Using only the values given in the table for the function, f(x), what is the interval of x-values over which the function is increasing?(–6, –3)(–3, –1)(–3, 0)(–6, –5)
Answers
The interval of x-values over which the function is increasing is (-3 , -1), the correct option is B.
What is a Function?A function is a law that relates two variables namely, a dependent and an independent variable.
A function always has a defined range and domain.
The x values and the corresponding function values are shown in the figure.
The x and y values are:
-6 -34
-5 3
-4 -10
-3 -11
-2 -6
-1 -1
0 -2
1 -15
The interval of x-values over which the function is increasing has to be determined.
The first option is (-6, -3) , the function is not increasing in this interval.
The second option is (-3 , -1) , the function is increasing in this interval.
The third option is(–3, 0), the function is not increasing in this interval.
The fourth option is (–6, –5), the function is not increasing in this interval.
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Related Questions
The given measurements may or may not determine a triangle. If not, then state that no triangle is formed. If a triangle is formed, then use the Law of Sines to solve the triangle, if it is possible, or state that the Law of Sines cannot be used. B = 153°, c = 10, b = 14
Answers
Answer:
The given triangle is possible.
Step-by-step explanation:
Given, the measurement of triangle ABC are,
∠ B = 153°, c = 10, b = 14,
By the law of sine,
[tex]\frac{sin C}{c}=\frac{sin B}{b}[/tex]
By cross multiplication,
[tex]sin C = \frac{c\times sin B}{b}[/tex]
By substituting the values,
[tex]sin C=\frac{10\times sin 153^{\circ}}{14}[/tex]
[tex]sin C=0.324278928386[/tex]
[tex]\implies \angle C=18.9218948147\approx 18.922^{\circ}[/tex]
Since, with help of sin law we found the measurement of the unknown angle of the triangle.
Hence, the given triangle is possible.
Answer:
C = 18.9°, A = 8.1°, a ≈ 4.3
What is 0.182 rounded to the 2 decimal point?
(2dp)
Answers
hope it helps
A population of bacteria doubles every 12 hours initially the population of bacteria is 80 what is the population of bacteria after 30 hours, rounded to the nearest whole number?
Answers
Answer:
not 480, answer is 453 according to K12.
Step-by-step explanation:
took the k12 test, the answer is in fact, 453.
The population of the bacteria after 30 hours will be 400.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the population of bacteria doubles every 12 hours initially the population of bacteria is 80 what is the population of bacteria after 30 hours?
The population will be calculated as,
12 hours = 2 times of 80
1 hour = 2 / 12 times of 80
30 hours = ( 30 x 2 x 80 ) / 12
30 hours = 400 bacterias
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How many perfect squares less than 100 have a tens digit of 6?
Answers
^^^^^^^^^^
A television network counted 1,771,548 viewers watching the golf tournament on its channel.There where 5,861,014 viewers watching a football game on another channel. Round eack number to the nearest thousand about how many viewers were watching the two events on telveision? A. 7,500,000 B. 7,600,000 C.7,700,000 D. 8,000,000
Answers
Hope I helped! ☺♥
[Mark as Brainliest!]
At a canning company the daily production cost, y, is given by the quadratic equation y = 650 – 15x + 0.45x2, where x is the number of canned items. What is the MINIMUM daily production cost?
A) $1,025.00 B) $1,186.25 C) $525.00 D) $536.25
Answers
(-b/2a, y)
x = 15/0.9 = 16.67 canned itemz
y = 524.95 $
So it's C.
Answer:
Option C) is correct
Step-by-step explanation:
Given : y is the daily production cost at a canning company such that [tex]y=650-15x+0.45x^2[/tex] wherex is the number of canned items .
To find : Minimum daily production cost
Solution :
[tex]y=650-15x+0.45x^2[/tex]
On differentiating both sides with respect to x, we get
[tex]\frac{\mathrm{d} y}{\mathrm{d} x}=-15+0.9x[/tex]
On putting [tex]\frac{\mathrm{d} y}{\mathrm{d} x}=0[/tex] , we get [tex]-15+0.9x=0\Rightarrow 15=0.9x\Rightarrow x=\frac{15}{0.9}=\frac{150}{9}=\frac{50}{3}[/tex]
We get intervals as \left ( -\infty , \frac{50}{3}\right )\,,\,\left ( \frac{50}{3},\infty \right )[tex]\left ( -\infty , \frac{50}{3}\right )\,,\,\left ( \frac{50}{3},\infty \right )[/tex]
For [tex]x=0\epsilon \left ( -\infty ,\frac{50}{3} \right )[/tex] , [tex]f'(0)=-15< 0[/tex]
For [tex]x=16\epsilon \left ( \frac{50}{3},\infty \right )[/tex] , [tex]f'(18)=-15+0.9(18)=-15+16.2=1.2> 0[/tex]
Therefore, [tex]y=\frac{50}{3}[/tex] is a point of minima.
So, minimum cost is equal to [tex]y\left ( \frac{50}{3} \right )[/tex]
[tex]y\left ( \frac{50}{3} \right )=650-15\left ( \frac{50}{3} \right )+0.45\left ( \frac{50}{3} \right )^2=650-250+125=\$ 525[/tex]
So, option C) is correct .
A nervous kicker usually makes 70% of his first field goal attempts. if he makes his first attempt, his success rate rises to 90%. what is the probability that he makes his first two kicks?
Answers
The probability that the kicker makes his first two kicks is 0.63, or 63%.
Let's denote the events:
A: The kicker makes his first kick
B: The kicker makes his second kick
Given:
P(A) = 0.7 (probability that the kicker makes his first kick)
P(B|A) = 0.9 (probability that the kicker makes his second kick given that he made his first kick)
To find the probability of both events A and B occurring (the kicker making his first two kicks), we can use the multiplication rule of probability:
P(A and B) = P(A) * P(B|A)
Substituting the given probabilities, we have:
P(A and B) = 0.7 * 0.9 = 0.63
Therefore, the probability that the kicker makes his first two kicks is 0.63, or 63%.
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The probability that the kicker makes his first two kicks is 0.63, or 63%.
Explanation:To find the probability that the kicker makes his first two kicks, we need to multiply the probabilities of each individual kick.
The kicker has a 70% chance of making his first kick, which means he has a 30% chance of missing it.
If the first kick is made, his success rate rises to 90%. So, the probability of making the second kick, given that he made the first kick, is 90%.
To find the probability of both kicks being made, we multiply the probability of making the first kick (0.7) with the probability of making the second kick given that the first kick was made (0.9).
0.7 * 0.9 = 0.63
Therefore, the probability that the kicker makes his first two kicks is 0.63, or 63%.
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A fish tank at an aquarium has a volume of 1,568 cubic feet and a depth of 8 feet. If the base of the tank is square, what is the length of each side of the tank?
Answers
volume = l x w x h
1568 /8 = 196
sqrt(196) = 14
each side is 14 feet
Answer with Step-by-step explanation:
A fish tank is in the shape of cuboid.
It's height is 8 feet
and volume=1568 cubic feet
we know that volume of cuboid=lbh
where l is the length, b is the width and h is the height
The base of the tank is square
i.e. l=b
Volume=l²h
⇒ 1568=l²×8
⇒ l²=196
⇒ l=14
Hence, The length of base of tank=14 feet
width of tank=14 feet
and height=8 feet
Refer to the equation 2x − 6y = 12. (a) Create a table of values for at least 4 points. Show your work.
Answers
x = 12 , y = 2
x = 15, y= 3
x = 18, y = 4
2(9) - 6(1) = 12
18 - 6 = 12 true
2(12) - 6(2) = 12
24 - 12 = 12 true
2(15) - 6(3) = 12
30 - 18 = 12 true
2(18) - 6(4) = 12
36 - 24 = 12 true
hope this helps
2(0)-6y = 12
Y=-2 (0,-2)
2(3)-6y=12
-6y=6
Y=-1. (3,-1)
2(12)-6y = 12
24-6y = 12
-6y = -12
Y= 2. (12, 2)
2(15)-6y = 12
30-6y= 12
-6y=-18
Y = 3. (15,3)
One day a store sold 20 sweatshirts. White ones cost $ 10.95 and yellow ones cost $ 13.50. In all, $262.35 worth of sweatshirts were sold. How many of each color were sold?
Answers
How did I get this?
First, we need to figure out what we know.
20 sweatshirts sold
White sweatshirts $10.95
Yellow sweatshirts $13.50
Total spent $262.35
$10.95W + $13.50Y = $262.35
W + Y = 20 sweatshirts
In both equations, the variables represent the amount of sweatshirts sold, which is unknown, but when we know the amount it will add up to $262.35.
Y = 20 - W so lets substitute that into the first equation
10.95w + 13.50(20 - W) = 262.35
Distribute the 13.50 into the parenthesis.
10.95w + 270 - 13.50w = 262.35
Combine like terms.
-2.55w + 270 = 262.35
Subtract both sides by 270, the left side will cancel out.
-2.55w = -7.65
Divide -2.55 by both sides to isolate the variable.
W = -7.65/-2.55
(W)hite = 3 sweatshirts
Put 3 sweatshirts into our second equations.
Y = 20 - 3
(Y)ellow = 17 sweatshirts
So, 17 yellow sweatshirts were sold and 3 white sweatshirts were sold.
Now, lets check our math by substituting the # of sweatshirts into our first equation.
$10.95(3) + $13.50(17) = $262.35
$32.85 + $229.50 = $262.35
$262.35 = $262.35 (correct!)
I really really need help with this question! PLEASE!
Answers
A pizza is cut into eight slices the slices are all the same size Carolina ate 2 slices what fraction of the pizza did Carolina eat
Answers
Describe the translation from AB TO AB
Answers
→A = (-5,1)
A' = (4,3)
so x moved from -5 to 4 which is an increase of 9
so x+9
y moved from 1 to 3 which is an increase of 2
so y+2
so answer should be:
(x,y) → (x+9,y+2)
Jane has $1000 that she would like to put in a savings account. The table below shows the balance over time in her account at a local bank.
Based on this model, how much would Jane have in her account after 12 years? Round to the nearest dollar if necessary.
time (years) balance in account
0 1000
1 1080
2 1166.40
3 1259.71
4 1360.49
answers
A.2518
B.2520
C.3000
D.2500
Answers
Hanna shops for socks that cost $2.99 for each pair and blouses that cost $12.99 each. Let x represent the number of pairs of socks purchased, and let y represent the number of blouses purchased. Which equation models the purchases she made with $43.92?
Answers
and let y represent the number of blouses purchased.
socks that cost $2.99 for each pair
and blouses that cost $12.99 each
equation
2.99x + 12.99y = 43.92
Answer:
[tex]2.99x+12.99y=43.92[/tex]
Step-by-step explanation:
Hanna shops for socks that cost $2.99 for each pair.
And blouses that cost $12.99 each.
Let x represent the number of pairs of socks purchased.
Let y represent the number of blouses purchased.
So, the cost for x socks will be [tex]2.99x[/tex]
And cost of y blouses will be [tex]12.99y[/tex]
Total amount spent by Hanna = $43.92
So, the equation that will model this situation will be:
[tex]2.99x+12.99y=43.92[/tex]
Help me please! |-.-| The struggle is real...
2x^2-13x+4=0
solve using the quadratic formula
Answers
A simple index of three stocks opens the day with these values: The index rises 3.4% over the course of the day. What is the value of the index at the end of the day? Round your answer to the nearest hundred.
Answers
Answer:
The value of the index at the end of the day is $45392.6.
Step-by-step explanation:
Given : A simple index of three stocks opens the day with these values:
[name] [number of shares] [price per share]
stock x 5000 shares $4.10
stock Y 2000 shares $4.50
stock z 4000 shares $3.60
The index rises 3.4% over the course of the day.
To find : What is the value of the index at the end of the day? Round your answer to the nearest hundred ?
Solution :
Stock values of x,y and z is given by,
Stock x,
[tex]5000\times 4.10=\$20500[/tex]
Stock y,
[tex]2000\times 4.50=\$9000[/tex]
Stock z,
[tex]4000\times 3.60=\$14400[/tex]
The total amount will be
[tex]A=20500+9000+14400[/tex]
[tex]A=\$43900[/tex]
The index rises 3.4% over the course of the day.
The value of the index at the end of the day is
[tex]V=43900 \times (1+3.4\%)\\V=43900 \times (1+0.034)\\V=43900 \times 1.034\\V= 45392.6[/tex]
Therefore, the value of the index at the end of the day is $45392.6.
x = {(2, 4), (3, 4), (4, 4), (5, 4)} Is x a function and why?
Answers
Find the ratio of 1 feet. 4 inches. to 1 yard
Answers
1 yard = (1 yard) * [(3 feet)/(1 yard)] * [(12 inches)/(1 foot)] = 36 inches
The ratio is: (16 inches)/(36 inches) = 16/36 = 4/9
(Note: the ratio has no units; it is expressed here as a fraction)
The ratio of 1 foot 4 inches to 1 yard is 16:36 or 4:9.
To find the ratio of 1 foot 4 inches to 1 yard, we first need to convert both measurements to the same unit. Since there are 3 feet in a yard and 12 inches in a foot, we can express both measurements in inches.
1 foot is equivalent to 12 inches.
Therefore, 1 foot 4 inches is:
1 [tex]\times[/tex] 12 + 4 = 12 + 4 = 16 inches
Now, since there are 3 feet in a yard, and each foot has 12 inches, 1 yard is equivalent to:
3 [tex]\times[/tex] 12 = 36 inches
Now we have both measurements in inches, and we can set up the ratio:
16 inches: 36 inches
Therefore, the simplified ratio is:
16:36.
We can further simplify this ratio by dividing both numbers by 4:
(16/4):(36/4) = 4:9.
Please help! Explain how to solve!
Answers
This is what you do.
2/3 - 1/9
= (2*9) - (1*3) / 3*9
= 18 - 3 / 27
= 15/ 27
Simplify.
5/9 + y = 7/9
Now since you need to isolate the variable you have to subtract 5/9 from both sides. Since the denominator is the same you can just subtract the numerator.
So y = 2/9
I hope this helps love! :)
Which set of ordered pairs could be generated by an exponential function?
Answers
The correct answer is option C.
EXPLANATION
In order to determine which ordered pairs are generated by an exponential function, we examine the y-coordinates to see which one has a constant ratio.
As for the first ordered pairs,
[tex] \frac{0}{ \frac{1}{2} } \ne \frac{ \frac{1}{2} }{0} [/tex]
These ordered pairs cannot be generated by an exponential function.
For the second option also,
[tex] \frac{0}{ - 1} \ne \frac{ 1}{0} [/tex]
These ordered pairs too cannot be generated by an exponential function.
For the the third option,
[tex] \frac{1}{ \frac{1}{2} } = \frac{2}{1} = \frac{4}{2} = 2[/tex]
Therefore these ordered pairs were generated by an exponential function.
The fourth option too,
[tex] \frac{0}{1} \ne \: \frac{1}{0} [/tex]
The ordered pairs could not be generated by an exponential function.
Which of the following is the range thanks
Answers
A personal trainer makes $25,000 per year and has just begun contributing 6% of his salary to his 401k plan if his employer matches 9% of his contributions how much will have been contributed to the 401k plan after 4 years
Answers
True or false in a two column proof the right column states your reasons
Answers
In two column proof the right column states your reasons is true statement.
In a two-column proof, the right column typically contains the statements of reasons or justifications for each step taken in the left column.
The left column contains a sequence of statements that represent the logical progression of the proof, while the right column provides the reasoning or logical basis for each step to show that it follows from the previous statements.
This format is commonly used in geometry to provide a clear and organized presentation of the proof's logical structure.
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What might a model for 3 x 3/5 look like? How many fifths would be shaded in all?
Answers
3 times 3/5 comes out to 9/5, which is equivalent to 1 4/5.
You'd need to draw not one but two circles and divide each circle into 5 equal "slices." Then you'd shade one circle completely and shade 4 of the 5 slices of the other circle. 9 fifths (9 slices) would be shaded in all.
Let f(x)=−3x. The graph of f(x) is transformed into the graph of g(x) by a vertical stretch of 4 units and a translation of 4 units right.
What is the equation for g(x) ?
Enter your answer in the box.
g(x)= ___________
The graph of the function f(x)=|3x| is translated 4 units up.
What is the equation of the transformed function?
Enter your answer in the box.
g(x)= ___________
Answers
Ques 1)
[tex]g(x)=-12x+48[/tex]
Ques 2)
[tex]g(x)=|3x|+4[/tex]
Step-by-step explanation:Ques 1)
We know that if a graph is stretched by a factor of a then the transformation if given by:
f(x) → a f(x)
Also, we know that the translation of a function k units to the right or to the left is given by:
f(x) → f(x+k)
where if k>0 then the shift is k units to the left
and if k<0 then the shift is k units to the right.
Here the graph of f(x) is transformed into the graph of g(x) by a vertical stretch of 4 units and a translation of 4 units right.
This means that the function g(x) is given by:
[tex]g(x)=4f(x-4)\\\\i.e.\\\\g(x)=4(-3(x-4))\\\\i.e.\\\\g(x)=-12(x-4)\\\\i.e.\\\\g(x)=-12x+48[/tex]
Ques 2)
We know that the transformation of the type:
f(x) → f(x)+k
is a shift or translation of the function k units up or down depending on k.
If k>0 then the shift is k units up.
and if k<0 then the shift is k units down.
Here, The graph of the function f(x)=|3x| is translated 4 units up.
This means that the transformed function g(x) is given by:
[tex]g(x)=|3x|+4[/tex]
Answer:
-12(x-4)
Step-by-step explanation:
I just took the test this is the answer!! Basically you take -3 and 4 and times it which would be -12. You then have x and another 4 left over. Since you are translating to the right you will be negative therefore giving us the answer -12(x-4).
The 6 members of the homecoming decorating committee want to make 525 paper flowers for the homecoming dance. Each flower takes about 412 minutes to make. About how long will each member of the committee have to spend making flowers?
Answers
Answer:
About 7 hours per person
Step-by-step explanation:
412 divided by 60 because there are 60 minutes in an hour.
6.8667 which is about 7 hours.
The each member will take 7 hours.
What is Unitary method?The formula of the unitary method is to find the value of a single unit and then multiply the value of a single unit to the number of units to get the necessary value
Given:
total member = 6 member
Each flower take = 412 minutes
we know
1 hour= 60 minutes
So, each member will have
=412/60
=6.866
=7 hours
Hence, each member will work for 7 hours
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If a class has 10 men and 14 women what is the ratio of men to the class
Answers
The ratio of men to class is 0.41.
We have a class of 10 men and 14 women.
We have to find out what is the ratio of men to the class.
Is a : b same as [tex]\frac{a}{b}[/tex] ?Yes, a : b is same as [tex]\frac{a}{b}[/tex]. Here, ' a ' is called Antecedent and ' b ' is called Consequent.
In the question given -
Total number of men in the class , n(m) = 10
Total number of students in class, n(c) = 24
Ratio of men to class = [tex]\frac{n(m)}{n(c)}[/tex] = [tex]\frac{10}{24}[/tex] = 0.41
Hence, the ratio of men to class is 0.41.
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Final answer:
The ratio of men to the entire class of 10 men and 14 women is 5:12, simplified by dividing the numbers of men and total students by the greatest common divisor.
Explanation:
The question asks to find the ratio of men to the entire class. The class has a total of 10 men and 14 women, which means the class size is 10 (men) + 14 (women) = 24 students.
To calculate the ratio of men to the entire class, divide the number of men by the total number of students: Ratio = 10 (men) / 24 (students). This can be simplified by dividing both numbers by the greatest common divisor, which is 2, giving us a simplified ratio of 5 (men) to 12 (students).
The ratio of men to the class is therefore 5:12.
Rectangle EFGH is translated according to the rule T -5,9(x,y). If the coordinates of the pre-image of point H are(-2,-3) what are the coordinates of H’
Answers
Answer: The co-ordinates of the image H' are (-7, 6).
Step-by-step explanation: Given that the rectangle EFGH is translated according to the following rule :
[tex]T_{-5,9}(x,y).[/tex]
We are to find the co-ordinates of the image H' if the co-ordinates of the pre-image H are (-2, -3).
We know that
[tex]T_{h,k}(x,y)=(x+h,y+k).[/tex]
For the given information, we have
(h, k) = (-5, 9) ⇒ h = -5 and k = 9.
Therefore, we get
[tex]T_{-5,9}(-2,-3)=(-2-5,-3+9)=(-7,6).[/tex]
Thus, the co-ordinates of the image H' are (-7, 6).
Solve for x.
5x2−34x=−24
Answers
10 - 34x =-24
-10 -10
-34x=-34
/-34 /-34
x= 1
To solve for x in 5x² - 34x = -24, set the equation to equal 0, factor the equation, and find the possible values for x. In this case, the solutions are x = 6/5 and x = 4.
Explanation:This is a problem in algebra, more specifically quadratic equations. To solve for x in the equation 5x² - 34x = -24, you first need to set the equation to equal zero: 5x² – 34x + 24 = 0.
Next you can factor the equation to find the possible values for x. In this case, the factored form is 5x² - 20x - 14x + 24 = 0 which further simplifies to 5x(x - 4) - 6(x - 4) = 0, and then (5x - 6)(x - 4) = 0.
When you set each factor equal to zero, you find the possible solutions for x. From 5x - 6 = 0, x = 6/5; and from x - 4 = 0, x = 4. Therefore the solutions are x = 6/5 and x = 4.
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