Write the slope intercept form of the line that goes through points (5,6) and (2, 15)
Answer:
[tex]slope \: = \frac{y2 - y1}{x2 - x1 } \\ slope = \frac{15 - 6}{2 - 5} \\ slope = \frac{9}{3} [/tex]
You are pouring 50 pounds of sand into a wagon. The linear function y= 10x represents the weight y (in pounds) of the sand in the wagon after you have poured x bags of sand into the wagon. Which graph represents the situation?
Answer:
You have 50 lb of sand, and you are pouring this into a wagon.
We have the relationship:
y = 10lb*x
Where x is the number of bags of sand that you poured into the wagon.
We know that in total, you have 50 lb of sand, then let's find the domain of this function (Domain is the set of the possible values of x)
The minimum will be when x = 0, you poured 0 bags at this point.
And the maximium will be when y = 50lb
y = 50lb = 10lb*x
50lb/10lb = x = 5
Then the domain is 0 ≤ x ≤ 5
Then we only will graph this in that range of values.
The graph will be something like:
Shannon's rain-catcher has 8 inches of water in it. Each day, 3 inches of water are added to the rain-catcher. Let y represent the total number of inches of water in the rain-catcher after x days. Express the equation in the form of y=mx+b .
Answer:
y= 3x + 8
Step-by-step explanation:
y = mx + b
m = 3 inches of water added each day
x = 8 inches of water at start
y= 3x + 8 is the required equation.
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that, Shannon's rain-catcher has 8 inches of water in it. Each day, 3 inches of water are added to the rain-catcher.
We have,
m = 3 inches of water added each day
x = 8 inches of water at start
Converting in y = mx + b, we get,
y = 3x+8
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Algebra 1
Solve for n.
-1 sn + 12 < 19
Write your answer as a compound inequality with integers.
Answer:
i think the answer is -7/s
Step-by-step explanation:
Let's solve for n.
(−1s)(n)+12<19
Step 1: Add -12 to both sides.
−ns+12+−12<19+−12
−ns<7
Step 2: Divide both sides by -s.
−ns
−s
<
7
−s
n>
−7
s
Answer:
n>
−7
s
Figure A is a scale image of Figure B.
A
11
1
Figure A
10
Figure B
What is the value of x?
9514 1404 393
Answer:
x = 4.4
Step-by-step explanation:
The longer side is 11/10 times the length of the shorter one:
x = (11/10)(4) = 4.4 . . . units
The function P(x) = –0.015x^2 + 1.2x – 11.5 gives the profit, in thousands of dollars, when a company sells a new product at x dollars per unit. Which of the following statements best interprets the average rate of change of this function from x = 50 to x = 55?
The profit increases by $375 for every $1 increase in the selling price.
The profit decreases by $375 for every $1 increase in the selling price.
The profit increases by $1875 for every $1 increase in the selling price.
The profit decreases by $1875 for every $1 increase in the selling price.
Answer:
The profit decreases by $ 375 for every $ 1 increase in the selling price.
Step-by-step explanation:
From the definition of the secant line we get that the average rate of change of [tex]P(x) = -0.015\cdot x^{2}+1.2\cdot x -11.5[/tex], where [tex]x[/tex] is the selling price of the product, measured in dollars per unit, is:
[tex]r = \frac{P(55)-P(50)}{55-50}[/tex] (1)
Now we evaluate the function at each bound:
x = 50
[tex]P(50) = -0.015\cdot (50)^{2}+1.2\cdot (50)-11.5[/tex]
[tex]P(50) = 11[/tex]
x = 55
[tex]P(55) = -0.015\cdot (55)^{2}+1.2\cdot (55)-11.5[/tex]
[tex]P(55) = 9.125[/tex]
Then, the average rate of change is:
[tex]r = \frac{9.125-11}{55-50}[/tex]
[tex]r = -0.375[/tex]
Hence, the profit decreases by $ 375 for every $ 1 increase in the selling price.
The statements that best interprets the average rate of change from x = 50 to x = 55 is (b) The profit decreases by $375 for every $1 increase in the selling price.
The profit function is given as:
[tex]P(x) = -0.015x^2 + 1.2x - 11.5[/tex]
Calculate P(x), when x = 50.
So, we have:
[tex]P(50) = -0.015(50)^2 + 1.2(50) - 11.5[/tex]
[tex]P(50) = 11[/tex]
Calculate P(x), when x = 55.
So, we have:
[tex]P(55) = -0.015(55)^2 + 1.2(55) - 11.5[/tex]
[tex]P(55) = 9.125[/tex]
The average rate of change from x = 50, to 55 is then calculated using:
[tex]m = \frac{P(55) - P(50)}{55-50}[/tex]
So, we have:
[tex]m = \frac{9.125 - 11}{55-50}[/tex]
[tex]m = \frac{-1.875}{5}[/tex]
Divide
[tex]m = -0.375[/tex]
The function is in 1000 units.
So, we have:
[tex]m = -0.375\times 1000[/tex]
[tex]m = -375[/tex]
-375 implies a decrease of $375 for every $1 increase in sales
Hence, the correct statement is (b)
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PLEASE HELP ME I AM PAYING 100 POINTS!!
Mal works at a photo gallery. He charges $50 for a large photo and $40 for a large frame. Sales tax is 5%. How much total tax will a customer pay on both?
Answer the questions to show how to write and simplify expressions that represent the problem.
1. Find the total tax using the expanded expression. Did you get the same answer as you did by evaluating the original expression?
Write your answer in the space below.
2. Which expression, the original expression or the expanded expression, involves finding the total cost first, then calculating the tax on that total?
Write your answer in the space below.
no scams!
The sum of the ages of Martin and his son Sherwin is 47 years. Martin's age is 2 years more than 4 times the
age of Sherwin. Find their present age.
Answer:
In the picture above it shows how to answer the questions step by step. If there's a mistake, pls inform me.
Solve for the line, Thank you!
Plz help me with this question
Answer:
123
Hope this helped!
Which function is linear?
A. 9y+3=0
B. Y-4x=1
C. Y=2+6x⁴
D. X-2y=7
E. X/y+1=2
Answer:the answer is A
Step-by-step explanation:
I can evaluate functions in function notation (12B)
I can graph linear functions on a coordinate plane (30)
17. h(x)= 72 x-25, find h(-6)
18. g(x) = 5x2 + 4x - 3, find g(2)
(17)
Answer:
[tex]h(-6) = -457[/tex]
Step-by-step explanation:
Given the function
[tex]h(x)= 72 x-25[/tex]
Put [tex]h = -6[/tex] to in the function
[tex]h(x)= 72 x-25[/tex]
[tex]h\left(-6\right)=\:72\left(-6\right)-25[/tex]
[tex]=-432-25[/tex]
[tex]=-457[/tex]
Therefore,
[tex]h(-6) = -457[/tex]
(18)
Answer:
[tex]g(2)=25[/tex]
Step-by-step explanation:
Given the function
[tex]g\left(x\right)\:=\:5x^2\:+\:4x\:-\:3[/tex]
[tex]g\left(2\right)\:=\:5\left(2\right)^2\:+\:4\left(2\right)\:-\:3[/tex]
[tex]= 20 + 8 - 3[/tex]
[tex]= 25[/tex]
Therefore,
[tex]g(2)=25[/tex]
Guessing the initial of a students middle name
Answer:
1/26
Step-by-step explanation:
What is accounting? What is the role of accounting in values?
Answer:
Found this on google, "Accounting creates values by maintaining transparency of accounts. Since man lives in the society, he has got a social life. For leading a social life he has to perform financial and material transactions daily. For carrying out these transactions successfully the existence of a sound environment is necessary."
Answer: Accounting is the process of recording financial transactions pertaining to a business.
Step-by-step explanation: The purpose of accounting is to accumulate and report on financial information about the performance, financial position, and cash flows of a business. This information is then used to reach decisions about how to manage the business, or invest in it, or lend money to it.
Please someone help me
Answer:
D
Step-by-step explanation:
Answer:
uhh what kinda symbols r those
Step-by-step explanation:
Please help me out i don’t know what right and left is!!! please tell me :(((
Answer:
put your fingers out in the shape of L's. Which ever finger has the L facing the proper way, is left, and the other is right.
Step-by-step explanation:
Simplify:
3p+2p-p
Please help ASAP !!
Answer: 4 P
Step-by-step explanation: hope this helps!
The solution of the given expression 3p+2p-p will be 4P.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given expression is 3p+2p-p. The expression will be simplified as:-
E = 3p+2p-p
Add the values 3p and 2p first.
E = 5p - p
Subtract p form 5p.
E = 4p
Therefore, the solution of the given expression 3p+2p-p will be 4P.
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In the 48 years between 1842, the average rate of erosion at horseshoe falls was 33 divided by 50 metre per year. In the 22 years between 1905 and 1927 the rate of erosion was 7 divided by 10 meter per year . Approximately how much total erosion occurred during these two time periods
Answer:
47. 08 meters
Step-by-step explanation:
Given that:
In 48 years between 1842 :
Rate of erosion = 33/50 meters per year
Between 1905 - 1927 (22 years)
Rate of erosion = 7/10 meters per year
Approximately how much total erosion occurred during these two time periods ;
Total erosion that occured within 1842:
Rate of erosion * number of years
(33/50)m * 48
0.66 meters * 48
= 31.68 meters
Total erosion that occured between 1905 - 1927:
Rate of erosion * number of years
(7/10)m * 22
0.7 meters * 22
= 15.40 meters
total erosion which occurred during these two time periods ;
31.68 meters + 15.40 meters
= 47.08 meters
Answer:
47. 08 meters
Step-by-step explanation:
Given that:
In 48 years between 1842 :
Rate of erosion = 33/50 meters per year
Between 1905 - 1927 (22 years)
Rate of erosion = 7/10 meters per year
Approximately how much total erosion occurred during these two time periods ;
Total erosion that occured within 1842:
Rate of erosion * number of years
(33/50)m * 48
0.66 meters * 48
= 31.68 meters
Total erosion that occured between 1905 - 1927:
Rate of erosion * number of years
(7/10)m * 22
0.7 meters * 22
= 15.40 meters
total erosion which occurred during these two time periods ;
31.68 meters + 15.40 meters
= 47.08 metersStep-by-step explanation:
yes she do break even because let me show you a expression now take a number line and then you start at -16 right and then you go down the number line and then this is how it go -16 -15 -14 -13 -12 -11 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 and i just answer your Q there you go -16+16=0
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What inequality is represented by this graph?
Answer:
I believe it would be B
Step-by-step explanation:
im not good at explaining, but basically that would make the most sense, forgive me if im wrong, im not good at math TwT
A line passes through (2, -1) with slope 3.
What is the equation of the line in point-slope form?
A. y - 1 = 3(x + 2)
B. 3(y + 2) = x - 1
C. y - 2 = ( 1/3 x + 1)
D y + 1 = 3(x - 2)
The perimeter of a rectangular parking lot is 312m .
If the length of the parking lot is 95 m, what is its width?
Answer:
61 meters
Step-by-step explanation:
The perimeter of a rectangle is 2l + 2w, l being the length and w being the width. Substitute the known value into the equation and solve:
312 = 2(95) + 2w
312 = 190 + 2w
122 = 2w
w = 61
(ASAP) please help with both questions!!!!
i will mark brainliest!!!
Answer:
a||b the first one. A (-2, 0) B (0, -4) C (4, -6) D (2, -2)
Step-by-step explanation:
If you reflect over the y-axis you will change the y in the coordinate. (x, y) If it is positive you will make it negative and if it is negative you will make it positive.
Nancy has a 3.5-pound bag of birdseed. She uses 3/4 of the bag to fill a bird feeder in her garden. Then, she puts 0.25 pounds in a dish to give to her pet canaries. How much birdseed does she have left?
Answer:
0.625lb bag of bird seeds
Step-by-step explanation:
She starts with a 3.5 lb bag,
Then she uses 3/4 of the bag, so find the remaining amount in the bag, which would be 1/4 of the original weight;
1/4 * 3.5
= 1/4 * 7/2
= 7/8
Then she removes 0.25 lbs of weight, hence take away 0.25 (the amount removed) from 7/8 (the current weight of the bag).
7/8 - 0.25
= 7/8 - 1/4
= 7/8 - 2/8
= 5/8
So she has a 5/8lb bag of bird seeds or a 0.625lb bag.
The front and back covers of a textbook are each 0.3 cm thick. Between the covers are 200 sheets of paper, each 0.008 cm thick. How high is a stack of 10 books
Answer:
22 cm
Step-by-step explanation:
Start off by multiplying the number of pages by the thickness.
200*0.008=1.6
Add the thickness of the front and back cover.
1.6+0.6=2.2
Multiply by 10.
2.2*10=22 cm
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The height of the 10 stacks of books is 22cm.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
Given that the front and back covers of a textbook are each 0.3 cm thick. Also, there are 200 sheets of paper between the cover and the thickness of each sheet is 200 sheets. Therefore, the thickness of the book is,
The thickness of a single book
= (Number of covers × Thickness of cover) + (Number of sheets × Thickness of sheets)
= (2 × 0.3cm) + (200 × 0.008cm)
= 2.2 cm
Now, the thickness of 10 books will be,
The thickness of 10 books = 10 × the Thickness of a single book
= 10 × 2.2 cm
= 22 cm
Hence, the height of the 10 stacks of books is 22cm.
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please help me this due today by 3:00. When 12 is subtracted from 3 times a number, the result is 24. Find the number. Write the equation and solve for the variable.
Answer:
12
Step-by-step explanation:
3n-12=24
+12 on both sides
3n=36
divide by 3
n=12
Liana is studying the activity of nurse sharks. She starts at a position that is 25 feet below sea level. She rises 9 feet, then descends 12 feet to take a photo of a sleeping shark. Find her position relative to sea level when she took the photo.
Answer:
I believe the answer is -28
Step-by-step explanation
I gotchu bro
The answer is -28 because Liana starts at 25 below sea level (which is the same thing as -25) If she rises 9 feet, then you know to add because she is going up so your just gonna add. Next she descends 12 feet, so she went down, so subtract. So i know the answer is going to be -28 because -25+9 is -16, then imma subtract -16 and 12 so, -16 - 12= -28. There ye go
Y= 3x - 6 what is the slope??
Answer:
the slope would be 3 because using y=mx+b, you know that m would be your slope and b would be the y-intercept.
Find the slope I’m sorry I need help with this one I’m finding the answer but don’t understand it sorry
A salad lettuce,tomatoes,and onions would be classified as a