Given:
The table of values.
To find:
The rate of change.
Solution:
From the given table it is clear that the rate of change is constant and function passes through two points (-1,5) and (2,-4). So, the rate of change is
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{-4-5}{2-(-1)}[/tex]
[tex]m=\dfrac{-9}{2+1}[/tex]
[tex]m=\dfrac{-9}{3}[/tex]
[tex]m=-3[/tex]
So, the rate of change is -3.
Therefore, the correct option is C.
The sum of two integers is 31. The larger of the two integers is 4 more than 2 times the smaller integer. What are the integers? 9 and 22 -22 and 53 allo -9 and 40 14 and 17
Answer:
x = 22 y = 9
Step-by-step explanation:
Let me know if you need an explanation! Hope this helped :)
Lian's work is shown below. Steps Lian's Work Step 1 s + 40 = 68 Step 2 s + 40 minus 40 = 68 minus 40 Step 3 s = 28 In which step, if any, did Lian first make a mistake in her work? step 1 step 2 step 3 no mistake
Answer:
No mistakeStep-by-step explanation:
Given the equation solved by Lian expressed as;
s + 40 = 68
Lian is to find the value of s from the equation, to do that you will follow the steps below;
Step 1: Substract 40 from both sides of the equation;
s + 40 - 40 = 68 - 40
Step 2: Solve for s;
s + 40 - 40 = 68 - 40
s + 0 = 68 - 40
s = 28
Based on the calculation, we can say that Lian made no mistake when solving
Answer:
D, no mistake.
Step-by-step explanation:
When changed to standard form, how many zeros will be after the seven?
1587 x 10^39 = EASY POOINTS
Answer:
39
Step-by-step explanation:
because the decimal is moved 39 times as shown by calculating the sum
Answer:
Your answer is 39
Hope this helps
Find the volume of a cylinder with a radius of 4 in and a height that is 3 times the radius
Answer:
Volume of a cylinder: V = π * r² * h ,
Base surface area of a cylinder: A_b = 2 * π * r² ,
Lateral surface area of a cylinder: A_l = 2 * π * r * h ,
Total surface area of a cylinder: A = A_b + A_l ,
Step-by-step explanation:
So, when the radius is tripled, the volume will be 3 squared = 9 times than the previous one.
Answer:
602.88 in^3
Step-by-step explanation:
3.14 * 4^2 * 12
3.14 * 16 * 12
50.24 * 12
(50 * 12) + (0.24 * 12)
600 + 2.88
602.88 in^3
if f(x)=mx+b what are the values of m and b
The m variable is the slope of the line and controls its 'steepness'. A positive value has the slope going up to the right. A negative slope goes down to the right. The b variable is the y intercept - the point where the line crosses the y axis.
example 1
y = mx + b
m = slope b = y-intercept
y = 3x - 1
m = 3 and b = -1
example 2
y = b + mx
b = y-intercept m = slope
y = 5 - 1/2x
m =- 1/2 and b = 5
(hope this helped!!)
can i have brainliest?
change 3/4 into its equivalent decimal form
Answer:
0.75
Step-by-step explanation:
Write the Slope-Intercept and Point-Slope forms of the line passing through the point (-3, 2) and having a slope of -4/5
Answer:
slope-intercept: [tex]y=\frac{-4}{5} x-\frac{2}{5}[/tex]
point-slope: [tex]y-2=\frac{-4}{5} (x+3)[/tex]
Step-by-step explanation:
The slope-intercept form of a line is written as y = mx + b, where m is the slope and b is the y-intercept.
The point-slope form of a line is written as y - y1 = m(x - x1), where (x1, y1) is a given point and m is the slope.
Here, we see that the slope is -4/5, which means that m = -4/5. Since we're given a point (-3, 2), let's go ahead and just write the point-slope form already. (x1, y1) = (-3, 2) so x1 = -3 and y1 = 2. Then:
y - y1 = m(x - x1)
y - 2 = (-4/5) * (x + 3)
[tex]y-2=\frac{-4}{5} (x+3)[/tex]
Now, we want to find the slope-intercept form, so we need to figure out the y-intercept. Well, first, let's plug in what we know:
y = mx + b
y = (-4/5)x + b
Any point on this line will satisfy the above equation. Since (-3, 2) is on this line, if we plug -3 in for x and 2 in for y, the equation should hold true, so we can solve for b:
y = (-4/5)x + b
2 = (-4/5) * (-3) + b
2 = 12/5 + b
b = -2/5
So, the y-intercept is -2/5. Then the slope-intercept form is:
[tex]y=\frac{-4}{5} x-\frac{2}{5}[/tex]
Thus, our two equations are:
slope-intercept: [tex]y=\frac{-4}{5} x-\frac{2}{5}[/tex]
point-slope: [tex]y-2=\frac{-4}{5} (x+3)[/tex]
Nancy's morning routine involves getting dressed, eating breakfast, making her bed, and driving to work. Nancy spends ⅓ of the total time in the morning getting dressed, 10 minutes eating breakfast, 5 minutes making her bed, and the remaining time driving to work. If Nancy spends 35 ½ minutes getting dressed, eating breakfast, and making her bed, how long is her drive to work?
Answer: 26 minutes
Step-by-step explanation:
Assume that the total time spent in the morning which includes getting dressed, eating breakfast, making her bed, and driving to work is x.
Time getting dressed = ¹/₃x
Eating breakfast = 10 mins
Making bed = 5 mins
¹/₃x + 10 + 5 = 35 ½
¹/₃x + 15 = 35 ½
¹/₃x = 35 ½ - 15
¹/₃x = 20 ½
x = 20 ½ / ¹/₃
= 61.5 minutes
Total morning routine is is 61.5 mins
Time taken to drive to work is;
= 61.5 - 35 ½
= 26 minutes
Find the slope of the line that passes through the points (2, 1) and (-1,-1).
O
02
O 2/3
Answer:
0
Step-by-step explanation:
m=y2-y1 / x2-x1
m= -1-1/-1-2
m=0/-3
m=0
Find the midpoint of (2,-9) and (-4,-4)
Given the graph below, solve the system of equations.
Answer:
(4, 3 )
Step-by-step explanation:
Given a system of equations graphically, then the solution is at the point of intersection of the 2 lines.
The lines intersect at (4, 3 ) ← solution
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
George was writing a paper for English class. He has already written 1 complete page. He plans on writing his paper at a rate of 2 pages per hour. Show all work and explain your answers clearly. Use complete sentences.
What do the slope and the y-intercept represent in context of this situation?
Answer:
y = 2x + 1
Step-by-step explanation:
The equation that models this situation is
y = 2x + 1.
The slope represents the amount of pages he completes every hour and the y-intercept represents how many papers George has already done.
(Help needed ASAP) Michelle has a balance of $950 in a savings account that pays 3% interest compounded annually. If Michelle makes no deposits or withdrawals, how much money will be in her savings account after 2 years?
A)$1,007.00
B)$1,007.86
C)$1,004.00
D)$954.81
Answer:
i think its C....
Step-by-step explanation:
A town is storing salt for the winter in a cylindrical building. The building has a radius of 5 ft and is 30 ft tall. The building contains 1,500 ft3 of salt. What is the approximate height that the salt reaches in the building?
The answer are:
A. 0.5 ft
B. 5 ft
C. 19 ft
D. 22 ft
Answer:
To start off, we know the problem involves something with volume as it is 3D and has a cubic in it.
We know r = 5, h = 30, and v = 1500
The volume for a cylinder in 3d is : V=[tex]\pi[/tex][tex]r^{2}[/tex]h
We're solving for the height when the cylinder has a volume of 1500, therefor, we will solve for height.
Using our volume equation we plug in all values except h because we're solving for it.
1500=[tex]\pi r^{2} h[/tex]
1500=[tex]\pi 5^{2} h[/tex]
1500=25[tex]\pi[/tex](h)
1500/25[tex]\pi[/tex] = h
60/[tex]\pi[/tex] = h
60/[tex]\pi[/tex] = 19.0985
H is 19ft. (C)
Simplify 6a^2b^-2/8a^-3b^3
Assume a≠0 b≠0
Answer:
3/4
Step-by-step explanation:
reducing 6/8 would be 3/4, and if a and b = 0, then anything multiplied by 0 would be nothing so there wouldn't be and variables
Answer:
the answer is C
Step-by-step explanation:
edge
State the x-intercept and the y-intercept of the line.
a.-10;5
b.-9;5
c.-10;4
d.-11;6
Solve for x. 0.2(8x-4)=0.3(10-2x)
Answer:
x = 1.727
Step-by-step explanation:
0.2(8x-4) = 0.3(10-2x)
1.6x - 0.8 = 3 - 0.6x
2.2x = 3.8
x = 1.727
hope this helps, pls mark brainliest :D
please help this is due tmrw!!!
Answer: B.
Step-by-step explanation: In 2010, you have 15 games won. Then, in 2011, you have 12 games won. The rate of change is -3.
I have a 4.21 gpa and I need the unweighted version of it.
Is the unweighted version like a 3.5 or something?
Answer:
Pretty sure it would be 3.5 or 3.6 somewhere in that zone :)
helpppppppppppppppppppppppppp
The answer is: 8m=152
Solve for a and b in the picture.
Answer:
a=13 b=10.5
Step-by-step explanation:
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Can someone help me plz I will mark brainliest
-14,-12,-10,-8,-6 what sequence is it.
arithmetic sequence
Step-by-step explanation:
Answer:
+2
Step-by-step explanation:
The numbers are increasing by 2 every time
PLEASE HELP!!!
In the diagram below of triangle ABC, D is a midpoint of AB and E is a midpoint
of BC. If m
of ZCAD?
Answer:
The measure of ∠CAD is 69°
Step-by-step explanation:
In ΔABC
∵ D is the mid-point of AB
∵ E is the mid-point of BC
∴ DE is parallel to AC
→ From parallelism
∵ DE // AC
∴ m∠EDB = m∠CAD → corresponding angles
∵ m∠EDB = 83 - 7x
∵ m∠CAD = 7x + 55
→ Equate them
∴ 7x + 55 = 83 - 7x
→ Add 7x to both sides
∵ 7x + 7x + 55 = 83 - 7x + 7x
∴ 14x + 55 = 83
→ Subtract 55 from both sides
∵ 14x + 55 - 55 = 83 - 55
∴ 14x = 28
→ Divide both sides by 14
∴ x = 2
→ To find m∠CAD, substitute x by 2 in its measure
∵ m∠CAD = 7(2) + 55
∴ m∠CAD = 14 + 55
∴ m∠CAD = 69°
∴ The measure of ∠CAD is 69°
Two rectangles are similar. The ratio of the length of rectangle A to the length of rectangle B is 1:4. If the length of rectangle B is 14 meters, what is the length of rectangle A?
Answer:
Hey have you tried on your own to make sure you understand it?
Step-by-step explanation:
The volume of a cylinder is 401.92 cubic inches.
If the height of the cylinder is 2 inches, what is
its radius?
A clothing factory produces 4 boxes of jackets every 3 days. At this rate, how long will it take the factory to produce 24 boxes of jackets? brainliest can be given if your quick!
Answer:
6 days to produce
Step-by-step explanation:
24÷4=6 days
The number of days that it will take the factory to produce 24 boxes of jackets is 6 days.
Calculation of the no of days:Since A clothing factory produces 4 boxes of jackets every 3 days.
Here the number of days should be
[tex]= 24\div 4[/tex]
= 6 days
Therefore, The number of days that it will take the factory to produce 24 boxes of jackets is 6 days.
Learn more about number here: https://brainly.com/question/2472437
Which of these is also (always) a rhombus? (Select all that apply.)
A. Quadrilateral
B. Parallelogram
C. Rectangle
D. Square
E. Kite
F. Trapezoid
Answer:
A square and maybe a kite.
Step-by-step explanation:
Answer:
D. Square
Step-by-step explanation:
Here is a good images that explains what is what:
Read it from bottom to top. It cannot be reversed.
A car dealer is calculating the list price for a used car. The dealer takes the initial price of the car and adds $259 dollars for cleaning and shipping the car to the dealer. The dealer then increases that price by 25% for the dealer’s profit. That price is then increased again by 10% for the salesperson’s commission. If a used car is initially priced $10,000, what will be the list price for this car?
Add the 259 to the initial price:
10,000 + 259 = 10,259
Increase that price by 25%, so multiply by 1.25:
10259 x 1.25 = 12,823.75
The price is then increased by another 10%, multiply by 1.10:
12,823.75 x 1.10 = 14,106.13
List price = $14,106.13
Layton conducts an experiment throughout the school year to determine the most common answer
choice used by teachers at his school. The data he collected is shown in the table.
Which of the following is a valid conclusion based on the data he collected?
A. A student would be equally likely to select answer choice C as they would to select answer
choice A and D
B. A student would be equally likely to select answer choice A and B as they would to select
answer choice C
C. A student would be twice as likely to select answer choice C than answer choice A
D. A student would be less likely to select answer choice B than answer choice A
Answer:
pick a because the data is better for that chart