The domain and range of the relation will be [−4, −1, 1, 2, 2] and [−3, 1, 2, 5, 7], respectively. The relation is a function.
What are domain and range?The domain means all the possible values of x and the range means all the possible values of y.
A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
The function is given in the form of a coordinate.
f = {(2, 1), (−4, 5), (1, 7), (2, −3), (−1, 2)}
The domain of the function will be
D = [−4, −1, 1, 2, 2]
And the range of the function will be
R = [−3, 1, 2, 5, 7]
The domain and range of the relation will be [−4, −1, 1, 2, 2] and [−3, 1, 2, 5, 7], respectively.
The relation is a function because the values of the ordinate are different.
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According to Dolbear’s law, you can predict the temperature T (in degrees Fahrenheit) by counting the number x of chirps made by a snowy tree cricket in 1 minute. For each rise in temperature of 0.25°F, the cricket makes an additional chirp each minute. a. A cricket chirps 40 times in 1 minute when the temperature is 50°F. Write an equation in slope-intercept form that represents the temperature in terms of the number of chirps in 1 minute.
Answer:
the temp is 65 and there was 224 chirps
Step-by-step explanation:
Write a real world problem that could be solved by using the equation 3x-25= 125. Then solve the equation
Answer:
There can be many example for this equation like:
1. There are three friends and all have the same amount of money. Together they give $25 in a restaurant and they are left with $125. How much money did each have?
We can solve this like:
Let each friend had 'x' money so three friends had 3x money.
They gave out $25, means 3x-25 and are left with $125.
So, complete equation becomes :
[tex]3x-25=125[/tex]
Solving for x we get;
[tex]3x=125+25[/tex]
[tex]3x=150[/tex]
x = 50
So, each friend had $50.
The ratio of the side length of Square AA to the side length of Square BB is 4:94:9. The side length of Square AA is 1212 yards. What is the perimeter of Square BB?
What number has the value as 50 tens
you want to model the speed of a motorcycle which unit would be appropriate for measuring the quantity
If 2/3 of the girls have brown eyes and 1/4 of the girls have blue eyes, what fraction of the girls in class have niether blue or nrown eyes?
Answer:
1/12
Step-by-step explanation:
The fraction of the girls in class that have neither blue or green eyes is given by B = 1/12 of the girls
What is a Fraction?An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
Given data ,
Let the fraction of the girls in class that have neither blue or green eyes be represented as B
Now , the value of B is
Let the fraction of girls in the class that have blue eyes = ( 2/3 ) of girls
Let the fraction of girls in the class that have brown eyes = ( 1/4 ) of girls
So , the total fraction A = ( 2/3 ) + ( 1/4 )
The total fraction of girls with either blue of brown eyes A = ( 11/12 ) of girls
And , fraction of the girls in class that have neither blue or green eyes is given by B = 1 - A
On simplifying , we get
The fraction of the girls in class that have neither blue or green eyes is given by B = 1 - 11/12
The fraction of the girls in class that have neither blue or green eyes is given by B = 1/12
Therefore , the value of B is ( 1/12 ) of the girls
Hence , the fraction is 1/12 of the girls
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Solve and check x / 6 equals 12 / 9
x/6 = 12/9
x = 12/9 * 6
x = 8
check:
8/6 = 1.3333
12/9 = 1.3333
The diameter of the moon is about 3,476 kilometers. The distance from Earth to the moon is about 384,400 kilometers.About how many moons could be lined up in a row between Earth and the moon? Round to the nearest whole number.
Answer: About 111 of moons could be lined up in a row between Earth and the moon .
Step-by-step explanation:
Given : The diameter of the moon is about 3,476 kilometers.
The distance from Earth to the moon is about 384,400 kilometers.
Then , the number of moons could be lined up in a row between Earth and the moon will be :-
[tex]384,400\div3,476\\\\=110.586881473\approx111\text{ Rounded to the nearest whole number }[/tex]
Hence, about 111 of moons could be lined up in a row between Earth and the moon .
A square rug has an area 100 ft2. Write the side length as a square root. Then decide if the side length is a rational number.
The rug has side length______ft.
The side length of the square rug is 10 feet and it is a rational number since it can be written as a ratio of two integers.
Explanation:The area of a square is computed by squaring the length of one of its sides. The area of the rug is given as 100 square feet. Therefore, we can set up the following equation to find the side length:
S^2 = 100
Where 'S' represents the side length. To solve for 'S', we take the square root of both sides of the equation.
Therefore, S = √100
The square root of 100 is 10, so the side length of the rug is 10 feet.
Therefore, the rug has a side length of 10 ft. Since '10' can be expressed as a ratio of two integers, it is a rational number.
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1.3(8-b)+3.7b=-5.2
Solve the equation
The skating rink rented 218 pairs of skates during the month of April and 3 times that many in May how many pairs of skates did the rink rent I during April and may
To find the total number of pairs of skates rented in April and May, multiply the number rented in April by 3 and add it to the number rented in May. The total number rented is 872 pairs.
Explanation:
To find the number of pairs of skates rented during April and May, we need to know the number of pairs rented in April and the number rented in May. We are given that 218 pairs were rented in April and that 3 times that amount were rented in May. To find the total, we can multiply the number rented in April by 3 and add it to the number rented in May.
Total number rented = (218 pairs in April) + (3 * 218 pairs in May)
Total number rented = 218 pairs + 3 * 218 pairs = 218 pairs + 654 pairs = 872 pairs
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How can you show 198.000 as a power of using an exponents
A rectangular box is 8 1/2 inches long, 5 1/4 inches wide, and 4 inches high. What is its volume?
1/2(4x−5)+52=10
x=
A:5
B:8
C:12
D:20
3/4k+3/8k=12
k=
1.4x+2.6x=−16
X=-13
X=-4
X=-48
X=19
1/3(3+2x)−1=10
A:x= 6 2/3
B:x=15
C:x=20
D:x=5
ninety percent of a school's students or 540 students attended a school assembly.how Manny students are there at the school?
Need help solving this problem
Find k such that the equation kx^2+x+25k=0 has a repeated solution.
Final answer:
The value of k for the equation kx^2 + x + 25k = 0 to have a repeated solution can be found by setting the discriminant to zero. Solving for k, we find that k = 0.1 and k = -0.1 are the values that yield a repeated solution for this quadratic equation.
Explanation:
To find the value of k such that the equation kx^2 + x + 25k = 0 has a repeated solution, we need to use the discriminant of a quadratic equation. The discriminant D is given by D = b^2 - 4ac. For a quadratic equation to have a repeated solution, its discriminant must be zero (D = 0). In this equation, a = k, b = 1, and c = 25k. Plugging these values into the discriminant formula gives us:
D = 1^2 - 4(k)(25k)
Setting D to zero and solving for k will give us the value(s) of k for which the equation has a repeated solution:
0 = 1 - 100k^2
k = ± 0.1
Therefore, there are two values of k that make the original equation have a repeated solution: k = 0.1 and k = -0.1.
a number increased by seven
f as a function of x is equal to the square root of quantity 4 x plus 6, g as a function of x is equal to the square root of quantity 4 x minus 6
Find (f + g)(x). (5 points)
The sum (f + g)(x) of two functions f(x) = √(4x + 6) and g(x) = √(4x - 6) is determined by simply adding the two functions together, hence (f + g)(x) = √(4x + 6) + √(4x - 6).
Explanation:The functions provided are f(x) = √(4x + 6) and g(x) = √(4x - 6). The question asks for the value of (f + g)(x), which is the sum of f(x) and g(x).
To find (f + g)(x), you simply add the two functions together. Hence, (f + g)(x) = f(x) + g(x) = √(4x + 6) + √(4x - 6).
This indicates that the function (f + g)(x) is the addition of the values of f(x) and g(x) at any given value of 'x'.
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X is distributed with mean 6 and standard deviation 2 and Y=2X+5. Find the mean and standard deviation of the Y distribution.
How do you read 12.0045
The following diagram shows parallel lines cut be a transversal. What is the measure of Angle 2?
The angles in transverse parallel lines are related through some theorems such as vertical angles, corresponding angles, etc. the measure of [tex]\angle 2[/tex] is [tex]50^o[/tex]
Given the attached diagram
First, we solve for x using the corresponding angle theorem
[tex]5x + 55 = 2x + 100[/tex] ---- corresponding angles are equal
Collect like terms
[tex]5x - 2x = 100 - 55[/tex]
[tex]3x = 45[/tex]
Divide both sides by 3
[tex]x = 15[/tex]
We then solve for [tex]\angle 2[/tex] using the straight line theorem
[tex]\angle 2 + 5x + 55 = 180[/tex] ---- sum of angles on a straight line
Substitute 15 for x
[tex]\angle 2 + 5 \times 15 + 55 = 180[/tex]
[tex]\angle 2 + 75 + 55 = 180[/tex]
Collect like terms
[tex]\angle 2 =- 75 - 55 + 180[/tex]
[tex]\angle 2 =50[/tex]
Hence, the measure of [tex]\angle 2[/tex] is [tex]50^o[/tex]
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Two math questions
1.
Consider the following pair of equations:
y = x + 4
y = –2x – 2
Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form. (5 points)
2. attached
What is 8.038 x 10 to the 8th power in standard form
8.038 x 10 to the 8th power in standard form is 803,800,000, which is obtained by moving the decimal point 8 places to the right and filling in zeros as needed.
To answer the student's question about converting 8.038 x 10 to the 8th power to standard form, we need to recognize the concept of scientific notation. When a number is written in scientific notation with a positive power of 10, like 8.038 x 108, it means the decimal point will move to the right the number of times indicated by the exponent. In this case, 8 places. So starting from 8.038, move the decimal point eight places to the right to convert it into standard form.
By doing so, we add zeros to fill in the places as we move the decimal point: 803,800,000. Therefore, 8.038 x 10 to the 8th power in standard form is 803,800,000.
What is the third quartile of the data displayed in the box-and-whisker plot? Box-and-whisker plot ranging from 34 to 58 with ticks at increments of one half. Plot defined by points at 35, 37, 41, 49, 55.
The graph shows the cost for cherries and apples.
Which statement is true about the unit costs shown in the graph?
The unit cost for cherries is greater because the slope is greater than the slope for apples.
The unit cost for cherries is greater because the slope is less than the slope for apples.
The unit cost for apples is greater because the slope is greater than the slope for cherries.
The unit cost for apples is greater because the slope is less than the slope for cherries.
Answer:
The unit cost for cherries is greater because the slope is greater than the slope for apples.
Explanation:
Slope is the rate of change of a line. The slope of the graph for cherries is greater; we can see this because the line is steeper.
Since the slope is greater, the unit cost is greater.
The statement that represents the unit cost in the graph is that the unit cost for cherries should be more as the slope is more than the slope for apples.
The following information should be considered:
Slope refers to the changing in the rate with respect to the line.Also, the graph slope for cherries should be more as there is a steeper line as compared with the apple one.Also, if the slope is more, so the units cost should be more that means there is a direct relationship between each other
Therefore we can conclude that the first option is correct.
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Alex Rode her skateboard her velocity changed from 3m/s to 1m/s in 4 seconds. What was her acceleration?
Betty's height is 2/3 of Jinlan's height. Find the ratio of Betty's height to Jinlan's height.
the sides of a rectangle have a length of x + 6 units and a width of 7 x - 2 units what is the perimeter of the rectangle, in terms of x?
How many positive 4-digit integers have only odd digits?
Answer:
[tex]5^4 = 625[/tex]
Step-by-step explanation:
There are 5 possible odd digits to choose from: 1,3,5,7,9.
When we chose our first digit, we have 5 choices (the possible odd digits). For every one of those 5 choices, we can chose our second digit in 5 different ways again, then we have 5*5 = 25 ways for choosing our first two digits. We can do the same again, as for every one of the 25 first two digits, we can chose our third digit in 5 different ways (again, the odd numbers). So we multiply it by 5 again. Repeating this one more time, because we have 5 different ways to chose our fourth digit. At the end we will have
[tex]5*5*5*5 = 5^4 = 625[/tex]
This is a commun counting technique.