What is the average rate of change for this quadratic function for the interval from x = 0 to x = 2?
A. 4
B. 2
C. -4
D. -2
Answers
Answer:
Option B
Step-by-step explanation:
Average rate of change of a function between x = a and x = b will be,
Average rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]
We have to calculate average rate of change of the given quadratic function between x = 0 and x = 2.
From the given graph,
f(2) = 6
f(0) = 10
Therefore, average rate of change = [tex]\frac{f(2)-f(0)}{2-0}[/tex]
= [tex]\frac{10-6}{2-0}[/tex]
= 2
Option B will be the answer.
Related Questions
Use a Pythagorean Triple to find the value of x. 8,17
Answers
Answer:
a+B=c. x+8=17. x+8-8=17-8.
x=9
Question 4
In order to ensure that the roof consists of right angles, an architect measures the diagonal to create a triangle. If the dimensions of the
triangle are 9.5 feet, 16 feet, and 18.5 feet, is the triangle a right triangle?
Answers
Answer:I have a question
Step-by-step explanation:
About that question is it a right triangle or no
The triangles with side lengths 9.5 feet , 16 feet and 18.5 feet is an acute triangle
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as ΔABC
Now , the height of the triangle is AB = 16 feet
The base of the triangle is BC = 9.5 feet
The hypotenuse of the triangle is AC = 18.5 feet
And , for a triangle , if a² + b² > c² , it is an acute triangle
Substituting the values in the equation , we get
( 9.5 )² + ( 16 )² > ( 18.5 )²
90.25 + 256 > 342.25
346.25 > 342.25
Hence , the triangle is an acute triangle
To learn more about triangles click :
https://brainly.com/question/16739377
#SPJ2
CAN SOMEONE HELP LIKE RIGHT NOW!!!!!
Answers
Answer:
30 + 25 + (4x + 25) = 180
55 + (4x + 25) = 180
-55 -55
4x + 25 = 125
-25 -25
4x = 100
Divide by 4 on both sides
X = 25
Now we just replace the x with 25
4 x 25 = 100, 100 + 25 = 125 degrees is the missing angle of y
I hope you can see the question, but please help me!?!
Answers
Answer:
the third one
Step-by-step explanation: tell me if im wrong so i can fix it and your welcome if its right
Answer:
B.
Step-by-step explanation:
The second one
True or false? In order to find the diagonal inside a rectangular prism, you need to use the Pythagorean Theorem two different times
Answers
Answer:
The 2D Pythagorean theorem can be applied twice to calculate the longest diagonal inside a rectangular prism.
Step-by-step explanation:
The floor of a rectangular cage has a length 4 feet greater than its width, w. James
will increase both dimensions of the floor by 2 feet. Which equation represents the
new area, N, of the floor of the cage?
Answers
Answer:
x² + 8x + 12
Step-by-step explanation:
Area of a rectangle = length × width
Original dimensions:
Width = x
Length = x + 4
James will increase both dimensions of the floor by 2 feet
New dimensions:
Width = x + 2
Length = x + 4 + 2
= x + 6
Area of the new rectangle = length × width
= (x + 2) × (x + 6)
= x² + 6x + 2x + 12
= x² + 8x + 12
Equation which represents the
new area, N, of the floor of the cage = x² + 8x + 12
Round 54, 842 to the nearest hundred.
Answers
Answer:
55,000
Step-by-step explanation:
if u mean 54 and 842
54=50
842= 800
Answer:
54,800 is the correct answer.
PLEASE HELP WILL MARK BRAINLY NO LINKS ONLY GET ONE AWNSER FOR ME SO NO LINKS OR FUNNY STUFF
Answers
Answer: I believe it's 6 5/8
Step-by-step explanation:
one fruitloops are gay 2 what is 8=-4+x please and thank you
Answers
Answer:
Okayyy.... anywayss...
Solve for x by simplifying both sides of the equation, then isolating the variable.
x = 12
Step-by-step explanation:
I hope that this answer helps you to understand your question asked. If you have any further questions, please ask them below.
Have a great rest of your day/night!
16) Jenna is responsible for changing the broken light bulb in a streetlamp. The streetlamp is 14 feet high. Jenna places the base of her ladder 3 feet from the base of the streetlamp. Jenna can extend the ladder from 10 feet to 14 feet. How long must her ladder be to reach the top of the streetlamp? Will her ladder work?
Answers
Use the Pythagorean theorem:
Height is 14, base is 3, so we can calculate the length required.
Length = sqrt(14^2 + 3^2)
Length = sqrt( 196 + 9)
Length = sqrt(205)
Length = 14.32 feet.
The ladder needs to be 14.32 feet. The longest her ladder can be is 14 feet so her ladder won’t work.
Answer:
14.32 is ur awnser
Step-by-step explanation:
Derrick needs to figure out how he’s doing on his test scores so far this year. You can help by calculating the mean and the median to get an overall picture of his scores. Below are all of his scores:
25, 40, 68, 85, 95, 98, 70, 78, 85, 100
Answers
Answer:
Mean = 74.4
Median = 81.5
Step-by-step explanation:
25, 40, 68, 85, 95, 98, 70, 78, 85, 100
Mean = Sum of values / Number of values
Number of values = 10
= 25 + 40 + 68 + 70 + 78 + 85 + 85 + 95 + 98 + 100/10
= 744/10
= 74.4
Median
Rearranging the given data
= 25, 40 ,68 ,70 ,78 ,85 ,85 , 95 ,98 ,100
Formula for median = 1/2(n + 1)th value
n = 10
Hence
1/2(10 + 1)th value
1/2(11)th value
= 5.5 th value
This fall between the 5th and 6th value
5th value = 78
6th value = 85
Hence: 78 + 85/2
= 163 / 2
= 81.5
what is the value of √-36
Answers
Answer:
6
Step-by-step explanation:
Answer:
Negative 6 or -6
Step-by-step explanation:
Have a great day!
50 decreased by ??? is 40
options are
60% 80%
19% 40%
Answers
Answer:
19%
Step-by-step explanation:
40/50 = x/100
solve for x
x is equal to 20%
but out of the answer choices it's 19%.
Answer: 19%
Step-by-step explanation:
50, percentage decreased by 60% (percent) of its value = 20
50, percentage decreased by 80% (percent) of its value = 10
50, percentage decreased by 19% (percent) of its value = 40.5
50, percentage decreased by 40% (percent) of its value = 30
Hence, the answer is 19%
Mariah is baking 15 loaves of banana bread for the community bake sale. She wants to bake enough loaves of banana bread to keep 3 extra at home.
Mariah must bake at least ___ loaves of banana bread total.
Answers
Veronica bought a house. Her property taxes are $2080 per year and she also needs to
pay $800 per year for homeowner's insurance. What is the monthly amount she needs
to budget to her monthly mortgage payment?
Answers
$240/month for mortgage and insurance
2080 for mortgage / 12 months = $173.33
$2080 + $800 = $2880
2880/12 = 240
Your school is organizing a carnival. You are building a ramp for a game. The surface of the ramp will be 7 feet long with a total rise of 2 feet. Find the angle of elevation of the ramp.
Answers
Answer:
[tex]\theta=16.6^{\circ}[/tex]
Step-by-step explanation:
Given that,
The surface of the ramp will be 7 feet long with a total rise of 2 feet.
We need to find the angle of elevation of the ramp. We can use trigonometry to find it such that,
[tex]\sin\theta=\dfrac{P}{H}[/tex]
P is perpendicular
H is hypotenuse
Here, P = 2 feet, H = 7 feet
So,
[tex]\sin\theta=\dfrac{2}{7}\\\\\theta=16.6^{\circ}[/tex]
So, the angle of elevation of the ramp is equal to [tex]16.6^{\circ}[/tex].
Answer this question to get marked as brainliest!!!!
Answers
Answer:
8
Step-by-step explanation:
anything raised to the power of 1 is itself
Find the area of this figure.
Answers
Answer:
216 cm^2
Step-by-step explanation:
Alright, first lets knock out the rectangle. This would be found by doing L * H. For the length it would be 14. For the height, it would be 12.
14 * 12 = 168
Next with the triangle, it has a length, or "base" of 8 and the same height of 12. For a triangle, do (B * H) / 2 as the formula.
(8 * 12) / 2
96 / 2
48
Now, combine these two values to get the total:
168 + 48 = 216 cm^2
All done!
402, 394, 386 find the 33rd term
Answers
Answer:
138
Step-by-step explanation:
its going down by 8's
so 8 times 33=264
402-264=138
What is the square root of 200 in a whole
Plz answer
Answers
Answer:
The square root of 200 can be simplified as 10√2.
Step-by-step explanation:
hope i helped
Answer:
10[tex]\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\sqrt{2^{3} * 5^{2} }[/tex]
[tex]\sqrt{2^{2} *2*5^{2} }[/tex]
[tex]2\sqrt{2}\sqrt{5^{2} }[/tex]
[tex]2\sqrt{2} *5[/tex]
10[tex]\sqrt{2}[/tex]
What is the factor of 25w6 + 35w3
Answers
Answer:
53(53+7)
Step-by-step explanation:
What are the coordinates of the image of the point (-2, 8) when rotated 180 degrees around the origin?
A) ( 8, 2)
B) (8, -2)
C) (2, -8)
D) (-8, -2)
Answers
Answer:
C) (2, -8)
Step-by-step explanation:
The rule for a 180 degree rotation is negating both coordinates (making both x and y the opposite sign)
Marcy bought a new pair of designer shoes and a matching purse. She paid using a method that would immediately deduct the amount she spent from her bank account. How did she pay?
Answers
Answer:
Ummm....
Step-by-step explanation:
A credit card?
Round your answer to the nearest hundredth 4.) A basketball is passed through the air. The height h of the ball in feet after the distance d In teet the ball travels horizontally is given by h= - + 124 + 6. How tar horizontally from the player passing the ball will the ball land on the ground? I
Answers
Answer:
10.48 feet
Step-by-step explanation:
Find the missing side of this right triangle.
Answers
Rearrange this to c^2 - b^2 = a^2
giving you 5^2 - 3^2 = A^2
in which 16 = a^2
and to solve for just a, square root both sides to give you a final answer of a = 4
Answer:
4,-4
Step-by-step explanation:
The volume of a cube is 64 cubic meters. What is the surface area of the cube, in square meters?
Answers
Answer:
96 square meters
Step-by-step explanation:
Figuring out the side length of a cube from its volume is fairly simple. Using the cubic root we are able to deduce that the side length is 4 meters.
We then find the area of one face which is 4 * 4 = 16 square meters.
We must then multiply this by the amount of sides on our cube which is 6.
16 * 6 = 96 square meters.
1. A 10-foot long ladder leans against a vertical wall such that its base is 4 feet
from the bottom of the wall. Determine, to the nearest tenth of a foot, how high,
h, the ladder reaches up the wall.
Answers
Answer:
9.2
Step-by-step explanation:
follow the equation for the hypotenuse of a right triangle.
a^2+b^2=c^2
4^2+b^2=10^2
16+b^2=100
b^2=100-16
b^2=84
b=9.2
Answer:
The answer is 9.2. Hope this helps.
find the equation of the graph plz urgent helppp
Answers
Answer:
...
Step-by-step explanation:
y=mx+b
y= -7/5x-3
Answer:
y=-7/5x-3
Step-by-step explanation:
Marking brainliest
What human right is based on race? Im doing a research essay and I will talk about how Georgie Floyd’s rights were violated but I don’t know what human right to use
Answers
Answer:
Human rights include the right to life and liberty, freedom from slavery and torture, freedom of opinion and expression, the right to work and education, and many more. Everyone is entitled to these rights, without discrimination.
Step-by-step explanation:
these are the 5 basic rights, most of them were taken for george floyd
hope this helped
George bought a cylindrical water tank for his garden, but he forgot to ask the seller what the diameter of the tank was. He needs to know the diameter of the tank so that he can build a platform for it to sit on. The seller told him the Volume of the tank it 300 (pi) cubic ft and it's height is 10ft what is the diameter of the tank. round only your final answer to the nearest foot pls help
Answers
Answer:
12ft
Step-by-step explanation:
252π/7=36π, so r=6. d=r*2=12 ft