Use the vertical line test to determine whether a graph represents a function or not .
If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is a relation but not a function.
A function can only have one output, y, for each unique input, x. If a vertical line intersects a curve on an xy-plane more than once then for one value of x the curve has more than one value of y, and so, the curve does not represent a function.
what is function?
function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Therefore, a relation which maps a given input to more than one output is not a function, as such, given that the line intercepts the vertical line twice, then for a given value of x, which is the input, there are more than one value of y, which is the output, as such the relation is not a function.
To learn more about Functions
visit : brainly.com/question/11624077
#SPJ9
a parte inferior de una escalera debe colocarse a 3 pies de una pared. La escalera mide 10 pies de largo. ¿Qué tan por encima del suelo toca la escalera la pared?
[tex]\sqrt{10^2 - 3^2}=\boxed{\sqrt{91} \text{ ft}}[/tex]
could someone please help answer this.
Answer:
C.) Equally as distant.
two angles are complementary. The measure of the larger angle is 6 degrees less than 3 times the measure of the smaller angle. The measure of the smaller angle is _______ degrees and the measure of the larger angle is______ degrees
Step-by-step explanation:
complementary means together they are 90°.
x = 3y - 6
x + y = 90
(3y - 6) + y = 90
4y - 6 = 90
4y = 96
y (the smaller angle) = 24°
x (the larger angle) = 3y - 6 = 3×24 - 6 = 72 - 6 = 66°
The total payroll for a baseball team is 2.48 × 109 dollars, and the total payroll for a football team is 2.8 × 1011 dollars. How many more dollars is the football team's total payroll than the baseball team's total payroll?
0.32 × 109 dollars
2.7752 × 109 dollars
2.7752 × 1011 dollars
3.2 × 1011 dollars
Answer: its c
Step-by-step explanation:
The difference between the payroll of football and baseball is 2.7752 × 10¹¹. Hence, option C is correct.
What is an equation?Equations are logical assertions in mathematics that have two algebraic expressions on either side of an equals (=) sign. The expression on the left and the expression on the right is shown to be equal in reference to one another. LHS = RHS (left hand side = right hand side) appears in all mathematical equations. You can solve equations to determine the value of an unknown variable that represents an unknown quantity.
The payroll of the baseball team is 2.48 × 10⁹ and,
The payroll of the football team is 2.8 × 10¹¹.
So, the football team's payroll is more than the baseball team's payroll by,
(2.8 × 10¹¹) - (2.48 × 10⁹)
= 2.7752 × 10¹¹.
To get more information about the equation :
https://brainly.com/question/14686792
#SPJ5
Complete the table. File is attached
P is the point (2, 3) and Q is the point (9, 5).
(a) Find the equation of the line joining PQ.
(b) Find the coordinates of the point where the line PQ intersects the x-axis.
(c) The line y = 5 is the line of symmetry of △PQR. Find the coordinates of R.
(d) Calculate the area of △PQR.
(e) Calculate the length of PQ and hence calculate the perpendicular distance from R to the line PQ.
We get that the equation of the line PQ will be 2 x - 7 y + 17 = 0.
A) We know that the equation of the line is:
y - y₁ = m (x - x₁)
where m = y₂ - y₁ / x₂ - x₁
Now, we have:
P = ( x₁, y₁) = (2, 3)
Q = (x₂, y₂) = (9, 5)
We get m by substituting the values as:
m = 5 - 3 / 9 - 2 = 2 / 7
The equation then will be:
y - y₁ = 2 / 7 (x - x₁)
Substituting the values, we get that:
y - 3 = 2/7 ( x - 2)
7 y - 21 = 2 x - 4
2 x - 7 y - 4 + 21 = 0
2 x - 7 y + 17 = 0
B) When PQ will intersect x-axis, then the point will be = ( x, 0)
2 x - 7 y + 17 = 0
2 x - 7 (0) + 17 = 0
2 x = -17
x = - 17 / 2
Point = (-17 / 2 , 0)
Therefore, we get that the equation of the line PQ will be 2 x - 7 y + 17 = 0.
Learn more about equation here:
https://brainly.com/question/1214333
#SPJ9
Please help! thanks!
Please answer fast..............................................
Answer:
[tex]V=lwh\\\frac{V}{lw} = \frac{lwh}{lw} \\\frac{V}{lw} = h[/tex]
In 2008, the number of digital cameras shipped totaled 186 million. There were 24 million shipped in 2013. Find and
interpret the average rate of change in the number of digital cameras shipped per year.
Step-by-step explanation:
the average change rate for a function g(x) is defined for an interval of x values as
(g(interval end) - g(interval begin))/(interval end - interval begin)
in our case that is
(g(2013) - g(2008))/(2013 - 2008) =
= (24 mil. - 186 mil)/5 = -162 mil./5 =
= -162,000,000 / 5 = -32,400,000
that means that as a mean value there were 32,400,000 digital cameras shipped less every year.
in other words, fewer and fewer digital cameras are sold. the demand is strongly declining.
actually, following the mean values and their trend, there should have been no new digital cameras shipped in 2014 anymore (as 24 mil. - 32.4 mil is less than 0).
Given below are descriptions of two lines.
Line 1: Goes through (1,1) and (-2,7)
Line 2: Goes through (-1,4) and (1,0)
The slope of Line 1 is m =
|
The slope of Line 2 is m =
The slope of Line 1 is m = -2
The slope of Line 2 is m = -2
For Line 1;
(x₁, y₁) = (1, 1);
(x₂, y₂) = (-2, 7);
m₁ = (7-1)/(-2-1) = -2;
For Line 2;
(x₃, y₃) = (-1, 4);
(x₄, y₄) = (1, 0);
m₂ = (4-0)/(-1-1) = -2;
To learn more about this; visit: https://brainly.in/question/49507300
#SPJ9
How do I figure out x and y
Answer:
x = 7, y = 45
Step-by-step explanation:
[tex]7x+13=6x+20[/tex]
[tex]x=20-13\\x=7[/tex]
Angle
[tex]7(7)+13=49+13=62^{0}[/tex]
supplementary angle
180 - 62 = 118°
[tex]3y-17=118[/tex]
[tex]y=\frac{118+17}{3} =135/3=45[/tex]
Hope this helps
What happens to the sum of the ball’s kinetic energy and potential energy as the ball rolls from point A to point E? Assume there’s no friction between the ball and the ground. An image shows a curve that starts at point A, decreases at B, then increases at C and D, and ends at E. A. The sum decreases. B. The sum increases. C. The sum remains the same. D. The sum always equals zero
The sum of the ball's kinetic energy and potential energy remains the same. as the ball rolls from point A to E.( if there is no friction between the ball and the ground).
based on the law of mechanical energy's conservation, the sum of both kinetic and potential energies i.e. the total amount of mechanical energy remain conserved even in the absence of dissipative forces ( friction or air resistance) in a bound system.
the kinetic energy is when ball goes downward but potential energy decreases and reverse happens when ball goes up. but in these case, the sum energy would be constant one.
The ball would not change the energy.
To learn more about kinetic energy
visit-:https://brainly.com/question/12669551
SPJ9
What is the solution of −|t+3| + 3 ≥ −4?
Answer:
[tex]-1t+31 +3 \geq -4[/tex]
[tex]-1t +34 \geq -4[/tex]
[tex]-1t \geq 30[/tex]
[tex]t \geq -30[/tex]
what are the two equations for 2x2−6x−9=0
Answer:
[tex]x=\frac{3\left(1+\sqrt{3}\right)}{2},\:x=\frac{3\left(1-\sqrt{3}\right)}{2}[/tex]
Step-by-step explanation:
[tex]x_{1,\:2}=\frac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:2\left(-9\right)}}{2\cdot \:2} < - InsertQuadraticFormula[/tex]
[tex]x_{1,\:2}=\frac{-\left(-6\right)\pm \:6\sqrt{3}}{2\cdot \:2}[/tex]
[tex]x_1=\frac{-\left(-6\right)+6\sqrt{3}}{2\cdot \:2},\:x_2=\frac{-\left(-6\right)-6\sqrt{3}}{2\cdot \:2} < - Separate THE Solutions[/tex]
[tex]x=\frac{3\left(1+\sqrt{3}\right)}{2},\:x=\frac{3\left(1-\sqrt{3}\right)}{2}[/tex]
Solve for x
|4x + 7| + 9 = 6
Add -9 to both sides.
|4x+7|+9+−9=6+−9|4x+7|=−3Solve Absolute Value.
|4x+7|=−3No solutions. (Absolute value cannot be less than 0.)
Skandar
The sum of two numbers is -316. One number is 94 less than the other. Find the numbers
A local museum charges $25 per adult and $12 per child for admission fees. At the end of a day, the museum made $9,014 in total admission revenue, not including sales tax, and had a total of 450 guests.
The system of equations below can be used to model the number of guests that were children, x, and the number of guests that were adults, y.
First, place a point on the graph representing the solution to the system of equations. Notice that one of the equations in the system has already been graphed.
Then, determine the approximate number of guests that were children and the approximate number of guests that were adults for that day.
The approximate number of guests that were children are 172 and adults are 278
How to determine the approximate number of guests that were children and adults for that day?From the complete question, we have the following system of equations
25x + 12y = 9014
x + y = 450
Make y the subject in x + y = 450
y = 450 -x
Substitute y = 450 - x in 25x + 12y = 9014
25x + 12(450 - x) = 9014
Expand the expression
25x + 5400 - 12x = 9014
Evaluate the like terms
13x = 3614
Divide both sides by 12
x = 278
Substitute x = 278 in y = 450 -x
y = 450 - 278
Evaluate
y = 172
Hence, the approximate number of guests that were children are 172 and adults are 278
Read more about system of equations at:
https://brainly.com/question/14323743
#SPJ1
Brian is buying gifts bags for all of the students in his class. The graph shows the relationship between the number of bags and the cost of the bags. Write an equation relating the number of bags, x, and the cost, y.
An equation that relates the number of bags, x, to the cost, y is y = 5x.
What is an equation?An equation is a mathematical statement that claims that the two sides are equal.
An equation involves two or more variables that require some mathematical operations to obtain their equivalent value.
Therefore, an equation contains numbers, variables, and operators, which show a value after the mathematical operations.
Data and Calculations:Let the number of bags for the class = x (number of students)
Let the unit cost of a bag = $5
Let y = the total cost
Equation, y = 5x
Thus, an equation that relates the number of bags, x, to the cost, y is y = 5x.
Learn more about equations at https://brainly.com/question/2972832
#SPJ1
How to I round this imperfect square √11
Answer: 3.32
Step-by-step explanation:
√11=
3.3166=
3.3166=3.32 ==>When rounding to the hundredth place, if the thousandth's digit is 5 or greater, increase the hundredth's digit by 1.
If we are asked to to find the x-intercept of the graph given its equation, we substitute y = 0 into the equation, because:
The x-intercept is the point where the graph intersects the x-axis and hence the y-coordinate of that point will be 0
The y-intercept will be 0
The x-intercept is the point where the graph intersects the y-axis and hence the y-coordinate of that point will be 0
The x-intercept is always at (0, 0)
Answer:
1st one is the right option
A thermometer in Grand Forks, North Dakota, reads -4.5 °F in January.
The temperature on the same day in February has the same absolute value
as the temperature in January but is not the same temperature. What is
the temperature in February?
According to this the temperature in February = 4.5°F.
What do you mean by absolute value:The absolute value (or modulus) of a real number x is its non-negative value regardless of its sign. For example, 5 has an absolute value of 5, and 5 has an absolute value of 5. A number's absolute value can be conceived of as its proximity from zero along the real number line.
Briefing:The temperature on the same day in February has the same absolute vale as the temperature in the January, but is not the same temperature according to this the temperature in February = 4.5°F.
According to the data:The absolute value is the same but not the same temperature:
|-4.5| = 4.5
So,
Its 4.5°F
According to this the temperature in February = 4.5°F.
To know more about absolute value visit:
https://brainly.com/question/26497616
#SPJ9
Expression for the quotient of twice a number, and the sum of the number and seven
In linear equation , 2n/7 is Expression for the quotient .
What in mathematics is a linear equation?
There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.Let the number = n
A quotient is the result of a division.
the quotient of twice a number = 2n
= 2n/7
Learn more about linear equation
brainly.com/question/11897796
#SPJ9
Solve the equation P = b + a + c for b.
b= ?
Answer:
b= p-(a+c)
Step-by-step explanation:
Susan Marciano invested part of her $12,000 bonus in a fund that paid 8% profit and invested the rest in stock that suffered a 3% loss. Find the amount of each investment if her overall net profit was $300 .
Answer:y=mx+b
Step-by-step explanation:
Answer:
Let x be the amount invested in funds that earned 8%.
Then the amount invested in stock that suffered 3% loss is 18,000 - x.
The profit from investment in funds is 8%x
The loss from investment in stock is 3%(18,000 - x).
The net profit is 8%x - 3%(18,000 - x).
As the net profit given in the problem is $780, we have:
8%x - 3%(18,000 - x) = 780
Step-by-step explanation:
(x³- 3x²+2x+1)/x²-4x+4 dx (dx/dy) + (x²+4y-y²)/(²√4y+y²)
Answer:
y=1 x=1
×[[×[+[[+[+[+[+[+[+[+[+[+[[
a² + 6b when a = -3 and b = 2
Answer:
21
Step-by-step explanation:
Just substitute -3 in for a and 2 in for b
[tex]a^2 + 6b\\-3^2 + 6(2)\\9 + 6(2)\\9 + 12\\21[/tex]
When you square a negative number, the answer is positive. Good luck, and have a great day!
Also, Jesus loves you!!!!
If EF = 5x, FG = 10, and EG = 10x, what is EF?
geometry
If points E,F,G are collinear, then,
EF+FG = EG
5x+10 = 10x
10 = 10x-5x
10 = 5x
5x = 10
x = 10/5
x = 2
So,
EF = 5x = 5*2 = 10EG = 10x = 10*2 = 20As a check, EF+FG = 10+10 = 20 = EG to help confirm the answer
Final Answer: EF = 10Answer:
EF = 10
Step-by-step explanation:
EF = 5x
FG = 10
EG = 10x
Виконайте завдання:
Запишіть речення, підкресліть граматичні основи, визначте односкладні та двоскладні речення.
Тихий прихід осені
У лісі з'явилися жовті фарби. Крони дерев ще зелені. Дивишся під ноги, помічаєш перше опале листя. Тиша. Не чути співу пташок. Пташенята давно вивелись. Гнізда порожні. Ледь чутний шум листя, хруст сухого гілля. Природа чекає на зміни.
Перепишіть прислів'я. Де потрібно, поставте тире між підметом і присудком. Підкресліть граматичні основи.
1. Вірний приятель то найбільший скарб.
2. Розум скарб людини.
3. Вовка боятися в ліс не ходити.
4. Щастя біжить, а нещастя лежить.
Перепишіть і визначте вид односкладних речень (за зразком першого речення).
1. Усі національні культури побудовано на шануванні предків (побудовано - присудок, виражений формою дієслова на -но, -то; речення розповідне, неокличне, односкладне, безособове).
2. За рідний край і життя віддай.
3. Батьків і Батьківщину не вибирають.
4. Сучасне українське мистецтво...
5. Ніколи не можна забувати про мовний етикет.
6. Усі ми не в тім'я биті.
A car is traveling at a speed of 45 kilometers per hour. What is the car's speed in meters per second? How many meters will the car travel in 2 seconds?
Answer:
12.50m/s
in 2 seconds: 25
im not really good at math but i tried
solve for x please
4 / x • 26 / 2
Answer:
x = 3.25
Step-by-step explanation:
Use the Rule of 3 to solve this
Work in picture
