Answer:
The average rate of change is 64
Step-by-step explanation:
Given
[tex]f(x) = 7x^2 - 6x + 6[/tex]
Required'
Average rate over 2 < x < 8
The average rate of change is calculated as:
[tex]Rate = \frac{f(b) - f(a)}{b - a}[/tex]
Where a < x < b
So, we have:
[tex]Rate = \frac{f(8) - f(2)}{8-2}[/tex]
[tex]Rate = \frac{f(8) - f(2)}{6}[/tex]
Calculate f(8) and f(2)
[tex]f(x) = 7x^2 - 6x + 6[/tex]
[tex]f(8) = 7 * 8^2-6 * 8 +6 = 406[/tex]
[tex]f(2) = 7 * 2^2-6 * 2 +6 = 22[/tex]
So:
[tex]Rate = \frac{f(8) - f(2)}{6}[/tex]
[tex]Rate = \frac{406 - 22}{6}[/tex]
[tex]Rate = \frac{384}{6}[/tex]
[tex]Rate = 64[/tex]
Which of the following represents the inequality for the sum of 11 and y is greater than -33? O11-y> -33 O 11+ y -33 11 + y 2-33
Answer:
11 + y > - 33
Step-by-step explanation:
To represent the expression :
Sum of 11 and y ; greater than - 33
Sum of 11 and y ; 11 + y
Greater Than - 33; > - 33
Hence ;
11 + y > - 33
If 3x + 10 = 10 + 2x, what is the value of x?
A) x = 4
B) x = -4
C) x = -1
D) x = 0
Answer:
x=0
Step-by-step explanation:
3x + 10 = 10 + 2x
Subtract 2x from each side
3x-2x + 10 = 10 + 2x-2x
x+10 = 10
Subtract 10 from each side
x+10-10 = 10-10
x=0
Answer:
x=0
Step-by-step explanation:
3x + 10 = 10 + 2x
Subtract 2x from each side
3x-2x + 10 = 10 + 2x-2x
x+10 = 10
Subtract 10 from each side
x+10-10 = 10-10
x=0
how many kilometers rode her bike in x minutes?
its g, yww .
5 = 0.5
10 = 1.0
15 = 1.5
20 = 2.0
25 = 2.5
the digit at tens place of a two digit number is two times the digit at 1 present 27 is subtracted from the number its digits are reversed find the number
Step-by-step explanation:
I feel something is off about this question
But going with What you typed
It said
The Number at tens position is twice that at unit
therefore
If the unit number is x
The Tens Number will be= 2x
Now
Grab this concept
If we want to write a 2digit number 49
we can say 10x4 + 9 which is the same as 49.
So
The original number is 10x2x + x
Now
27 is subtracted from this number and the digits are reversed
When the digits are reversed; The Tens position will now be x and Unit will be 2x... This new 2digit number will be 10xX + 2x
So applying what we know
27 - (Original number) = Reversed
27 - (10x2x + x) = 10xX + 2x
27 = 10xX + 2x + (10x2x + x)
27 = 10x +2x + 20x + x
27 = 33x
x = 27/33
x=9/11
The original Number is 10x2x + x
= 10x2(9/11) + 9/11
=10x18/11 + 9/11
180/11 + 9/11
=189/11.
Find the value of x and y
x = 45° , y = 45°
x = 117° , y = 117°
x = 27° , y = 63°
x = 63° , y = 27°
Step-by-step explanation:
X=63 and Y=27 is the correct answer.
A red pebble is equal to 3 yellow pebbles a blue pebble is equal to a red and 2 yellow pebbles a green is equal to 3 red pebbles. What is the value in pebbles of a green pebble and a blue pebble divided by 2 red pebbles and a yellow pebble
Answer: 2
Step-by-step explanation:
Given
Red pebble is equal to 3 yellow pebble
A blue marble is equal to a red pebble and 2 yellow pebble
A green pebble is equal to 3 red pebble
Suppose [tex]R,B,Y,G[/tex] represents red, blue, yellow, and green pebbles
[tex]\therefore R=3Y\\B=R+2Y\\G=3R[/tex]
Express Red in terms of yellow in blue pebble equation
[tex]B=3Y+2Y\\B=5Y[/tex]
Now, express Green Pebble in terms of yellow pebble
[tex]G=3R=3(3Y)\\G=9Y[/tex]
Value of
[tex]\Rightarrow \dfrac{G+B}{2R+Y}\\\\\Rightarrow \dfrac{9Y+5Y}{2\times 3Y+Y}\\\\\Rightarrow \dfrac{14Y}{7Y}=2[/tex]
Which diagram represents the factors of m2 – 10m + 16 ?
A 2-column table with 2 rows. First column is labeled m with entries m squared, 4 m. Second column is labeled negative 6 with entries negative 6 m, 16. First row is labeled m with entries m squared, negative 6 m. Second row is labeled 4 with entries 4 m, 16.
A 2-column table with 2 rows. First column is labeled m with entries m squared, 2 m. Second column is labeled negative 8 with entries negative 8 m, 16. First row is labeled m with entries m squared, negative 8 m. Second row is labeled 2 with entries 2 m, 16.
A 2-column table with 2 rows. First column is labeled m with entries m squared, negative 6 m. Second column is labeled negative 4 with entries negative 4 m, 16. First row is labeled m with entries m squared, negative 4 m. Second row is labeled negative 6 with entries negative 6 m, 16.
A 2-column table with 2 rows. First column is labeled m with entries m squared, negative 8 m. Second column is labeled negative 2 with entries negative 2 m, 16. First row is labeled m with entries m squared, negative 2 m. Second row is labeled negative 8 with entries negative 8 m, 16.
Answer:
D.
Step-by-step explanation:
The last table is the correct choice. Because when you use the X method on the equation your answers from that is (m-8)(m-2).
Answer:
It's definitely D.
Step-by-step explanation:
It's D because it has a -2m and -8m if you add them you get the -10m in the equation the m2 is already there And if you multiply -2 * -8 you'll get 16 positive, because a negative plus a negative is a positive.
Hell with number 9 please
Answer:
π
Step-by-step explanation:
the volume of a cylinder is r^2 x π x h
substitute and you have your answer
Answer:
it is pronounced Help with number 9 please. #GrammerMatters
Step-by-step explanation:
Solve for x, rounding to the nearest hundredth.
6•10*=1
Answer:
ur an idiot
Step-by-step explanation:
PLEASE HELP 70 POINTS
Answer:
the pdf is bugged so your going to have to repost
Step-by-step explanation:
Is his answer correct
Answer:
He is not correct
Step-by-step explanation:
I think it should be 2/9 not 1/3
Find the volume of the composite solid.
Answer:
2960 ft³
Step-by-step explanation:
Rectangular prism = 12x20x10=2400
Rectangular pyramid = 1/3x12x20x7=560
2400+560=2960
If adult grey whales weigh an average of 50 - 55 tons, about how many pounds does an adult grey whale weigh? (A ton equals 2000 pounds.)
Answer:
100000
Step-by-step explanation:
First multiplt the given njmber with 2000 and subrat total number givem
Answer: c
Step-by-step explanation:
The table below show the approximate population of Virginia for 5 years. What is the
equation of the line of best fit?
Answer:
Y = 0.09X1 - 167.40
Step-by-step explanation:
Year (X) : 2000, 2004, 2006, 2007, 20008
Population (millions) (Y) : 7.08, 7.48, 7.64, 7.71, 7.77
Using technology, the regression model obtained is :
Y = 0.09X1 - 167.40
With a slope of 0.09 and intercept of - 167.40
If a polynomial function f(x) has roots 3 + sqrt5 and -6, what must be a factor of f(x)?
Answer:
(x - (3 - √5))Step-by-step explanation:
If there are roots:
3 + √5 and - 6, then another root should be 3 - √5So we would have factors of:
f(x) = (x - (3 - √5))(x - (3 + √5))(x + 6)Correct choice including the third factor is B
If a is a factor of f(x)
Then
(x-a)=0So if a=3+√5 and -6
The expression is
(x-(3-√5))(x-(3+√5))(x+6)=0Option B
five plus three plus five to the second power times five minus two
question off of moby max
i will give branlest if your wright
Answer: B
Step-by-step explanation:
Simplify: [3(2a)3/2] 2
Answer:
2=18a
Step-by-step explanation:
are these angles supplementary or congruent?
Answer:
supplementary
Step-by-step explanation:
it's not congruent also may I have brainleist
We want the following inequality to be true: IMAGE BELOW!
Answer:
B. X=7
Step-by-step explanation:
Because 9 greater than 7
The triangle and the rectangle have the same area
calculate the value of w.
Show your working
Answer:
2.5 cm
Step-by-step explanation:
6*5=30
30/2=15
That's the area of the triangle
The area of the rectangle must also equal 15
6*w=15
Divide by both sides by 6
This gives you: 2.5
The value of the width of rectangle w for which the triangle and the rectangle have the same area is, 2.5 cm
Used the formula of area of the rectangle and area of the triangle which states that,
Area of rectangle = Length × Width
And, Area of triangle = 1/2 × Base × Height
Given that,
The triangle and the rectangle have the same area.
Here, in a triangle;
Base = 5 cm
Height = 6 cm
So, the Area of the triangle is,
[tex]A = \dfrac{1}{2} \times 5 \times 6[/tex]
[tex]A = 15 \text{ square cm}[/tex]
In a rectangle;
Length = 6 cm
Width = w cm
So, the area of a rectangle,
[tex]A = 6 \times w[/tex] [tex]\text{ square cm}[/tex]
Since the triangle and the rectangle have the same area.
So, equate both the area of the triangle and rectangle,
[tex]6 \times w = 15[/tex]
Divide both sides by 6,
[tex]w = \dfrac{15}{6}[/tex]
[tex]w = 2.5 \text{ cm}[/tex]
So, the value of w is 2.5 cm
To learn more about the triangle visit;
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What is the correct answer???
What would this answer be?
Answer:
A
Step-by-step explanation:
the ' is always the image, so we see how all the letters that have ' in it are bigger than the ones that dont have ' in it.
Can you help me with this question
Answer:
308 (Third Option)
Step-by-step explanation:
Have a Great Day! :D
For each of the following research scenarios, decide whether the design uses a related sample. If the design uses a related sample, identify whether it uses matched subjects or repeated measures. (Note: Researchers can match subjects by matching particular characteristics, or, in some cases, matched subjects are naturally paired, such as siblings or married couples.) Lorrin Koran has studied whether antidepressants are effective for treating kleptomania. Suppose that people with kleptomania typically score 72 on the Barratt Impulsiveness Scale. You want to see whether kleptomaniacs who are taking antidepressants score lower on the impulsiveness scale than the population average. The design described . You are interested in a potential treatment for compulsive hoarding. You treat a group of 50 compulsive hoarders and compare their scores on the Hoarding Severity Scale before and after the treatment. You want to see if the treatment will lead to lower hoarding scores.
The design described ___________.
Therefore , the solution of the given problem of unitary method comes out to be , the same group of subjects are measured both before and after the treatment .
What is an unitary method?The data from this nanosection should be compound by two in order to complete the task using the unitary method. In essence, the marked by either a set or the pigment parts of the unit method are skipped when a desired object is present. For forty pens, a variable charge of Inr ($1.01) would be required. It's possible that one country will have total influence over the approach taken to accomplish this. Almost every living creature has a distinctive quality.
Here,
Due to the absence of a comparison group or before-and-after measurements, the first study scenario does not use a related sample.
In the second study scenario, the same group of subjects are measured both before and after the treatment using a related sample and repeated measurements.
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Choose the most reasonable estimate of the volume of a box with
dimensions as follows: width = 4.9 cm; length = 5.1 cm; height = 4.8 cm.
A. 75 cm3
B. 12 cm3
C. 50 cm3
D. 125 cm3
Answer:
D. 125cm
Step-by-step explanation:
Round each number for an estimate so you get 5 x 5 x 5 = 125
Paula is draining her fish tank.
When she starts draining it, the height of the water is 33 cm.
Six minutes later, the height of the water is 15 cm.
Question: If the water continues to drain
at this rate until it is empty, how many
total minutes will it take Paula to drain
her fish tank?
Answer:
If the water continues to drain at this rate, it would take 11 total minutes for Paula to drain her fish tank.
Step-by-step explanation:
In 6 minutes, she is able to drain 18 cms of her fish tank, so in 1 minute, she would be able to drain 3 cms of her fish tank. 15 divided by 3 is 5, so it would take 5 minutes to drain the rest of her fish tank. But it is asking for the total amount so 5 plus 6 is 11 total minutes.
The list represents the sample space of spinning two spinners at the same time if each spinner is numbered 1 through 5 and can only land in one of the numbered sections (not on a line). How many total possible outcomes are there in the sample space?
Select one:
5
20
10
25
Answer:
5 is the required answer for your question .
hope it is helpful to you
Solve for x
A. X=27
B. X = 9
C. X= 3
D. X=7
C
Step-by-step explanation:
=>2x+27=x
=>2x-x=27
=>x=27
Find the whole number equal to the fraction below. Enter your answer in the space provided. 21 /3
Answer:
the answer is 7
Step-by-step explanation:
divide the numerator (21) by the denominator (3) and you will get 7 as the answer hope this helped