size, or orientation. It involves sliding an object along a straight line in a certain direction and distance.
According to given information:
To determine the translation used to create the image, we can observe the original and transformed polygons and look for changes in their positions. The vertices of the original polygon ABCD are (1,5), (3,1), (7,1), and (5,5), while the transformed polygon A'B'C'D' has vertices (8,5), (10,1), (14,1), and (12,5).
Comparing the vertices of the two polygons, we notice that all of the points have been shifted 7 units to the right to obtain the transformed image. This means that every x-coordinate of the original polygon has been increased by 7, which can be written as a translation vector (7, 0).
Therefore, the translation used to create the image is 7 units to the right.
To know more about the polygon and translation visit:
https://brainly.com/question/28393968
#SPJ1
Two trees are planted next to each other. One tree is 3 meters tall and casts a 15-meter shadow. Determine the height of the other tree if it casts an 18-meter shadow.
1.2 m
3.6 m
4.5 m
5.1 m
Answer:
3.6 m
Step-by-step explanation:
[tex] \frac{3}{15} = \frac{h}{18} [/tex]
[tex]15h = 54[/tex]
[tex]h = \frac{18}{5} = 3.6[/tex]
Answer:
3.6 meters.
Step-by-step explanation:
We can use the concept of similar triangles to solve this problem. The ratio of the height of the first tree to its shadow length is the same as the ratio of the height of the second tree to its shadow length.
Let h1 be the height of the first tree, s1 be its shadow length, h2 be the height of the second tree, and s2 be its shadow length.
For the first tree: h1/s1 = 3/15
For the second tree: h2/18 = 3/15
Solving for h2:
h2 = (18 * 3) / 15 = 3.6 meters
Therefore, the height of the second tree is 3.6 meters.
A car corporation produce 1420 more cars this month then last. Write a signed number to represent this month’s change in production
The car corporation produced 1420 more cars this month than last, so the signed number to represent this month's change in production would be +1420.
What is number system?The signed number system is a way of representing positive and negative numbers. It includes a sign (+ or -) and a numerical value. In the case of the car corporation's change in production, the sign is positive (+) because the production increased, and the numerical value is 1420.
Learn more about numbers here:
https://brainly.com/question/17429689
#SPJ1
Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options.
The radius of the circle is 3 units.
The center of the circle lies on the x-axis.
The center of the circle lies on the y-axis.
The standard form of the equation is (x – 1)² + y² = 3.
The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
The x-axis is where the circle centre is located. Three units make up the circle's radius. This circle's radius coincides with the radius of the circle whose equation is x² + y² = 9.
What is the circle's equation when its centre is on the x-axis?The y coordinate of a circle's centre will be 0 if the circle's centre is on the x-axis. The circle's equation will therefore have the generic form x2 + y2 + 2gx + c = 0, where g and c are constants.
Circle's standard equation is written as:
x²+y²+2gx+2fy+C=0
Centre is (-g, -f)
radius = √g²+f²-C
Given a circle whose equation is : x²+y²-2x-8=0
Get the centre of the circle
2gx = -2x
2g = -2
g = -1
Similarly, 2fy = 0
f = 0
Centre = (-(-1), 0) = (1, 0)
This demonstrates circle's centre is on the x-axis.
r = radius = √g²+f²-C
radius = √1²+0²-(-8)
radius =√9 = 3 units
The circle has a radius of three units.
For the circle x²+y²=9, radius is expressed as:
r² = 9
r = 3 units
As a result, this circle's radius matches that of the circle whose equation is x² + y² = 9.
To know more about Circle visit:-
https://brainly.com/question/17028215
#SPJ1
Find the inradius of triangle ABC.
Find the circumradius of triangle ABC.
The sides of the triangle are 5, 29, and 42.
I need help in like 5 minutes please
Answer: 3/2 or 1 1/2 or 1.5
Step-by-step explanation:
9/8 times 2 is 2.25 or 9/4
9/4-6/8= 3/2 or 1 1/2 or 1.5
Fiona deposits $2,000 and 200 savings account if the FED requires a 20% Reserve ratio how much of Fiona's money can the bank lend So whats the answer
Therefore, the bank can lend out $1,600 of Fiona's money.
What is percent?Percent, denoted by the symbol "%", is a way of representing a fraction or proportion out of 100. It is used to express a part of a whole in terms of hundredths. For example, 50% is the same as 50 out of 100, which simplifies to 1/2 or 0.5 as a decimal. Percentages are commonly used in many areas such as finance, statistics, and everyday life to express changes, rates, or comparisons.
Here,
If Fiona deposits $2,000 and the bank has a reserve ratio of 20%, then the bank can lend out 80% of her deposit.
Reserve = 20% x $2,000
= $400
Amount available for lending = $2,000 - $400
= $1,600
To know more about percent,
https://brainly.com/question/29172752
#SPJ1
Consider 8 = − 2/3x. 1 Which is the BEST first step to take when solving the given equation?
8 Use the results of problem 5 and problem 6. Find the
sum of all the probabilities for Leon's experiment and
for Celia's experiment. Compare the sums and explain
the result.
Show your work.
Sum of all probabilities for Leon's experiment and for Celia's experiment are 1.
What is a probability?The study of random events and their likelihood of occurring is the focus of the probability field, which is a subfield of statistics. It is used to predict and estimate the likelihood of future events.
Based on the problems 4, 5 and 6 as discuss in figure, we have to find out the sum of all the probabilities for Leon's experiment and for Celia's experiment.
The Results of problem 5 and problem 6 are shown in below figure.
So, The sum of all the probabilities for Leon's experiment and for Celia's experiment are;
Leon: [tex]\frac{2}{20} + \frac{3}{20} + \frac{5}{20} +\frac{4}{20} +\frac{6}{20} = \frac{20}{20} =1[/tex]
Celia: [tex]\frac{4}{24} + \frac{3}{24} + \frac{7}{24} +\frac{6}{24} +\frac{4}{24} = \frac{24}{24} =1[/tex]
Solution: Sum of all probabilities for Leon's experiment and for Celia's experiment are 1.
Possible explanation: It is certain that 1 of the 5 possible outcomes will result. The probability of any of the outcomes occurring is 1.
To know more about probability, visit:
https://brainly.com/question/13604758
#SPJ1
Full question -
I need help solving this thank you
The negation is the fourth option.
6 + 3 ≠ 9 or 6 - 3 ≠ 9
How to write the negation?The negation of an equation is an inequality such that we just change the equal sign, by the "≠" sign.
Here we start with the two equations.
6 + 3 = 9 or 6 - 3 = 9
Just change the equal signs for different signs:
6 + 3 ≠ 9 or 6 - 3 ≠ 9
That is the negation, fourth option.
Learn more about inequalities at:
https://brainly.com/question/24372553
#SPJ1
Someone please help me with these Natural Logarithms questions!!!!!
I give lots of points who ever answers with an explanation of why that is the answer
The solution to the equations using natural logarithm as shown below.
How to use natural logarithm to solve equations?
To solve an equation of this nature, you need to know that the reverse of natural logarithm (ln) is exponential (e). Let apply this idea.
PART 1
Using natural logarithm to solve equations:
2eˣ = 4
eˣ = 4/2
eˣ = 2 (take "ln" of both sides to get rid of "e")
x = ln 2
x = 0.693
eˣ = 72
x = ln 72
x = 4.277
e⁴ˣ = 25
4x = ln 25
x = (ln 25)/4
x = 0.805
e³ˣ = 124
3x = ln 124
x = (ln 124)/3
x = 1.607
PART 2
ln(x -3) = 2 (take "e" of both sides to get rid of "ln")
x - 3 = e²
x = e² + 3
x = 7.389 + 3
x = 10.389
ln 2t = 4
2t = e⁴
t = e⁴/2
t = 27.299
Learn more about equations on:
brainly.com/question/22688504
#SPJ1
A random sample of people were surveyed on their favorite sport, as shown in the table below sorted by the respondents age.
What percent of the people between the ages of 21 and 34 prefer football? Round your answer to the nearest whole number percent.
The percentage of people between the ages of 21 and 34 who prefer football are: 25%
What is a random sample?A random sample is a subset of a larger population that is chosen so that every person or thing has an equal chance of being chosen.
To find the percentage, we need to find the number of people between 21 and 34 who prefer football and divide by the total number of people in that age range:
Number of people between 21 and 34 who prefer football: 9
Total number of people between 21 and 34 are: 36
So the percentage of people between the ages of 21 and 34 who prefer football are:
⇒ (9 / 36) x 100%
⇒ 25%
Rounding to the nearest whole number, the answer is 25%
To know more about random sample, visit:
https://brainly.com/question/13219833
#SPJ1
Complete figure-
Find the value of x from the given figure.
The value of x from the given figure is given as follows:
144º.
What is a straight angle?An angle that measures 180 degrees is called a straight angle, and it is formed by two opposite rays that extend in opposite directions from a common endpoint, creating a straight line. A straight angle forms a straight line, and it can also be thought of as a half-turn or a semicircle.
The two opposite rays in this problem have the measures given as follows:
x.x/4.Hence the equation to find the value of x is given as follows:
x + x/4 = 180
x + 0.25x = 180
1.25x = 180
x = 180/1.25
x = 144º.
More can be learned about straight angles at https://brainly.com/question/24024505
#SPJ1
Spencer is working with his finande advisor to create some personal financial goals for the next year. One of his goals is to reduce the amount of debt
he has. Which statement could
his goal specific and timely?
He should focus intust his student loan debt and give himself a deadline of five years.
B. He should ask
end to be his accountability partner and remind him of his goal every two weeks.
le should review.
current finances to determine how much he can allocate to his goal.
He should pay
the minimum payment on his credit card statement each month.
Answer: A. He should focus on his student loan debt and give himself a deadline of five years. This statement specifies a particular type of debt and sets a time-bound goal, making it both specific and timely.
Step-by-step explanation:
Translate in two ways each of these statements into logical expressions using predcates quantifiers and logical connective first let the domain consist of the students in your class and second let it consist of all people a) everyone in your class has a cellular phone
For all x, P(x) (using universal quantifier ∀) and It is not the case that there exists an x such that ~P(x) (using negation ¬ and existential quantifier ∃)
What is probability?
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.
Let S be the set of students in your class and P(x) be the predicate "x has a cellular phone". Then, we can represent the statement "everyone in your class has a cellular phone" as:
1. For all x in S, P(x) (using universal quantifier ∀)
2. It is not the case that there exists an x in S such that ~P(x) (using negation ¬ and existential quantifier ∃)
If we want to represent the same statement for all people, we can use the same predicate P(x) and consider the domain of all people. Then, the statement "everyone has a cellular phone" can be represented as:
For all x, P(x) (using universal quantifier ∀)
It is not the case that there exists an x such that ~P(x) (using negation ¬ and existential quantifier ∃)Let S be the set of students in your class and P(x) be the predicate "x has a cellular phone". Then, we can represent the statement "everyone in your class has a cellular phone" as:
For all x in S, P(x) (using universal quantifier ∀)
It is not the case that there exists an x in S such that ~P(x) (using negation ¬ and existential quantifier ∃)
If we want to represent the same statement for all people, we can use the same predicate P(x) and consider the domain of all people. Then, the statement "everyone has a cellular phone" can be represented as:
1. For all x, P(x) (using universal quantifier ∀)
2. It is not the case that there exists an x such that ~P(x) (using negation ¬ and existential quantifier ∃)
To learn more about probability from the given link:
https://brainly.com/question/30034780
#SPJ1
5. Which expression is 16 times as large as 18,233 — 4,006? (18,233 - 4,006) + 16 (18,233 — 4,006) × 16 (18,233 - 4,006) ÷ 16 (18,233 x 16) – 4,006 A (B) (D)
The expression is 16 times as large as 18,233 — 4,006 (B) 16(18,233 - 4,006).
Expression calculation.
The expression (18,233 - 4,006) + 16 represents the sum of the difference between 18,233 and 4,006 (which is 14,227) and 16 times that difference.
To break it down further:
First, we calculate the difference between 18,233 and 4,006, which is 14,227.
Then, we multiply 14,227 by 16 to get 227,632.
Finally, we add the original difference of 14,227 to the product of 16 and the difference to get the final answer, which is 241,859.
Learn more about expression below.
https://brainly.com/question/29079294
#SPJ1
2.Each curve is a transformation of the graph of the parent function y = √x.
Write an equation for each curve.
A.
B.
C.
D.
Since each curve is a transformation of the graph of the parent function y = √x, an equation for each curve are as follows;
A. y = √(-x + 2)
B. y = -√(x - 1) + 3
C. y = √(x - 3)
D. y = √x - 2
E. y = -√(x + 2)
What is a translation?In Mathematics and Geometry, the translation of a graph to the left simply means subtracting a digit from the value on the x-coordinate of the pre-image while the translation of a graph downward simply means subtracting a digit from the value on the y-coordinate (y-axis) of the pre-image.
In Mathematics and Geometry, a horizontal translation to the left is modeled by this mathematical equation g(x) = f(x + N) while a vertical translation to the positive y-direction (downward) is modeled by this mathematical equation g(x) = f(x) - N.
Where:
N represents an integer.g(x) and f(x) represent the parent functions.In order to write an equation that models curve A, we would have to apply a reflection and horizontal translation to y = √x by 2 units left.
Read more on translation here: brainly.com/question/4521517
#SPJ1
