The slope of the function as a unit rate for the linear situation. y = [tex]-4\frac{4}{5}[/tex]x + [tex]13\frac{1}{2}[/tex] can be viewed as [tex]-4\frac{4}{5}[/tex] by taking the derivative of the first term of the equation.
What is the slope of a function?The slope m=y/x of a straight-line y=mx+b quantifies the change in y for every unit change in x. This can also be interpreted as a kind of measure of "sensitivity''.
Finding the slope of a function is like finding the rate at which the value of y (the dependent variable) changes in relation to x is what this method entails (independent variable).
How to find the slope of a function?To find the slope of a line that is given with the equation of the line, first you have to write the equation of the line in a slope-intercept form.
Then use inverse operations in order to solve for y so that it is written as y=mx+b. Thereafter you can easily spot the slope since the slope is the coefficient of the x variable, or in other words, the number in front of x.
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The diagram shows the layout of Mandy’s garden. The garden is the shape of combined rectangles.what is the area of the garden
A ball thrown horizontally from an apartment balcony hits the ground in 5 seconds. if the horizontal velocity of the ball is doubled, how long will it take to hit the ground? a. 2.5 seconds b. 5.0 seconds c. 7.5 seconds d. 10 seconds e. 12 seconds
Still 5 seconds.
(Assuming the Earth around that building is flat.
Plssss help with this question
Answer:
[tex](-5y^4+4y^3)+(3y^2-2y)[/tex]
Write an equation that represents the line.
Use exact numbers.
A car rental advertised a car for $27.95 per day and $0.26 per mile. If someone rents the car for 4 days how many whole miles can he drive in a $150 budget
(Round down to the nearest whole mile)
The number of miles he/she can drive with a budget of 150 dollars is 469 miles.
How to find the number of miles he can drive?The car rental advertised a car for $27.95 per day and $0.26 per mile.
If someone rents the car for 4 days and he has a budget of 150 dollars, the number of miles he can drive can be calculated as follows:
The equation used to represent the situation is as follows:
let
x = number of miles drove
Therefore,
150 = 27.95 + 0.26x
subtract 27.95 from both sides of the equation
150 - 27.95 = 27.95 - 27.95 + 0.26x
0.26x = 122.05
divide both sides by 0.26
x = 122.05 / 0.26
x = 469.423076923
x = 469 miles
Therefore, the number of miles he can drive is 469 miles.
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PLEASE HELP
Find the converse and determine if it is true or false.
Statement: Obtuse angles are not right angles.
Response: Converse: If an angle is not a right angle, then it is obtuse. True.
Answer:
Obtuse angle is not a right angle
Obtuse angle are angles between 90° and 180°
Determine the range of f(x) = |x| − 4. {y | −∞ < y < ∞} {y | −4 ≤ y < ∞} {y | 0 < y < ∞} {y | 4 < y < ∞}
The range of the function f(x) = |x| − 4 is {y | −4 ≤ y < ∞}.
Given the function is: f(x) = |x| − 4
first find the domain of the function.
A function's domain and range are its constituent parts. A function's range is its potential output, whereas its domain is the set of all possible input values.
domain= (−∞,∞)
Then, range is he set of all representations of domain elements or the set of all function outputs constitutes the range of the function f.
range = {y | −4 ≤ y < ∞}.
Hence we get the range of the function as {y | −4 ≤ y < ∞}.
.
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in a city, building P is 455 feet taller than two times the height of building Q. the height of building P is 879 feet. what is the height of building Q
Answer:
212 ft
Step-by-step explanation:
[tex]455+2Q=879 \\ \\ 2Q=424 \\ \\ Q=212[/tex]
How many miles would it take for an airplane to travel from Portugal to the United States?
Answer:
The total flight duration from the United States to Portugal is 9 hours and 41 minutes.
Step-by-step explanation:
The distance between Portugal and United States is 4680 miles. The fastest way to get from Portugal to the United States is to fly. Taking this option will cost €220 - €1500 and takes 10h 29m. The distance between Portugal and United States is 4680 miles.
find slope of the line for (-2,-3) (4,-3)
Hello !
Answer:
[tex]\Large\boxed{\sf Slope\ =0}[/tex]
Step-by-step explanation:
Considering two points [tex]\sf A(x_A, y_A)[/tex] and [tex]\sf B(x_B, y_B)[/tex], the slope of the line that passes through A and B is given by [tex]\sf m=\frac{y_B-y_A}{x_B-x_A}[/tex].
Given :
A(-2,-3)B(4,-3)Now we can calculate the slope with the previous formula :
[tex]\sf m=\frac{-3-(-3)}{4-(-2)}[/tex]
[tex]\sf m=\frac{0}{6}[/tex]
[tex]\boxed{\sf m=0}[/tex]
The slope of the line is 0.
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Have a nice day
Help with this problem please :)
The value of the unknown angle is as follows:
m∠BGF = 80 degreesHow to find angles?An angle bisector or the bisector of an angle is a ray that divides an angle into two equal parts
Therefore, CH bisects ∠GCD.
Therefore, it divide ∠GCD into two equal halves.
GC bisect ∠BGD.
Therefore, it divides ∠BGD into two equal halves.
Hence,
m∠BGC = m∠CGF
Therefore,
m∠BGC = 7x - 2
m∠CGF = 8x - 8
7x - 2 = 8x - 8
7x - 8x = -8 + 2
-x = -6
x = 6
Therefore,
m∠BGF = 7x -2 + 8x - 8
m∠BGF = 15x - 10
m∠BGF = 15(6) - 10
m∠BGF = 90 - 10
Therefore,
m∠BGF = 80 degrees
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The record for the most rolls of wrapping paper sold for the school fundraiser is 593. Let w be the number of rolls of wrapping paper sold.
Which inequality represents the numbers that would beat the school record?
The required inequality would be w > 593 which represents the numbers that beat the school record, where w is the number of rolls of wrapping paper sold.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
We have been that 593 rolls of wrapping paper set the record for the most rolls ever sold at a school fundraiser.
Let w be the number of rolls of wrapping paper sold.
As per the given condition, the required inequality would be as :
⇒ w > 593
Therefore, the required inequality would be w > 593 which represents the numbers that beat the school record.
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what is the domain for f: y=4 x^(2)+12 x-5
The domain of the function f(x) = 4 · x² + 12 · x - 5 is the set of all real numbers.
How to determine the domain of a polynomic function
Functions are characterized by three features:
Domain - The input of all values of x such that the function f(x) exists.Range - The output of all values of y associated with the function f(x).Relations - Relations between the input and output sets.In this problem we need to find the set of all x - values of the polynomic function described in the statement. According to function theory, polynomials are continuous and their domain are always the set of all real numbers.
The domain of the polynomic function is the set of all real numbers.
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2) I read 120 pages yesterday and 132 pages today.
85 pages were left to read.
O How many pages did I read yesterday and today?
Answer:
A total of 252 pages
Step-by-step explanation:
In other words, 120 pages of a book were read yesterday and 132 pages of a book were read today. There are still 85 pages left to read in order to finish the book.
This word problem may seem tricky because it throws in the “85 pages left to read”, but you don’t have to pay attention to that because all the actual question is asking is for you to add the number of pages you already read.
To figure out how many pages were read in total, you must add.
So, 120 + 132 = 252
To do this addition problem mentally:
1. Add the 100s place, so 100 + 100 = 200
2. Add the 10s place, so 20 + 30 = 50
3. Add the 1s place, so 0 + 2 = 2
4. Add up all the sums that you got, so 200 + 50 + 2 = 252
You read 120 pages yesterday and 132 pages today. The values are correct.
What is an expression?An expression is a grouping of one or more mathematical or logical operators, operands (values, variables, or other expressions), and brackets in mathematics and computer programming that denote a computation that can be evaluated to generate a value.
Let x be the number of pages that you read yesterday, and let y be the number of pages that you read today.
From the problem, we know that:
x + y = 120 + 132 (the total number of pages you read over the two days)
x + y + 85 = total number of pages in the book
We can simplify the second equation by combining like terms:
x + y + 85 = total number of pages in the book
x + y = total number of pages in the book - 85
We can substitute the first equation into the second equation to eliminate x + y:
120 + 132 = total number of pages in the book - 85
252 = total number of pages in the book - 85
total number of pages in the book = 252 + 85 = 337
Now we can substitute this value for the total number of pages in the book into the first equation to solve for x and y:
x + y = 120 + 132
x + y = 252
We can solve for one variable in terms of the other by subtracting y from both sides:
x = 252 - y
Now we can substitute this expression for x into the equation x + y = 252 and solve for y:
252 - y + y = 252
y = 132
So you read 120 pages yesterday and 132 pages today.
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Simplify 5x(- 4y)+ 3x(— Зу
Answer
- 29xy
Step-by-step explanation:
5x(- 4y) = - 20xy
3x(- 3y) = - 9xy
- 20xy + - 9xy = - 29xy
Graph each equation by using the x and y intercepts
Question 3: 1.5x+3y=9
133g =__oz
What the answer I need help
Answer:
4.69144 oz
Step-by-step explanation:
need help on this, thanks
Answer:
m<1 = 159˚
m<2 = 21˚
m<4 = 21˚
Step-by-step explanation:
Angle one is a vertical angle to angle 3 so they have the same angle. Angle 2 and 4 are adjacent angles to angle 3, so they are supplementary angles with angle 3, which 180-159 = 21˚.
PLEASE HELP
Solve negative a minus four sevenths equals two thirds for a.
a equals negative 26 over 21
a equals 26 over 21
a equals negative 2 over 21
a equals 2 over 21
Value of 'a' for the given statement the negative a minus four sevenths equals two thirds for a after solving is equal to negative 26 over 21.
As given in the question,
Given statement :
Negative a minus four sevenths equals two thirds for a
Represent the statement in equation form :
-a -(4 / 7) = ( 2 / 3 )
Solve by adding both the side ( 4 / 7 ) we get,
-a - (4 /7) + (4 /7) = (2/3) +(4/7)
⇒ -a = (2/3) + (4/7)
least common multiple of 3 and 7 is 21.
-a = ( 14 /21) + (12 /21)
⇒ -a = 26 /21
⇒ a = -26/21
Therefore, value of 'a' for the given statement the negative a minus four sevenths equals two thirds for a after solving is equal to negative 26 over 21.
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the expert answer is wrong
Please help quick!!!
Answer:
D
Step-by-step explanation:
-6 times 3 is obviously -18 and if you type in -6 times -2/3 on a caculator it gives you 4 and its positive because when you times two negatives you get a positive
three more than eight times a number equal to 19
lines k and e are parallel and the measure of angle ABC is 19 degress
Lines k and e are parallel, then the measure of angles are,
∠ABC = 19° and ∠ BCD = 19°
∠ABC = ∠ BCD = 19°
Based on the given conditions,
Lines k and e are parallel
The measure of angle ABC is = 19 degrees
We can see the Image,
∠ABC and ∠ BCD are equal,
Because k and e are parallel
So,
We can write,
∠ABC = ∠ BCD
Then Given condition is,
Angle ABC is 19 degrees
We can write,
∠ABC = 19°
So, ∠ABC = ∠ BCD
Then,
∠ BCD = 19°
Therefore,
Lines k and e are parallel, then the ∠ABC = 19° and ∠ BCD = 19°
∠ABC = ∠ BCD = 19°
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A college student completed some courses worth 3 credits and some courses worth 4 credits. The student earned a total of 65 credits after completing 21 courses
How many 3 credit courses did the student complete?
How many 4 credit courses did the student complete?
Based on the fact that there are courses with 3 credits and 4 credits, with the total that a student can earn being 65 credits, the number of 3 credit courses that the student completed was 19 courses and the number of 4 credit courses was 2 courses.
How to find the number of courses?Assuming that the number of courses worth 3 credits are denoted as x and the number of courses worth 4 credits are denoted by y, the system of equations would be:
3x + 4y = 65
x + y = 21 courses
Using substitution for y gives:
x + y = 21
y = 21 - x
The number of courses with 3 credits is:
3x + 4y = 65
3x + 4(21 - x) = 65
3x + 84 - 4x = 65
84 - 65 = 4x - 3x
1x = 19
x = 19 courses
Number of 4 credit courses is:
= 21 - x
= 21 - 19
= 2 courses
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mrs.shipley ran at a rate of 8.2 miles per hour.how many feet per second is this
Mrs. Shipley moved at a speed of 12.0266 feet per second which was originally expressed in miles per hour.
What does unit conversion mean?The same attribute is expressed using a unit conversion, but in a different unit of measurement. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometers, feet, or any other measurement unit instead of miles.What is feet per second in miles per hour?The miles per hour multiplied by 1.466667 gives the speed in feet per second.
Mrs. Shipley ran at an average speed of 8.2 miles per hour.
These units must be converted into feet/second.
We know that,
1 miles/hour = 1.466667 feet/second
So, 8.2 miles/hour = 8.2 × 1.466667 feet/second
∴ 8.2 miles/hour = 12.0266 feet/second
Therefore, Mrs. Shipley ran at a rate of 12.0266 feet per second, which was originally expressed in miles per hour.
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Solve for the indicated variable for each one.
1.) For a:a+r=t
2) For x: x/2-b=s
Answer: 2(s+b)
Step-by-step explanation:
1) a + r = t
a = t - r
2) x/2 - b = s
x/2 = s + b
x = 2(s + b)
x = 2s + 2b
The points (0,k) and (1,4) fall on a line with a slope of 9. What is the value of k?
Answer:
k = -5
Step-by-step explanation:
Slope of a line is given by
[tex]\dfrac{y_2 - y_1}{x_2-x_1}[/tex]
where (x₁, y₁) and (x₂, y₂) are two points on the line
This is commonly referred to as rise/run
Given two points(0, k) and (1,4) and told that the slope is 9 we get
[tex]9 = \dfrac{4-k}{1-0}\\\\9 = \dfrac{4-k}{1}\\\\9 = 4 -k\\\\\text{Subtract 5 from both sides to get }\\9 - 4 = 4 - 4 - k\\\\5 = -k\\\\ k = - 5\\\\[/tex]
Please hurry!!
simpilfy. m√p + n√p - √p
A. (m+n-1)√p
B. (m-n-1)√p
C. (m-n+1)√p
Answer:
A
[tex]{ \tt{m \sqrt{p} + n \sqrt{p} - \sqrt{p} }} \\ = { \tt{ \sqrt{p} (m + n - 1)}}[/tex]
Answer:
yh it's A the other guy's right
Step-by-step explanation:
4+3x<22 find the solution for the inequlity
Answer:x<6
Step-by-step explanation:
Step-by-step explanation:
4+3x<22
3x<22-4
3x<18
3x÷3<18÷3
x<6
Solve 2x^2 + 31 = 17. The solutions are x= and x=
Answer:
x=±√7
Step-by-step explanation:
2x²+31=17
2x²=31-17
2x²=14
x²=14÷2
x²=7
x=±√7
Chuck is making a salad to go with his soup. The recipe calls for 2.1 cups of lettuce per person and 0.56 ounces of salad dressing per cup of lettuce.
If 11 dinner guests want salad, how many ounces of dressing will be necessary? Round the answer to the nearest whole ounce.
The number of ounces necessary when 11 dinner guests want salad is 104 ounces.
How to illustrate the information?It should be noted that 1 cup = 8 ounces. Therefore, 2.1 cups will be:
= 2.1 × 8 = 16.8 ounces.
The recipe calls for 2.1 cups of lettuce per person and 0.56 ounces of salad dressing per cup of lettuce.
Therefore, if 11 dinner guests want salad, the number of ounces of dressing that will be necessary will be:
= 16.8 × 0.56 × 11
= 104
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