A collection of values for a variable that simultaneously fulfil each equation is the solution to a system of equations.
A set of two linear equations with two variables is a system of linear equations.
1. Examine the two algebraic methods of substitution and elimination for solving systems of linear equations.
2. Visualize systems of linear equations to better grasp when they have a single solution, none at all, or an unlimited number of solutions.
3. Examine algebraic techniques for determining the quantity of solutions for systems involving two linear equations.
To learn more about substitution and elimination method link is here
brainly.com/question/29560851
#SPJ4
Alexia needs to add 2/3 cup of sugar for the recipe she is making. She has added 1/2 cup already. How much more sugar does she need to add?
Answer: 1/6
Step-by-step explanation: 2/3 = 4/6
1/2 = 3/6
4/6 - 3/6 = 1/6
Sylvester and Lin go to the amusement park. Sylvester plays 5 rounds of mini golf and takes 4 turns in the batting cages for $60. Lin plays 3 rounds of mini golf and takes 6 turns in the batting cages for $45. Use two equations to find the price for each activity. Enter your answers in the boxes.
Answer:
Mini golf costs: $10.00 per round.
Batting cages cost: $2.50 each turn.
Step-by-step explanation:
Let g= rounds of golf
Let b = batting cage
Sylvester
5g+4b = 60
Lin
3g +6b = 45
We have two equations and two unknowns
5g+4b = 60
3g +6b = 45
Divide the second equation by 3
3/3g +6/3b = 45/3
q+2b = 15
Multiply this equation by -2
-2q -4b= -30
Add this to the first equation
5g+4b = 60
-2q -4b = -30
3q = 30
Divide by 3
3g/3 = 30/3
g = 10
A game of mingolf is 10 dollars
Now we need to find b
q+2b = 15
10 +26 =15
Subtract 10
10-10+2b =15-10
26=5
Divide by 2
2b/2 =5/2
b=25
A turn in the batting cage is 2.50
The answer is in the photo for you to answer.
Answer :
HU length = 24
If UVW is Isosceles triangle then UGH is Isosceles
UV=UW = 132
Then,
HU = UG = 24
What is the difference between mixture and compound Class 9?.
The main difference between a mixture and a compound is that a mixture is a physical combination of substances while a compound is a chemical combination of elements.
In chemistry, a mixture is a combination of two or more substances that are not chemically combined and can be easily separated by physical means. The properties of a mixture depend on the properties of the individual substances that make it up, and the substances retain their original properties. Examples of mixtures include air, salt water, and a bowl of fruit.
A compound, on the other hand, is a substance that is made up of two or more elements chemically combined in a fixed ratio. The properties of a compound are different from those of the individual elements that make it up. The atoms in a compound are chemically bonded together and cannot be easily separated by physical means. Examples of compounds include water (H₂O), table salt (NaCl) and sugar (C₁₁H₂₂O₁₁).
To know more on mixture and compound
https://brainly.com/question/5169457
#SPJ4
Recall that two angles are complementary if the sum of their measures is 90°
Find the measures of two complementary angles if one angle is 5° more than four times the other angle.
Answer:
I = 17deg, II = 73deg
Step-by-step explanation:
Let's say first angle is x, and then respectively, the second angle is 4*x + 5.
Their sum is 90 degrees, so:
x + (4*x+5) = 90
5x + 5 = 90
5x = 85 | :5
x = 17 degrees ==> first angle
4*x+5 = 73 degrees ==> second angle
which of the following subtractions is closest to 809-392
a=800-300
b=800-400
c850-400
d=900-300
What are the ratios of trigonometry?.
The ratios of the sides of a right triangle are called trigonometric ratios. Three common trigonometric ratios are the sine (sin), cosine (cos), and tangent (tan).
In arithmetic, the trigonometric functions (also known as circular features, perspective features, or goniometric functions) are actual features that relate an angle of a proper-angled triangle to ratios of side lengths. they may be extensively utilized in all sciences which might be associated with geometry, such as navigation, strong mechanics, celestial mechanics, geodesy, and lots of others. they are a few of the handiest periodic features, and as such are also extensively used for analyzing periodic phenomena through Fourier analysis.
The trigonometric functions most extensively used in cutting-edge mathematics are the sine, the cosine, and the tangent. Their reciprocals are respectively the cosecant, the secant, and the cotangent, which are less used. each of these six trigonometric capabilities has a corresponding inverse function and an analog most of the hyperbolic features.
To learn more about Trigonometric ratios visit here:
brainly.com/question/25122825
#SPJ4
What is the y-intercept for the graph of this line 3x 5y 6'6 next question?.
The y-intercept for the graph of this line 3x-5y=6 is -6/5.
In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph.
To determine the intercept of the equation, it would be helpful to write it in its slope-intercept form which is expressed as:
y = mx + b
where m is the slope and b is the y-intercept. Therefore, the value of b would be the correct answer here.
3x-5y=6
5y=3x - 6
y = 3x/5 - 6/5
Thus, the y-intercept is -6/5.
Thus, the y-intercept for the graph of this line 3x-5y=6 is -6/5.
To learn more about graph visit : brainly.com/question/17267403
#SPJ4
What is the gradient of the line y =- 10?.
The gradient of the line is 0.
Slope of lineA line's slope is defined as the ratio of the change in the y-coordinate to the change in the x-coordinate. Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by the symbols y and x, respectively. where "m" represents the slope of a line. So, tan is the slope of a line.
According to the question
Given the equation of a line is y = -10.
The general equation of the line is y = mx + c
This is a horizontal line because, regardless of the value of x, the value of y is always less than 10. A horizontal line by definition has a slope of:
m = 0
To know more about the slope of a line on brainly: brainly.com/question/14511992
#SPJ4
Suppose that the cost to ship an envelope is a function of its weight. For any
envelope up to 1 ounce, the charge is a stamp that costs $0.47. For an envelope over
1 ounce and up to 2 ounces, the charge is $0.68. Finally, for an envelope over 2
ounces and up to 3 ounces, the charge is $0.89. What are the practical domain and
range of this function?
The set of -values that are appropriate in the given situation is known as the practical domain. Solution: F (x) = 2 x is the function's formula.
What is a practical domain of a function?You are not accounting for or measuring any rainfall that occurred prior to the storm's onset, thus there is a total of 0 inches of precipitation at that time. Six and a half hours are spent in the storm.
Example :
Miami, Florida, experiences heavy rainfall due to a powerful hurricane. A 2 inch per hour downpour is occurring. In 6 and a half hours, the storm is over. The total amount of rain that has fallen throughout time should be modeled mathematically. The function is plotted. For this situation, identify the practical domain. The set of -values that are appropriate in the given situation is known as the practical domain.
Solution: Since there was no rain measured or included before the storm began, the function is as follows:
f(x)= 2x
There was 0 inches of rain at the moment the storm began. Six and a half hours are spent in the storm. f(6.5) = 2(6.5) = 13 inches of rain had been recorded at 6.5 hours, or so. It follows in words what the domain and range are:
Domain :
All real numbers between and including 0 and 6.5 hours.
Range :
All real numbers between and including 0 and 1.3 inches.
Domain and range can be expressed more easily with the help of some helpful notation, such as the following:
Domain { x∈R,0≤ x ≤ 6.5} [0,6.5]
Range { x∈R,0≤ x ≤ 6.13 [0,13].
To learn more about Practical domain refers to;
https://brainly.com/question/30332845
#SPJ1
How do you write 149600000000 in standard form?.
To write 149600000000 in standard form, we need to move the decimal point to the left or right so that there is only one non-zero digit to the left of the decimal point. 149600000000 in standard form would be written as 1.496 x 10^11.
To arrive at this form, we move the decimal point 11 places to the left (since there are 11 zeros in 149600000000) and add the power of 10 notation, indicating that we moved the decimal point 11 places to the left. The number 1.496 is the coefficient and 11 is the exponent. This way, we get 1.496 x 10^11 which is the standard form of 149600000000.
Standard form, also known as scientific notation, is a way of expressing a number in a compact and efficient manner. It is typically used for very large or very small numbers. To write a number in standard form, the decimal point is moved so that there is only one non-zero digit to the left of the decimal point. The number of places the decimal point is moved is indicated by a power of 10
To learn more about the decimal point questions:
https://brainly.com/question/3388038
#SPJ4
to the nearest tenth
[tex] \sqrt{50} [/tex]
The rounded number to the nearest tenth is 7.1
How to round to the nearest tenth?
Examine the hundredth number to determine the decimal number's nearest tenth. Add one to the tenth value if the number is more than 5. The tenth place value should remain unchanged if it is less than 5, but all subsequent numbers should be eliminated.
√50 = 7.071
hundredth number is 7 greater than 5
Add one to the tenth value if the number is more than 5
all subsequent numbers should be eliminated.
Thus, the rounded number to the nearest tenth is 7.1
To learn more about the rounding from the given link
https://brainly.com/question/1620496
#SPJ1
in a group of 42 students 17 use pens for writing and 21 use pencils for writing. find the probability that a student picked from this group at random is using a pen or pencil?
(Using addition rule of probability)
The probability that a student picked from this group at random is using a pen or pencil is 19/21
What is probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.
Given that, in a group of 42 students, 17 use pens for writing and 21 use pencils for writing.
P(A or B) = P(A) + P(B)
P(A) = 17 / 42
P(B) = 21 / 42
P(A or B) = 17 / 42 + 21 / 42
P(A or B) = 38 / 42
P(A or B) = 19/21
Hence, the probability that a student picked from this group at random is using a pen or pencil is 19/21
Learn more about probability, click;
https://brainly.com/question/30034780
#SPJ1
Can someone show how to do this step by step with a graph?
Plot the lines and shade in the regions on the same x-y plane to find the solution to the system of inequalities 4x+6y ≤ 24 and x + 5y ≤ 10 fall under the mixed shaded region in the graph.
What is the linear inequalities?
Linear inequalities are mathematical expressions that describe a relationship between two variables that is linear in nature. The most common form of a linear inequality is of the form ax + by < c, where a, b, and c are constants and x and y are variables.
Yes, this system of two linear inequalities can be represented graphically on the x-y plane by plotting the solutions to each inequality. The steps are as follows:
Replace the equation with the slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept. For example, the first equation can be rearranged as:4x + 6y <= 24
=> -6y <= -4x + 24
=> y >= (4/6)x + 4
=> y = (4/6)x + 4
Plot the line corresponding to each equation. You can use the slope-intercept form of each equation to get the slope and y-intercept of each line, and then plot the line using the slope and y-intercept. For example, the line for the first equation is y = (4/6)x + 4, which is the graph of a line with slope 4/6 and y-intercept 4. The line for the second equation is y = (1/5)x + 2, which is the graph of a line with slope 1/5 and y-intercept 2.Determine the side of the line to shade in for each inequality. If the inequality is less than or equal to, shade in the region below the line. If the inequality is greater than or equal to, shade in the region above the line.The solution to the system of inequalities is the intersection of the shaded regions, which is the region where both inequalities are simultaneously satisfied. This represents the set of all possible (x, y) pairs that satisfy both equations.Plot the lines and shade in the regions on the same x-y plane to find the solution to the system of inequalities.To learn more about linear inequalities, Visit
https://brainly.com/question/11897796
#SPJ1
Help is very much appreciated need this by tmr.
A triangle has vertices A (2,-3), B (-2,1) and C (1,2). Find the midpoint of the side AB.
the mid point of the side AB is (0,-1).
What is triangle?
Three edges and three vertices define a triangle as a polygon. One of geometry's fundamental shapes is this one. The designation "triangle ABC" refers to a triangle containing the vertices A, B, and C. When three points are non-collinear in Euclidean geometry, they each produce a distinct triangle and plane. A triangle's area is the region that each of its sides touches. A triangle's area varies from one triangle to another depending on the size of its sides and internal angles. Triangle area is measured in square units like m2, cm2, and in2.
A = (2,-3)
B = (-2,1)
Mid point will be 1+3/2, -2-2/2
Mid point is (0,-1)
Hence the midpoint of the side AB is (0,-10).
Learn more about triangle, by the following link
brainly.com/question/17335144
#SPJ1
How will a graphing calculator help a student understand mathematics better?.
The study comes to the additional conclusion that both interventions—traditional methods of instruction and the use of graphing calculators—improve students' abilities to compute mathematically.
Typically, graphing calculators are used by high school students or students in higher classes. In addition, if you are enrolled in one of these levels, you are already familiar with the higher-levelJust by looking at a few numerical characters, mathematical puzzles can become complex, and not all books have the answers to all of those puzzles. However, using a graphing calculator will allow you to avoid this circumstance. When taking a math test, one problem we frequently experience is not knowing whether the response is right or wrong. because even a small mistake can change the entire result. For that to be known, the data and graphical lines must match precisely.To learn more about graphing calculators here
brainly.com/question/27554848
#SPJ4
What is the slope of the line 5y =- 3x 10?.
The slope of the line 5y = -3x + 10 is -3/5.
To find the slope of the line represented by the equation 5y = -3x + 10, we can first put the equation in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.
In this case, we can start by dividing both sides of the equation by 5:
y = (-3/5)x + 2
where (-3/5) is the slope of the line, and 2 is the y-intercept. Therefore, the slope of the line 5y = -3x + 10 is -3/5.
Alternatively, you could have directly found the slope by looking at the x and y coefficients, in this case the slope is -3/5
To learn more about slopes visit: brainly.com/question/19131126
#SPJ4
Compare the following sets of data for June 2006 and June 2005.
Canadian Housing Prices by City ($)
June 2006
June 2005
Canadian City
Vancouver
Victoria
Calgary
Edmonton
Regina
Saskatoon
Ottawa
Toronto
Montreal
Fredericton
Saint John
Halifax
Sources: MLS and Remax
Mean:
1. Find the measures of central tendency for each. State any conclusions found.
Median:
Mode:
508 435
538 913
367 033
254 240
137 022
160 548
260 458
358 035
222 879
136 371
127 586
201 316
Conclusions:
June 2006
June 2006
422 843
469 588
245 803
199 409
132 054
139 728
254 725
345 065
210 740
134 334
125 455
184 853
June 2006
June 2005
June 2005
June 2005
The Mean for June 2006 and 2005 is $345,909 and $335,977 respectively. The median for June 2006 and 2005 is $254,000 and $139,000 respectively, there's no mode in this question.
Explain mean, median, mode briefly?In statistics, the mean, mode, and median are three measures of central tendency that describe a set of numerical data.
The mean is the average of a set of numbers, calculated by adding up all the values and dividing by the number of values. For example, if a set of data contains the values {1, 2, 3, 4, 5}, the mean is (1 + 2 + 3 + 4 + 5) / 5 = 3.
The mode is the value that appears most frequently in a set of data. For example, if a set of data contains the values {1, 2, 2, 3, 4, 4, 4, 5}, the mode is 4, because it appears three times, which is more than any other value.
The median is the middle value in a set of data when it is ordered in ascending or descending order. For example, if a set of data contains the values {1, 2, 3, 4, 5}, the median is 3, because it is the middle value. If there is an even number of values, then the median is the average of the two middle values.
It is important to note that different sets of data may have different measures of central tendency, and sometimes none of these measures may be appropriate.
Measures of central tendency are used to summarize and describe a set of data. The most common measures of central tendency are the mean, median, and mode.
1. Mean:
• Mean for June 2006: (508+435+538+913+367+033+254+240+137+022+160+548+260+458+358+035+222+879+136+371+127+586+201+316)/22 = $345,909
• Mean for June 2005: (422+843+469+588+245+803+199+409+132+054+139+728+254+725+345+065+210+740+134+334+125+455+184+853)/22 = $335,977
2. Median:
• Median for June 2006: Median of ordered data is the value in the middle of the data set, It is the 11th value in order set. we can see that it is $254,000
• Median for June 2005: Median of ordered data is the value in the middle of the data set, It is the 11th value in order set. we can see that it is $139,000
3. Mode:
• Mode for June 2006: There is no mode, because no value is repeated.
• Mode for June 2005: There is no mode, because no value is repeated.
Conclusions:
• The mean housing price in June 2006 is higher than the mean housing price in June
To know more about mode visit:
https://brainly.com/question/12789483
#SPJ1
In the continental United States the ratio of states the border an ocean to states that do not boarder an ocean is 7:9. How many states are landlocked and do not boarder an ocean.
There are 21 states landlocked and 27 states do not border an ocean.
What is Ratio?A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
Since there are 48 states in the continental United States, some of which are on the border of an ocean and some of which are not.
According to the question,
The ratio of the states having the border to the ocean and not having the border to the ocean = 7 : 9
Let the states having the border to the ocean = 7x
The states do not have a border to the ocean = 9x
Thus, 7x + 9x = 48
⇒ 16x = 48
⇒ x = 3
So, the states do not have a border to the ocean = 7 × 3 = 21
And, the states do not have a border to the ocean = 9 × 3 = 27
Learn more about the Ratio here:
brainly.com/question/1504221
#SPJ1
Ivan has inherited his mother's 1963 Chevrolet Corvette, which hevalues at $45,000. He decides that he might be willing to sell it so heposts it on Craigslist for $55,000. Samantha is interested and willing to pay up to $72,000
Samantha is willing to pay up to $72,000 for the 1963 Chevrolet Corvette, which is $17,000 more than Ivan's asking price of $55,000.
What do you mean by inherit?It means to receive something from a parent or ancestor through genetic transmission. It also means to receive something as a devise or legacy from an ancestor. inherit an enzyme that is flawed.
Ivan inherited the car and valued it at $45,000, therefore he would make a profit of $17,000 if he sells the car to Samantha.
It's important to note that the final price will depend on the negotiation and agreement between Ivan and Samantha.
Learn more about inherit
https://brainly.com/question/13292255
#SPJ4
Which i the following equation i the bet model for a line of fit for the data? Y=-1. 34x21. 5
The equation which is the best model for a line of best fit for the data is y = ½ x – 1. (Option B)
A line of best fit refers to a straight line which minimizes the distance between it and some data. It expresses a relationship in a scatter plot of different data points. It is an educated guess about where a linear equation which may fall in a set of data plotted on a scatter plot. It is an output of regression analysis and is used as a prediction tool.
The equation of the line can be determined using slope intercept form of the line which is y = mx + b where m is the slope and b is the y intercept. From the given graph, two points which lie on the line of best fit can be used to determine the slope. Let consider two points (2, 0) and (0, -1). Hence
m = (-1 – 0)/(0 – 2) = -1/-2 = ½
The value of y intercept is -1 (when x = 0)
Hence, the equation is:
y = ½ x - 1
Learn more about Line of best fit:
https://brainly.com/question/29359130
#SPJ4
Victoria had $200 in her account at the end of one year. At the first of each subsequent year she deposits $15 into the account and earns 2% interest on the new balance, compounded annually. Which recursive formula represents the total amount of money in Victoria’s account at the end of the nth year?
The recursive formula represents the total amount of money in Victoria’s account at the end of the nth year
What is the recursive formula?Generally, The recursive formula representing the total amount of money in Victoria's account at the end of the nth year is:
A(n) = A(n-1) + 15 + 0.02 * A(n-1)
where
A(n) is the total amount of money in Victoria's account at the end of the nth year, A(n-1) is the total amount of money in Victoria's account at the end of the (n-1)th year, 15 is the amount deposited at the beginning of each year, and 0.02 is the annual interest rate (expressed as a decimal).To get the first value of A(n) we can use the initial condition
A(1) = 200 + 15 + 0.02 * 200
Read more about recursive formulas
https://brainly.com/question/8972906
#SPJ1
What is the product 4y − 3 )( 2y 2 3y − 5?.
The product of equation (4y-3)(2y²+3y-5) is 8y³+6y²-29y+15.
According to the question,
The equation is = (4y-3)(2y²+3y-5)
A product is defined as the result of two or more numbers when multiplied together.In mathematics, a product is the result of multiplication or an expression that identifies objects ( variables) to be multiplied, called factors.First, let us start with "4y"
4y×2y² = 8y³
4y×3y = 12y²
4y×(-5 )= -20y
Next, let us multiply by "-3"
(-3)×(2y²) = -6y²
(-3)×3y = -9y
(-3)×(-5) = 15
Now, let us combine all of our values.
The product is = 8y³+12y²-6y²-20y-9y+15
= 8y³+6y²-29y+15 (apply BODMAS rule)
So, the product is 8y³+6y²-29y+15.
Read more about the product:
https://brainly.com/question/24716925
#SPJ4
How to graph piecewise functions
Step by step
Please help, been stuck on thus question for 2 days
Answer:
see attached
Step-by-step explanation:
You want to graph the piecewise defined function ...
f(x) = 2x+9 for x < -3; 2x-2 for x > 4
GraphYou normally graph a line by finding (at least) two points on the line and drawing a line through them to make the graph. Often, it is convenient to start with the y-intercept. Here, it is convenient to start with the end point of the domain on which the line is defined. Additional points can be found by making use of the slope: rise 2 for each run of 1 to the right.
For x < -3, the value of y at x=-3 is ...
y = 2(-3) +9 = 3
So, the point (-3, 3) will appear on the graph. This point is not actually in the domain, which is x < -3, so will be graphed as an open circle. The line goes down and to the left from there with a slope of 2.
For x > 4, the value of y at x=4 is ...
y = 2(4) -2 = 6
So, the point (4, 6) will appear on the graph as an open circle, because x=4 is not actually in the domain of the function. The line will go up to the right from there with a slope of 2.
See the attachment for a finished graph.
A bank account pays 2% annual (yearly) interest. a. If $500 is put in the account, what will the balance be at the end of five years, assuming no additional deposits or withdrawals are made? b. Write an equation that shows how to correctly determine the answer.
The balance at the end of five years is $552.04.
The equation that that represents the balance in the account is $500 x (1.02)^5
What will be the balance of the account?The amount of money in the bank account would grow at an exponential rate.
The formula for calculating future value:
FV = P (1 + r)^nm
Where:
FV = Future value P = Present value R = interest rate N = number of years$500 x (1 + 2/100)^5
$500 x (1.02)^5 = $552.04
To learn more about future value, please check: https://brainly.com/question/18760477
#SPJ1
STOP GIVING ME FALSE ANSWER , AND PLEASE HURRY! THIS IS A TEST!
Stuck, anyone can help?
Answer:
3.2
Step-by-step explanation:
......................
After Carl ha ued 1 yard of cable how much cable will he have left explain how you found your anwer
Carl has 2 5/36 yard cable, more than 1 yard, not specified left.
What is yard ?
A yard is a unit of length measurement in the U.S. customary system and the imperial system. It is equal to 3 feet or 36 inches. The symbol for yard is "yd". It is mostly used in the United States and the United Kingdom for measuring small lengths, such as in construction, textiles, and landscaping.
Carl has three lengths of cable, 5/6 yard long, 1/4 yard long and 2/3 yard long. The total length of the cable that Carl has is:
5/6 + 1/4 + 2/3 = (30 + 15 + 40) / 36 = 85 / 36 = 2 5/36 yard
To check whether he has at least one yard of cable or not, we need to compare the total length of the cable he has (2 5/36 yard) with 1 yard. Since 2 5/36 is greater than 1, it means he has more than 1 yard of cable. So, he will have at least 1 yard of cable left after using some of it.
Carl has 2 5/36 yard cable, more than 1 yard, not specified left.
To learn more about yard visit : brainly.com/question/28365360
#SPJ4
Carl has three lengths of wire, each measuring 5/6 yards, 1/4 yards, and 2/3 yards. The wire that Carl has measures a total of:
5/6 + 1/4 + 2/3 = (30 + 15 + 40) / 36 = 85 / 36 = 2 5/36 yard
We need to compare the entire length of the cable he has (2 5/36 yard) with 1 yard to see if he has at least one yard of cable or not. He has more than one yard of cable since 2 5/36 is larger than 1, which is greater than 1. After using some of the wire, he will still have at least 1 yard of it.
21. The marks obtained by the students of class VII in the class test of Mathematics are given in the table below. Find the average marks. Marks obtained No. of students 10 3 20 6 30 10 40 7 50 4
Answer:
The average marks = 31
Step-by-step explanation:
We know that the average can be measured using mean
Mean = Sum of observations / no of observations
In the given data no of observations = sum of frequencies
= 3+6+10+7+4
=30
Sum of observations = No of marks * frequency 1 + No of marks * frequency 2+...
= 10*3 +20*6+30*10+40*7+50*4
= 930
Mean = 930/30
= 31
What are the domain and range of g of x equals the square root of the quantity x minus 3? D: [3, ∞) and R: [0, ∞) D: [–3, ∞) and R: [0, ∞) D: (–3, ∞) and R: (–∞, 0) D: (3, ∞) and R: (–∞, 0)
ASAP
Answer: The domain of g(x) = √(x - 3) is (3, ∞) because the square root function is defined for non-negative numbers, x - 3 must be greater than or equal to 0, which means x must be greater than 3.
The range of g(x) = √(x - 3) is (0, ∞) because the square root function can only output non-negative numbers, and as x increases, the value of √(x - 3) will also increase.
So the correct answer is: D: (3, ∞) and R: (0, ∞)
Step-by-step explanation:
The domain of the given function is Domain: [3,∞),{x|x≥3} and the range is Range: [0,∞),{y|y≥0}. Therefore, the option A is the correct answer.
The given function is g(x)=√(x-3).
We know that, the domain is set of all x-values and the range is set of all y-values.
Substitute x=1, 2, 3, 4,.....in the given function, we get
g(1)=√(1-3) = i√2
g(7)=√(7-3) = 2
g(19)=√(19-3) = 4
So,
Domain: [3,∞),{x|x≥3}
Range: [0,∞),{y|y≥0}
Therefore, the option A is the correct answer.
To learn more about the domain and range visit:
brainly.com/question/28135761.
#SPJ2
