Answers
Answer:
a
Step-by-step explanation
The plotted upon graph function is y = {x² + 2, x < 1 and -x + 2, x ≥ 2}.
The correct option is A.
What is a quadratic function?A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.
Given:
The graph of the function is given:
And function is a piecewise function.
The upper quadratic function defined over the domain x < 1.
And line function define over the domain x ≥ 2.
The function that satisfies the domain is,
y = {x² + 2, x < 1 and -x + 2, x ≥ 2}
Therefore, the function is y = {x² + 2, x < 1 and -x + 2, x ≥ 2}
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Related Questions
Which description matches the algebraic expression 45 n?
the sum of a number and 45
the quotient of a number and 45
the product of a number and 45
the difference of a number and 45
Answers
Answer:
The product of a number and 45
Step-by-step explanation:
Answer:
the product of a number and 45
Step-by-step explanation:
i just finished the quiz
518489625648789*46548897
Answers
Answer:
\(2.41351201 *10^2\)
Step-by-step explanation:
hope this helps have a good rest of your day :) ❤
here yall goooo!
oh ye if anyone likes sad or like that vibey music
go to spotify and put " KB'S"
:P
Answers
Answer:
thank you
Step-by-step explanation:
I will listen to later
Answer:
okay .................
Jovante decides to start a business by making buttons and selling them for 25 cents each. The button machine costs $125 and the materials for each button cost 10 cents.
Write a cost function, C, that represents the cost in dollars of making n buttons.
a. C(n) = .10n + 125
c. C(n) = 125.10n
b. C(n) = 125n + .10
d. C(n) = n + 125.10
Please select the best answer from the choices provided
Answers
Answer:
Step-by-step explanation:
it is I(n) = .25n
It is claimed that 25 % of students who take Algebra get an A in the course. If a random sample of n=200 students is selected , what is the expected value ( mean) of the sample proportion
Answers
The expected value ( mean) of the sample proportion is 50 that is shown in a step-by-step manner.
Step: 1
21- It is claimed that 25 % of students who take Algebra get
an A in the course. i.e., = 0.25
If a random sample of =200 students is selected.
The expected value ( mean) of the sample proportion
= n x p
= 0.25*200
= 50
An average of n numbers computed by adding some function of the numbers and dividing by some function of n. Expected value (also known as EV, expectation, average, or mean value) is a long-run average value of random variables. It also indicates the probability-weighted average of all possible values. Expected value is a commonly used financial concept
The expected value ( mean) of the sample proportion is 50.
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Find the number that belongs
in the green box.
322
7
125°
[?]
Round your answer to the nearest tenth.
Answers
Answer:
2.7
Step-by-step explanation:
322/7=46
46*125=2.71739
round off
2.7
In a clinical trial, 780 participants suffering from high blood pressure were randomly assigned to one of three groups. Over a one-month period, the first group received the experimental drug, the second group received a placebo, and the third group received no treatment. The diastolic blood pressure of each participant was measured at the beginning and at the end of the period and the change in blood pressure was recorded. The average change in blood pressure was calculated for each of the three groups and the three averages were compared.
A. This was an experiment rather an observational study. How do we know that?
B. Identify the factors and levels.
C. Are all the principles of experimental design included in this experiment? Explain.
Answers
Answer:
A. We know that this was an experiment rather than an observational study because treatments were administered, with the first group receiving the experimental drug, the second group receiving a placebo, and the third group receiving no treatment."
B. The factors are the variables. The independent variable was group three that received no treatment, while the dependent variables were the first and second groups that received some treatments. Another variable is the change in blood pressure recorded at the end of the period.
The levels refer to the different treatments that were administered to the three groups: experimental drug, placebo, and no treatment.
C. The principles of experimental design are Randomization, Repetition, and Control. We are not aware of how the participants were chosen and this experiment was not replicated in the scenario. We can affirm that there is Control because the three groups were not given the same treatment.
Step-by-step explanation:
In an observation, the researcher does not attempt to change any variables. She simply observes and then records her observations. In an experimental study, the researcher creates a control group and, also at least, one testable group. The purpose is to compare the control group and the testable group.
At a baseball game, a vender sold a combined total of 191 sodas and hot dogs. The number of hot dogs sold was 47 less than the number of sodas sold. Find the number of sodas sold and the number of hot dogs sold.
Answers
The number of sodas sold at the baseball game was 119, while the number of hot dogs sold was 72.
Let's assume the number of sodas sold as 'x' and the number of hot dogs sold as 'y'.
According to the problem, the total number of sodas and hot dogs sold is 191, so we can write the equation:
x + y = 191 ...(1)
The problem also states that the number of hot dogs sold was 47 less than the number of sodas sold. Mathematically, we can express this as:
y = x - 47 ...(2)
To find the values of x and y, we can solve the system of equations (1) and (2). Substituting equation (2) into equation (1), we have:
x + (x - 47) = 191
Simplifying the equation:
2x - 47 = 191
2x = 191 + 47
2x = 238
Dividing both sides by 2:
x = 238/2
x = 119
Substituting the value of x back into equation (2):
y = 119 - 47
y = 72
As a result, the total amount of sodas sold is 119, and the total amount of hot dogs sold is 72.
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P(x)=2x 4 −x 3 +2x 2 −6P, left parenthesis, x, right parenthesis, equals, 2, x, start superscript, 4, end superscript, minus, x, cubed, plus, 2, x, squared, minus, 6 What is the remainder when P ( x ) P(x)P, left parenthesis, x, right parenthesis is divided by ( x − 2 ) (x−2)left parenthesis, x, minus, 2, right parenthesis?
Answers
Answer:
P = -x^3 +12 / x+6
Step-by-step explanation:
Let's solve for p.
px=(2)(4)−x3+(2)(2)−6p
Step 1: Add 6p to both sides.
px+6p=−x3−6p+12+6p
px+6p=−x3+12
Step 2: Factor out variable p.
p(x+6)=−x3+12
Step 3: Divide both sides by x+6.p(x+6)
x+6
=
−x3+12
x+6
p=
−x3+12
x+6
Use an associative law to find an expression equivalent to
s + (r + 75)
Answers
As you can see below, both expressions result in the same value of 105. This demonstrates the application of the associative law in regrouping terms and maintaining the equivalence of the expression.
The associative law in mathematics states that the grouping of numbers in an addition or multiplication operation does not affect the result. In other words, you can regroup terms within parentheses without changing the value of the expression.
Using the associative law, we can regroup the terms in the expression s + (r + 75) by removing the parentheses and rearranging the terms:
s + (r + 75) = (s + r) + 75
The expression (s + r) + 75 is equivalent to s + (r + 75) because the addition operation is associative.
Let's take an example to illustrate this:
Suppose s = 10 and r = 20.
Using the original expression:
s + (r + 75) = 10 + (20 + 75) = 10 + 95 = 105
Using the expression with regrouped terms:
(s + r) + 75 = (10 + 20) + 75 = 30 + 75 = 105
As you can see, both expressions result in the same value of 105. This demonstrates the application of the associative law in regrouping terms and maintaining the equivalence of the expression.
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does anyone get how to do transformations?
Answers
Answer:
B. reflection
Step-by-step explanation:
hope this helps :3
if it did pls mark brainliest
sorry if im wrong
PRE CALC HELP NEEDED
Answers
Answer:
\(\dfrac{5e^2}{2}\)
Step-by-step explanation:
Differentiation is an algebraic process that finds the slope of a curve. At a point, the slope of a curve is the same as the slope of the tangent line to the curve at that point. Therefore, to find the slope of the line tangent to the given function, differentiate the given function.
Given function:
\(y=x^2\ln(2x)\)
Differentiate the given function using the product rule.
\(\boxed{\begin{minipage}{5.5 cm}\underline{Product Rule for Differentiation}\\\\If $y=uv$ then:\\\\$\dfrac{\text{d}y}{\text{d}x}=u\dfrac{\text{d}v}{\text{d}x}+v\dfrac{\text{d}u}{\text{d}x}$\\\end{minipage}}\)
\(\textsf{Let\;$u=x^2}\)\(\textsf{Let\;$u=x^2$}\implies \dfrac{\text{d}u}{\text{d}x}=2x\)
\(\textsf{Let\;$v=\ln(2x)$}\implies \dfrac{\text{d}v}{\text{d}x}=\dfrac{2}{2x}=\dfrac{1}{x}\)
Input the values into the product rule to differentiate the function:
\(\begin{aligned}\dfrac{\text{d}y}{\text{d}x}&=u\dfrac{\text{d}v}{\text{d}x}+v\dfrac{\text{d}u}{\text{d}x}\\\\&=x^2 \cdot \dfrac{1}{x}+\ln(2x) \cdot 2x\\\\&=x+2x\ln(2x)\end{aligned}\)
To find the slope of the tangent line at x = e²/2, substitute x = e²/2 into the differentiated function:
\(\begin{aligned}x=\dfrac{e^2}{2}\implies \dfrac{\text{d}y}{\text{d}x}&=\dfrac{e^2}{2}+2\left(\dfrac{e^2}{2}\right)\ln\left(2 \cdot \dfrac{e^2}{2}\right)\\\\&=\dfrac{e^2}{2}+e^2\ln\left(e^2\right)\\\\&=\dfrac{e^2}{2}+2e^2\\\\&=\dfrac{5e^2}{2}\end{aligned}\)
Therefore, the slope of the line tangent to the graph of y = x²ln(2x) at the point where x = e²/2 is:
\(\boxed{\dfrac{5e^2}{2}}\)
A cannonball is fired in the air at an angle of 45°. How far does it travel before it is 600 feet above ground? (Assume the cannonball travels in a straight line. Ignore the force of gravity and wind resistance. Round your answer to the nearest foot.)
Answers
Answer:
Step-by-step explanation:
Since the cannonball is fired at an angle of 45°, it will have the same horizontal and vertical velocities.
Let x be the distance it travels before it is 600 feet above ground. At this point, its vertical displacement will be 600 feet, and we can use the formula for vertical displacement:
y = v0*t + (1/2)at^2
Since there is no initial vertical velocity and we are ignoring gravity, a = 0 and the equation simplifies to:
y = 0*t + 0 = 600
Solving for t, we get:
t = sqrt(2y/a) = sqrt(2*600/0) = undefined
This means that the cannonball will never be 600 feet above ground if we ignore gravity. Since this is not realistic, we cannot answer this question without additional information or by assuming that gravity is acting on the cannonball.
A coral reef is 2 miles due south of its closest point along a straight shoreline. A visitor is staying in a cabin that is 4 miles west of that point. The visitor is planning to go from the cabin to the coral reef. Suppose the visitor runs at a rate of 6 mph and swims at a rate of 3 mph. How far should the visitor run to minimize the time it takes to reach the coral reef
Answers
Answer:
5.54 miles
Step-by-step explanation:
1. Assume she runs up to a point that is x miles to the east of the coral reef:
distance running =
distance swimming =
2. Times:
time= distance / speed
time running =
time swimming =
3. Total time
time running + time swimming:
4. Minimize time
The minimum time is when the derivative of the function of time is zero.
Find the derivative of T(x), using rule of the sum, the derivative of the sum is the sum of the derivatives, and the chain rule:
Solve for x:
5. Distance the visitor should run to minimize the time
Hence, the visitor should run 5.54 miles.
please mark me brainliest!
If A and B are events with P(A)=0.5, P(A OR B)=0.54, and P(A AND B)=0.16, find P(B).
Provide your answer below:
Answers
Answer:
P(B) = 0.20
Step-by-step explanation:
If A and B are events with P(A)=0.5, P(A OR B)=0.54, and P(A AND B)=0.16, find P(B).
Provide your answer below:
We are given two events A and B and the formula for the probability of two events is given as:
P ( A ∪ B) = P(A ) + P( B ) - P( A∩ B)
Where:
P(A)=0.5
P ( A ∪ B) = P(A OR B)=0.54
P( A∩ B) = P(A AND B)=0.16
P(B) = ??
Hence, we have:
0.54 = 0.5 + P(B) - 0.16
Making P(B) subject of the formula
P(B) = 0.54 - 0.5 + 0.16
P(B) = 0.20
Here are the shopping times (in minutes) for each of fifteen shoppers at a local grocery store. Shopping times (in minutes) 29 35 27 26 24 20 37 34 24 33 24 36 32 18 31 (b) Construct a histogram for the data. (a) Complete the grouped frequency distribution for the data. (Note that the class width is 5.) Frequency Shopping times (in minutes) Frequency 18 to 22 23 to 27 OOOO 28 to 32 33 to 37 18 to 22 23 to 27 28 to 32 Shopping times in minutes) 33 to 37 X 5 ? xo?
Answers
Frequency is the number of occurrences of a repeating event.
What do you mean by frequency?The frequency of an occurrence or a value is the number of times it happens. A frequency table is a list of objects with the frequency of each item shown in the table.
The information that is gathered is called data. The quantity of occurrences of an event or value is referred to as its frequency. A frequency table is a table that lists items and displays how frequently each item happens.
The number of times a specific data value occurs is the frequency of that data. We use f to symbolise the frequency of a data value.
As an illustration, the grade A is said to occur frequently if five students received an A in science.
Here we have the events:
shopping time between occurrences frequency
18 to 22: 20, 18 2
23 to 27: 27, 24, 26, 24, 24 5
28 to 32 29, 31 2
33 to 37 37, 34, 35, 33, 36, 32 6
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If A= ("-2" 6 1) (1 9 "-6)" ("-9" 9 "-9)" and B= ("-5" 9 6) (-2 "-7" 4) (1 10 "-1)," find "-4A" + 6B
Answers
40 - 42 + 12a = 6
16a = 48
a =3
12. In a parking lot, there is an equal number of white red, blue, green and
yellow cars. How many cars could possibly be in the parking lot?
O 53
O 54
O 55
O 56
Answers
Answer:
56
Step-by-step explanation:
the number of colour variations of cars is 4.
therefore the possible number of cars should be divisible by 4.
of the given answers only 56 is divisible by 4.
HELP!!
Find the degree of each monomial
21
X/4
Answers
Answer:
Step-by-step explanation:
degree = sum of the exponents of the the letters
x/4 = when an exponent isn’t written, its degree is 1 = 1
-7 xy = (1+1) = 2
21 = there aren’t letters, so the degree is 0
4 x²y = (2+1) = 3
What is the measure of X?
154.3
A. 25.7°
Supplementary Angles: Two angles that
add to equal 180°
B. 180°
C. 64.3°
D. 26.3°
B
оооо
Answers
Answer:
A. 25.7°
Step-by-step explanation:
the sum of straight angle is 180°.
so, i subtract 154.3 from 180.
i get 25.7 °
Angle α lies in quadrant II, and tanα=−12/5. Angle β lies in quadrant IV, and cosβ=35.
What is the exact value of cos(α+β)?
Enter your answer in the box.
Answers
Answer:
Step-by-step explanation:
[-5/13] 3/5 +12+13 [-4/5 = - 63/65
solve for x
plss help
Answers
Answer:
2
Step-by-step explanation:
These two are similar triangles. 3 corresponds to 9, and x corresponds to 6. Since 3 is being multiplied by 3 to get 9, x*3 should equal 6. Therefore, x is 2.
Elizabeth drove two-fifths of a mile in 30 seconds. Which of the following shows
Elizabeth's speed?
75 miles per minute
12 miles per minute
0.8 miles per minute
0.2 miles per minute
Answers
Answer:
c.
Step-by-step explanation:
Need help pls. Kind of struggling to get an answer
Answers
Answer:
c. 216 m squared
do 6×6 to find the missing area then do 12×21 to fine whole area then subtract 252 and 36. hope this helps
PLEASE HELP ON QUESTION ASAP !
hi ! I really need help understanding paragraph and I've also added a question about paragraph by me down below . Would like explanation in simple words.
If answers correct I'll rate you five stars a thanks and maybe even brainliest
Paragraph I needed help understanding:
If two or more cells are connected together side by side, the voltage across them is sum of the voltage of each cell. This is because both cells are pushing same way.
My Question about paragraph:
If the sum lets say was 4.5v would every individual cell be worth 4.5 as it says in question ' voltage across them is the sum of voltage of each cell ' or are they each a different value? And how would we be able to find value?.
Answers
If the sum of the voltage is 4.5V, it is possible that different cells have different voltages. For example, three cells with voltages 1V, 1.5V, and 2V could be connected together side by side to give a total voltage of 4.5V.
To find the voltage of each cell, we would need to know the voltage across each cell or the voltage of the other cells connected in the circuit. Then we could use the fact that the sum of the voltages across all cells in the circuit is equal to the total voltage of the circuit to solve for the voltage of each cell.
The probability Kayla will score above 70% on a mathematics test is 0.60. Kayla will take four tests this semester. We want to find the probability she will score above 70% on exactly three out of the four tests. What is the probability of Kayla scoring above 70% on exactly three out of the four tests
Answers
The probability of Kayla scoring above 70% on exactly three out of the four tests is 8.64%.
ProbabilityGiven that the probability Kayla will score above 70% on a mathematics test is 0.60, and Kayla will take four tests this semester, and we want to find the probability she will score above 70% on exactly three out of the four tests, to determine what is the probability of Kayla scoring above 70% on exactly three out of the four tests, the following calculation must be performed:
0.6 x 0.6 x 0.6 x 0.4 = X0.216 x 0.4 = X0.0864 = X0.0864 x 100 = 8.64Therefore, the probability of Kayla scoring above 70% on exactly three out of the four tests is 8.64%.
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Does (3, -50) make the equation y = -8x true?
Answers
Hey there!
y = -8x
→ -50 = -8(3)
→ -8(3) = -50
→ -8(3) = -24
→ -24 ≠ -50
Yes and no but mainly no because -24 doesn’t equal -50 (the y-intercept)
Answer: NO
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Simplify the following algebraic expression.
square root of 392x^7
Answers
Answer:
\( \sqrt{392 {x}^{7} } \)
Simplify
that's
\( \sqrt{392} \times \sqrt{ {x}^{7} } \\ \\ = \sqrt{196 \times 2} \: \times \sqrt{ {x}^{7} } \\ \\ = 14 \sqrt{2} \times \sqrt{ {x}^{7} } \\ \\ = 14 \sqrt{2x ^{7} } \)
Hope this helps you
Consider the following figure:
Answers
Answer:
angle <B = 76
Step-by-step explanation:
The measure of an exterior angle is equal to sum of two interior angles that is not adjacent to the exterior angle.
We can write the following equation with this information to find the value of angle <B
<B + 71 = 147 subtract 71 from both sides
<B = 76
Ayuda operaciones y respuesta es para ahora
Answers
The perimeter of the given window is 48 centimeter.
From the given figure,
Perimeter of window = 2(Length+Breadth)
= 2(10+14)
= 2×24
= 48 centimeter
Perimeter of house = 2(Length+Breadth)
= 2(37+35)
= 2×72
= 144 centimeter
Perimeter of roof = 2(Length+Breadth)
= 2(37+5)
= 2×42
= 84 centimeter
Therefore, the perimeter of the given window is 48 centimeter.
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