The function f(x) is represented by this table of values .Match average rate of change of f(x) with corresponding intervals
Answers
If fx(x) changes from f(x₁) to f(x₂), the rate of change is
Rate = [f(x₂) - f(x₁)]/(x₂ - x₁)
From the table, we can compute rates of change as follows:
Change in x Change in f(x) Change in x Rate
----------------- -------------------- ----------------- ---------
[-4,-2] 0 - (-12) = 12 0 - (-2) = 2 6
[-2, 1] 3 - 0 = 3 1 - (-2) = 3 1
[-3, 1] 3 - (-5) = 8 1 - (-3) = 4 2
[-4, 0] 4 - (-12) = 16 0 - (-4) = 4 4
Related Questions
The cycling tour has 340 bottles of water for each week. There are ten people on the tour. How many bottles of water is that for each person per week?
Answers
Someone please answer this for me
Answers
$15/$1.25 each= 12 gallons
Final answer: C
PLEASE HELP!
Cynthia is constructing a circle inscribed in a triangle.She has partially completed the construction as shown below.What should her next step be in the construction (worth 50 points)
A. Connect vertex B to the arc markings to complete the angle bisector
B.use a straightedge to find the angle bisectors for angles A and B
C. Connect three arc markings together to form the triangle
D.use the arc markings to determine the radius to construct the circle
Please explain!
Answers
The correct next step that Cynthia should do is to:
D. use the arc markings to determine the radius to construct the circle
The arc markings are actually used as the baseline in determining the center and the radius of the circle. The arc markings are created with the use of a compass. All other choices are completely irrelevant because what we need is the arc and not the angles. The angles do not create the circle. Letter C is also wrong because what we are trying to form is the circle and not the triangle. The triangle is already created.
Annie found that 57 students in her school knew French and 23 of those students knew Spanish, as well. There were 11 students who did not know French but knew Spanish. There were 4 students who knew neither French nor Spanish. Which table best summarizes the data collected by Annie?
Knew Spanish Did not know Spanish Total
Knew French 57 34 91
Did not know French 11 4 15
Total 68 38 106
Knew Spanish Did not know Spanish Total
Knew French 12 34 46
Did not know French 11 4 15
Total 23 38 61
Knew Spanish Did not know Spanish Total
Knew French 23 34 57
Did not know French 11 4 15
Total 34 38 72
Knew Spanish Did not know Spanish Total
Knew French 23 34 57
Did not know French 4 11 15
Total 27 45 72
Answers
Answer:
Table C is the correct option.
Step-by-step explanation:
We are given,
Number of students which knew French = 57
Number of students which knew both French and Spanish = 23
Number of students which knew Spanish but not French = 11
Number of students which knew neither French nor Spanish = 4
So, we get that,
Number of students not knowing French = 57 - 23 = 34
Hence, the table for the given situation is,
Knew Spanish Did not know Spanish Total
Knew French 23 34 57
Did not know French 11 4 15
Total 34 38 72
Thus, option C is correct.
option C is correct-
Please help ill give brainiest to who helps
Joey intends to roll a six-sided number cube 100 times. What probability model can he use to predict whether or not each roll will give a result that is divisible by 3? A. Each roll has a 0.117 probability of being divisible by 3. B. Each roll has a 0.333 probability of being divisible by 3. C. Each roll has a 0.5 probability of being divisible by 3. D. Each roll has a 0.667 probability of being divisible by 3.
Answers
there are 2 numbers that could be divisible by 3, either 3 or 6
so there is a 2/6 probability
2/6 = 0.333
so the answer is B
Put these substances in order of density with the most dense first and the least dense last.
air
pumpkin pie
whipped cream
steel
Answers
Answer: Hello there!
We know that:
[tex]density = \frac{mass}{volume}[/tex]
This means that two of two objects whit the same size ( volume) the heaviest one is the more dense object.
The 4 that we have here are:
Air, Pumpkin pie, Whipped cream, and Steel
It is easy to assume that the steel is the more dense object.
The pumpkin pie comes second
third is the whipped cream, which is cream with a lot of tiny air bubbles inside
the less dense object is the air.
then the order is:
Steel, pumpkin pie, whipped cream, air.
How many ways can a librarian arrange 15 books on a top shelf if she has 20 books from which to pick?
Answers
Answer: 20!/5!
Step-by-step explanation:
WILL GIVE BRAINLIEST!!!
Which of the following equations represents an inverse variation?
A.
6y = x
B.
1/2y = 1/x
C.
–x = y + 8
D.
y = 1/4x
Answers
An equation typically used to represent inverse variation is y = k/x, where k is the "constant of proportionality for inverse variation."
6y = x does not represent inverse variation, since y increases when x increases or x increases when y increases. This is an example of direct proportion and is thus not an answer.
1/2y = 1/x should be written as (1/2)y = 1/x, to emphasize that (1/2) is a coefficient of y. Let's solve for y to see what form the resulting equation has:
(1/2)y = 1/x => y = 2/x. This has the form y = k/x, and thus represents inverse variation. y decreases when x increases.
–x = y + 8 is a linear equation and thus could not possibly represent inverse proportion. The "offset," +8, also makes it impossible for –x = y + 8 to represent direct variation. Reject this answer choice.
y = 1/4x has the form y = (1/4)x, which resembles a rule for direct variation.
Note, however, that if you really meant y = 1 / (4x), or y = (1/4)(1/x), then this would be a case of inverse variation.
The only answer choice in this problem that clearly represents indirect variation is (1/2)y = 1/x (as I have already said, above).
Answer:5
Step-by-step explanation:
1/2y=1/x
y=2/x
A business’s assets are valued at $600,000, and the value depreciates 20% per year. Using the formula V(t) = V0(b)t, what is V0, what is (b), and what is the value of the assets after 5 (t) years? Show your work.
t = 5
V0 =
(b) =
Value after 5 years:
Answers
V (t)=V0(b)^t
V (t) the value of the assets after 5 (t) years ?
V0 current value of assets 600000
B=1-0.20=0.8
T 5 years
So the value of assets after 5 years is
V (5)=600,000×0.8^(5)=196,608
Doug entered a canoe race. he rowed 3 1/2 miles in 1/2 hours what is his average speed in miles per hour
Answers
7miles/1hour
7mph
.
A puzzle contains a triangular piece with a base of 3 in. and a height of 4 in. A manufacturer wants to make 80 puzzles. Find the amount of wood used if each puzzle contains 20 triangular pieces.
Answers
I believe this question asks for the total amount of area of wood that is needed to make 80 puzzles.
The formula for area of triangle is given as:
A = (1 / 2) b h
where,
b = is the base of the triangle = 3 in
h = height of the triangle = 4 in
So calculating for area of 1 on triangle (A1):
A1 = (1 / 2) (3 in) (4 in)
A1 = (1 / 2) 12 in^2
A1 = 6 in^2
We are given that we are to make 80 puzzles and each puzzle has 20 triangles, therefore the total amount of triangles we need to make is:
n = 80 * 20
n = 1600
Therefore the total area needed (A) is:
A = A1 * n
A = 6 in^2 * 1600
A = 9,600 in^2
Which of the expressions are equivalent to the one below? Check all that apply. (10 + 8) • 2
Answers
distributive
a(b+c)=ab+ac
in this case
2(10+8)=(2*10)+(2*8)
so it is B
also commutative
a+b=b+a
(10+8)(2)=(8+10)(2)
So B and D are the correct answers
18×2=36
B and D are equivalent to (10+8) · 2
Hope this helps : )
You invest $300 in an account that has an interest rate of 1.3%, compounded monthly. How much money is in the account after 20 years? Round your answer to the nearest whole number.
Answers
A=p (1+r/k)^kt
A future value?
P present value 300
R interest rate 0.013
k compounded monthly 12
T time 20 years
A=300×(1+0.013÷12)^(12×20)
A=389.02
Answer:
$389
Step-by-step explanation:
The formula for final value of compound interest is given by
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Here, we have
P = $300
r = 0.013
t = 20 years
n = 12
Substituting these values and find A
[tex]A=300(1+\frac{0.013}{12})^{12\cdot20}\\\\A\approx389[/tex]
Therefore, in 20 years, the account will have $389.
Can anyone PLEASE help geometry is my worst subject!
Answers
The square root of 12 is between A.) 3 and 4 B.) 4 and 5 C.) 5 and 6 D.) 6 and 7
Answers
-Your answer to this question is letter A.
-Correct me if I'm wrong. (:
√9 = 3 and √16 = 4, so
√12 is between 3 and 4
find a1 for the geometric series with r=3 and s6=364
Answers
what are the domain and range for each of the following functions? write your answer using inequality symbols of possible PLEASE HELP :) ( on both graphs)
Answers
The Domain is the set of all first coordinates, the x'es.
The Range is the set of all the second coordinates, the y's.
1.
We can see the points (-2, 0), (-1, 1) and (2, -1)
Domain={-2, -1, 2} Range={-1, 0, 1}
2.
We see that x can be any value such that -1<x≤1
and y can be any value such that -1≤y<2
so
Domain: x, such that -1<x≤1
Range: y, such that -1≤y<2
The size of a bicycle is determined by the diameter of the wheel. You want a 24-in bicycle for Christmas. What is the circumference of one of the wheels? A 75.4 in B 75.3 in C 37.7 in D 37.6 in
Answers
The circumference of one of the wheels is:
Option: A 75.4 in.
Step-by-step explanation:The 24-in bicycle means that the diameter of the wheel of the bicycle isL 24 in.
We know that the wheel of the bicycle is in the shape of a circle.
This means that the diameter of circle is: 24 in.
Hence, the radius(r) of circle is: 12 in.
( since we know that the radius(r) of the circle is half the diameter(d) of the circle)
Now, we are asked to find the circumference of the circle.
The circumference(C) of the circle is given by:
C=2πr
i.e.
C=2×3.14×12
i.e.
C=75.36 in.
which to the nearest tenth is: C=75.4 in.
Segment RT is a mid-segment of triangle CDE. What is the length of segment CE?
A) 38 in.
B) 32 in.
C) 24 in.
D) 9.5 in.
Answers
so CE = 2(RT) = 2(19) = 38
answer
A. 38
Find Y of the polygon
Answers
If you look at the large triangle on the left where the corner angles are 35 and 80 and 20+an unknown angle. We can work out the missing angle by doing 180-80-35-20= 45.
And so if we use the fact that alternate angle must be equal then y= 45 degrees (I think!)
65° - 20° = 45°
y = 45° (alt. ∠s)
Quadrilateral LMNO is transformed according to the rule T(–2, 4). What are the coordinates of L’? (3, –3) (3, 5) (9, –1) (9, 3)
Answers
A transformation specified with a rule T (x, y) means that the figure is undergoing a process of translation. Translation means that only the positions of the coordinates are changed with no other change on the angle, lengths or any other characteristic aside from the position alone.
So since the rule is T (-2, 4) then this means that the figure is moved 2 units left and 4 units up.
The initial coordinates of point L is:
point L = (5, 1)
The coordinates of L’ then is:
point L’ = L(5, 1) + T(-2, 4)
point L’ = (5 – 2, 1 + 4)
point L’ = (3, 5)
Answer:
(3, 5)
(3,5) is the answer.
12 POINTS PLZ HELP ONLY HAVE 3 MINUTES LEFT
Which statement about histograms is true?
Data is organized in categories.
Data appears as bars that are all about the same height.
Data is organized in equal intervals.
Data appears as bars that do not touch.
Answers
Answer:
c
Step-by-step explanation:
The correct statement about Histogram is Data is organized in equal intervals.
What is Histogram?A histogram is a graphical representation of discrete or continuous data. The area of a bar in a histogram is equal to the frequency. The y -axis is plotted by frequency density (which is proportional to the frequency) and the x -axis is plotted with the range of values divided into intervals.
Given:
Equal in breadth and corresponding to equal class intervals are the bars. However, they can occasionally be displayed as a wider variety within their groups, such as in size classes.
The width and data being achieved, for instance, forces a true event of varying class sizes in education upon the base of the graph.
and, for the purpose of displaying evenly spaced-out numerical data. The bars should be in close proximity to one another but not overlap. You can view the frequency distribution of the data or the number of pieces of data contained in each interval using these intervals.
Learn more about histogram here:
https://brainly.com/question/16819077
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Segment DE is midsegment of triangle ABC. What is the length of segment DE?
A) 5
B) 10
C) 15
D) 20
Answers
2X+10=X+15
X=5
A) 5 :)
Answer:
B) 10
Step-by-step explanation:
If DE is midsegment of the triangle, we know that AC measures twice as DE.
In the problem we have that AC = x + 15 and DE = x + 5
Writing this as an equation we have:
[tex]x + 15 = 2(x+5)\\x+15=2x +10\\15-10=2x-x\\5=x[/tex]
Therefore x = 5 and the length of segment DE is:
x + 5 = 5 + 5 = 10
Therefore the correct answer is B) 10
In EFG, mE = 30, mF = 60, and mG = 90. Which of the following statements about EFG are true?
Answers
Statements B, C, and F are all true based on the given angle measures in triangle EFG.
Let's reevaluate the statements with the given angle measures in triangle EFG:
m∠E = 30°
m∠F = 60°
m∠G = 90°
A. FG = √3/2 EF
FG = (EF * √3) / 2
This statement is true. FG is indeed equal to √3/2 EF.
B. EG = √3/2 EF
EG = (EF * √3) / 2
This statement is true. EG is equal to √3/2 EF.
C. EG = -√3 FG
EG = -√3 * FG
This statement is true. EG is equal to -√3 FG.
D. EF = -√3 FG
EF = -√3 * FG
This statement is true. EF is equal to -√3 FG.
E. EG = 2 FG
EG = 2 * FG
This statement is true. EG is equal to 2 FG.
F. EF = 2 FG
EF = 2 * FG
This statement is true. EF is equal to 2 FG.
Statements B, C, and F are all true based on the given angle measures in triangle EFG.
for such more question on statements
https://brainly.com/question/31070625
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In a right triangle angle C measures 40 degrees. The hypotenuse of the triangle is 10in long. What is the approximate length of the side adjacent to angle C?
Answers
Triangle FGH is a right triangle. Angle G is a right angle, m∠F = 9x – 1, and m∠H = 3x + 7. What is m∠F?
Answers
< F + < G + < H = 180
9x - 1 + 90 + 3x + 7 = 180
12x + 96 = 180
12x = 180 - 96
12x = 84
x = 84/12
x = 7
so < F = 9x - 1 = 9(7) - 1 = 63 - 1 = 62 <=====
< G = 90
< H = 3x + 7 = 3(7) + 7 = 21 + 7 = 28
added : 62 + 90 + 28 = 180
G = 90 (because it's a right angle)
F = 9x - 1
H = 3x + 7
90 + (9x - 1) + (3x + 7) = 180
(9x - 1) + (3x + 7) = 90
12x + 6 = 90
12x = 84
x = 7
now that we have x, we can find out the measure of angle F.
9(7) - 1
63 - 1
62
angle F is 62 degrees
A convex polyhedron has 30 edges and 8 fewer vertices than faces. How many faces does the polyhedron have? Euler’s formula: V + F = E + 2 12 18 20 24
Answers
Answer:
C or 20
Step-by-step explanation:
Just got the answer on Edge :)
Answer:
c
Step-by-step explanation:
Answer both please !
Answers
36) the equation would be: 44 x 0.63 =
37) 6.1% = 0.061
59150 x 0.061 = 3608.15 increase
Point C is the center of the circle. The measure of angle ACB is 12x – 7. Arc AB measures 10x + 7. Find the value of x.
Answers
bear in mind that, arcs get their angle measurement from their central angle. Thus, those two are equal.
Answer:
x=7
Step-by-step explanation:
Subtract 10x
from both sides of the equation.
12x−7−10x=7
Subtract 10x
from 12x
2x−7=7
Add 7
to both sides of the equation.
2x=7+7
Add 7 and 7
2x=14
Divide each term by 2 and simplify.
x=7
is this correct? if not please let me know how to solve it
Answers
You have applied the distributive law.