Does Function A or Function B have a greater rate of change over the Interval x=2 to x-47 Justify and explain your choice. (Do you like that they can't see the point (4,?) in the graph? If not you can change the interval to x-1 to x=3)
Answers
Answer:
Function BStep-by-step explanation:
Function Ax = 2 ⇒ y = - 4x = 4 ⇒ y = 6Rate of change
(6 - (-4))/(4 - 2) = 10/2 = 5Function Bx = 2 ⇒ y = 2² + 1 = 5x = 4 ⇒ y = 2⁴ + 1 = 17Rate of change
(17 - 5)/(4 - 2) = 12/2 = 6Since 6 > 5, the function B has greater rate of change in the given interval
Answer:
Function B
Step-by-step explanation:
The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:
[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]
Given interval: 2 ≤ x ≤ 4
Therefore: a = 2 and b = 4
Function A
From inspection of the given table:
f(2) = -4f(4) = 6Substituting these values into the formula:
[tex]\implies \textsf{Average rate of change}=\dfrac{f(4)-f(2)}{4-2}=\dfrac{6-(-4)}{2}=5[/tex]
Function B
Given function: [tex]y=2^x+1[/tex]
[tex]\implies f(2)=2^2+1=5[/tex]
[tex]\implies f(4)=2^4+1=17[/tex]
Substituting these values into the formula:
[tex]\implies \textsf{Average rate of change}=\dfrac{f(4)-f(2)}{4-2}=\dfrac{17-5}{2}=6[/tex]
As 6 > 5, function B has a greater rate of change over the interval 2 ≤ x ≤ 4
Related Questions
Graph the line with slope
2.
passing through the point (-3, 3).
3
1
?
13
Answers
The graph of the line with the given slope that passes through (-3, 3) is shown in the image attached below.
What is the Equation of a Line in Slope-intercept Form?The equation in slope-intercept form of a line, is y = mx + b, where:
b = y-intercept
m = slope = change in y/change in x.
Given a line with slope = 2 and passes through (-3, 3), plug in m = 2 and (a, b) = (-3, 3) into y - b = m(x - a) to write the equation of the line
y - 3 = 2(x - (-3))
Rewrite in slope-intercept form
y - 3 = 2x + 6
y = 2x + 6 - 3
y = 2x + 3
Therefore, the graph of the line with the given slope that passes through (-3, 3) is shown in the image attached below.
Learn more about slope-intercept form on:
https://brainly.com/question/1884491
+3=17
x
+
3
y
=
17
−+2=8
−
x
+
2
y
=
8
Step 1: Find the LCM to eliminate the x.
Step 2: Write the new equation.
Step 3: Divide to solve for y.
Answers
Answer:
1
Step-by-step explanation:
Express 10/1,000 as a decimal
Answers
just count how many zeroes are in 1000 (3) and then move 3 times to the left which gives you 0.01
Answer:
0.01
Step-by-step explanation:
hope this helps -_-
The length of a rectangle is 8 more than the width. The area is 65 square centimeters. Find the length and width of the rectangle.
Answers
Answer: The width of the rectangle is 5 cm and the length is 13 cm
Step-by-step explanation:
Let the width be x cm
Let the length be (x+8) cm
Area = 65cm²
[tex]\Rightarrow x(x+8)=65 \ [\because$ Area of rectangle $=$ length $\times$ width $]$ \\$\Rightarrow x^{2}+8 x-65=0 \Rightarrow x^{2}+13 x-5 x-65=0$ \\$\Rightarrow x(x+13)-5(x+13)=0 \Rightarrow(x+13)(x-5)=0$ \\$\Rightarrow x=-13$ or $x=5$ \\But width car't be negative. so $x=5$ \\[/tex]
Therefore:
Width = 5 cm
Length = 5 + 8 = 13 cm
GIVING BRAINLIEST!! need this rlly soon thank you so much!
Answers
Answer:
Large - PR - 15 and QR - 9 Missing degrees is P - 37
Small - Missing degree is 53
They are similar because they have the exca same degrees and if you divided by 3 on each side of the larger triangle you get the small triangle.
Step-by-step explanation:
Pythagorean theorem
A,B,C,D are points on the circumference of a circle centre o
ed is a tangent to the circle
angle odb = 25
work out angle bad
Answers
The points A,B,C,D make up the circumference of the circle
The measure of angle BAD is 65 degrees
How to determine the measure of angle BAD?The measure of angle ODB is given as:
ODB = 25 degrees
Considering the triangle BOD, we have:
ODB + BOD + DBO = 180
Where:
ODB = DBO = 25
So, we have:
25 + BOD + 25 = 180
Solve for BOD
BOD = 130 degrees
The angle at an arc is twice the angle at the circumference.
So, we have:
BOD = 2 * BAD
Substitute 130 for BOD
130 = 2 * BAD
Divide both sides by 2
65 = BAD
Hence, the measure of angle BAD is 65 degrees
Read more about angle measures at:
https://brainly.com/question/17972372
in 1961 yuri gagarin became the first man to orbit the sun he traveled for 108 minutes at an average speed of 235 miles per minute how many miles did he travel
Answers
Answer:
25,380 miles
Step-by-step explanation:
108 minutes × 235 = 25,380
How many metres are there in 2 kilometres?
Answers
Answer:
2000 metres
Step-by-step explanation:
1000 metres = 1 km
therefore, (1000×2) metres = 2 km
2000 metres = 2km
I need help with a math problem.
Answers
Answer:
where is the problem?
I NEED HELP ON THIS QUESTION (I will give a Brainlist to the best one no links please.)
Answers
Answer:
1. 84.7
2. 24
3. 47.5
4. 57.5
Step-by-step explanation:
your welcome and mark as brainliest pls
De 17 estudiantes 4 hablan frances, si se seleccionan 3, ¿cuál es la probabilidad de que ninguna habla frances?
Answers
Esta es una cuestión de probabilidad condicional, y la resolución podría ser la siguiente:
Estudiantes seleccionados ÷ ninguno habla francés3 / (17 - 4) = 3/13¿Qué es la probabilidad condicional?Corresponde a un concepto matemático que involucra la probabilidad de que ocurran dos eventos, es decir, la probabilidad de que ocurra el evento A, sabiendo que el evento B ya ocurrió.
Por lo tanto, la probabilidad de que ningún estudiante hable francés es 3/13 o 23%.
Encuentre más información sobre la probabilidad condicional aquí:
https://brainly.com/question/18735028
I need to know the answer now please and thank you
Answers
When the y-value of the f line is -4 the y-value of the g line is -4
Joanne earns $3,000 per month at her job at the department store. If her taxes are 28 percent of her pay, what is her monthly take-home pay?
Answers
So 28 percent of 3000$ is
3000*28/100 where 3000*28 is equal to
84000/100
840$ is 28 percent of 3000$
So to fine the remaining amount of money after she pays that amount is
3000$-840$
Which is equal to 2160$
What are the sum of the interior angles in an irregular octagon?
Answers
Answer:
1080
Step-by-step explanation:
Use formula
Sum of in. angle=(n-2)*180
Answer:
1080°
Step-by-step explanation:
To find the sum of interior angles, use the formula: 180(n-2). Input '8' as 'n'.
180(8-2)
180(6)
1080°
Therefore, the sum of interior angles of an irregular octagon is 1080
Three neighbors plan to complete fencing projects this spring. As shown in the diagrams below, Neighbor A plans to fence in his rectangular backyard with a 6-foot tall wooden privacy fence. Neighbor B plans to construct a circular chain link fence around his pool. And, Neighbor C is putting a vinyl fence around three side of his front yard. Note: Diagrams are not drawn to scale. Intended fences are marked with a dashed line.
Neighbor A:
Neighbor B:
Neighbor C:
Neighbor A can put up three 8 foot sections of wood fencing in two hours.
Neighbor B can put up 15 feet of chain link fencing each hour.
Neighbor C can put up 1 yard of vinyl fencing in half an hour.
Which neighbor's fencing project will take the least amount of time to complete?
Which neighbor's fencing project will take the most amount of time to complete?
Answers
Answer:
i think c
Step-by-step explanation:
Answer:
Neighbor C will take the least amount of time and Neighbor B will take the most amount of time. Let me know if i'm right!
Step-by-step explanation:
I hope this helps! Have a good weekend!! :)
convert y = -0.5(x + 4)^2 - 2 standard form
Answers
Answer:
I think the answer is: y = 0.5x^2 + 4x + 6, <3
Step-by-step explanation:
Hello I would really appreciate if someone could help me with this math question. I’m so confused
Answers
Answer:
a. f = 17.5/c
b. 8.75 N
Step-by-step explanation:
(a)Inverse variation means one variable is proportional to the inverse of the other. The equation for that is ...
f = k(1/c) . . . . . . force (f) is proportional to the inverse of distance (c)
We find the value of k using data given for a specific instance.
3.5 N = k(1/(5 cm)) . . . . use the given values
17.5 N·cm = k . . . . . . multiply by the denominator
Then the equation of interest is ...
f = 17.5/c . . . . . . . where c is in cm, and f is in newtons
__
(b)Using the above equation, we find the force to be ...
f = 17.5/2 = 8.75 . . . . newtons
_____
Additional comment
We often look at several different kinds of proportionality:
y = kx . . . . directy = k(1/x) . . . . inversey = kx² . . . . proportional as the squarey = kx·z . . . . jointly proportional to x and zand there are combinations of these, such as ...
y = kr²h . . . . jointly proportional to h and the square of rYou may have noticed that when x and y are inversely proportional, their product is a constant. y = k/x ⇒ xy = k
__
We have left off the units of k in the problem above. Sometimes it is a good idea to retain them, or to pay close attention to what they are. This can avoid using the wrong measures for the variables.
f = (17.5 N·cm)/(2 cm) = 8.75 N . . . . . units of cm cancel
A researcher collected the heights of male seniors at a high school. The data collected are normally distributed with a mean of 70.21 inches and a standard deviation of 1.35.
What is the z-score of a high school senior who is 68 inches tall?
Enter your answer rounded to the nearest hundredth, like this: 4.23
Answers
Z = z-value
x = observed value
sd = standard deviation
Z = (68-70.21)/1.35
Z = -1.64 (this is below mean average)
WILL GIVE BRAINLIEST
Find the exact value of the indicated trigonometric functions using the given information.
Given: tan a=2.4, and π/2Find the exact value of the indicated trigonometric functions using the given information.
Given: tan a=2.4, and π/2find sin a and cot a
Answers
Answer:
Viewed as a right angled triangle
tan
(
x
)
=
5
12
can be thought of as the ratio of opposite to adjacent sides in a triangle with sides
5
,
12
and
13
(where
13
is derived from the Pythagorean Theorem)
So
sin
(
x
)
=
5
13
and
cos
(
x
)
=
12
13
Step-by-step explanation:
Use the proof above to answer the question: What reason can be used to prove that the triangles are congruent?
A. AAS B. ASA C. AAA D. SAS E. SSS
Answers
Answer:
E. SSS
Step-by-step explanation:
AB=BC (Given)
AD=CD (Midpoint)
BD=BD (common)
Therefore answer is : SSS
So can someone explain how the heck does 4 x 4 x 4 = 64??
Cause I keep on getting 12 so like wth??
Answers
Answer:
it is more like, 4x4=16
16x4=64
Step-by-step explanation:
I know it can be confusing, but you will eventually get it :)
i think you were adding 4+4+4=12, but that is not what you are supposed to do here.
Hope i helped :)
5>x/5
Show all work in steps
Answers
Answer:
[tex]\boxed{\sf{x < 25}}[/tex]Step-by-step explanation:
To find the value of x, isolate it on one side of the equation.
5>x/5First, you have to switch sides.
→ x/5<5
Then, you multiply by 5 from both sides.
→ 5x/5<5*5
Solve.
Multiply the numbers from left to right.
→ 5*5=25
→ x<25
Therefore, the solution is x<25, which is our answer.I hope this helps you! Let me know if my answer is wrong or not.
Answer:
25 > x
Step-by-step explanation:
[tex]5 > \frac{x}{5}[/tex]
To find the value of x, you have to multiply both sides by 5.
[tex]5*5 > \frac{x}{5}* 5[/tex]
[tex]25 > \frac{5x}{5}[/tex]
[tex]25 > x[/tex]
What is the median for the following set of data?
4, 4, 6, 10, 12, 13, 15, 16
a 12
b 10
c 11
d 16
Answers
Answer:
C
Step-by-step explanation:
The median is where we find the number that is in the middle of the data set. In this case, there cannot be a single number in the middle because the number of numbers in this data is even.
Knowing this, we need to add the two numbers that are in the middle (10 and 12). We add these two numbers and divide them by 2
[tex]\frac{10+12}{2} =\frac{22}{2} =11[/tex]
A chemist has three different acid solutions.
The first solution contains 15 % acid, the second contains 30 % acid, and the third contains 50 %
acid,
She created 78 liters of a 35 % acid mixture, using all three solutions. The number of liters of 50 %
solution used is 3 times the number of liters of 30 % solution used.
How many liters of each solution was used?
Answers
Answer:
Its 50 and it can reach 60
Help I don't understand this math. Whoever gets the right answer gets Brainlist! :)
Find the equation using this graph.
Answers
Answer:
the slope is 2
y=2x-1
Step-by-step explanation:
y(2)-y(1)/x(2)-x(1) is the formula for slope
-1-0/0-0.5=-1/0.5=2
however, it is looking for the equation
y=mx+b
(b=y intercept)
m=slope
y=2x-1
Answer:
Step-by-step explanation:
The equation of a line is y = m*x + b
So plug in the numbers...
the slope is the change in y over the change in x or (y - y₁)/(x - x₁)
(-1 - 0)/(0 - 0.5) = 2
so... m = 2
and b is the y-intercept which is -1
therefore the answer is: y = 2x - 1
PLEASE RATE!! I hope this helps!!
If you have any questions comment below
( I have verified my answer on an online calculator)
Which of the following values in the set below will make the equation 4x + 2 = 18 true?
{0, 1, 2, 3,4}
^^ those are the input numbers
Answers
Answer:
4
Step-by-step explanation:
subtract 2 on both sides you will get 4x=16 because 18-2=16 then divide both sides by 4 to get ×=4
4x+2=18
-2. -2
4×=16
4. 4
x=4
Solve using the square root property.X^2=-12
Answers
Answer:
x = ± 2i[tex]\sqrt{3}[/tex]
Step-by-step explanation:
note that [tex]\sqrt{-1}[/tex] = i
x² = - 12 ( take square root of both sides )
x = ± [tex]\sqrt{-12}[/tex] = ± [tex]\sqrt{4(3)(-1)}[/tex] = ± 2i[tex]\sqrt{3}[/tex]
Which coordinates best represents the vertex of the graph first correct answer gets Brianliest
Answers
Answer:
The vertex of the graph is:
the minimum point for a parabola that opens upwardsthe maximum point for a parabola that opens downwardsAs this parabola opens upwards, the vertex is the minimum point.
From inspection of the graph, vertex = (-3, -1)
Equation of the graph
From inspection we can see that the x-intercepts are when
x = -4 and x = -2
[tex]\sf x = -4 \implies x+4=0[/tex]
[tex]\sf x = -2 \implies x+2=0[/tex]
Therefore:
[tex]\sf y=(x+4)(x+2)[/tex]
Expand:
[tex]\sf \implies y=x^2+6x+8[/tex]
Answer:
[tex]B)f(x) = {x}^{2} + 6x + 8[/tex]
Step-by-step explanation:
Let [tex] f(x)=x^2[/tex] be the parent function. With transformation of function, firstly,we know that,
We can move it up or down by adding a constant to the y-valuealgebraically
g(x)=x²+CClearly, The parabola is moved down by 1 unit thus, C is -1. Therefore our function transforms to
f(x)=x²-1secondly, we know that,
We can move it left or right by adding a constant to the x-valuealgebraically,
g(x)=(x+C)²in case,
C is positive, g(x) moves to the left and vise versaSince the parabola is moved left by 3 unit, C is +3, and hence Our function eventually becomes
[tex]f(x) = (x + 3 {)}^{2} - 1[/tex]simplifying it yields:
[tex]\implies \boxed{f(x) = {x}^{2} + 6x + 8}[/tex]
Hence,B is our required answer
The expression below is a sum of cubes.
64x^3 + 125
A. True
B. False
Answers
Answer:
A True
Step-by-step explanation:
[tex]4^{3} x ^{3} + 5^{3} [/tex]
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answers
Step-by-step explanation:
y - x = 4x (vertically opposite angles)
y = 5x
4x+ y+x = 180
5x+5x = 180
x = 18
y = 90
