What is the range of the function on the graph?
Answer:
The range is the set of possible output values, which are shown on the y-axis. Keep in mind that if the graph continues beyond the portion of the graph we can see, the domain and range may be greater than the visible values.
Step-by-step explanation;
The range of a function is the set of y-coordinates of all the points int he graph of the function.
Look at the graph. The vertex is point (2, -3).
The graph does not go lower than that point.
The lowest y-coordinate is -3.
The graph goes up forever on both sides until infinity.
The range is all numbers greater than or equal to -3.
Select the correct answer.
What is the range of the function f(x) = 4x + 9, given the domain D={-4,-2,0, 2}?
Given:
The function is
\(f(x)=4x+9\)
Domain = {-4, -2, 0, 2}
To find:
The range of the given function for the given domain.
Solution:
We know that domain is the set of input values and range is the set of output values.
We have, \(f(x)=4x+9\) and domain = {-4, -2, 0, 2}.
Putting x=-4 in the given function, we get
\(f(-4)=4(-4)+9\)
\(f(-4)=-16+9\)
\(f(-4)=-7\)
Putting x=-2 in the given function, we get
\(f(-2)=4(-2)+9\)
\(f(-2)=-8+9\)
\(f(-2)=1\)
Putting x=0 in the given function, we get
\(f(0)=4(0)+9\)
\(f(0)=0+9\)
\(f(0)=9\)
Putting x=2 in the given function, we get
\(f(2)=4(2)+9\)
\(f(2)=8+9\)
\(f(2)=17\)
The output values are -7, 1, 9, 17. So, the range of the function f(x) for the given domain is {-7, 1, 9, 17}.
Therefore, the correct option is D.
PLS HELP IT’S DUE TMR!!
Answer:
Use ≈ (approximately equal) sign as the scientific notation.
Step-by-step explanation:
(a) 0.001872 ≈ 0.0019
(b) 0.3411 ≈ 0.34
(c) 0.000845 ≈ 0.00085
*Zeros before non-zero numbers are not significant.
*Zeros appearing between two non-zero digits are significant.
Hope this helps!!
Small scooters cost £80 and large scooters cost £130. A school buys few scooters for the playground for £1000. How many of the smaller and larger scooter did they buy?
Answer:
Small scooters = 6
Large scooters = 4
Step-by-step explanation:
Let S represents small scooter and L represents large scooter
The cost of a small scooter is £80
Mathematically, the cost of S number of small scooters is
80S
The cost of a large scooter is £130
Mathematically, the cost of L number of large scooters is
130L
The total amount spent on both scooters is £1000
Mathematically,
80S + 130L = 1000
So we have 2 unknowns and only 1 equation. Therefore, we have use trial and error method .
Trial and Error Method:
80S + 130L = 1000
80S = 1000 - 130L
S = (1000 - 130L)/80
Let’s suppose they bought 1 large scooter
S = (1000 - 130(1))/80
S = 10.875
Number of scooters cannot be in fraction so 1 doesn’t work
Let’s suppose they bought 2 large scooter s
S = (1000 - 130(2))/80
S = 9.25
Number of scooters cannot be in fraction so 2 doesn’t work
Let’s suppose they bought 3 large scooter s
S = (1000 - 130(3))/80
S = 7.625
Number of scooters cannot be in fraction so 3 doesn’t work
Let’s suppose they bought 4 large scooters
S = (1000 - 130(4))/80
S = 6
So that means they bought 6 small scooters and 4 large scooters.
Similarly, other combinations for scooters don’t work since they yield either fractional value or negative value which cannot be correct.
Therefore, the only possible combination of small and large scooters is
6 Small scooters
4 Large scooters
Verification:
80S + 130L = 1000
80(6) + 130(4) = 1000
480 + 520 = 1000
1000 = 1000 (satisfied)
9 Ferdinand invests $50 at a rate of r % per year, simple interest. After 4 years he has a total amount of $56. Calculate the value of r.
The value of r. in the scenario is 3%
How to calculate the value of r.From the question, we have the following parameters that can be used in our computation:
Principal = $50
Rate = r
Time = 4 years
Total amount = $56
The formula for simple interest is:
I =A - P = Prt
substitute the known values in the above equation, so, we have the following representation
56 - 50 = 50 * r * 4
So, we have
200 * r = 6
Dividing both sides by 200, we get:
r = 0.03 = 3%
Hence, Ferdinand's annual interest rate is 3%.
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commutative property under integers with an example
Answer:
you can swap the integer
Step-by-step explanation:
example:
2+3= 5
3+2 = 5
2 * 3= 6
3 * 2 = 6
You can remember the commutative property by thinking of the numbers "commuting," or changing places. The example shows us that "negative two plus positive four" is the same as "positive four plus negative two."
Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 127 millimeters, and a variance of 36. If a random sample of 35 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by greater than 0.5 millimeters? Round your answer to four decimal places.
The probability that the sample mean would differ from the population mean by greater than 0.5 millimeters is 1
How to determine the probability value?From the question, the given parameters about the distribution are
Mean diameter = 127Variance = 36 The actual data value, x = Less than 0.5The standard deviation is the square root of variance
So, we have
Standard deviation = 6
The z-score is calculated using the following formula
z = (x - mean value)/standard deviation
Substitute the given parameters in the above equation
z = (0.5 - 127)/6
Evaluate
z = -21.08
The probability is then calculated as:
P(x > 0.5) = P(z > -21.08)
From the z table of probabilities, we have;
P(x < 0.5) = 1
Hence, the probability is 1.0
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the volume of a cube depends on the length of its sides. The volume of a cube depends on the length of its sides. This can be written in function notation as v(s). What is the best interpretation of v(4) = 64?
Answer options in the picture.
Answer:
B. A cube with side lengths of 4ft has a volume of 64 cubic feet.
Step-by-step explanation:
The best interpretation of the function is that a cube with a side length of 4ft has a volume of 64ft³;
Function;
v(s) = s³
s is the side of the cube;
Now, if we input 4, the cube is 64
A function simply relates a set to another one.
So, answer choice B is the right one
what is the circumfrence of a circle with a diameter of 36 inches in terms of pie
whats the rate of change
If 3+x<5 and 8+x>5,What range of values of x satisfies both inequalities?
The range of values of x which satisifies both of the inequalities is:
(-3, 2)
What range of values of x satisfies both inequalities?Here we have two inequalities:
3 + x < 5
8 + x > 5
And we want to see which range of values of x satisfie both of these inequalities.
If we isolate x on both inequalities, we will get:
3 + x < 5
x < 5 - 3
x < 2
And the other one is:
8 + x > 5
x > 5 - 8
x > -3
Then we havethe compound inequality:
x < 2
x > -3
Then the range of values that satisfies both inequalities is (-3, 2)
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GRAPHINGRELATIONSHIPS:
sketch a graph
Sherry read 1/3 of a book,then went to bed. The next day she finished reading the entire book 
Sherry's commitment and love for reading allowed her to embark on a literary adventure that spanned two days. From the initial taste of 1/3 to the final bite of the remaining line 2/3, she had read the entire book, savoring every word and getting lost in the magic of storytelling.
Sherry's reading adventure began with her diving into a book, eager to explore its contents. She managed to devour a portion of the book, specifically 1/3 of it, before feeling the sweet embrace of sleep and deciding to call it a night.
The following day arrived, and Sherry's desire to unravel the remaining mysteries of the book was still burning bright within her. Determined to quench her thirst for knowledge, she dedicated herself to reading the rest of the book. With focused determination, she turned page after page, immersing herself in the story's captivating world.
As the hours ticked by, Sherry felt the satisfaction of progress. With each passing chapter, she could sense herself inching closer to the climax and resolution of the story. The characters became like old friends, and the plot twists kept her on the edge of her seat.
Finally, as the sun dipped below the horizon, Sherry turned the last page and completed the final chapter. She had done it. She had finished reading the entire book. The sense of accomplishment washed over her, accompanied by a bittersweet feeling that the journey had come to an end.
Reflecting on her reading experience, Sherry realized that she had initially read 1/3 of the book before retiring for the night. That meant there were still 2/3 of the book left for her to discover on the subsequent day. And indeed, she did just that. She dedicated her time and energy to devouring the remaining 2/3 of the book, leaving no page unturned.
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Help me out please an thank you
Answer:
equivalent is the aswer
What is 1 whole divided by 5/12
Step-by-step explanation:
Answer:
0.01(66)
Step-by-step explanation:
i dunno, i just did it. also have a gugul calculator lol
What type of calculator is used in algebra 2?
In Algebra 2, students typically use a scientific calculator.
A scientific calculator has advanced functions beyond basic arithmetic operations.
Some of the functions commonly used in Algebra 2 include logarithms, exponents, trigonometric functions, and statistical calculations. Therefore, a scientific calculator with these functions would be most useful for Algebra 2.
Examples of calculators that are often used in Algebra 2 include the TI-84 Plus , the TI-Nspire CX, the Casio fx-9750GII, and the HP Prime Graphing Calculator.
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Find X:
tangent, cosine or sine?
Answer:
x ≈ 2.76
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan78° = \(\frac{opposite}{adjacent}\) = \(\frac{AB}{BC}\) = \(\frac{13}{x}\) ( multiply both sides by x )
x × tan78° = 13 ( divide both sides by tan78° )
x = \(\frac{13}{tan78}\) ≈ 2.76 ( to 2 dec. places )
please help ASAP :( ! which of the following is most likely to be the next step in the series?
Which equation describes a line that has a slope of -2/3 and passes through the point (-6,9)?
A y= -2/3x+9
B y= -2/3x+5
C y= 5x-2/3
D y= -6x+9
If the equation 2x2+bx+5=0 has no real solutions, which of the following must be true?
Answer:
There are no choices but in order to qudratic equation not to have real roots the discriminant must be negative.
d = b² - 2*2*5 = b² - 20If d < 0, we get:
b² - 20 < 0b² < 20b < |√20|- √20 < b < √20or
-2√5 < b < 2√5or
b = (-2√5, 2√5)Please help me urgently
Answer:
A=36°
B=54°
C=90°
a=7
b=9.6
c=11.9
Step-by-step explanation:
Upper case A,B,C are angles. B and C are given. Calculate A because the three angles in a triangle add up to 180°. See image.
Lower case a,b, and c are side lengths.
a is given. You need to use trigonometry and a calculator to find b or c or both. Or you can find one and use the Pythagorean Theorem to find the other. See image.
The sum of two numbers is 9 and their difference is 7. Find the two numbers.
8 and 1
4 and 5
6 and 3
9 and 0
Answer:
8 and 1
Step-by-step explanation:
The sum means that the two numbers added together make up what they're asking. Difference means you're subtracting between the two. For our purposes, we can just look at each answer option and firstly see which one has a difference of 7.
8-1=7
4-5=-1
6-3=3
9-0=0
And just to double check, we try adding 8 and 1, which is 9! Yay! :P
show your work
7(x-8)=2x-31
Answer:
x=5
Step-by-step explanation:
7 (x-8)=2x-31
Distribute the 7 to the x and -8 (basically multiple 7 with the x and -8)
7x-56=2x -31
Drag the 2x over to the other subtracting it from 7x.
7x-2x-56=-31
5x-56=-31
Drag the 56 to the other side and add it to -31
5x= -31+56 (or 56-31)
5x= 25
Divide 5x from 25 to get your X
x=25/5
x=5
Hope this helps!!
When you add the same signs, find the ____ and ____ .
Answer: the absolute values and give the answer the same sign
Step-by-step explanation:
Distinguish between a correlation and an autocorrelation. how are these measures similar? how are they different?
A correlation is a causative association between two or more variables, whereas an autocorrelation is a correlation of variables in successive ranges.
What is correlation?A correlation is defined as a causative association between two or more variables (different variables), which can be used to make predictions about a given outcome.
The correlation coefficient enables the estimation of this association between different variables.
Moreover, an autocorrelation is a special type of correlation between variables that can be found in successive ranges (e.g. range time intervals).
In conclusion, a correlation is a causative association between two or more variables, whereas an autocorrelation is a correlation of variables in successive ranges.
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(›)
Which is more, 1 tablespoon or 2 teaspoons?
Answer: 1 tablespoon
Step-by-step explanation:
LOTS OF POINTS WILL GIVE BRAINLIEST IF ANSWERED CORRECTLEY PLZ HELP
i added a image of the question if needed
list the transformations of the given function f (x) = -1/2 . 4 ^ (x - 6) +5
A) horizontal shift right 6
B) horizontal shift left 6
C) horizontal shift down 5
D) vertical shift up 5
E) vertical strech by 1/2
F) vertical compression by 2
G) vertical strech by 4
H) vertical compression by 1/2
I) reflection over the x axis
Answer:
A) horizontal shift right 6
i) reflection over the x axis
E) vertical strech by 1/2
D) vertical shift up 5
Step-by-step explanation:
f (x) = -1/2 . 4 ^ (x - 6) +5
fx=−1/24^(x−6)+5
y=−1/2 4^(x−6)+5
ok
the negative makes a reflection over x-axis
vertical stretch by 1/2
+5= up 5 vertically
(x-6) makes it go right 6
uploaded image for extra help
Same as before I did it all and I got the same anwser
The probability of the simultaneous occurrence of two events A and B is equal to the probability of A multiplied by the conditional probability of B giten that A has occurred (it is also equal to the probability of B multiplied by the conditional probability of A given that B has occurred).
When dealing with the simultaneous occurrence of two events A and B, the probability can be determined by using the probability of one event and the conditional probability of the other event given that the first event has occurred. Both P(A) * P(B|A) and P(B) * P(A|B) are valid ways to calculate this probability.
The concept of probability is fundamental in various fields such as mathematics, statistics, and even in everyday life. The probability of the simultaneous occurrence of two events A and B is a critical concept in probability theory. According to the definition, the probability of A and B occurring at the same time is equal to the probability of A multiplied by the conditional probability of B given that A has occurred. This equation is also valid in the reverse case, where the probability of B and A occurring simultaneously is equal to the probability of B multiplied by the conditional probability of A given that B has occurred.
Understanding the relationship between the probability of two events and their conditional probabilities is essential in predicting the likelihood of these events happening together. In real-life situations, this concept can be used to determine the probability of two events such as the success of a product launch and the corresponding increase in sales. The probability of these two events occurring simultaneously can be predicted by analyzing the probability of the product launch's success and the conditional probability of sales increasing given that the product launch is successful.
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Crispy Clover, a popular vegetarian restaurant, introduced a new menu that has 20% more dishes than the previous menu. The previous menu had D dishes.
Answer:
N = D * 1.20
Step-by-step explanation:
In order to calculate the number of dishes that the previous menu had we first need to turn this percentage into a decimal by dividing it by 100
20% / 100 = 0.20
Now we add a 1 to it since we are increasing the old menu by this amount
0.20 + 1 = 1.20
Now we can multiply this by the previous menu dishes (D) to get the new amount of menu dishes (N)
N = D * 1.20
During a very cold winter, water pipes sometimes burst because:
The water pipe sometimes bursts in winter because of the flowing water getting transformed into freezing water due to drop in temperature and the volume increases creating more pressure on the wall pipes.
Bursting of Water Pipes During a Very Cold Winter
The straightforward explanation is that during very cold winters, as water freezes into ice, it expands, causing solid ice to fill a larger volume than the liquid that was previously flowing through the pipes.
As we know that, the pressure P increases with increase in volume, V, the increased volume of frozen water leads to increase in the pressure inside the pipe.
The pressure that the ice builds up inside the pipes could rupture the pipe walls.
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there are between 24-40 students in a class
the ratio of boys to girls are 4:7
how many students are in the class?
Answer:
33
Step-by-step explanation:
the ratio "parts" (4&7) total to 11 so the number of students must be a multiple of 11. 33 is the only multiple of 11 that falls between 24 and 40.
HOPE THIS HELPS!!!