Given the function f(x) = x^2-6x+4, determine the average rate of change of the function over the interval 1≤x≤4.
Answer:
The average rate of change of f(x) over the interval 1 ≤ x ≤ 4 is -1.
Step-by-step explanation:
We are given the function:
[tex]f(x)=x^2-6x+4[/tex]
And we want to determine its average rate of change over the interval:
[tex]1\leq x\leq 4[/tex]
The average rate of change is synonymous with the slope. So, to find the average rate of change, we simply need to find the slope between the two endpoints.
Evaluate each endpoint:
[tex]f(1)=(1)^2-6(1)+4=-1[/tex]
[tex]f(4)=(4)^2-6(4)+4=-4[/tex]
So, our endpoints are (1, -1) and (4, -4).
The slope between them is:
[tex]\displaystyle m=\frac{(-4)-(-1)}{(4)-(1)}=\frac{-3}{3}=-1[/tex]
So, the average rate of change of f(x) over the interval 1 ≤ x ≤ 4 is -1.
I need help plssssss
Answer:
Yes
Step-by-step explanation:
2 sides are equal as well as one angle being equal, so we know that the other angles must be equal, along with the other side.
what the sum of (2×105)+(3.8×105)=
Express 0.74 as a percentage
Answer:
74%
Step-by-step explanation:
0.74 × 100 = 74%
Answer:
74% (answer).
Step-by-step explanation:
To convert from decimal to percent, just multiply the decimal value by 100. In this example we have: 0.74 × 100 =74%
Miguel weighs himself and discovers he weighs 83,600 grams. How many kilograms does Miguel weigh?
The solution is, 83.6 kilograms does Miguel weigh.
What is unit conversion?A unit conversion expresses the same property as a different unit of measurement. For instance, time can be expressed in minutes instead of hours, while distance can be converted from miles to kilometers, or feet, or any other measure of length.
here, we have,
given that,
Miguel weighs himself and discovers he weighs 83,600 grams.
now.,, we have to find that how many kilograms does Miguel weigh.
we know that,
1000 grams = 1 kg
so, we have,
he weighs 83,600 grams
so,
as, 1000 grams = 1 kg
so, 1 gram = 1/1000 kg
we get,
83,600 grams = 1/1000 * 83,600 kg
i.e. 83,600 grams = 83.6 kg
Hence, 83.6 kilograms does Miguel weigh.
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What is m Please help me I’m willing to pay you for other problems just message me.
Answer:
56
Step-by-step explanation:
56
hope this helps
¬_¬ :)
Can someone explain to me what 8√42 ÷ 2√7 is?
Answer:
Step-by-step explanation:
8√42 ÷ 2√7 is 8√42/2√7 in a fraction form
you want to take the square root out of the denominator, and so you would multiply the denominator by the numerator and itself.
8√42/2√7 * 2√7/2√7 = 4√6
A bag contains apps and six oranges. You randomly draw a piece of fruit from the bag, eat it, and then randomly draw another. what is the probability you draw and eat an apple than draw an orange?
Complete Question
A bag contains 8 apples and six oranges. You randomly draw a piece of fruit from the bag, eat it, and then randomly draw another. what is the probability you draw and eat an apple than draw an orange?
Answer:
Step-by-step explanation:
The statement below is a different way to say that the sides of these similar parallelograms are proportional.
Complete the equations that go with the statement.
The correct statement is [tex]\frac{a}{b}[/tex] = [tex]\frac{t}{s}[/tex] , [tex]\frac{b}{c}[/tex] = [tex]\frac{s}{r}[/tex] , [tex]\frac{c}{d}[/tex] = [tex]\frac{r}{q}[/tex].
What is Parallelogram?Parallelogram is a type of polygon with four sides, four angles and four vertices. It is a type of Quadrilateral.
Opposite sides are parallel, and the opposite sides and opposite angles are equal.
Similar figures are those figures whose ratio of the length of sides are proportional.
Similar figures only differ in size, their shape is equal.
The sides a, b, c and d in the larger parallelogram is similar to the sides t, s, r and q respectively in the smaller parallelogram.
So we get the ratio b / c equal to the ratio s / r and the ratio c / d equal to the ratio r / q.
Hence the equation that go with the statement two sides of a parallelogram have the same ratio as the corresponding two sides of a parallelogram is [tex]\frac{a}{b}[/tex] = [tex]\frac{t}{s}[/tex] , [tex]\frac{b}{c}[/tex] = [tex]\frac{s}{r}[/tex] , [tex]\frac{c}{d}[/tex] = [tex]\frac{r}{q}[/tex].
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Answer:The first one is 16 and the second one is 18
Step-by-step explanation:
How many pints are in 6 1/2 quarts?
Answer:
13
Step-by-step explanation:
f0llow me if you have time thanks
hope it helps
#carryonlearning
#ownanswer
Answer:
13 pints
Step-by-step explanation:
2 pints per quart
6.5 x 2 = 12 + 1 = 13 pints
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Find the measure of angle x. Help!
Answer:
98 ° is measures angle x.Hope this helps you.
May someone possibly help me please
Answer:
24____________________
#savesheikhjarrah
Let’s all pray for Palestine ♥️
Answer:
soi de perú NO INGLISH IS SPANISH
Step-by-step explanation:
JAJAJAJ
BRAINLIEST
Compare the volumes of the rectangular prisms shown below. Which of the containers will hold more, X or Y? In your final answer, include all of your calculations.
Answer:
X will be your answer be 126 and 110
Step-by-step explanation:
6x3x7=126
y=11x2x5=110
so X>Y
hope it helps!
2) Which statement is modeled by 2p + 5 < 11?
(1) The sum of 5 and 2 times p is at least 11.
(2) Five added to the product of 2 and p is less than 11.
(3) Two times p plus 5 is at most 11.
(4) The product of 2 and p added to 5 is 11
Answer:
(2) Five added to the product of 2 and p is less than 11.
Step-by-step explanation:
2p + 5 is represented by five added to the product of 2 and p.
This is because 2p is the product, and 5 is added to it.
The less than inequality means that 2p + 5 is less than 11.
So, the correct statement is (2) Five added to the product of 2 and p is less than 11.
Which expression is equal to 16?
Answer:
D
Step-by-step explanation:
so the exponent outside of the parentheses cancels out the fractioned one inside since 3 is the reciprical of 1/3 (basically its 1/3 flipped creating 3/1)
A circle has a radius of four arc in the circle has a central angle of 280° what is the length of the arc
Answer:
20.096 units
Step-by-step explanation:
Given that,
The radius of circle, r = 4
The measure of central angle = 288°
We need to find the arc length. The formula to find the arc length is given by :
[tex]l=\dfrac{\theta}{360}\times 2\pi r\\\\l=\dfrac{288}{360}\times 2\times 3.14\times 4\\\\l=20.096\ m[/tex]
So, the arc length is equal to 20.096 units.
Javeigh lives in Chicago and takes a plane to Los Angeles. When Javeigh left the house it was -12°. When the plane landed in Los Angeles, Javeigh realized it was 30° hotter! What was the temperature when Javeigh landed in Los Angeles?
2x + 2y = -4
3x - 2y = 9
Answer:
x = −y −2
Step-by-step explanation:
Help please this iis due today
Answer:
B is the correct answer
since
a1/a2=b1/b2≠c1/c2
help help help i’ll kiss u
Answer:
I, J
Step-by-step explanation:
Which is a finite geometric sequence?
a. {300, 30, 0.3, 0.003, …}
b. {5, -15, 45, -135, 405}
c. {5, 10, 15, 20, …}
d. {27, 32, 37, 42, 47}
Answer: {5, -15, 45, -135, 405}
Step-by-step explanation: In a finite sequence, there's a number of limited terms. And those terms have a common ratio, in this case, the common ration is -3. Notice how 5*-3 is -15, and -15*-3 is 45, and so on until 405.
The finite geometric sequence is {5, -15, 45, -135, 405}.
Thus, option (B) is correct.
A geometric sequence is a sequence in which each term is obtained by multiplying the preceding term by a constant factor called the common ratio.
In the finite geometric sequence {5, -15, 45, -135, 405}
In this sequence, each term is obtained by multiplying (-3) to the previous term.
So, the common ratio
= (-15)/ 5
= -3
Therefore, the sequence is {5, -15, 45, -135, 405}.
Thus, option (B) is correct.
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The Large Hadron Collider is a tube formed into a circular loop measuring 4.3 km in diameter. It is used by physicists to accelerate atoms into each other to break them apart and observe new subatomic particles. An atom is accelerated 240 degrees around the loop before colliding with another atom. What is the distance that the atom traveled? Round your answer to the nearest hundredth. Units not necessary.
Answer:
9005.90 m
Step-by-step explanation:
The radius of the collider is half the diameter or 2150 m. The arc length S subtended by the angle is given by
S = r×(theta) where theta is the angle in radians. We need to convert the degree angle into radian angle using the following:
240° × (2pi/360°) = 4.19 radians
Therefore, the distance traveled by the atoms is so equal to the arc length S so
S = (2150 m)×(4.19 rad) = 9005.90 m
A pattern of ordered pairs is shown below.
(1,3), (3, 6), (5, 12), (7, 24)
If this pattern continues, what is the sixth ordered pair in the pattern?
please answer this fast
Answer:
(9,48)
Step-by-step explanation:
The x's are being added by 2, while the y's are being multiplied by 2.
Find the area of a circle with a circumference of 50.24 units.
Answer:
200.96
Step-by-step explanation:
have a good day:D
please help, you can just slide the answer
Answer:
c is correct have a nice day
Step-by-step explanation:
Herbert has three lawn-mowing jobs. One lawn is shaped like a trapezoid,
one like a triangle, and one like a rectangle. The trapezoidal lawn has bases that are 90 feet and 126 feet and a height of 75 feet. The triangular lawn has a height of 80 feet and a base of 105 feet. The rectangular lawn has a length of 120 feet and width of 90 feet. If Herbert can cut a 160 ft × 70 ft lawn in 2 hours, how long will it take him to mow all three lawns?
Answer:
4.125 hours
Step-by-step explanation:
Trapezoid shaped lawn :
Bases : 90 ; 126 ; height = 90
Area of trapezium = 1/2(a+b) h ; a and B are the bases and h = height
Area of trapezium = 1/2(90 + 126) * 75
Area = 108 * 90 = 8100 feets
Triangular lawn :
Height = 80 feets ; Base = 105 feets
Area of triangle = 1/2 base * height
Area = 1/2 * 80 * 105 = 4200 feets
Rectangular lawn :
Length = 120 feets ; width = 90 feets
Area of rectangle = Length * width
Area = 120 * 90 = 10800 feet²
Area of all 3 lawns = (8100 + 4200 + 10800) = 23100
In 2 hours ; Herbert can now (160 * 70) = 11200 feets
23100 / 11200 = 2.0625
Tine required to mow all three lawns :
2 hours * 2.0625 = 4.125 hours
= 4 hours, 7 minutes, 30 seconds
Kiera’s middle school is conducting a survey to determine the winter dance theme. Which of the following best describes a random sample?
1 point
A. All of the students in Mrs. Jackson’s class are surveyed
B. Fifty student’s names from each grade are drawn from a hat
C. Fifty randomly selected staff members are surveyed
D. Fifty randomly selected 7th graders are surveyed
The best description of a random sample for Kiera's middle school survey to determine the winter dance theme is option D: Fifty randomly selected 7th graders are surveyed.
What is random sampling?Random sampling is a technique for picking a sample from a population in such a manner that each possible sample has a preset probability of being chosen.
As per the question, the sample should be representative of the entire student population, so selecting fifty students from each grade (option B) or all the students in Mrs. Jackson's class (option A) may not be representative of the entire student population.
Similarly, selecting fifty randomly selected staff members (option C) may not be representative of the student population.
Therefore, option D is the best choice as it randomly selects students from the population of interest.
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(NEED DONE SOON) The measure of two supplementary angles are 4x - 24 and 4(2x - 3).
What is x
Answer:
x = 12
Step-by-step explanation:
A pair of supplementary angles added together MUST equal 180. Therefore, as you are given two angles with the measures of (4x - 24) and 4(2x - 3), they must add together to equal 180. So, we get this equation:
(4x - 24) + 4(2x - 3) = 180
4x - 24 + 8x - 12 = 180 (we distributed 4(2x-3))
12x - 36 = 180
12x = 144
x = 12, -12
Therefore, x is 12 because -12 would mean that (4x-24) and 4(2x-3) are both negative, which is impossible for an angle measure.
Sam volunteers at an animal shelter. He created a line plot to show the weights in pounds of the kittens at the shelter.
Line plot named as ALTDCWeights of Kittens in ShelterALTDC shows a number line from half to two and half. The number line is divided into 4 equal parts. 3 dots on half, 2 dots on 1 and 1 dot on one and half is given.
What is the total weight of the kittens in the shelter?
Answer:
The total weight is 5kg
Step-by-step explanation:
Given
See attachment for box plot
Required
Determine the total weight of the kitten
First, we represent the plot in the following table where the number of dots represent the frequency.
So, we have:
[tex]Weight \to Frequency[/tex]
[tex]\frac{1}{2} \to 3[/tex]
[tex]1 \to 2[/tex]
[tex]1\frac{1}{2} \to 1[/tex]
[tex]2 \to 0[/tex]
[tex]2\frac{1}{2} \to 0[/tex]
Multiply the weight by the frequency, then add up the result
So, we have:
[tex]Total = \frac{1}{2} * 3 + 1 * 2 + 1\frac{1}{2} * 1 + 2 * 0 + 2\frac{1}{2} * 0[/tex]
[tex]Total = 1\frac{1}{2} + 2 + 1\frac{1}{2} + 0 + 0[/tex]
[tex]Total = 1\frac{1}{2} + 2 + 1\frac{1}{2}[/tex]
Express as improper fraction
[tex]Total = \frac{3}{2} + 2 + \frac{3}{2}[/tex]
Take LCM
[tex]Total = \frac{3+4+3}{2}[/tex]
[tex]Total = \frac{10}{2}[/tex]
[tex]Total = 5kg[/tex]