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.
learn more about slopes here :
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Related Questions
Nancy decides to roll a die three times.
What's the probability that she will roll all
even numbers?
Answers
1/8
Step-by-step explanation:
The probability of rolling an even number on one roll is 3/6 = 1/2. Assuming the rolls are independent, the probability of rolling an even number 3 times is ...
(1/2)(1/2)(1/2) = 1/8
The probability that Nancy rolls all even numbers in 3 rolls is 1/8
Answer:
0.125
Step-by-step explanation:
fastbridge
Find the slope
please help
Answers
Answer:
5/2
Step-by-step explanation:
Rising, there are 5 squares. Running, there are 2 squares. The line is rising left to right, so the slope is positive.
Esmeralda received a bag of jellybeans that contained a mixture of regular flavored jellybeans and "surprise" jellybeans. The bag advertised that 15% of the jellybeans were "surprise" flavors. If she counted 40 jellybeans in the bag, how many should she expect to be the "surprise" jellybeans?
Answers
Answer:
6 jellybean
Step-by-step explanation:
Given that:
Esmeralda received a bag of jellybean the contains regular flavored jelly beans and surprise jelly bean.
Consider the regular flavored jellybean to be = r; &
The surprise jelly bean.= s
From the bag, there are 40 jellybeans of which 15% is surprise jellybean.
Therefore the number of expected surprise jellybeans is:
= total number of jellybeans × percentage of surprise jellybean
= 40 × (15 /100)
= 6 jellybean
If 6 surprise jellybean is presented in the bag; then the number of regular flavored jellybean = 40 - 6 = 34 regular flavored jellybean
one factor of 8x^3+1 is 2x+1 The other factor is?
Answers
So that you have 2^3*x^3+1
Multiply the terms with equal exponents by multiply the bases (1 is basically the same as 1^3)
So that it becomes (2x)^3+1^3
Then, using a^3+b^3 equals (a+b)(a^2-2ab+b^2), factor the expression so that it becomes
(2x+1)((2x)^2-2x+1^2)
Expand the second bracket
So the two factors are (2x+1) and (4x^2-2x+1)
Y=|x+2|-3 find the axis of symmetry
Answers
is 6^p > 0, then p > 0. Is this statement true, sometimes true, or not true?
Answers
Answer:
true
Step-by-step explanation:
I need help solving this ! I would appreciate it
Answers
Answer:
-1 > -2
Step-by-step explanation:
-9 ÷ (3(3) > -2
-9 ÷ 9= -1
-1 > -2
this is true
1) 15 = 2W - 5
2) 24 = 2x - 9
Answers
9514 1404 393
Answer:
1) W = 10
2) x = 33/2
Step-by-step explanation:
These are 2-step linear equations. Step 1: Add the opposite of the constant on the right. Step 2: Divide by the coefficient of the variable.
__
1) 15 = 2W -5
20 = 2W . . . . . add +5
10 = W . . . . . . . divide by 2
__
2) 24 = 2x -9
33 = 2x . . . . . add +9
33/2 = x . . . . divide by 2
_____
As always, whatever you do to one side of the equation must also be done to the other side. That is, the same number is added to both sides; both sides are divided by the same number.
What is the solution set to this inequality??
x^2-12x+35<_ 3
Answers
-8,-6,-4
-10,-6,0
these are the possible test points for your three intervals
Answer:
4≤x≤8
Step-by-step explanation:
Who can answer my question in square LMNO find the length of LM
Answers
Answer:
10 units
Step-by-step explanation:
LMNO is a square.
All sides of square are equal
MN = LM
3x + 1 = x + 7
3x - x = 7 - 1
2x = 6
x = 6/2
x = 3
LM = x + 7 = 3 + 7 = 10
LM = 10 units
if rst ≅ npq, m∠r = -7x +9, m∠n= -10x, find m∠r and m∠n
Answers
Answer:60
Step-by-step explanation: x=10
-7+9=2*10=20
-10*10=100
180-100-20=60
help me please and thank you
Answers
Answer:
4 dollars per pint. You can 0.25 pint per dollar. For 20 dollars
u can get 5 pints. 8 pints will be 32 dollars.
Answer:
Per pint is $4
You get a .25 pint for 1 dollar
You get 5 pints for $20
It cost $32 for 8 pints of raspberries
Step-by-step explanation:
Once you find the unit rate you can multiply and divide depending on the question.
how can you determine the additive inverse of a number. What is the sum of a number and its additive inverse?
Answers
Answer:
An example can be 14 + (-14) = 0
Whenever you encounter a problem like the one I put, your answer should ALWAYS be 0 because you start with 14. Now take away 14 you end up with 0.
Step-by-step explanation:
Hope this helps!
At midnight what temperature is -6C. At midday the temperature is -9C. By how much did the temperature rise ?
Answers
Answer:
It didn’t go up, it went down 3 degrees
Step-by-step explanation:
It’s negative degrees so the less negative it is the higher it is.
Answer:
it rose by -3C, or went down 3C
Step-by-step explanation:
1. Martin was given 10 math problems, and he has answered 7 of them. what precent of problems does martin have left to do?
A) 3%
B) 7%
C) 30%
D) 70%
Answers
Martin still has 30% of the problems left to do.
Answer:
D)30%
Step-by-step explanation:
Which equation represents a line with a slope of -2/3
and passes through the point (6,-2)?
Answers
hope this helped!!
50 POINTS!!! If you’re a frequent flyer who travels to many different airports, and you have a choice between SkyWest Airlines (OO) and Southwest Airlines (WN) for all your flights, which carrier should you choose if your primary concern is arriving on time?
Answers
Answer:
Southwest
Step-by-step explanation:
Southwest always has good timing.
Answer:
SouthWest airlines
Step-by-step explanation:
It is the best Airlines and will always arrive on time
The graph shows the amount of money paid when purchasing bags of peanuts at the zoo:
I REALLY NEED HELP!!!
A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 13. Four points are shown on the graph on ordered pairs 0, 0 and 1, 4 and 2, 8 and 3, 12. These points are joined by a line. The label on the x-axis is Bags of peanuts. The title on the y-axis is Total cost in dollars.
What does the point (0, 0) on the graph represent? (4 points)
a
The cost of one bag of peanuts
b
The cost of zero bags of peanuts
c
The cost of two bags of peanuts
d
The cost of three bags of peanuts
Answers
Answer:
B, the cost of 0 bags
Step-by-step explanation:
Answer:
b) The cost of zero bags of peanuts
Explanation:
Because it is at (0,0), that means it's at $0 and 0 bags of peanuts based on the labels for the x and y axis.
A conveyor belt carries supplies from the first floor to the second floor, which is 22 feet higher. The belt makes a 60° angle with the ground. a. How long is the conveyor belt? Round your answer to the nearest foot. b. If the belt moves at 75 ft/min, how long does it take the supplies to move to the second floor? Round to the nearest tenth.
Answers
Answer:
a) 44[tex]\sqrt{3}[/tex]/3 feet
b) .3 minutes
Step-by-step explanation:
We know all three of the angles: 30 60 90. So we can divide 22 by [tex]\sqrt{3}[/tex], and then multiply that number by 2. We cannot have a radicand in the bottom, so multiply the denominator and numerator by
for b), simply divide a) by 75 ft/min, which is approximately .3 minutes.
Find the diagonal of the box using the Pythagorean Theorem.
Answers
Answer:
26 cm
Step-by-step explanation:
Given:
Length = 24 cm
Width = 8 cm
Height = 6 cm
Required:
Diagonal of the box
SOLUTION:
Using the pythagorean theorem, [tex] a^2 + b^2 + c^2 = d^2 [/tex], where,
a, b and c are the dimensions of the box, and d is the length of the diagonal.
Plug in the value into the formula
[tex] 24^2 + 8^2 + 6^2 = d^2 [/tex]
[tex] 676 = d^2 [/tex]
[tex] \sqrt{676} = \sqrt{d^2} [/tex]
[tex] 26 = d [/tex]
Length of diagonal of the box = 26 cm
ILL MARK AS BRAINLESS PLS HELP
Answers
Answer:
5765/574
Step-by-step explanation:
there u go lol
which statement is true
Answers
Answer:
the answer is B that is
ΔABC is similar to ΔEDC
Step-by-step explanation:
look at the figure abc and edc completely match together as a is a right angle and is at the the first, similarly e is also a right angle and is at the first. also b is at the same place as d i.e. in between the right angle and the last angle.
moreover, c is at the last in abc just like in edc
Factor completely 5b^2-11b+6
Answers
Answer:
(b - 1) (5b - 6)
Step-by-step explanation:
A certain manufacturing plant produces electric fuses of which 20% are defective. Find the probability that in a sample of 8 fuses selected at random there will be atleast one defective and not more than one defective.
Answers
Answer:
0.419
Step-by-step explanation:
To calculate this, we shall make use of Bernoulli approximation of Binomial distribution
if 20% are defective, then 80% are not defective
Probability of selecting a defective fuse is 20/100 = 0.2
Probability of selecting a non defective one is 0.8
Probability of at least 1 being defective is = 1 - Probability of none being defective
Mathematically that will be;
0.8^8 = 0.168
The above is probability of none defective
So the probability of at least one will be
1 - 0.168 = 0.832
Probability of not more than 1 means;
Probability of none + probability of 1 being defective
We already have probability of none above
Probability of 1 being defective means 8 will be non defective
The probability in this case is;
8 C 1 0.2^1 0.8^7
= 8 * 0.2 * 0.8^7 = 0.336
Add this to the probability of none = 0.336 + 0.168 = 0.504
So the probability that we want to calculate from the question will be;
Probability of at least one defective * probability of not more than one defective
= 0.832 * 0.504 = 0.419
I need the measure of angle 6
Answers
Answer:
125°
Step-by-step explanation:
x + 24 is equal to 1.
6 is equal to 4x + 1
1 and 4x + 1 = 180°
x + 24 + 4x + 1 = 180
4x + x + 24 + 1 = 180
5x + 25 = 180
5x = 180 - 25
5x = 155
5x/5 = 155/5
x = 31
(angle) 6 = 4x + 1
(angle) 6 = 4(31) + 1
(angle) 6 = 124 + 1
(angle) 6 = 125°
Two random integers, a and b, are independently chosen, with replacement, from 1 to 1000, inclusive. What is the probability that both 2^a 2^b and 3^a 3^b are multiples of 5
Answers
Answer:
The probability is zero
Step-by-step explanation:
For a number to be a multiple of 5, the number must end with either 0 or 5
These are the only numbers in which we can have 5 as a factor of
Now when we raise 2 to any number, there are only some sets of possible results
These numbers are only multiples of 2
These can be;
2, 4, 6 and 8
No root of two has its end in 0 or 5, so none has 5 has its factor
Let us now look at 3
The multiples of 3 when raised are;
3,9,1,7,
As we can see, at no point do we have 5 or 0 as the result
So since we have none of both as ending 5 or 0, the probability we are looking for is zero
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP
Answers
please help me I really need help !!!!!!! ALSO IF YOU WANT BRAINLEST YOU HAVE TO SHOW HOW YOU GOT IT !
Answers
Answer:
I think is (x+0,5)^{2} - 6,25
Step-by-step explanation:
a(x-h)square + k
Answer: y = x² + x - 6
the equation is y = ax² + bx + c (a ≠ 0)
see in the graph, the equation passed through (-3;0), (2;0) and (0;-6), so we have:
9a - 3b + c = 0
4a + 2b + c = 0
c = -6
=> a = 1
b = 1
c = -6
=> the equation is y = x² + x - 6
Step-by-step explanation:
The sum of the first (n) terms of the sequence is given by the formula (given below) . If this sequence is a geometric progression, find q. If this sequence is an Arithmetic progression, find d
Answers
Answer:Example 1:
Find the sum of the first 8 terms of the geometric series if a1=1 and r=2.
S8=1(1−28)1−2=255
Example 2:
Find S10 of the geometric sequence 24,12,6,⋯.
First, find r.
r=r2r1=1224=12
Now, find the sum:
S10=24(1−(12)10)1−12=306964
Example 3:
Evaluate.
∑n=1103(−2)n−1
(You are finding S10 for the series 3−6+12−24+⋯, whose common ratio is −2.)
Sn=a1(1−rn)1−rS10=3[1−(−2)10]1−(−2)=3(1−1024)3=−1023
In order for an infinite geometric series to have a sum, the common ratio r must be between −1 and 1. Then as n increases, rn gets closer and closer to 0. To find the sum of an infinite geometric series having ratios with an absolute value less than one, use the formula, S=a11−r, where a1 is the first term and r is the common ratio.
Example 4:
Find the sum of the infinite geometric sequence
27,18,12,8,⋯.
First find r:
r=a2a1=1827=23
Then find the sum:
S=a11−r
S=271−23=81
Example 5:
Find the sum of the infinite geometric sequence
8,12,18,27,⋯ if it exists.
First find r:
r=a2a1=128=32
Since r=32 is not less than one the series has no sum.
Step-by-step explanation:
mga solusyon sa epektibong komunukasyon sa pamilya
Answers
Answer:
Translation: Solutions to effective family education
Step-by-step explanation: