The set of ordered pair (x,y) is a function If each value of x has exactly only one corresponding value of y .
What are Function ?
The Function is defined as a relation that associates each element 'a' from a non empty set A to at least a single element 'b' from another non-empty set B.
For Example : Consider the ordered pairs , F = [tex][(0,4) , (2,3)][/tex] ;
the element 0 has the image as 4 , and the element 2 has the image as 3 .
So , we can see that , the each value of x has exactly only one corresponding value of y .
Therefore , the given ordered pair can be considered as a function .
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What comes first in order pairs?
In an ordered pair (x,y), the x-coordinate comes first, followed by the y-coordinate. The x-coordinate represents the horizontal position of the point on a coordinate plane and the y-coordinate represents the vertical position of the point on a coordinate plane.
For example, in the ordered pair (4,3), 4 is the x-coordinate, and it represents the horizontal position, and 3 is the y-coordinate, and it represents the vertical position of the point (4,3) on a coordinate plane.
How do you calculate 2 + 3 x 7?
a. 2+3 x 7 = 2+21= 23
b. 2+7x7 = 2 + 21 = 35
C. 2+7x3 = 2 + 21 = 23
Answer:
A
Step-by-step explanation:
using BODMAS
3×7=21+2=23
What do you observe about the end behavior tails of the graphs of the polynomial functions?
The end behavior of the graphs of polynomial functions is determined by the highest degree of the polynomial.
For example, a polynomial with degree n will eventually approach infinity as x increases or decreases without bound. This can be expressed mathematically as:
f(x) = axn -> lim x->∞ f(x) = ∞
and
f(x) = axn -> lim x->-∞ f(x) = ∞
where a is a constant.
For a polynomial of degree n, the graph will have n-1 turning points. As the degree increases, the graph approaches a smooth curve. Additionally, the graph will have either one up-turn or one down-turn depending on the sign of the leading coefficient. If the leading coefficient is positive, the graph will have an up-turn; if the leading coefficient is negative, the graph will have a down-turn.
For example, the end behavior of the graphs of the polynomial f(x) = 2x3 + 2x2 - 2x - 1 has degree 3, so it will have 2 turning points and will have an up-turn as the leading coefficient is positive.
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Need the answers am having trouble with this last question help me pls
Answer:
A, B, C, and G
Step-by-step explanation:
f(0)=75 is true because that's the y-intercept
f(30)=100 is true
f(20)=175 is true
f(0)=0 is not true because we already identified f(0) as 75
f(x)=100 when x=20 is not true because we already identified f(20) as 175
f(10)<f(5) is not true because looking at the graph, f(10)>f(5)
f(10)=f(15) is true because the graph is constant between the two points
I need help with these questions. Please help.
The volume of gas a balloon can hold varies directly as the cube of its radius. Imagine a balloon with a radius of 4 inches can hold 192 cubic inches of gas. How many cubic inches of gas must be released to reduce the radius down to 3 inches?
Answer:
The volume of a balloon is directly proportional to the cube of its radius, so we can use the formula:
V1/V2 = (R1/R2)^3
Where V1 is the initial volume, V2 is the final volume, R1 is the initial radius, and R2 is the final radius. We know that when the radius is 4 inches, the volume is 192 cubic inches, so we can use this information to find the final volume when the radius is 3 inches.
V1 = 192 cubic inches
R1 = 4 inches
R2 = 3 inches
V1/V2 = (R1/R2)^3
V2 = V1 / (R1/R2)^3
V2 = 192 / (4/3)^3 = 192/ (4/27) = 192 * 27/4 = 192 * 6.75 = 1296 cubic inches
So, 1296 cubic inches of gas must be released to reduce the radius down to 3 inches.
Use the drop-down menus to complete the statement about the inequality d>3.
The inequality d > 3 has infinitely many solutions because 4 and any number to the right of 3 on the number line can be substituted for d to make this inequality true.
What are infinitely many solutions?In Mathematics, an equation or an inequality is said to have an infinitely many solutions when the left hand side and right hand side of the equation or inequality are the same and equal.
This ultimately implies that, an equation or an inequality would have infinitely many solutions when both sides of the equal sign are the same, and both the slope and y-intercept for the two lines are the same.
The given inequality d > 3 simply means that the variable d is greater than three (3). Therefore, d represents the set of all possible real numbers that are greater than 3 and from the right of 4 on the number line for d > 3 because it has infinitely many solutions.
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Complete Question:
Use the drop-down menus to complete the statement about the inequality d > 3.
The inequality d > 3 has _____ solutions because ______ can be substituted for d to make this inequality true.
Options: for the first one 0 1 2 8 9 Infinitely many
For the second one: No numbers only 1 number 4 and any number to the right of 3 on the number line
What two numbers multiply to give you 16 and add up to give you negative 8
Answer:
-4 and -4
Step-by-step explanation:
The graph of g(x) is transformed from its parent function, ). Apply concepts involved in determining the key features of
1
X-6
a rational function to determine the domain and range of the function, g(x)=
A. What is the domain of the function, g(x)?
B. What is the range of the function, g(x)?
Answer:
X = 10
Step-by-step explanation:
If f(x) = 2x2 - 7x - 7, find f(6)
Step-by-step explanation:
f(x) = 2x² - 7x - 7
f(6) = 2(6)² - 7(6) - 7
f(6) = 72 - 42 - 7
f(6) = 23
A train will travel 300300300 kilometer at a contant rate. 1. Write an equation that repreent the train' rate in kilometer per hour (rrr) baed on how many hour the trip take (ttt)
The equation that represents how many hours it will take if train travel at a constant rate of r kilometers per hour speed is t = 300/r
Define Speed :This is defined as the ratio of distance to time taken usually in kilometers per hour, miles per hour.
The rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.
How to write equation
Distance Saul biked = 300 kilometers
Number of hours it takes train travel = t
Speed of train travel (kilometers per hour) = r
Speed = Total distance travelled / Time taken
r = 300 / t
Equation that represents how many hours
Make t the subject of formula
r = 300 / t
cross product
r × t = 300
t = 300/r
Therefore,
The equation that represents how many hours it will take if train travel at a constant rate of r kilometers per hour speed is t = 300/r
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Find the 10th term in this
quadratic sequence.
2n² + 3
A.5
B.43
C. 105
D. 203
Answer:
D
Step-by-step explanation:
to find the 10th term substitute n = 10 into the rule, that is
2(10)² + 3
= 2(100) + 3
= 200 + 3
= 203
the 10th term is 203
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 6 N acts on a certain object, the acceleration
of the object is 3 m/s². If the force is changed to 20 N, what will be the acceleration of the object?
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8
X
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PLEASEEEE HELPPP MEEEEEEE
When the object's acceleration reaches 6.67 m/s2, the force is 20 N.
The mass of an object determines the acceleration it experiences.
The force is 6 N if the object's acceleration increases to 3 m/s2.
Reason:
The parameters listed are;
The occupying force the object's acceleration.
The acceleration produced by a force, F, of 18 N is equal to 6 m/s2.
Newton's Second Law of Motion states that;
F = M × A
Where;
m = The object's mass
In light of the parameters, F = 18 N and a = 6 m/s2, we may determine the mass of the
the following is the provided object;
Weight = F/A
Therefore, the force acting when the acceleration is an is;
20 = 3 kg, where a = a = 6.67 m/s2.
When the object's acceleration reaches 6.67 m/s2, the force is 20 N.
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Write the equation of the line that passes through the points (-2,-3) and (-4,17)
Answer: y=−2.8x + 11.4
Clare has $150 in her bank account. She withdraws $110 to buy a bike. What is Clare's account balance now?
Clare's account balance is $40
How to calculate the amount of money in Clare's account balance ?Clare has $150 in her bank account
She withdraws $110 from this money to purchase a bike
The amount of money left in her account after purchasing the bike can be calculated as follows
150-110
= 40
Hence Clare has $40 in her account after purchasing the bike
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help me with this please
Answer: D
Step-by-step explanation:
The amount needs to be saved 8 times, and the phrase "at least" means the value can be greater than or equal to. So, the answer's the 4th option.
A savings account is opened with an initial deposit of $425.00. determine the account balance after 9 years if the account earns 2.7% simple interest annually. $3,928.28 $1,457.75 $528.28 $103.28
The account balance after 9 years is $528.28. The result is obtained by adding the interest to the initial deposit.
How to count the simple interest?
The simple interest of an amount of money can be counted by the following formula.
I = P₁ - P
I = P × r × t
Where
I = simple interestP = principal amount (initial balance)P₁ = final balancer = simple interest ratet = time periodWe have
Initial deposit, P = $425.00.Time period, t = 9 years.Simple interest rate, r = 2.7% per year.Find the final account balance!
After 9 years, the simple interest of the savings is
I = P × r × t
I = $425.00 × 2.7% × 9 years
I = $3,825.00 × 0.027
I = $103.28
The final account balance would be
I = P₁ - P
$103.28 = P₁ - $425.00
P₁ = $425.00 + $103.28
P₁ = $528.28
Hence, after 9 years, the account balance would be $528.28.
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3 (2x - 4) = 3 (2x + 4)
[tex]3 (2x - 4) = 3 (2x + 4)[/tex]
Distribute:
[tex](3)(2x)+(3)(-4)=(3)(2x)+(3)(4)[/tex]
[tex]6x-12=6x+12[/tex]
Subtract 6x from both sides:
[tex]6x-12-6x=6x+12-6x[/tex]
[tex]-12=12[/tex]
Add 12 to both sides:
[tex]-12+12=12+12[/tex]
[tex]0=24[/tex] (false)
[tex]\fbox{No solution}[/tex]
Answer:
False Expresion, Wrong , Error
Step-by-step explanation:
if solving for x
3 (2x - 4) = 3 (2x + 4) insert the 3 into the parenthesis [remember to imput for each element])
6x - 12 = 6x +12 False expression
if we decide to go further we would get
0x = 24
What is the volume of this cylinder?
Use 7 = 3.14 and round your answer to the nearest hundredth if necessary.
15 cm
cubic centimeters
18 cm
On solving the provided question, we can say that volume of cylinder = [tex]\pi r^2h[/tex] = 13564.8
what is cylinder?One of the most fundamental curved geometric forms is the cylinder, which is often a three-dimensional solid. It is referred to as a prism with a circle as its base in elementary geometry. Several contemporary fields of geometry and topology also define a cylinder as an indefinitely curved surface. A three-dimensional object known as a "cylinder" consists of curving surfaces with circular tops and bottoms. A cylinder is a three-dimensional solid figure that has two bases that are both identical circles joined by a curving surface at the height of the cylinder, which is determined by the distance between the bases from the center. Examples of cylinders are cold beverage cans and toilet paper wicks.
volume of cylinder = [tex]\pi r^2h[/tex]
[tex]\pi[/tex] = 3.14
r = 15 cm\
h = 18 cm
V = [tex]3.14*15*16*18[/tex] = 13564.8
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Please help I’ll give brainliest Write the rule for the linear function in the table
The rule for the linear function in the table include the following: y = 2x.
How to write a rule for the linear function?In order to write a rule for the linear function, we would have to use the point-slope form formula. Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:
y - y₁ = m(x - x₁)
Where:
m represents the slope.x and y are the points.Next, we would determine the linear function representing the relationship between the x-value and y-value in the given table as follows:
y - y₁ = m(x - x₁)
y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
y - (-4) = (4 - (-4))/(2 - (-2))(x - (-2))
y + 4 = 8/4(x + 2)
y + 4 = 2(x + 2)
y = 2x + 4 - 4
y = 2x
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graph
16. 2y – 4x < 8
17. -4y > -x + 12
18. | x + 3 |= y
19. |2x – 6| + 2 = y
To graph the inequality 2y - 4x < 8, we can start by isolating the y variable on one side of the inequality. To do this, we add 4x to both sides:
An explanation graph is what?
A graph is a representation of the relationship between two variables that are normally measured along one of a pair of axes at right angles.
2y - 4x < 8
2y < 4x + 8
Next, we divide both sides by 2 to get y by itself:
y < 2x + 4
To graph this inequality, we can start by plotting the y-intercept, which is the point where x = 0. In this case, y = 2(0) + 4 = 4, so the y-intercept is (0, 4). Next, we can find the slope of the line, which is -2.
To graph the inequality -4y > -x + 12, we can start by isolating the y variable on one side of the inequality. To do this, we add x to both sides:
-4y > 12 - x
Next, we divide both sides by -4 to get y by itself:
y < -3 + (1/4)x
To graph this inequality, we can start by plotting the y-intercept, which is the point where x = 0. In this case, y = -3 + (1/4)(0) = -3, so the y-intercept is (0, -3). Next, we can find the slope of the line, which is (1/4).
The equation | x + 3 |= y represent a vertical line with x = -3
The equation |2x – 6| + 2 = y represent a V shape with the vertex at (-3,2)
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Find the measure of each numbered angle.
Answer 50 for the bottom and 48 for the sides
y=5x-9
-2x-3=-7 Please show work
Answer:
Step-by-step explanation:
-2x-3=-7
+3 +3
-2x=-4
/-2 /-2
x=2
Y=5(2)-9
Y=10-9
Y=1
Answer:
Step-by-step explanation:
Given:y = 5x - 9 (eq'n 1)
-2x - 3 = -7 (eq'n 2)
Solution:Solve for x in (eq'n 2)
-2x -3 = -7 (add 3 to both side of the eq'n)
(-2x - 3) + 3 = -7 + 3
-2x = -4 (divide both side by -2)
x = 2
Therefore the value of y is:
From (eq'n 1), Substitute the value of x
y = 5x - 9
y = 5(2) - 9
y = 1
the hieghts of the people if the plant Ixx are normally distributed with a mean of 40 inches and a standard deviation of 5 inches. [ they are vertically diverse people.]
The percentage and the z-scores for specific heights of the given normal distributions are as detailed below.
How to Interpret normal distribution?
The first step is to draw the Normal curve with 8 regions, and then we now label the 7 vertical dividing lines with the mean plus/minus one/two/three standard deviations:
By adding the percentage values in the areas indicated in the question, we will arrive at;
The percentage of Ixxians that are;
i) Over 30 inches tall = 100% - (2.35% + 0.15%) = 97.5%
ii) Over 45 inches tall = 13.5% + 2.35% + 0.15% = 16%
iii) Under 50 inches tall = 100% - (2.35% + 0.15%) = 97.5%
iv) under 40 inches tall = 34% + 13.5% + 2.35% + 0.15% = 50%
v) between 35 and 55 inches tall = 34% + 34% + 13.5% + 2.35% = 83.85%
vi) between 25 and 35 inches tall = 13.5% + 2.35% 15.85%
The z-score is defined as the number of standard deviations above the mean corresponding to the given value. Thus;
i. For a height of 32 inches, the z-score is;
z = [32-40]/5
z = -1.6
ii. For a height of 47 inches, the z-score is;
z = [47 - 40]/5
z = 1.4
iii. For a height of 51 inches, the z-score is;
z = [51 - 40]/5
z = 2.2
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Complete question is;
The hieghts of the people if the plant Ixx are normally distributed with a mean of 40 inches and a standard deviation of 5 inches. [ they are vertically diverse people.]
a) What percentage of Ixxians are
i over 30 inches tall?
ii over 45 inches tall?
iii under 50 inches tall?
iv under 40 inches tall?
v between 35 and 55 inches tall?
vi between 25 and 35 inches tall?
b) What is the z-score for an Ixxian of height?
i. 32 inches?
ii. 47 inches
iii. 51 inches
Does (0, 5) make the equation y = x + 5 true?
Is √ 3x² 2x a polynomial?
Because it has a variable and that variable is raised to a certain power, the expression 3x2+2x is a polynomial.
A polynomial is a mathematical formula that involves only the operations addition, subtraction, multiplication, and powers of positive integers of the variables and is composed of coefficients and indeterminates.
A polynomial term, a series term, or an expression's multiplicative factor is known as a coefficient in mathematics. In addition to being any statement, it is frequently a number. If the coefficients are variables in and of themselves, they may also be known as parameters.
The fact that the above phrase 3x2+2x contains a variable makes it a polynomial. The power of that variable is likewise increased. The mathematical expression that results becomes a polynomial.
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What is the exponent 3 called?
The exponent 3 is called the power or index. It is the number that indicates how many times the base number (in this case 3) is multiplied by itself.
To determine this
For example, 3³ means 3 multiplied by itself 3 times, or 3 x 3 x 3 = 27. So 3 is the base number and 3 is the exponent or power.
In mathematical notation, the exponent is written as a small number or variable above and to the right of the base number, with a caret symbol (^) separating them. For example, 3³ is written as 3³, and x² is written as x².
Additionally, in mathematics, exponents are also used to represent the number of times a number is multiplied by itself, the exponent number represents how many times the number is being multiplied.
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Your school hope to collect 335 tshirts for the Salvation Army. 134 tshirts were donated the first week and 48 more were donated the second week how many shirt must be donated this week to meet your goal
Answer:
134 + 48 = 182
182 + x = 335
x = 153
Answer:
153
Step-by-step explanation:
335-134=201
201-48=153
NEES ASAP check picture
Answer:
A
Step-by-step explanation:
Your answer was correct.
Which expression is equivalent to (st)(6)?
s(t(6))
s(x) × t(6)
s(6) × t(6)
6 × s(x) × t(x)
Answer: The expression (st)(6) means to substitute the value of 6 into the function (st) which is the composition of two functions s and t. The order of applying the functions is crucial, so the first function s will be applied to the result of the second function t after being applied to the 6. So the correct equivalent of (st)(6) is s(t(6))
Step-by-step explanation: