Answers
========================================
Explanation:
Let's find the slope of the graphed line
Use the slope formula on two points from the diagonal line. I'll pick the two points (-1,-2) and (0,2) to get
m = (y2-y1)/(x2-x1)
m = (2-(-2))/(0-(-1))
m = (2+2)/(0+1)
m = 4/1
m = 4
The slope of the graph is 4. This is the same as the rate of change for this graph.
-----------------
Repeat those steps for the data table
I'll pick the first two rows (0,-6) and (2,-2)
m = (y2-y1)/(x2-x1)
m = (-2-(-6))/(2-0)
m = (-2+6)/(2-0)
m = 4/2
m = 2
The slope, or rate of change, here is 2
-----------------
Now subtract the two slopes: 4-2 = 2
The answer is 2.
The difference between the rates of change for these two functions
is 2.
What is slope?The slope is the rate of change of the y-axis with respect to the x-axis.
The equation of a line in slope-intercept form is y = mx + b, where
slope = m and y-intercept = b.
We know the greater the absolute value of a slope is the more steeper is its graph or the rate of change is large.
We know the slope(m) between the two points (x₁, y₁) and (x₂, y₂) is given by, m = (y₂ - y₁)/(x₂ - x₁).
The two coordinate points of the graph of the line are (0, 2) and (- 1, - 2).
slope(m₁) = (- 2 - 2)/(- 1 - 0).
slope(m₁) = 4.
Slope(m₂) = (- 2 + 6)/(2 - 0).
slope(m₂) = 2.
Therefore, The difference between the rate of change of the two functions is, m₁ - m₂ = 4 - 2 = 2.
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Related Questions
A soap factory packs 7 bars of soap into each family pack. How many family packs can be made with 4,900 bars of soap?
Answers
Answer:
700 family packs
Step-by-step explanation:
In each family pack, there are 7 bars of soap. To find the number of family packs that can be made with 4900 bars of soap, we need to divide 4900 into groups of 7.
4900÷7
=700
Therefore, 700 family packs can be made with 4900 bars of soap.
I hope this helps!
Sarah is making shortbread biscuits. She has: 600g of butter 300g of caster sugar 1kg of plain Klour 500g of cornKlour She has found this list of ingredients for making 8 shortbread biscuits Sarah wants to make as many shortbread biscuits as possible. Work out how many shortbread biscuits Sarah can make.
Answers
Answer and explanation:
We are told that Sarah has 600g of butter, 300g of caster sugar, 1kg of plain flour, and 500g of cornflour
We are also told that she found this list of ingredients for making 8 shortbread biscuits. The question isn't clear on whether the ingredients listed above are for the 8 shortbreads, or ingredients for 8 shortbreads were omitted.
We are told Sarah wishes to make as many shortbreads as possible.
To work out how many shortbreads Sarah can make, we need to know the ingredients required for one shortbread(or a number of shortbreads) and ingredients Sarah currently has. The question lists Sarah's ingredients and the number of shortbreads(8) that can be made with them, but doesn't go further than this. Therefore we can conclude that Sarah can only make 8 shortbreads given the amount of ingredients in her possession.
Can somebody help me? With those three problems please
Answers
Answer:
15. [tex] x = 8 [/tex]
16. m<V = 103°
17. [tex] x = 14 [/tex]
Step-by-step explanation:
15. The figure given is quadrilateral. Sum of interior angles of a quadrilateral = 360°
Therefore:
[tex] (10x + 6) + (13x - 2) + (8x - 1) + (180 - 71) = 360 [/tex]
Solve for x
[tex] 10x + 6 + 13x - 2 + 8x - 1 + 109 = 360 [/tex]
Add like terms
[tex] 31x + 112 = 360 [/tex]
Subtract 112 from each side
[tex] 31x = 248 [/tex]
Divide both sides by 31
[tex] x = 8 [/tex]
16. The polygon is a hexagon. Sum of interior angles of a hexagon = 720. Therefore:
[tex] 90 + (7x + 3) + 128 + (5x + 8) + 111 + (9x - 19) = 720 [/tex]
Solve for x
[tex] 90 + 7x + 3 + 128 + 5x + 8 + 111 + 9x - 19 = 720 [/tex]
Add like terms
[tex] 321 + 21x = 720 [/tex]
Subtract 321 from each side
[tex] 21x = 399 [/tex]
Divide both sides by 21
[tex] x = 19 [/tex]
m<V = 5x + 8
Plug in the value of x
m<V = 5(19) + 8 = 95 + 8
m<V = 103
17. The polygon is a regular pentagon. This means each of the angles measures 108°. The sum of the interior angles all together is 540.
Therefore:
[tex] (9x - 18) = 108 [/tex]
Solve for x
[tex] 9x - 18 = 108 [/tex]
Add 18 to both sides
[tex] 9x = 126 [/tex]
Divide both sides by 9
[tex] x = 14 [/tex]
Which number line below shows the solution to the inequality -4 < x/2 < 2?
Answers
Answer:
B
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
i hope this helps :)
6. Suppose that a bike rents for $4 plus $1.50 per hour. Write an equation in slope-intercept form that models this situation. y=4+1.50
7. Use the equation you wrote in problem 6 to complete the table. 2 4 6 8 Hours (x) Total Cost (y) - - - -
Answers
The answers for the rest is 2=7 4=10 6=13 8=16
What’s the sum of a number x and three is equal to eleven
Answers
Answer:
x = 8
Step-by-step explanation:
your equation can be written as: x + 3 = 11
subtract 3 from both sides to isolate x: x = 8
your answer is 8
Consider the graph of the polynomial function. Which of the following shows three binomial factors of the function?
Question 16 options:
A)
(x – 1)(x – 2)(x – 3)
B)
(x + 1)(x + 3)(x – 2)
C)
(x + 2)(x – 1)(x – 3)
D)
(x + 1)(x + 2)(x + 3)
Answers
Answer:
C
Step-by-step explanation:
the three binomial factors are (x+2)(x-1)(x-3)
Answer:
C
Step-by-step explanation:
Given a zero x = a then the corresponding factor is (x - a )
Here the zeros ( where the graph crosses the x- axis ) are at
x = - 2, x = 1 and x = 3
Thus the corresponding binomial factors are
(x - (- 2) ), (x - 1) and (x - 3), that is
(x + 2), (x - 1), (x - 3) → C
Pleaseeee answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!
Answers
Width: 24
Height: h
We treat it as a right triangle:
25^2 = 24^2 + h^2 <=>
h^2 = 25^2 - 24^2 <=>
h^2 = 625 - 576 <=>
h^2 = 49 <=>
h = 7
The TV is 7 inches tall.
Let $n$ be the smallest composite number such that it can be written as the product of two positive integers that differ by 10?
Answers
Answer:
The smallest composite number for [tex]n[/tex] is 24, which is the product 2 and 12.
Step-by-step explanation:
A composite number is an integer that is not a prime number, that is, a number that can be divided only by one and itself. Let be [tex]n[/tex] the smallest composite number such that there are two positive integers [tex]x[/tex], [tex]y[/tex] such that [tex]x - y = 10[/tex] and [tex]x\cdot y = n[/tex]. [tex]n[/tex] is a positive integer, since both integers are positive. Then, we can use the following formula:
[tex](y+10)\cdot y = n[/tex]
[tex]y^{2}+10\cdot y = n[/tex]
[tex]y^{2}+10\cdot y - n = 0[/tex] (1)
We obtain the roots of this second order polynomial by means of the Quadratic Formula:
[tex]y = \frac{-10\pm \sqrt{10^{2}-4\cdot (1)\cdot (-n)}}{2}[/tex]
[tex]y = -5\pm \sqrt{25+n}[/tex] (2)
Given that [tex]y > 0[/tex], we must observe the following inequation:
[tex]-5\pm \sqrt{25+n}>0[/tex] (3)
[tex]\sqrt{25+n} > 5[/tex]
[tex]25 + n > 25[/tex]
[tex]n > 0[/tex]
Let is find the values of x and y by iterative means:
x = 11, y = 1
[tex](11)\cdot (1) = 11[/tex]
11 is not a composite number, but a prime number.
x = 12, y = 2
[tex](12)\cdot (2) = 24[/tex]
24 is a composite number, which contains the following product of prime numbers:
[tex]2^{3}\cdot 3 = 24[/tex]
The smallest composite number for [tex]n[/tex] is 24, which is the product 2 and 12.
I need help with the problem that is in the attached image.
Answers
Answer: c
Step-by-step explanation: i did the test
-3(2x-3)= -5x+5 show your work
Answers
Answer:
x=4
Step-by-step explanation:
Hope this helps!
Plz, mark brainiest! ^.^
Answer:
x = 4
Step-by-step explanation:
Use the distributive property to distribute the -3 amongst the 2x and the -3 in the parenthesis. Once distributed you should have -6x + 9 = -5x + 5. Next, you want to get all like terms on the same side, and to do that you must swap the +9 and the -5x. When you swap these, you must 'flip' the sign and change 9 to -9 and -5x to 5x. Now the equation should look like this: -6x + 5x = -9 + 5.
Now just solve. After solving, it should look like this: -1x = -4. Now to get rid of the negatives. Just divide each side by negative one and your answer is x = 4.
Ivana works at a department store selling perfume and makeup. She earns $375 per week and 4% commission on her sales. If Ivana's sales for the week were $2513, what are her total earnings for the week?
Answers
Answer:
$1380.2Step-by-step explanation:
Step one:
given data
weekly earnings= $375
Commission is 4% of sales.= 0.4
supposing sale is x, and the total earning is y
the expression for the total earning will be
y=375+0.4x
Step two:
for x= 2513, y will be
y=375+0.4(2513)
y=375+1005.2
y=1380.2
Hence her total earnings for the week will be $1380.2
What is the value of x in the solution to the system of equations? 4x - 2y = 5 y = 3x - 1
Answers
Answer:
X = 7
Step-by-step explanation:
Please mark brainliest.
Answer:
[tex]\huge\boxed{\sf x = -2}[/tex]
Step-by-step explanation:
4x - 2y = 5 -------------------------------(1)
y = 3x - 1 ----------------------------------(2)
Put Eq. (2) in (1)
4x - 2(3x-1) = 5
4x - 6x + 1 = 5
-2x + 1 = 5
Subtracting 1 to both sides
-2x = 5 - 1
-2x = 4
Dividing both sides by -2
x = 4 / -2
x = -2
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AnonymousHelper1807if f(x)= -3x2 -5x, what is the value of f(-3)? (the 2 is to the second power )
Answers
Answer:
-12
Step-by-step explanation:
-3x^2-5x x is -3
-3(-3)^2-5(-3)
-27+15
True or false
It is common for
basic savings accounts
to have interest rates
up to 35%.
Answers
Answer:
TRUE
i think
Step-by-step explanation:
Hope this helps!!
The train station clock runs too fast and gains 8 minutes every 10 days.
How many minutes and seconds will it have gained at the end of 4 days?
Answers
Answer: 3 minutes and 12 seconds
Step-by-step explanation: You can see 8 minutes every 10 days as a fraction (8/10). This can be simplified to 4/5, meaning that the amount of time gained will be 4/5 of the # of days that have passed. 4/5 of 4 days is 3.2 minutes, and that can be converted to 3 1/5. 60 seconds divided by 5 is 12 seconds, meaning that 1/5 of a minute is 12 seconds. Therefore, the answer is 3 minutes and 12 seconds.
solve system of equations using the elimination method
Answers
Answer:
(x,y)=(-4/5,10/19)
Step-by-step explanation:
x+2y=3
x-8y=-16
x+2y=3
-x+8y=16 (multiply both sides by-1)
10y=16
y=16/10
x+2(16/10)=3
x=-4/5
work out 4.52 times by 36
Answers
I just it into a calculator and got 162.72. Hope this helps you! Have a nice day and a nice rest of the holidays!
The product of 4.52 times by 36 is 162.72
Given,
4.52 times by 36
We need to find the product.
How do multiply decimal numbers?Example:
2.3 x 3.4 = 7.82
There are two numbers after the decimal point.
In 2.3 there is one number after the decimal point.
In 3.4 there is one number after the decimal point.
Now,
1 + 1 = 2 numbers
7.82 has two numbers after the decimal point.
We have,
4.52 times by 36
4.52 x 36 = 162.72
4.52 x 6 = 27.12
4.52 x 3 = 13.56
4.52
x 36
27.12
13.56
162.72
4.52 has two numbers after the decimal point.
162.72 has two numbers after the decimal point.
Thus the product of 4.52 times by 36 is 162.72
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Find the two square roots of 4.
Answers
Answer:
2 and -2
Step-by-step explanation:
Answer:
the number 2
Bernie’s estimated that 69% of 242 is 168 is her estimate reasonable
Answers
Answer:
Yes it is.
Step-by-step explanation:
Best way is to use percentages you know when estimating.
We know 50% is half.
50% of 242 is 121.
So it has to be more than 121.
10% of 242 is 24.2 so add that to 121 and you get 145.2
You are 60% so far. You just need 9% more.
Add another 10% which is 24.2 and you get 169.4, which is over but we used 10% instead of 9% so the estimate is reasonable and close.
Identify if the triangle is scalene, isosceles or equilateral.
Answers
Answer:
Scalene – none of the sides of the triangle have equal lengths
Isosceles – two sides of the triangle have the same length
Equilateral – all sides of the triangle have the same length
1. Equilateral
2. Scalene
3. Isosceles
4. Isosceles
5. Isosceles
6. Isosceles
7. Isosceles
8. Equilateral
Hope this helps! :)
Reese had $42 in his pocket orl Sunday night. He spent $6.50 every day for lunch.
Which of the following equations best describes the relationship between d, the
number of days since Sunday, and m, the amount of money remaining?
Answers
The required equation is m = 42 - 6.50d which is the correct answer would be an option (C).
What is the Linear equation?A linear equation is defined as an equation in which the highest power of the variable is always one.
We have been given that Reese had $42 in his pocket on Sunday night. He spent $6.50 every day for lunch.
Let d represents the number of days since Sunday, and m represents the amount of money remaining
Reese has 42 total and it subtracts by 6.50$ every day
According to the given question,
The linear equation would be as
m = 42 - 6.50d
The above model equation is the relationship between d, the number of days since Sunday, and m, the amount of money remaining
Therefore, the required equation is m = 42 - 6.50d.
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If the sum of the legs of a right triangle is 49cm and the hypotenuse is 41cm find the length of the two legs... without using guess or check.
Please show work
Answers
Answer:
I think 42
Step-by-step explanation:
PLEASE ANSWER RIGHT AWQY I WILL MARK YOU BRAINLIEST!!
Answers
Determine the slope-intersept form of the linear equation x/2 - y + 6 =0
Answers
Answer: slope =1/2 y intercept (0,6)
Step-by-step explanation: use the slope and y intercept form y=mx + b
Input -13,20,0,-4,11,-1,17,?
Output-15,-11,-9,-2,-1,5,5,13
what numbers can be placed into the empty cell so the table of values satisfies the definition of the function
these are the select answers
-5
-1
0
2
11
17
Answers
Answer:
I dont get it if u put options it will be helpful
Step-by-step explanation:
pls dont be mad have a wonderful day :D
please help me answer this i will give brainliest and 5 star rating!!
Answers
Answer:
x = 77 ft
Step-by-step explanation:
55 ÷ 45 = 1.222222222
1.222222222 x 63 = 77
Answer:
63+45 divided by 12 + 55 times 12 + 95 (is what i think is the approximate length of the shadow)
Step-by-step explanation:
then after you do all this round it to the nearest foot
What time is it in New York, now
Answers
Answer:
7:17 PM
Step-by-step explanation:
Answer:
7:17................
The equation for the pH of a substance is pH = -log[H'], where H+ is the concentration of hydrogen ions. A basic
solution has a pH of 11.2. An acidic solution has a pH of 2.4. What is the approximate difference in the concentration
of hydrogen ions between the two solutions?
Answers
Answer:
it's b.
Step-by-step explanation:
Answer:
B. 4.0 x 10^-3
Step-by-step explanation:
Correct answer on edge 2022.
What is the domain ??
Answers
Answer:
[-8, 6]
Step-by-step explanation:
Domain is the x values. Look at the smallet x value, in this case -8, and the largest, in this case 6, and write them like a point using [] not (). You use [ or ] for numbers and ( or ) for infinity signs.