A real valued function f(x) is said to be decreasing on the interval [a,b] for all x1,x2 if x1 < x2, And f(x1) > f(x2)
What are increasing and decreasing function ?A function is said to be increasing if we increase the value of the independent variable the function also increases and a function is said to be decreasing if we increase the value of the independent variable the function decreases.
According to the given question real-valued function f (x) is said to be increasing on the closed interval [a, b] if for all x1, x2 ∈ [a, b], if x1 < x2, then f (x1) < f (x2).
A real valued function f(x) is said to be increasing on the interval [a,b] if a < b, And f(a) < f(b).
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A candle is 20 in. tall after burning for 3 hours. After 5 hours, it is 19 in. tall. Write a linear equation to model the relationship between height h of the candle and time t. Predict how tall the candle will be after burning 8 hours.
[tex]\begin{array}{ccll} \stackrel{hours}{t}&\stackrel{height}{h}\\ \cline{1-2} 3&20\\ 5&19 \end{array}[/tex] with those values provided from the table, let's get its equation
[tex](\stackrel{x_1}{3}~,~\stackrel{y_1}{20})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{19}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{19}-\stackrel{y1}{20}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{3}}} \implies \cfrac{19 -20}{5 -3} \implies -\cfrac{ 1 }{ 2 }[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{20}=\stackrel{m}{-\cfrac{ 1 }{ 2 }}(x-\stackrel{x_1}{3}) \implies y-20=-\cfrac{ 1 }{ 2 }x+\cfrac{3}{2} \\\\\\ y=-\cfrac{ 1 }{ 2 }x+\cfrac{3}{2}+20\implies y=-\cfrac{ 1 }{ 2 }x+\cfrac{43}{2}\implies \LARGE \begin{array}{llll} h=-\cfrac{ 1 }{ 2 }t+\cfrac{43}{2} \end{array}[/tex]
how talll will the candle be after 8 hours? namely when t = 8.
[tex]h=-\cfrac{ 1 }{ 2 }(8)+\cfrac{43}{2}\implies h=-4+\cfrac{43}{2}\implies h=\cfrac{35}{2}\implies \LARGE \begin{array}{llll} h=17\frac{1}{2} \end{array}[/tex]
Let f(x)=|x|-3 write a function g whose graph is a translation 5 units down of the graph of f
If the function is translated 5 units down of the graph of f, the resulting function will be g(x) =. |x|-8
Translation of functionsTranslation is the technique that is used to change the position of a figure on an xy-plane.
For instance, if the function f(x) is translated k units down the graph, the resulting function will be g(x) = f(x) - k
Given the function f(x)=|x|-3, if the function is translated 5 units down of the graph of f, the resulting function will be;
g(x) = f(x) - 5
g(x) = |x|-3 - 5
g(x) =. |x|-8
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Classifi the following sequence as either arithmetic or geometric. then state the common difference or ratio and find the missing terms 64,-32,16,-8
The sequence is in geometric series. Common ration= - 1/2, missing number i.e., the 5th term = 4
An arithmetic series is one where each term is equal to the one before it plus some number. Whereas a geometric series is one where each term equals the one before it multiplied by a certain value.
Here the sequence is Geometric series as from the sequence we are getting the common ratio.
Common ratio = [tex]\frac{-32}{64}[/tex] = [tex]\frac{16}{-32}[/tex] = -[tex]\frac{1}{2}[/tex]
Now we have to find the 5th term of the sequence.
We know the formula to find the nth term of the geometric series which is:
[tex]a_{n}[/tex] = a [tex]r^{n-1}[/tex]
[tex]a_{5}[/tex] = 64 [tex](\frac{-1}{2} )^{4}[/tex]
[tex]a_{5}[/tex] = 64/16
= 4
Therefore the missing number is 4.
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ill give you crown if you answer this right btw its a fraction
Answer:
3/1
Step-by-step explanation:
Beginning from 10, you count upward until you come across a point that's directly underneath a number to the x-axis.
In this case, you'd go upward 3 times, locating the y-axis at 30.
Then you would go either left or right and count how many times you do that.
In this case, you'd go right 1 time, locating the x-axis at 10.
Hence, the slope would be rise over run, or y over x.
In this case, the slope would be 30/10.
To simplify that, it would be 3 over 1.
To simplify it even more, it would just be 3.
Hope this helps.
Please Help!!! Quickly as possible will mark brainliest!!
Answer:
(0,5)
Step-by-step explanation:
43.3(blank) subtract 12.82 I’m giving off 20 points for this
On subtracting 12.82 from 43.3 we get 30.48 as answer.
How to subtract decimal numbers?
Write down decimal numbers such that the number from which you have to subtract is written first and number which you have to subtract from the fist number is written just below it such that the decimal is just lined below another decimal
For example if we have to subtract 4.2 from 12.8
we write it like 1 2 . 8
- 0 4 . 2
______
0 8 . 6 and the starting from right start subtracting
Given 43.3-12.82
4 3 . 3 0
- 1 2 . 8 2
_______________
3 0 . 4 8
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Swine flu is attacking porkopolis. the function s ( t ) = 10 t + 8 determines how many people have the swine flu at a given time where t is in days and s ( t ) is the number of people in hundreds. evaluate s ( 16 )
Ms. Rivera has 134 crayons. About how many
crayons does she have? Round to the nearest 100.
Answer:
she has 130 crayons 100 crayons divided by 2 = 50 crayons each divide 30 by 2 =15
then she has the four crayons left divide those by 2
-39 * 99 = ? Solve the question using distributive property.
Step-by-step explanation:
39× 99
= -39×(100 - 1)
= (-39×100) - (-39 × 1)
= -3900 + 39
= -3861
Answer:
-3751
Step-by-step explanation:
you multiple times to the /number
The total height of 6 layers of wedding cake is 80 cm 4 mm. What is the height of each layer?
Answer: 13 cm 34 mm
Step-by-step explanation:
(80 cm 4 mm) * 1 layer/6 layers=
(80 cm 4 mm) * 1/6=
(80 cm 4 mm)/6=
(80 cm+4 mm) * 1/6=
80 cm/6 + 4 mm/6=
80/6 cm + 4/6 mm=
(78+2)/6 cm + 2/3 mm=
78/6 cm + 2/6 cm + 2/3 mm=
13 cm + 2/6 * 1000 mm + 2/3 mm=
13 cm + 1/3 * 1000 mm + 2/3 mm=
13 cm + 1000/3 mm + 2/3 mm=
13 cm+1002/3 mm=13 cm 34 mm
What is the greatest common factor of 16 , 24 , 48
Answer:
8
Step-by-step explanation:
The biggest common factor number is the GCF number. So the Greatest Common Factor 16, 24, 48 is 8.
please make my answer as brainelist
A gardener spread 3 4/5 bags of mulch evenly over his 2 equal-sized vegetable beds. How
much mulch did he put on each vegetable?
Therefore 1 9/10 bag of mulch is put on each vegetable bed.
Given a gardener spread 3 4/5 bags of mulch evenly over his 2 equal-sized vegetable beds.
We need to find how much he put on each vegetable bed as
Let the number of bags of mulch put on each vegetable bed be x
∴ 2 * x = 3 4/5
2 x = 19 / 5
x = 19 / 10
x = 1 9/10 bag
Therefore 1 9/10 bag of mulch is put on each vegetable bed.
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kendra reads in modern dog magazine that the average age of dogs currently alive is 4.8 years. to determine if this finding applies to the customers in her pet store, kendra surveys every fifth customer in her store who owns a dog and asks the age of their dog. she collects data for seven weeks and obtains the following averages
Kendra's samples are precise but not accurate.
The results are as follows: 3.7, 3.8, 4.2, 4.1, 3.9, 3.9, and 4.0.Precision refers to how near or far apart the measurements are.The sample is precise since the values are close to each other.The sample mean is the sum of values divided by the number of values.The sample mean is (3.7 + 3.8 + 4.2 + 4.1 + 3.9 + 3.9 + 4.0)/7.The sample mean is 27.6/7.The sample mean is 3.94.Accuracy refers to how close or far a particular collection of measurements is to its real value.But since the sample mean is farther from 4.8, it is not accurate.To learn more about precision, visit :
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Divide. (6×1011)÷(3×1015) 2×10−12 times 10 inverse 2×10−72 times 10 to the negative 7 power 2×10−42 times 10 to the negative 4 power 2×100
The value of the division (6×1011)÷(3×1015) is the negative 4 power 2×10.
How can we interpret the division?When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.
Division can be interpreted as an equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.
Thus, [tex]a \div b[/tex] = a divided in b equal parts.
WE have been given that (6×10^11)÷(3×10^15) .
Simplify;
(6×10^11)÷(3×10^15)
To solve the exponent first;
10^11 - 15 = 10^-4
Now we get;
(6 )÷(3×10^-4)
2 ×10^4 = 2 ×10 ×10×10×10
= 20,000
Hence, the value of the division (6×1011)÷(3×1015) is the negative 4 power 2×10.
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What equation is equivalent to the equation 5x + 30 = 45?
5x+30=45
tkae the 30 to the other side and it becomes
5x=45-30
that gives you 15. then you want to divide 5 by 15
and then that gives you 3
x=3
Hope this helps you!
Write an equation and
Isolve for x if the area
of the rectangle is 70
square units.
The linear equation for the area is:
40 = 7*(x + 4)
The solution is x = 1.71 = x
How to write and solve the equation?Remember that for a rectangle of length L and width W, the area is:
A = L*W
In this case, we can see that:
W = 7
L = x + 4
A = 70
Replacing that, we can get the linear equation:
40 = 7*(x + 4)
Now we can solve this, we jus need to isolate x.
40/7 = x + 4
40/7 - 4 = x
5.71 - 4 = x
1.71 = x
The solution is x = 1.71 = x
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the graph of the parabola y=1/4(x+2)^2-6 is shown on the coordinate plane below according to the graph for which values of x is y always positive ?
Answer: x∈(-∞,-2√6-2)U(2√6-2,+∞)
Step-by-step explanation:
[tex]\displaystyle\\y=\frac{1}{4} (x+2)^2-6\\y > 0\\Hence,\\\frac{1}{4}(x+2)^2-6 > 0 \\\\\frac{1}{4}(x+2)^2-6+6 > 0+6\\\\\frac{1}{4}(x+2)^2 > 6\\[/tex]
Multiply both parts of the equation by 4:
[tex](x+2)^2 > 24[/tex]
Extract the square root of both parts of the inequality:
[tex]|x+2| > \sqrt{24} \\|x+2| > \sqrt{4*6} \\|x+2| > 2\sqrt{6}[/tex]
Expand the modulus - we get a set of inequalities:
[tex]\displaystyle\\\left [{{x+2 > 2\sqrt{6}\ \ \ \ (1) } \atop {-(x+2) > 2\sqrt{6} \ \ \ (2)}} \right.\\[/tex]
Multiply both parts of inequality (2) by -1 and reverse the sign of the inequality:
[tex]\displaystyle\\\left [ {{x+2-2 > 2\sqrt{6}-2 } \atop {x+2 < -2\sqrt{6} }} \right. \ \ \ \ \ \left [ {{x > 2\sqrt{6}-2 } \atop {x+2-2 < -2\sqrt{6} -2}} \right. \ \ \ \ \ \left [ {{x > 2\sqrt{6}-2 } \atop {x < -2\sqrt{6}-2 }} \right.[/tex]
Thus,
[tex]x\in(-\infty,-2\sqrt{6}-2)U(2\sqrt{6} -2,+\infty)[/tex]
Select a number to make the following statement true.
0.07 is 10 times as great as
A. 0.1
B. 0.7
C. 0.001
D. 0.007
Answer:
D
Step-by-step explanation:
a×10=0.07
a=0.07/10
=0.007
Answer:
D
Step-by-step explanation:
0.007 if you multiply this by 10 you move the decimal one place to the right, t hat would be 0.07
Which ordered pair is not included in a graph y = 2x + 5? Group of answer choices (0, 0) (1, 7) (0.5, 6) (2, 9)
Answer:
All of the given ordered pairs are correct\included.
Step-by-step explanation:
the values listed in the csv filewaitingtimesare waiting times (in minutes) ofcustomers at the bank a, where customers enter a single waiting line that feedsthree teller windows. construct a 95% confidence interval for the populationstandard deviationσ.
The range of the population standard deviation with a 95% confidence level = 0.33 ≤ σ ≤ 0.87.
What does the population mean in terms of standard deviation?A data distribution's spread is measured by standard deviation. It calculates the average separation between each data point. Whether we consider the data to be a population unto itself or a sample of a larger population affects the formula we use to calculate standard deviation.
According to the given data:Sample data, x: {6.5, 6.6, 6.7, 6.8, 7.1, 7.3, 7.4, 7.7, 7.7, 7.7}
Sample size n = 10
Applying chi-square statistics with df=n-1=9-1=8
now 95% confidence interval is given by:
= [tex]\sqrt{\frac{(n-1) S^2}{\chi_{8,0.025}^2}} < \sigma < \sqrt{\frac{(n-1) S^2}{\chi_{8,0.975}^2}}[/tex]
= [tex]\sqrt{\frac{(9-1) * 0.462^2}{17.53}} < \sigma < \sqrt{\frac{(9-1) * 0.462^2}{2.18}}[/tex]
= 0.107 ≤ σ² ≤ 0.757
= 0.33 ≤ σ ≤ 0.87
The range of the population standard deviation with a 95% confidence level = 0.33 ≤ σ ≤ 0.87.
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I understand that the question you are looking for is:
The values listed below are waiting times (in minutes) of customers at the Jefferson Valley Bank, where customers enter a single waiting line that feeds three teller windows. Find the sample variance s2 then construct a 95% confidence interval for the population standard deviation σ. Round sample variance to three decimal places. Assume that the population has a normal distribution. Critical values should have three decimal places and confidence interval limits should have two decimal places.
6.5, 6.6, 6.7, 6.8, 7.1, 7.3, 7.4, 7.7, 7.7, 7.7
PLEASE HELP‼️For each direct variation, find the constant of variation. Then find the
value of y when x = -5.
y = -5 when x = 3
Answer: For each direct variation, find the constant of variation. Then find the value of $y$ when $x=-5 .$
$y=-\frac{2}{3}$ when $x=-\frac{1}{3}$
Step-by-step explanation:
Put the images below according to the sequence that the solar system formed. The last one is done for you.
Step-by-step explanation:
1. Cloud of Dust and gas
2. solar system formation
3. spinning disc
4. early solar system today
Los extranjeros ilegales ingresan a los Estados Unidos a una tasa de 200 cada día. Alrededor de 25000 son
aprendidos cada año.
¿Cuántos:
a) son aprendidos cada semana?
b) extranjeros ilegales permanecen en el país cada día, de acuerdo a estas
estimaciones?
Usando proporciones, los números se dan de la siguiente manera:
a) 1400 personas.
b) 132 personas al dia.
¿Qué es una proporción?Una proporción es una fracción de una cantidad total, y las medidas se relacionan usando una regla de tres. Debido a esto, se pueden construir relaciones entre variables, ya sea directas (cuando ambas aumentan o ambas disminuyen) o inversamente proporcionales (cuando una aumenta y la otra disminuye, o viceversa), para encontrar las medidas deseadas en el problema, o ecuaciones para encontrar estas medidas.
En este problema, hay que:
200 personas son aprendidas a cada día.En una semana hay 7 dias.Así, la candidad de personas aprendidas cada semana es:
7 x 200 = 1400 personas.
Por año, el número de personas que llega sin ser aprendida es dada por:
365 x 200 - 25000 = 48,000.
Por día, esta cantidad es dada por:
48000/365 = 132 personas al dia.
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f(x)=6x+5 , g(x)=−f(x) , and h(x)=f(−x) .
The domain of the function f (x) = x2 + 6x + 5 over the function g(x) = x3 + x2 − 4x − 4 is {x ∈ ℝ| x ≠ −1, −2, 2}.
The main limiting issue with the domain this function is potentially picking an x-value that makes that denominator equal 0, because dividing by 0 is bad.
So, the domain will be all real numbers, except for those that make g(x)=0.
g(-1) = 0, g(-2)=0, and g(2) = 0, so -1, -2, and 2 must be excluded from the domain.
Your answer is {x ∈ ℝ| x ≠ −1, −2, 2}.
Therefore, we get that, the domain of the function f (x) = x2 + 6x + 5 over the function g(x) = x3 + x2 − 4x − 4 is {x ∈ ℝ| x ≠ −1, −2, 2}.
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Your question was incomplete. Please refer the content below:
Given f (x) = x2 + 6x + 5 and g(x) = x3 + x2 − 4x − 4, find the domain of f over g of x period
{x ∈ ℝ}
{x ∈ ℝ| x ≠ −5}
{x ∈ ℝ| x ≠ −1, −2, 2}
{x ∈ ℝ| x ≠ −2, 2}
f(x)=3-2x g(x)=x+1\4 find fg(x) note: 4 is denominator for x+1
Step-by-step explanation:
you can ask questions for clarification
Samantha works on the weekends doing hair for her classmates.For every head she does ,she charges 26$ complete the table
Answer:
Charge 26, 78, 130, 182, 234
Step-by-step explanation:
If Heads is (1,3,5,7,9) CHARGE and charge is (26,0,0,0,0) if 1 head=26 then you can just multiply or use repetitive addition if you were to multiply do 3x26=78, 5x26=130, 7x26=182, and 9x26=324. If you were to use repetitive addition do 26+26+26=78, 26+26+26+26+26=130, 26+26+26+26+26+26+26=182, and 26+26+26+26+26+26+26+26+26=234.
I hope it helps!
~XxBells is a cute girlxX~
(14+24i)-(26-3i)+10i(11+11i) in standard form
Answer:
Step-by-step explanation:
14+24i-26+3i+110+100i
A-98+137i
5. Which is the vertex of the quadratic function f(x) = 2x² - 4x - 6?
(-1,8)
O (1,8)
O (1,-8)
O(-1,-8)
The given quadratic polynomial function f(x) = 2x² - 4x - 6 has the vertex at (1, -8). Thus, the correct option is option C.
A quadratic polynomial function is a function which may be written in the form of ax² + bx + c = 0 where a, b and c are coefficients and x is the variable of the function. The quadratic polynomial function forms a parabola when plotted on the graph.
To find the vertex to the quadratic polynomial function we determine the value of x coordinate by the formula (-b/2a) and substitute the value of x in the polynomial function to get the value of y coordinate.
f(x) = 2x² - 4x - 6.
x coordinate = (-b/2a)
x = (4/2×2)
x = 4/4
x = 1
Now, the value of y coordinate = 2(1)² - 4(1) - 6
y = -8.
Thus, the given quadratic polynomial function f(x) = 2x² - 4x - 6 has the vertex at (1, -8).
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The line with slope of - 2/5 passing through the point (-1,-1)
international travel is usually more expensive than domestic travel. a recent survey found that the average per-person cost of a 12-day international vacation is $1,755. this includes transportation, food, lodging, and entertainment.
Answer:
a. 7.78%
b.
c. lower
Step-by-step explanation: