Answers
Answer:
3
Step-by-step explanation:
You want the value of f(2) for the graphed function.
Function valueThe value of the function f(a) is the y-coordinate of the point that has 'a' as its x-coordinate.
Finding the function value requires you locate x=a on the horizontal axis. Where the graph crosses that vertical line, the y-coordinate is the function value.
ApplicationHere, the vertical line x=2 meets the function graph at the dot with coordinates (2, 3). The y-value there is 3, so ...
f(2) = 3
Answer: [D]: " 3 " ; [that is; f(2) = 3 ].
____
We are asked to:
Evaluate the given function for f(2) ; within the given image.
By examination of the graph, we can verify that the graph is, in fact, a function—by using the vertical line test.
We find that no value for x shares more than one y-value; which means that the graph is a function.
____
Note that for a function: f(x) = y .
So; To find f(2) :
____
Note: f(2) = the "[ y - coordinate/corresponding value for y ]" ;
⇒ when " x = 2 ".
So; looking at the graph: We see that when " x = 2 " ; → " y = 3 " .
→ {Examine the co-ordinate/point: (2, 3) —that is part of the graph.}
So; f(2) = 3 ; which is Answer choice: [D]: " 3 ."
______
Hope this is helpful to you. Best wishes!
______
Related Questions
The mean systolic blood pressure of people in the U.S. is
124
124 with a standard deviation of
18
18. Assume that systolic blood pressure follows a normal distribution. Round your answers to one decimal. Use the 68-95-99.7 Rule to answer the following questions.
a) What percentage of the people in the U.S. have systolic blood pressure between
106
106 and
124
124?
%
%
Preview
b) What percentage of the people in the U.S. have systolic blood pressure between
88
88 and
160
160?
%
%
Preview
c) What percentage of the people in the U.S. have systolic blood pressure between
70
70 and
124
124?
%
%
Preview
d) What percentage of the people in the U.S. have systolic blood pressure above
160
160?
%
%
Answers
The percentages, using the Empirical Rule, are given as follows:
a) Between 106 and 124: 32%.
b) Between 88 and 160: 95%.
c) Between 70 and 124: 49.85%.
d) Above 160: 2.5%.
What does the Empirical Rule state?The Empirical Rule states that, for a normally distributed random variable, the symmetric distribution of scores is presented as follows:
The percentage of scores within one standard deviation of the mean of the distribution is of approximately 68%.The percentage of scores within two standard deviations of the mean of the distribution is of approximately 95%.The percentage of scores within three standard deviations of the mean off the distribution is of approximately 99.7%.The mean and the standard deviation in this problem are given as follows:
Mean of 124.Standard deviation of 18.Considering the symmetry of the normal distribution, to facilitate the calculations, we have that:
49.85% of the measures are between 70 and 124.47.5% of the measures are between 88 and 124.32% of the measures are between 106 and 124.32% of the measures are between 106 and 142.47.5% of the measures are between 124 and 160.49.85% of the measures are between 124 and 178.160 is two standard deviations above the mean, hence the percentage above it is of:
2.5%.
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A motorboat maintained a constant speed of 14 miles per hour relative to the water in going 33 miles upstream and then
returning. The total time for the trip was 7.0 hours. Use this information to find the speed of the current.
What is speed of the current is miles per hour?
Answers
The speed of the current is equal to 8 miles per hour.
How to calculate the speed of the current?Mathematically, speed of any physical object can be calculated by using this formula;
Speed = distance/time
Let the variable c represent the speed of the current in miles per hour. Therefore, the downstream and upstream speed relative to the water would be given by this mathematical expression:
Speed downstream = 14 + c.
Speed upstream = 14 - c.
Additionally, the total time would be given by:
Total time = total distance/speed
Time upstream + time downstream = 6.5 hours
33/(14 - c) + 33/(14 + c) = 7.0
Multiplying both sides of the equation by (14 - c)(14 + c), we have:
33(14 + c) + 33(14 - c) = 7.0(14 - c)(14 + c)
462 + 33c + 462 - 33c = 7.0(196 - c²)
924 = 7.0(196 - c²)
Dividing both sides of the equation by 7.0, we have:
132 = 196 - c²
Speed of the current, c² = 196 - 132
Speed of the current, c² = 64
Speed of the current, c = √64
Speed of the current, c = 8 miles per hour.
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How is Addy 4+ -4 similar to adding 4+4 how is it different use the words and models to explain
Answers
4- (+) (-4) is similar to 4+4 by the rule of addition in integers that is if Negative + Negative then Add the number and put the sign of greater number.
What is integer?Zero, a positive natural number, or a negative integer denoted by a minus sign are all examples of integers. The inverse additives of the corresponding positive numbers are the negative numbers. An integer, pronounced "IN-tuh-jer," is a whole number that can be positive, negative, or zero and is not a fraction. Integer examples include: -5, 1, 5, 8, 97, and 3,043. 1.43, 1 3/4, 3.14, and other numbers that are not integers are some examples. Three categories of integers exist: Zero (0) (0) Good integers (Natural numbers) Integer Negatives (Additive inverse of Natural Numbers).
The rules of addition in integers says,
- + - = +
by this,
4-(-4)=8
by concept of addition,
4+4=8
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If A = (1 , 4) and B = ( 7 , 6), then coordinates of the midpoint of AB are
Answers
Answer:
(4 , 5)
Step-by-step explanation:
midpoint formula: (x1+x2/2 , y1+y2/2)
so
(1+7/2 , 4+6/2)
(8/2 , 10/2)
4 , 5
A number line going from negative 20 to positive 20.
What is the absolute value of –20?
Use the number line to answer the question.
–20
0
20
40
Answers
Answer:
20
Step-by-step explanation:
Absolute value is the distance from zero. Absolute value is always positive.
| -20 | is positive. It is 20 units from 0. So it is 20.
| -20 | = 20
(Be careful, absolute value doesn't just flip the sign to the opposite.
| 20 | = 20 also because the distance from 0 to 20 is also 20.)
Question
Find the rate if a principal of $1,100 earned $1,089 interest in 12
years.
Answers
Answer:
Step-by-step explanation:
Intrest = PRT\100
$1089. =. ($1100x12xR)\100
$1089. = 132R
Divide through by 132.
R. =. 8.25%
Write an exponential function in the form y = ab^x that goes through points (0, 14)
and (4,8750).
Answers
The exponential function will be written as y = 14⁰.
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 exponential function is [tex]y = ab^x[/tex]. The equation of the exponential function passing through the point is,
[tex]y = ab^x \\[/tex]
14 = ab⁰
a = 14
The equation will be written as,
y = 14b⁰
y = 14⁰
Therefore, the exponential function will be written as y = 14⁰.
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Is 4.5 greater, less than, or equal to 4 and 1/2
Answers
Answer:
equal to
Step-by-step explanation:
4 + 1/2= 4+ 0.5= 4.5
4.5=4.5
Use the properties of congruent triangle to find the value of x and y. Be sure to show all your work
Answers
Answer:Angles in a triangle may or may not be congruent.
The values of x and y are 90 and 47, respectively.
From the figure, we have:
This means that, angle x is a right-angle.
So, we have:
Triangle ABC is an isosceles triangle.
So, we have:
The measure of y is then calculated as:
--- sum of angles in a triangle
This gives
Subtract 137 from both sides
Hence, the values of x and y are 90 and 47, respectively.
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Step-by-step explanation:
20. In Problem 14 in Chapter 11, we described a study
showing that students are likely to improve their test
scores if they go back and change answers after
reconsidering some of the questions on the exam
(Johnston, 1975). In the study, one group of students
was encouraged to reconsider each question and
to change answers whenever they felt it was appropri-
ate. The students were asked to record their original
answers as well as the changes. For each student, the
exam was graded based on the original answers and on
the changed answers. For a group of n = 40 students,
suppose that 26 had higher scores for the changed-
answer version and only 14 had higher scores for
the original-answer version. Is this result significantly
different from chance? Use a two-tailed test with
α = .01.
Answers
Johnny is 5 years younger than twice Bobby's age. If the sum of thier ages is over 66 years.
What is the Johnny's minimum age?
Answers
The minimum age of Johnny is 21 as calculated by linear inequality.
Let Johnny 's age be x.
hence bobby's age = (x+5)/2
Now the sum of their ages is over 66 years.
So we will set an inequality to find the minimum age of Johnny.
x + (x+5)/2 > 66
or, 2x + x + 5 > 66
or, 3x > 61
or, x > 20 1/3
Therefore age cannot be fraction hence the minimum age of Johnny is 21 years.
In mathematics, an inequality is a connection that makes an unequal comparison between two numbers and maybe other mathematical expressions. On that number line, size comparisons between two numbers are typically done. Different notations can be used to represent various kinds of inequalities, including:
A is smaller than b, as shown by the symbol a < b.
When the expression a > b is employed, it means that a is greater than b.
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2. Kira has three dogs, Luna, Cooper, and Daisy.
Cooper weighs 25 pounds less than Daisy. Luna
weighs 20 pounds less than three times Cooper.
If their combined weight is 175 pounds, how
much does Luna weigh?
A. 59 pounds
B. 74 pounds
C. 78 pounds
D. 82 pounds
Answers
If their combined weight is 175 pounds, The amount of Luna weight is D. 82 pounds.
How to determine the weight?Let x represent the weight of Cooper
Let x +25 represent the weight of Daisy
Let 3x -20 represent the weight of Luna
Hence,
x + (x +25) + (3x -20) = 175
5x +5 =175
Combine like terms
5x = 175 -5
5x =170
Divide both side by 5x
x = 170/5
x =34
Weight of Luna
3x -20 where x= 34
3(32) -20
= 102 -20
= 82 pounds
Therefore the correct option is D.
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I had 35 assignments for the week. The ratio for English assignments to the rest of the assignments was 2:3. How many assignments were NOT English?
Answers
Answer:
21 Assignments were NOT English.
can you explain thia
Answers
So y= mx+5
Then the gradient is -2 (rise/run)
so y= -2x+5
Then just make it an inequality with the inequality sign, clearly it is a greater than or equal to inequality as the shaded part is going up and the line is a solid line, so
y>(line under) -2x-5
hope that made any sense
Find the Average Rate of Change (AROC) of y = 4(1/2)^x over the interval [-2, 0].
a) 6
b) -6
c) 4
d) -4
Answers
Answer:
b) -6------------------------
Find the value of the function at the endpoints of the given intervalx = - 2 ⇒ y = 4(1/2)⁻² = 4(2)² = 4(4) = 16x = 0 ⇒ y = 4(1/2)⁰ = 4(1) = 4Average rate of change isChange in y / change in x =(4 - 16)/(0 - (-2)) = - 12 / 2 = - 6Correct choice is B.
Answer:
b) -6
Step-by-step explanation:
The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:
[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]
Given the interval is [-2, 0]:
a = -2b = 0Substitute the endpoints of the interval into the function and solve:
[tex]\begin{aligned}x=-2 \implies f(-2)&=4\left(\dfrac{1}{2}\right)^{-2}\\& = 4(4)\\&=16\end{aligned}[/tex]
[tex]\begin{aligned}x=0 \implies f(0)&=4\left(\dfrac{1}{2}\right)^{0}\\& = 4(1)\\&=4\end{aligned}[/tex]
Therefore:
[tex]\begin{aligned}\implies\dfrac{f(b)-f(a)}{b-a}&=\dfrac{f(0)-f(-2)}{0-(-2)}\\\\&=\dfrac{4-16}{0+2}\\\\&=\dfrac{-12}{2}\\\\&=-6\end{aligned}[/tex]
NO LINKS!! Please help me with these graphs Part 2a
Answers
Answer:
Left graph.
Domain: all real numbers.
Range: y ≤ 4
Middle graph.
Domain: all real numbers
Range: y ≥ 3
Right graph.
Domain: x ≥ -2
Range: y ≥ -3
Answer:
1. Domain: (-∞, ∞) Range: (-∞, 4]
2. Domain: (-∞, ∞) Range: [3, ∞)
3. Domain: [-2, ∞) Range: [-3, ∞)
Step-by-step explanation:
Definitions
Domain: The set of all possible input values (x-values).Range: The set of all possible output values (y-values).Open circle: The value is not included in the interval.Closed circle: The value is included in the interval.Arrow: The function continues indefinitely in that direction.Note: Assume that each square on the given graphs is 1 unit.
Question 1As there are arrows at both endpoints of the curve, the domain of the function is unrestricted.
Domain: (-∞, ∞)The curve has a maximum point at (2, 4) and continues indefinitely towards negative infinity at both endpoints.
Therefore, the range of the function is restricted.
Range: (-∞, 4]Question 2As there are arrows at both endpoints of the function, the domain is unrestricted.
Domain: (-∞, ∞)The function has a minimum point at y = 3.
When x > -2, the line continues indefinitely at y = 3.
When x < -2, the line continues indefinitely towards infinity.
Therefore, the range of the function is restricted.
Range: [3, ∞)Question 3The domain of the function is restricted since there is a closed circle at one endpoint: (-2, -3). When x > -2, the line continues indefinitely towards infinity.
Domain: [-2, ∞)The function has a minimum point at (-2, -3). As x continues towards infinity, so does y.
Therefore, the range of the function is restricted.
Range: [-3, ∞)A school is arranging a field trip to the zoo. The school spends 895.28 dollars on passes for 36 students and 2 teachers. The school also spends 321.84 dollars on lunch for just the students. How much money was spent on a pass and lunch for each student?
Answers
Total number of students and teachers = 44+2 = 46
Amount spend on one pass =
Amount spend on lunch= 425.92 dollars
Amount spend on one lunch =
For calculating amount of lunch and pass for each student we will add the amounts;
Each student costed = Each lunch amount + Each pass amount
Total money for one student =
Total money for one student = 28.56 Dollars
I almost broke my brain doing this a brainliest answer would be nice
lee has seven 5-dollar bills and 6 quarters
in his pocket. How much money would he have
left in his pocket if he buys a leather jacket
worth $35.20.
Answers
Answer:
Lee would have $1.30 left.
Step-by-step explanation:
7 x 5 = $35
6 x .25 = $1.50
Altogether, Lee has $36.50 before buying the jacket
$36.50 - 35.20 = $1.30
mathhhhhhhhhhhhhhhhhhhh
Answers
Answer: x = 4. This solution relates to the original equation because when you substitute x for 4, the equation will simplify correctly as 0 = 0.
Step-by-step explanation:
To solve, we will isolate the variable with inverse operations.
Given:
3x - 12 = 0
Add 12 to both sides of the equation:
(3x - 12) + 12 = (0) + 12
3x = 12
Divide both sides of the equation by 3.
(3x) / 3 = (12) / 3
x = 4
This solution, x = 4, relates to the original equation because when you substitute x for 4, the equation will simplify correctly as 0 = 0.
Answer:
x=4
Step-by-step explanation:
3x-12 = 0
Solve the equation
Add 12 to each side using the addition property of equality
3x-12+12 = 0+12
3x= 12
Divide each side by 3 using the division property of equality
3x/3 = 12/3
x = 4
The solution is what satisfies the original equation
Question content area top Part 1 What is the constant of proportionality in the equation y=−7.48x?
Answers
The constant of proportionality of the equation y =−7.48x is - 7.48.
What is proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent
In other words, two variables have a proportional relationship if the ratios of the variables are equivalent.
Therefore, a proportional relationship is one in which two quantities vary directly with each other.
Hence, in mathematical form,
y ∝ x
y = kx
where
k = constant of proportionalityy varies directly as the variable x.
In the equation,
k = - 7.48
Therefore, the constant of proportionality is - 7.48.
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Oliver borrowed $1,500 to purchase a riding lawn mower for his lawn care business. The bank offered him an interest rate of 12% for 6 months. Calculate the simple interest using I = prt.
$69
$90
$420
$1,080
Answers
Answer: The answer to this question is $90.
Step-by-step explanation:
The Simple interest is $90.
What is Simple Interest?Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan. The daily interest rate, the principle, and the number of days between payments are multiplied to calculate simple interest.
For example, if you borrowed $100 from a friend and agree to repay it with 5% interest, then the amount of interest you would pay would just be 5% of 100: $100(0.05) = $5.
Given:
P= 1500
R = 12%
T= 6 month = 1/2 year
Using, formula of Simple Interest
I = P x R x T /100
I = 1500 x 12 x 1/ 2x100
I = 18000/200
I = 90
Hence, the interest is $90.
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What is the correct answer
Answers
Answer: See coordinate graph below.
Step-by-step explanation: The black point is the original point and the red point is the reflected point.
Ordered pair of the reflected point:
A': (1, -4)
Let me know if this is right! :)
a sequence is defined by a term to term rule
iteration help please
Answers
By the sequence of term to term rule the value of : a) [tex]U_{1}[/tex]= [tex](U_{0})^{2}[/tex] + 3 =[tex]1^{2}[/tex] + 3 = 4 b). [tex]U_{2}[/tex] = [tex](U_{1})^{2}[/tex] + 3 = [tex]4^{2}[/tex] + 3 =19 c). [tex]U_{3}[/tex] = [tex](U_{2})^{2}[/tex] + 3 = [tex]19^{2}[/tex] + 3 = 364 .
What is the term to term rule like for you?
Give the first number in the sequence and then describe the pattern of the numbers to get the term-to-term rule. Three is the first number. The rule for terms to terms is "add 4." All of the terms in the series can be located once the initial term and term to
[tex]$$\mathrm{u}_0=1$$[/tex]
The difference is given by[tex]$u_{n+1}=\left(u_n\right)^2[/tex]+ 3
We have to simply put the value in their places to get the proper answer -
a). Put the [tex]$u_{n+1}=u_1$[/tex]
n+1 = 1 ⇒ n = 0
put n = 0in the formula[tex]$\mathrm{u}_{n+1}=\left(\mathrm{u}_n\right)^2[/tex] +3
we wil get
[tex]$$u_1=\left(u_0\right)^2[/tex] + 3 = [tex]1^{2}[/tex] =3 = 4
b). Put the [tex]$u_{n+1}=u_2$[/tex]
n + 1 = 2 => n = 1
put n=1 in the formula [tex]$u_{n+1}=\left(u_n\right)^2[/tex]+3
we wil get:
[tex]$$u_2=\left(u_1\right)^2[/tex]+3= [tex]4^2[/tex]+3=19
c). Put the [tex]$u_{n+1}=u_3$[/tex]
n + 1 = 3 => n = 2
Put n=2 in the formula+3
we wil get :
[tex]$$u_3=\left(u_2\right)^2[/tex] +3= [tex](19)^2[/tex] +3 =364
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Questions
Surds exam questions
Q1. Express √3+√12 in the form a√3 where a is an integer.
Answers
Explanation
tenths hundreths thousands
1. 67.925
2. 182.0051
3. 39.1432
4. 85. 0267
5. 97.7352
Answers
Answer:
Step-by-step explanation:
1) sixty-seventh and nine hundred and twenty-five thousands
2)one-eighty two and fifty-one thousands
3)thirty-nine and thousand four thirty two thousands
4) eighty five and two sixty seven thousands
5) ninety seven and seven thousand and three-fifty two thousands
Question 3 of 10
The blue segment below is a diameter of 0. What is the length of the radius
of the circle?
7.7
0
A. 15.4 units
B. 3.85 units
C. 11.55 units
D. 7.7 units
Answers
Answer:
I think B. 3.85 units
Step-by-step explanation:
The effect of the time of day a science class is laught on test scores is being studied in an experiment. Giving every student in the experiment the same final exam is an example of which experimental design principle?
Answers
Giving every student in the experiment the same final exam is an example of A. Randomization.
What is an experimental design?The process of conducting research in an objective and controlled manner in order to maximize precision and draw specific conclusions about a hypothesis statement is known as experimental design.
The process in which participants in clinical trials are randomly assigned to separate groups that receive different treatments or other interventions. Neither the researcher nor the participant has any say in which treatment or intervention the participant receives.
A random process is a sequence of random variables that describe a process whose outcomes follow an evolution described by probability distributions. This was illustrated in the examination.
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Complete options
A. Randomization
B. Blocking
C. Direct control
D. Replication
Calculate the number of different three-course meals a patron could choose from at the Butcher Shop Steakhouse during Restaurant Week. What conditions had to be met for you to calculate the number of different outcomes for this experiment?
Answers
The probability of getting watermelon is 3/58.
The given values are
A pineapple chew was selected 53 Times
A lemon chew was selected 2 times
A watermelon chew was selected 3 times
The probability that you Bella remove from the bag is pineapple chew.
probability is which we can't predict actual it is usually about the prediction
As we know
probability - expected outcome/total outcome
The question Bela perform experiment 58 times then the total outcome will be 58 if you pineapple was selected 53 times the probability of the chew Bella pick of pineapple is 53/58
The probability of Bella pick chew of lemon -2/58
The probability of Bella pick watermelon is - 3/58
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PLEASE HELP AND FAST
Answers
Answer:
d [tex]\frac{-4}{3}[/tex]
Step-by-step explanation:
change in y over the change in x
[tex]\frac{-2-2}{1- -2}[/tex] = [tex]\frac{-4}{3}[/tex]
Pls help question 9 and 10
Answers
The theorem that will prove similarity of triangle ΔGHS and ΔFES is AAA ( angle angle angle) theorem. The value of FE is 45m.
AAA theorem states that if two triangles have all three corresponding angles equal then they are similar triangles.
In the given figure FE║GE means FE is parallel to GE.
so ∠EFS = ∠HGS
and ∠FES = ∠GHS
also ∠S is common for both.
If two triangles are similar then ratio of corresponding sides are also same.
So, by applying this
[tex]\frac{FS}{GS}[/tex] = [tex]\frac{FE}{GH}[/tex]
54/24 = FE/20
( 54*20 ) / 24 = FE
FE = 45m.
Therefore the triangles will be similar by theorem AAA and the value of FE will be 45m.
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