When subtracted -2a+7b=-5 from the other equation so the b-terms become opposites, we get 2a -7b = 5 as the result.
What is equation?In mathematics, an equation is an expression or a statement made up of two algebraic expressions with the same value that are separated by the equal sign. It is a mathematically quantified version of an otherwise expressed statement. Equations can take many different forms. Equations are used to compare two expressions.
To Subtract -2a+7b=-5 from the other equation so the b-terms become opposites, we need to make +7b to -7b
This is only possible when the other term has 14,
Lets solve
2a + 7b = - 5
- 4a + 14b = -10
-2a -7b = 5
Thus, when subtracted -2a+7b=-5 from the other equation so the b-terms become opposites, we get 2a -7b = 5 as the result.
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find the area of a rectangular garden with side length of 4x+11 and 2x+5
find the perimeter of the garden in the problem
Answer:
just ask your teacher for clarification, then you will actually learn...
Lauren throw a ball with an initial velocity of 40 feet per econd. The equation for the of the ball i h =- 16t? 40t 5, where h repreent the height in feet and t repreent the time in econd. When will the ball reach a height of 3 feet?
The ball will reach a height of 3 feet at t = 5/4 seconds.
To find the time (t) when the ball reaches a height of 3 feet, we need to use the equation for the height of the ball: h = -16 [tex]t^2[/tex] + 40t + 5
We are given that the height of the ball is 3 feet, so we can set up the equation:
3 = -16[tex]t^2[/tex] + 40t + 5
Then we can solve for t by isolating t on one side of the equation and then solving for t:
3 = -16[tex]t^2[/tex] + 40t + 5
-5 = -16[tex]t^2[/tex] + 40t
16[tex]t^2[/tex] - 40t - 5 = 0
We can factor the left side of the equation:
(4t - 5)(4t + 1) = 0
So we have two possible solutions:
t = 5/4 or t = -1/4
However, the time cannot be negative, so the only valid solution is t = 5/4.
So the ball will reach a height of 3 feet at t = 5/4 seconds.
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Find the value of x. Assume that segments that appear to be tangent are tangent.
Assuming segments that appear to be tangent are tangent, sqrt(277) = x has an estimated value of 16.64331698.
what is Pythagoras theorem ?The Pythagorean Theorem, often referred as the Mathematics, is the fundamental Euclidean geometry relationship among the three sides of a right triangle. The area of a squares with the equilateral triangles side is the sum of the surfaces of square with the other two sides, according to this rule. The Pythagorean Theorem says that the square that spans a right triangle's hypotenuse opposite the perfect angle equals the sum of the squares that span its sides. It is sometimes written as the generic algebra notation a2 + b2 = c2.
given
14 is tangent to the circle and 9 is a radius, making this a right triangle.
In order to resolve this issue, we can employ the Pythagorean theorem.
a^2 +b^2 =c^2
9^2+14^2 =x^2
81+196 = x^2
277 = x^2
Taking the square root of each side
sqrt(277) = sqrt(x^2)
sqrt(277) =x
Assuming segments that appear to be tangent are tangent, sqrt(277) = x has an estimated value of 16.64331698.
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Is 8 15 17 a right angle triangle?
No, 8 15 17 is not a right angle triangle. A right angle triangle is a triangle in which one of the three angles is equal to 90 degrees.
To determine if a triangle is a right angle triangle, we can use the Pythagorean theorem. This states that in a right angle triangle, the sum of the squares of the two shorter sides (a and b) will equal the square of the longest side (c).
In this case, the length of the sides are 8, 15 and 17. We can calculate the sum of the squares of the two shorter sides, which is 8² + 15² = 144 + 225 = 369. However, the square of the longest side (17²) is 289. Since 289 is not equal to 369, this means that 8 15 17 is not a right angle triangle.
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A cleaning company charges a fixed amount for a house call and a second amount for each room it cleans the total cost to clean six rooms is $250 and the total cost to clean eight rooms is $320 how much would this company charge to clean two rooms
The cleaning company would charge $150 for cleaning two rooms according to the fixed charges.
What is fixed amount?A fixed amount is a fixed amount or amount established by agreement or contract. This amount is usually a specified amount, does not change over time, and is usually paid on demand or by a certain date. Fixed amounts are commonly used in loans, insurance, and other financial contracts.
This cost is calculated by dividing the difference between the total cost of 6 and 8 rooms by the number of rooms cleaned (6 - 2 or 4).
= ($250 - $320)/4
= $40
This will give you a price of for each additional room.
To calculate the cost of two rooms, simply add the fixed amount of the home visit and double the cost ($40) for each additional room. That's a total of $150 for two rooms.
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Does there seem to be a relationship between which type of book her friends like best and the number of books they read this month?
Based on the two-way table, there seems to be a relationship between the type of books Julia's friends like best and the number of books they have read this month, A. Yes, because those who like fiction read one book at a rate four times that of those who read non-fiction books.
What is a two-way table?A two-way table, also called a contingency table, is a statistical table that shows the observed frequency for two variables.
The rows of a two-way table indicate one category and the columns indicate the other category.
For instance, based on the two-way table, one can observe that 80% of Julia's friends prefer fiction while 20% prefer non-fiction.
Among those who read 1 book this month, 80% read fiction against 20% who read non-fiction. Similarly, among those who read 2 books this month, the same 80% read fiction against 20% who read non-fiction.
The number of students who prefer fiction = 60
The number of students who prefer non-fiction = 15
The number of fiction-preferring students who read 1 book this month = 40, which is 80% of the total (40/50 x 100).
The number of fiction-preferring students who read 2 books this month = 20, which is 80% of the total (20/25 x 100).
Thus, we can conclude that Option A is correct.
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Question Completion:The Two-way Table:
Read 1 book Read 2 books Total
Prefer fiction books 40 20 60
Prefer non-fiction books 10 5 15
Total 50 25 75
Brendan is an hourly worker. During a week's pay period, he worked the following hours and minutes: Day Hours Minutes Monday 8 45 Tuesday 7 52 Wednesday 8 0 Thursday 9 36 Friday 8 24 Using the quarter-hour method, how many total hours did Brendan work that week
The total hours did Brendan work that week is 669.86.
How to calculate how many hours Brendan work that week?A finite collection of symbols that are properly created in line with context-dependent criteria is referred to as an expression, sometimes known as a mathematical expression. Operations include addition, subtraction, multiplication, and division.
The collection of mathematical symbols that emerges from the right arrangement of numbers is known as a mathematical expression and variables using operations like addition, subtraction, multiplication, division, exponentiation, and other as-yet-unlearned operations and functions.
The three different types of algebraic expressions are monomial, binomial, and polynomial.
The total hours did Brendan work that week is 669.86.
The complete question is: Brendan is an hourly worker and earns $15.25/hour. During a week's pay period, he worked the following hours and minutes:
Day Hours Minutes
Monday 8 45
Tuesday 7 52
Wednesday 8 0
Thursday 9 36
Friday 8 24
Using the hundredth-hour method, what is Brendan's gross pay for the week? The employer pays overtime for all time worked in excess of 40 hours per week.
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someone help me
Plsss
Answer:
Step-by-step explanation:
oh thats easy its 2
A parallelogram has three of its vertices at $(-1,0)$, $(2,4)$ and $(2,-4)$. What is the positive difference between the greatest possible perimeter and the least possible perimeter of the parallelogram
The difference in perimeters is 6.
We have 3 possible points for the last vertex.
These are
[ -1 + 2 , 0 + 4 ] - [ 2 , -4 ] = [ [ 1 , 4] - [2 , - 4 ] = ( -1, 8 )
The perimeter of this parallelogram = [tex]2 [ \sqrt{(-1-2)^{2} + (8-4)^2]} + 8][/tex]
= [tex]2 [ \sqrt{9+16}+ 8 ][/tex]
= 2 [ 5 + 8 ]
= 26
Another possible point is
[ 2 + 2, 4 - 4] - [-1,0] = [ 4, 0] - [ -1,0] = (5,0)
The perimeter of this parallelogram
= [tex]2 [ \sqrt{(5-2)^{2} +(0-4)^{2} } + \sqrt{(2+1)^{2}+ (4-0)^{2} } ][/tex]
= [tex]2 [ \sqrt{3^{2}+ 4^{2} } + \sqrt{3^{2}+ 4^{2} }][/tex]
= [tex]2(\sqrt{25} +\sqrt{25})[/tex]
= 2(5 + 5)
= 20
The third feasible point won't change either the largest perimeter of 26 or the smallest perimeter of 20; therefore, we don't need to calculate it.
Difference = 26-20
= 6
Hence, the difference in perimeters is 6.
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What is the product of the factors 8.075 * 0.08
im not that smart guys
please
Answer: 0.640
Step-by-step explanation:
Multiply in your calculator
Can someone answer one of my questions for once 50 pts
x=12
Step-by-step explanation:L||M means L will be parallel to M.
Two lines are parallel if their corresponding angles are the same.
Corresponding angles are shown below.
As the two angles given are corresponding, L||M when x+5 = 2x-7.
x+5 = 2x-7
x = 12
Therefore, the value of x which makes L||M is 12.
Answer:
x = 12
Step-by-step explanation:
Now we have to,
→ find the required value of x.
Forming the equation,
→ x + 5 = 2x - 7
Then the value of x will be,
→ x + 5 = 2x - 7
→ x - 2x = -7 - 5
→ -x = -12
→ [ x = 12 ]
Hence, the value of x is 12.
Mrs. Knight is saving money for a trip. She already has some money saved in 1 point
her savings account and will add the same amount to her account each
week. At the end of 2 weeks, she has $130. At the end of 8 weeks, she has
$280. Write a linear function to represent the amount of money (y)
Mrs. Knight has saved after x weeks
The equation of line is given by y = 25x + 80.
What is an equation of a line?The equation of a line is expressed as y = mx + b where m exists the slope and b exists the y-intercept
y - y₁ = m ( x - x₁ )
Where, y be the y-coordinate of second point
y₁ be y-coordinate of point one
m be the slope
x be the x-coordinate of second point
x₁ be the x-coordinate of point one
Let the equation of slope m be
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Equation of line be represented as A
The two points are given as A ( 2 , 130 ) and B ( 8 , 280 )
The slope of the line between the two points exists given by
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 280 - 130 ) / ( 8 - 2 )
simplifying the above equation, we get
m = 150 / 6
m = 25
Now , the equation of line is given by
y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 130 = 25 ( x - 2 )
On simplifying the equation , we get
y - 130 = 25x - 50
Adding 130 on both sides , we get
y = 25x + 80
The equation is of the form y = mx + b where b is the y intercept.
Therefore, the equation of line is given by y = 25x + 80
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The equation of line is given by y = 25x + 80, this represent the linear function between the amount of money and the saved amount.
What is an equation of a line?The equation of a line is expressed as y = mx + b where m is called the slope and b is called the y-intercept
y - y₁ = m ( x - x₁ )
Where, y be the y-coordinate of second point
y₁ be y-coordinate of point one
m be the slope
x be the x-coordinate of second point
x₁ be the x-coordinate of point one
Let the equation of slope m be
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Equation of line be represented as A
The two points are given as A ( 2 , 130 ) and B ( 8 , 280 )
The slope of the line between the two points exists given by
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 280 - 130 ) / ( 8 - 2 )
simplifying the above equation, we get
m = 150 / 6
m = 25
Now , the equation of line is given by
y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 130 = 25 ( x - 2 )
On simplifying the equation , we get
y - 130 = 25x - 50
Adding 130 on both sides , we get
y = 25x + 80
The equation is of the form y = mx + b where b is the y intercept.
Therefore, the equation of line is given by y = 25x + 80
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What is the distance between -6 1/3 and 4 5/12
[tex]10\frac{1}{12}[/tex] is the distance between [tex]-6\frac{1}{3}[/tex] and [tex]4\frac{5}{12}[/tex]
What is Distance?The length along a line or line segment between two points on the line or line segment.
Distance=√(x₂-x₁)²+(y₂-y₁)²
We need to find the distance between [tex]-6\frac{1}{3}[/tex] and [tex]4\frac{5}{12}[/tex]
The given fractions are mixed fractions we have to convert them to improper fractions
[tex]-6\frac{1}{3}[/tex] =-17/3
[tex]4\frac{5}{12}[/tex] =53/12
Now we have to find the difference
53/12-(-17/3)
53/12+17/3
53+68/12
121/12
[tex]10\frac{1}{12}[/tex]
Hence, [tex]10\frac{1}{12}[/tex] is the distance between [tex]-6\frac{1}{3}[/tex] and [tex]4\frac{5}{12}[/tex]
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How to list the sides of a triangle in order from shortest to longest?
To list the sides of a triangle in order from shortest to longest, you can follow these steps - Measure the length of each side of the triangle using a ruler or measuring tape. Then, write down the lengths of each side in a list. Sort the list in ascending order. The shortest side will be at the top of the list, and the longest side will be at the bottom.
A triangle is a polygon with three sides. By the property of a triangle which is the sum of any two sides of a triangle is greater than the third side. This property is known as the "Triangle Inequality Theorem".
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Can you help me with this
Answer: slope=2
Step-by-step explanation:
using y=mx+b, we know the equation of the line is y=2x. The slope is the m term so we know that the slope is 2.
Forty-five students and parents attended a career fair on Tuesday. The number of students that attended was 5 more than twice the number
of parents in attendance. Write a system of equation to model the situation.
Answer:
p + s = 45
s = 2p + 5
Step-by-step explanation:
Let s = number of students.
Let p = number of parents.
p + s = 45
s = 2p + 5
FIND THE VALUE OF EACH EXPONENTIAL NOTATION COLOR THE CORRECT ANSWER THROUGH NAVIGATING THE EXPONENT MAZE. (PA HELP NAMAN GUYS)
The complete maze pattern is shown below.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.An exponent refers to the number of times a number is multiplied by itself.Given is an exponent maze.
We can complete the maze as -
START HERE →→ 3³ → → 9 →→ 1³ →→ 1 →→ 9² →→ 81 →→ 4³ →→ 64 →→ 2⁵ →→ 32 →→ 11² →→ 121 →→ 8² →→ 64 →→ 15³ →→ 3375 →→ 13² →→ 169 →→ 2⁴ →→ 16 →→ 10² →→ 100 →→ 2³ →→ 8 →→ 6⁴ →→ 1296 →→ 12² →→ 144 →→ 3³ →→ 27 →→ YOU MADE IT.
Therefore, the complete maze pattern is shown above.
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Evaluate the expression when x=3
, y=−4
, and z=−6
.
z−2xy=
z
−
2
x
y
=
The evaluation of the expression z − 2xy when x = 3, y = -4 and z = -6 is 18
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
Expression: z − 2xy
Values: x = 3, y = -4 and z = -6
Substitute the known values in the above equation, so, we have the following representation
z − 2xy = -6 - 2 * 3 * -4
Evaluate the products
This gives
z − 2xy = -6 + 24
Evaluate the like terms in the equation
So, we have the following representation
z − 2xy = 18
Using the above as a guide, we have the following:
The solution is 18
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The four-digit numeral $3AA1$ is divisible by $9$. What digit does $A$ represent?
The digit A stands for 7 when the four-digit number is divisible by 9 and is given by 3AA1.
Characteristics of numbers that divide by 9A number is divisible by 9 if the sum of its digits is also 9-divisible.
Numbers that are 9 - divisible are also called multiples of 9. Multiples in mathematics are the outcomes of multiplying an integer by a certain number.
Using the aforementioned attribute, we can say
3 + A + A +1 = 9, 18, or 27
4 + 2A = 9, OR 18, OR 27
taking 18
2A = 18 - 4
2A = 14
A = 7
Because of this, the whole digits are 3771
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If 7 is an element in the domain of f(x)= 6x-18/2, what is the corresponding element in the range?
The corresponding element in the range when 7 is an element in the domain is f(7)=33
Step-by-step explanation:
Given that the 7 is an element in the domain of f(x)
The function f is defined by f(x)=6x-18/2
To find the corresponding element in the range:
That is put x=7 in the given function f(x)
Therefore f(x) becomes
f(7) = 6(7)-18/2
=42-18/2
=42-9
=33
Therefore corresponding element in the range when 7 is an element in the domain is f(7)=33
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find the real solutions to the equation 3,888=3h^4
Answer:
[tex]h=\pm6[/tex]
Step-by-step explanation:
[tex]3h^4=3888\\h^4=1296\\h=\pm6[/tex]
What does y 3x 3 look like on a graph?
On a graph, y 3x 3 would be a line that is 3 units below the line y = 3x. It would have the same slope but lower y-intercept.
To graph y 3x 3, we can first graph y = 3x. To do this, we can pick any two points along the line and plot them. For example, if we choose (0,0) and (1,3), the line would look like this:
(0,0) -------------------------- (1,3)
Now, to graph y 3x 3, we want to move the line 3 units down. Therefore, the new points that we plot should be (0,-3) and (1,0). The graph should look like this:
(0,-3) -------------------------- (1,0)
This line is 3 units below the line y = 3x. It has the same slope, but a lower y-intercept.
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In Scrabble, there are a certain number of each of the vowel: A-9, E-12, I-9, O-8, U-4. You decided to place only the vowel in a bag to conduct an experiment of drawing and replacing the letter back in the bag. The experiment' outcome wa a follow:
E, I, A, E, E, A, I, O, U, U, A, A, O, O, E
Which vowel' theoretical probability wa cloet to the experimental probability?
A and E are the vowels that theoretical probability was closet to the experimental probability.
The probability is 0.1685%
Probability:
Probability defines the probability of an event occurring. There are many real world situations where we need to predict the outcome of an event. We may or may not be certain about the outcome of an event. In such cases, I say that this event may or may not occur. Probability in general has excellent applications for making probability-based predictions in games and economics, and it also has widespread applications in this emerging field of artificial intelligence. The probability of an event can be calculated by simply dividing the number of favorable outcomes by the total number of possible outcomes using the probability formula. The value of the probability that an event will occur can range from 0 to 1. This is because the preferred number of outcomes can never exceed the total number of outcomes. Also, the resulting favorable number can never be negative. The formula for calculating the probability of a
event is:
probability (event) = favorable outcome/total outcome
Now,
According to the Question:
N vowels = N(A) + N(E) + N(I) + N(O) + N(U)
=9 + 12 + 9 + 8 + 4
=42
The total number of letters is:
1×5+2×10+3×1+4×4+6×3+8×1+9×2+12×1=100
This is because dragging the tile reduces the number of vowels and the total number of letters.
p =42×41×...×36100×99×...×94
= 5916335104300
≈ 0.1685%
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If pentagon OPQRS is dilated by a scale factor of from the origin to create O'P'Q'R'S', what is the ordered pair of point S'
Option (D) that is (3.5, 8.75) is the ordered pair of point S.
What is ordered pair?An ordered pair is a composite of the x coordinate (abscissa) and the y coordinate (ordinate), with two values expressed between parenthesis in a predetermined order. It aids visual comprehension by locating a point on the Cartesian plane. An ordered pair's numeric values can be integers or fractions. Two variables are frequently represented by ordered pairs. We mean x = 7 and y = -2 when we write (x, y) = (7, -2). The x-coordinate is the number that corresponds to the value of x, and the y-coordinate is the number that corresponds to the value of y.
Here,
The ordered pair of point S is option (D), which is (3.5, 8.75).
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Complete question: Pentagon OPQRS is shown on the coordinate plane below:
Pentagon OPQRS on a coordinate plane with ordered pairs at O negative 1, 2, at P negative 5, 3, at Q negative 3, negative 2, and R 2, 1, at S 2, 5.
If pentagon OPQRS is dilated by a scale factor of seven over four from the origin, to create O’P’Q’R’S’, what is the ordered pair of point S’?
Select ALL the correct answers.
Consider the graph of function g below.
Determine which sequences of transformations could be applied to the parent function f(x) = x to obtain the graph of g.
-reflect over the y-axis, vertically stretch by a factor of 3, and then shift down 1 unit
- shift down 1 unit, reflect over the x-axis, and then vertically stretch by a factor of 3
-shift right 1 unit, reflect over the x-axis, and then vertically stretch by a factor of 3
-shift left 2 units, reflect over the x-axis, and then vertically stretch by a factor of 3
-shift right 1 unit, reflect over the y-axis, and then vertically stretch by a factor of 3
-reflect over the x-axis, vertically stretch by a factor of 3, and then shift down 1 unit
The sequences of transformations could be applied is
reflect over the y-axis, vertically stretch by a factor of 3, and then shift down 1 unitshift right 1 unit, reflect over the y-axis, and then vertically stretch by a factor of 3What is Transformation?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.
From the picture we have, g(x) = -3x - 1
Parent function: f(x) = x
1) Reflect over the y-axis gives g(x) = -x
Vertically stretch by a factor of 3 gives g(x) = -3x
Shift down 1 unit gives g(x) = -3x - 1
2) Shift left 2 units: g(x) = x+2
Reflect over x-axis: g(x) = -x-2
Vertically stretch by a factor of 3 gives g(x) = -3x -6
3) Shift right 1 unit: g(x) = x-1
Reflect over the y-axis: g(x) = -x-1
Vertically stretch by a factor of 3: g(x) = -3x -3
4) Shift right 1 unit: g(x) = x-1
Reflect over the x-axis: g(x) = -x+1
Vertically stretch by a factor of 3: g(x) = -3x +3
5) Reflect over the x-axis: g(x) = -x
Vertically stretch by a factor of 3: g(x) = -3x
Shift down 1 unit: g(x) = -3x - 1
6) Shift down 1 unit: g(x) = x - 1
Reflect over the x-axis: g(x) = -x + 1
Vertically stretch by a factor of 3: g(x) = -3x + 3
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HELP MEEEEEEEE PLEASEEEEEEEE
Answer: 75p
Step-by-step explanation:
So, if one kilogram of bacon is £1.50, then half a kilogram would cost half of that, so 75p
An apple weighs 0.2 lb. A bag of apples contains 12 apples of this
same weight. If these apples sell for $2.10 per pound, how much
will a bag of 12 apples cost? Round off to the nearest cents.
12 apples = _____ pounds
$___ for the bag of apples
pounds
Answer:
Step-by-step explanation:
3.00
Can you help me with this
==========================================================
Explanation:
Pick any two points on the line to apply the slope formula.
I'll select (-5,1) and (5,-1)
[tex](x_1,y_1) = (-5,1) \text{ and } (x_2,y_2) = (5,-1)\\\\m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{\text{y}_{2} - \text{y}_{1}}{\text{x}_{2} - \text{x}_{1}}\\\\m = \frac{-1 - 1}{5 - (-5)}\\\\m = \frac{-1 - 1}{5 + 5}\\\\m = \frac{-2}{10}\\\\m = -\frac{1}{5}\\\\[/tex]
The slope as a fraction is -1/5
A slope of -1/5 means " go down 1, then to the right 5 units".
An example of this motion is when going from (-5,1) to (0,0)
Another example would be going from (0,0) to (5,-1)
----------
The "down 1, right 5" motion is because
slope = rise/run = -1/5rise = -1 = go down 1run = 5 = go to the right 5Please provide step by step and answer what x and y is.
Answer:
Step-by-step explanation:
x=11
y=14
Which statement best describes the function?
A. The function is negative when x<0
B.the function is negative when x<0 and when x>0
C. The function is never negative
D. The function is negative when x>0
Therefore ,Because the function lies above the x-axis for values of x > 0, it is positive. So, choice D is the right one.
What is function?Each x value in the domain has one but only one y value
range, according to the rule of a function. Definition. If there is only one and only one value of x such that f(x) = y, then the function is one-to-one.
Here,
It is discovered that the right answer is provided by: D using function ideas. If x is zero, the function is negative.
The graph is positive if it is located above the x-axis.
A negative graph is one that is located below the x-axis.
The graph of the function in this issue is shown by the red line, and:
The function is negative for x values less than 0 since it is below the x-axis.
Therefore ,Because the function lies above the x-axis for values of x > 0, it is positive. So, choice D is the right one.
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