f(x)=x^2+5x what is the functions degree? what is the leading coefficient?
Answer:
the correct answer is d
Step-by-step explanation:
The leading coefficient is negative, so the graph rises on the left and falls on the right.
Therefore as x approaches infinity, y will be approaching negative infinity.
can someone help my find the simularity and the valu of x?problem makes no sense to me
The correct answer is x = 5
Triangle DBC is similar to triangle DBA.
So, by Similarity Theorem,
\(\begin{gathered} \frac{CB}{AB}=\frac{CD}{AD} \\ \\ \frac{21}{2x-5}=\frac{14}{10} \\ \text{Cross multiplying, we get} \\ 14(2x-5)=12\times10 \\ \text{Clearing the bracket, we get} \\ 28x-70=210 \\ \text{Collecting like terms, we get} \\ 28x=210\text{-70} \\ 28x\text{ = 140} \\ \text{Dividing both sides by 28, we get} \\ x=\frac{140}{28}=5 \\ x=5 \end{gathered}\)The correct answer is x = 5
describe how the author hooked you as the reader (the story name is "The Chase")
HELP PLZZZ
Which expression is represented by the diagram? ( Marked 1-4, I can't paste the question.)
Answer:
-6-(-1)
Step-by-step explanation:
Since all the boxes are negative, and there are 6 boxes, the first part of the equation is -6. Then since the last box is being taken away, we are subtracting it. The last box is still negative though so the last part is -1. Since -6 subtracted by -1 is -6-(-1), the answer is:
-6-(-1)
use the least common denominator to enter an equivalent fraction for ea fraction.
Given
\(\frac{5}{28}and\frac{3}{56}\)To find the LCD, we find the LCM of the denominators. Find the LCM of 28 and 56:
\(\begin{gathered} 28=2\cdot2\cdot7 \\ 56=2\cdot2\cdot2\cdot7 \end{gathered}\)So:
\(\text{LCD}=2\cdot2\cdot2\cdot7=56\)Next, to write 5/28 as a fraction with a common denominator we will multiply the denominator and numerator by 2. This is:
\(\frac{5}{28}=\frac{5\cdot2}{28\cdot2}=\frac{10}{56}\)And to write 3/56 as a fraction with a common denominator we will multiply the denominator and numerator by 1. So:
\(\frac{3}{56}=\frac{3\cdot1}{56\cdot1}=\frac{3}{56}\)Answer:
\(\begin{gathered} \frac{5}{28}=\frac{10}{56} \\ \frac{3}{56}=\frac{3}{56} \end{gathered}\)The top eight hitters in a softball league have batting averages of .373 , .360 , .321 , 321 , .320 , .312 , .311 , and .311. Find the mean of the batting averages.
The mean of the batting averages is 0.341125.
Mean is used to summarize a set of data, frequently to help determine the overall significance of the data set.
To find the mean of the batting averages, we need to sum up all the batting averages and divide by the total number of players.
Batting averages: .373, .360, .321, .321, .320, .312, .311, .311
Sum of batting averages = .373 + .360 + .321 + .321 + .320 + .312 + .311 + .311
Sum of batting averages = 2.729
Now, we divide the sum by the total number of players, which is 8:
Mean = Sum of batting averages / Total number of players
Mean = 2.729 / 8
Calculating the mean:
Mean ≈ 0.341125
The mean of the batting averages is approximately 0.341125.
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Write the equations of the following lines.
a. The line is parallel to y=3x+2 and passes through the point (0,0).
b. The line is perpendicular to the graph of y=x+1 and passes through the point (1,1).
PLS HELP! THANK YOU!
Answer:
a. y= 3x
b. y= -x + 2
Step-by-step explanation:
Its the answer
Answer:
b is y=2x-1 and i dont know for a. im also stuck on it
Step-by-step explanation:
Identify the errors made in finding the inverse ofy = x2 + 12x.x= y2 + 12xy2 = x - 12xy2=-11xy=-11x, for x > 0Describe the three errors?
First, starting from the equation:
\(y=x^2+12x\)We should change every x for a y and every y for an x, so:
\(x=y^2+12y\)In the text, the first step was:
\(x=\questeq y^2+12x\)So, the first mistake was not to change the linear term 12x for 12y.
Another mistake was made from the following steps:
\(\begin{gathered} y^2=-11x \\ y=\sqrt[]{-11x},x\ge0 \end{gathered}\)The expression inside the square root must be greater or equal to 0, then:
\(\begin{gathered} -11x\ge0 \\ \Rightarrow x\le0 \end{gathered}\)So, the second mistake was not to identify the domain of x correctly.
A third mistake is that the square root of y^2 is not y, it is |y|. So:
\(\begin{gathered} y^2=-11x \\ \Rightarrow|y|=\sqrt[]{-11x} \\ \Rightarrow y=\pm\sqrt[]{-11x} \end{gathered}\)What is the average increase in pennies for Daisy's piggy bank over the first 2 days (starting with day 0)?
The average increase in first 2 days is 1.5 pennies/day.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Given is a tabular data about Daisy's piggy bank.
The average increase in first 2 days -
{a} = (7 - 4)/(2 - 0)
{a} = 3/2
{a} = 1.5
Therefore, the average increase in first 2 days is 1.5 pennies/day.
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A=5. Move the dot to -(-A) on the number line
A pizza with 24 inch diameter cut into 16 pieces whats the area of each slice
Answer:
About 28.27 inches² per slice
Step-by-step explanation:
First, we will find the area of the pizza. Since it is a pizza, we will assume it is a circle and will use the formula for area of a circle.
24-inch diameter / 2 = 12-inch radius
A=πr²
A=π(12)²
A ≈ 452.39 inches²
Now, since the pizza is cut into 16 slices, we will divide the total area by 16.
452.39 inches² / 16 ≈ 28.27 inches² per slice
Nevaeh is a high school basketball player. How many points would Nevaeh score in a game if she made 2 free throws (worth one point each) and 5 three point shots? How many points would Nevaeh score in a game if she made x free throws and y three point shots?
Melody would make 5 points for answering this question
A 2-column table with 5 rows. Column 1 is labeled Key Words with entries twelve, more than, quotient, a number, eight. Column 2 is labeled Replace with entries 12, +, divided by, k, 8. Write and evaluate the expression. Then, complete the statement. twelve more than the quotient of a number and eight The value of the expression when k = 40 is
Answer:
17
Step-by-step explanation:
hope it helps
Answer:
The value of the expression when k = 40 is 17.
Step-by-step explanation:
Please give the person that answered before me the brainiest because they deserve it, I just used their answer so you could choose brainiest.
Shakeva buys a car for $41.9K. Her state charges a 5% sales tax, $27 for registration, $19 for a new title certificate, and $45 for a state safety and emissions inspection. How much will she owe in total for the purchase of the car, including all the fees?
Answer:
Shakeva will pay $44,086 for the purchase including all the fee.
Step-by-step explanation:
Given that:
Cost of car = $ 41.9K = 41.9*1000 = $41900
Sales tax = 5%
Sales tax = 0.05 * 41900 = $2095
Registration = $27
New title certificate = $19
State safety and emissions inspection = $45
Total amount = 41900 + 2095 + 27 + 19 + 45 = $44086
Hence,
Shakeva will pay $44,086 for the purchase including all the fee.
Small metal parts each measure to 3/16
of an inch. How many of these parts
can be cut from a strip of metal that
is 30 inches long?
Answer:
160
Step-by-step explanation:
How many 3/16 are in 30.
30 ÷ 3/16
160
Hi I need help for this part
The number of cars needed for both repairs and needed new brakes, but not a new exhaust system will be 13 and 10, respectively.
What are Sets?Sets are groups of clearly specified components. The number of items in a finite set is denoted by a curly bracket.
At Auto Shop, 50 vehicles were investigated. 23 of the vehicles required new brakes (A), 34 required new fumes frameworks (B), and 6 vehicles required neither fix.
The number of cars that needs new brakes and new exhaust systems will be calculated as,
AUB = 50 - 6
AUB = 44
The number of cars needed for both repairs will be given as,
A∩B = A + B - AUB
A∩B = 23 + 34 - 44
A∩B = 13
The number of cars that needed new brakes, but not a new exhaust system will be given as,
⇒ 23 - 13
⇒ 10
The number of vehicles required for the two fixes and required new brakes, however not another exhaust framework will be 13 and 10, individually.
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what is the slope of the line tangent to the graph of y=x2−2x2 1 when x = 1 ?
The slope of the line tangent to the graph of \(y = x^2 - 2x + 1\) when \(x = 1\) is 2.
1. Take the derivative of the given function: \(y' = 2x - 2\).
2. Substitute \(x = 1\) into the derivative: \(y' = 2(1) - 2 = 2\).
To find the slope of the tangent line, we need to differentiate the given function with respect to \(x\). The derivative of \(x^2\) is \(2x\), and the derivative of \(-2x\) is \(-2\). Therefore, the derivative of \(y = x^2 - 2x + 1\) is \(y' = 2x - 2\).
Next, we substitute \(x = 1\) into the derivative to find the slope at that point. By plugging in \(x = 1\) into the derivative, we get \(y' = 2(1) - 2 = 2\). Thus, the slope of the tangent line at \(x = 1\) is 2.
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Solve the system of equations by the addition method
5x – 3y = 4
7x-2y = 4
Answer:
\((x,y)= > (\frac{4}{11},-\frac{8}{11})\) or \((x,y)= > (0.36,-0.72)\)
Step-by-step explanation:
Addition method, is also known as the Elimination method.
\(\left \{ {{5x-3y=4} \atop {7x-2y=4}} \right.\\\\\left \{ {-2({5x-3y=4}) \atop 3({7x-2y=4})} \right.\\\\\left \{ {{-10x+6y=-8} \atop {21x-6y=12}} \right.\\\\11x=4\\\\\frac{11x}{11} =\frac{4}{11}\\\\x = \frac{4}{11}\)
\(5x-3y=4\)
\(5(\frac{4}{11}) -3y=4\\\\\frac{20}{11} -3y=4\\\\11(\frac{20}{11} -3y=4)\\\\20-33y=44\\\\-20 -20\\\\-33y=24\\\\/-33 /-33\\\\y = \frac{24}{-33} =\frac{8}{-11}\\\\y=-\frac{8}{11}\)
\((x,y)= > (\frac{4}{11},-\frac{8}{11})\) or \((x,y)= > (0.36,-0.72)\)
Hope this helps!
ii. suppose the following system has a center as its critical point. what is the value of α? x1′ = αx1 2x2 x2′ = −3x1 2x2
The value of α for which the system has a center as its critical point is α = -3.
The given system of equations is:
x₁' = αx₁ + 2x₂
x₂' = -3x₁ + 2x₂
To find the critical points, we set the derivatives equal to zero:
αx₁ + 2x₂ = 0
-3x₁ + 2x₂ = 0
From the first equation, we can solve for x1 in terms of x₂:
x₁ = (-2x₂) / α
Substituting this expression into the second equation:
-3((-2x₂) / α) + 2x₂ = 0
(6x₂ / α) + 2x₂ = 0
Multiplying through by α:
6x₂ + 2αx₂ = 0
Factoring out x₂:
6 + 2α) x₂ = 0
For x₂ to be nonzero, the term (6 + 2α) must be zero:
6 + 2α = 0
Solving for α:
2α = -6
α = -3
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a busy student must complete 3 problem sets before doing laundry. each problem set requires 1 day with probability 2/3 and 2 days with probability 1/3. let b be the number of days a busy student delays laundry. what is ex(b)
The value of expected time ex(b)=1 day approximately if b is the number of days a busy student delays Laundry.
What is meant by expected time?The basic anticipated value formula is (P(x) * n): the probability of an occurrence multiplied by the number of times the event occurs.
The expected value (also known as the expectation, expectancy, mathematical expectation, mean, average, or first moment) is a generalization of the weighted average in probability theory. The anticipated value is the arithmetic mean of a large number of independently chosen random variable outcomes.
Let b be the number of days a busy student puts off doing laundry.
The given information is tabulated as below:
Days(b) 1 2
Probability, p(b) 2/3 1/3
The expected time is given as,
E(b)=∑i=1ᵇp(b)
=(1×(2/3))+(2×(1/3))
=4/3
=1.3333
Therefore, the value of ex(b):
1.3333 day ≈ 1 day
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What is the mathematical expression for modified Reynolds Analogy, also known as Chilton-Colburn analogy?
The modified Reynolds analogy, also known as the Chilton-Colburn analogy, is expressed mathematically as Nu = f * Re^m * Pr^n. It relates the convective heat transfer coefficient (h) to the skin friction coefficient (Cf) in fluid flow. This equation is widely used in heat transfer analysis and design applications involving forced convection.
The modified Reynolds analogy is a useful tool in heat transfer analysis, especially for situations involving forced convection. It provides a correlation between the heat transfer and fluid flow characteristics. The Nusselt number (Nu) represents the ratio of convective heat transfer to conductive heat transfer, while the Reynolds number (Re) characterizes the flow regime. The Prandtl number (Pr) relates the momentum diffusivity to the thermal diffusivity of the fluid.
The equation incorporates the friction factor (f) to account for the energy dissipation due to fluid flow. The values of the constants m and n depend on the flow conditions and geometry, and they are determined experimentally or by empirical correlations. The modified Reynolds analogy is widely used in engineering calculations and design of heat exchangers, cooling systems, and other applications involving heat transfer in fluid flow.
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there are 30 men and 15 of them have facial hair how much percentage would that be
What is the area, in square meters, of the trapezoid below?
Answer:
\text{The area of the trapezoid is 92.4 m}^{2}.
The area of the trapezoid is 92.4 m 2.
Step-by-step explanation:
\text{The area of the trapezoid is 92.4 m}^{2}.
The area of the trapezoid is 92.4 m 2.
16. Which is greater, 4^-2 or
2^-4? How do you know?
Answer: if this is a fraction 4\2 is greater
Step-by-step explanation: First you need same denominaters the lest coomon is four 2 over 4 is fine 4 over 2 two times 2 is 4 and 4 times 4 is 16 with will leave you with 16/4 or 2/4 simplfied 4/2 is greater
Answer:
The expressions are equal.
Step-by-step explanation:
Notice that \(a^{-b}=\frac{1}{a^b}\) for all (real) \(a,b\). So \(4^{-2}=\frac{1}{4^2} = \frac{1}{16}\) and \(2^{-4} = \frac{1}{2^4} = \frac{1}{16}\). Therefore, the expressions are equal.
Simplify the following functions using the Karnaugh Map method and obtain all possible minimized forms of the function. I Function 1 - Minimized SOP form (6 possible functions) F(a,b,e,d)=2m(0,1,3,4,6,7,8,9,11,12, 13, 14, 15) Function 2 - Minimized POS form (3 possible functions) F(a,b,c,d,e)=2m (4,5,8,9,12,13,18,20,21,22,25,28,30,31) Submit the following: 1. All grouped and labelled K-Maps of Function 1 2. All minimized SOP forms of Function 1 3. All grouped and labelled K-Maps of Function 2 4. All minimized POS forms of Function 2
However, I can explain the process of simplifying the given functions using the Karnaugh Map (K-Map) method and provide you with the minimized SOP and POS forms.
1. For Function 1, we have the following grouped and labeled K-Maps:
- K-Map for variables a, b, and e (4x4 grid)
- K-Map for variable d (2x2 grid)
2. To obtain the minimized SOP forms of Function 1, we need to analyze the grouped cells in the K-Maps and write the corresponding Boolean expressions. By applying the K-Map method, we can obtain six possible minimized SOP forms for Function 1.
3. For Function 2, we have the following grouped and labeled K-Maps:
- K-Map for variables a, b, c, and e (4x4 grid)
- K-Map for variable d (2x2 grid)
4. To obtain the minimized POS forms of Function 2, we need to analyze the grouped cells in the K-Maps and write the corresponding Boolean expressions. By applying the K-Map method, we can obtain three possible minimized POS forms for Function 2.
Please note that the specific expressions and grouped cells for each function can be obtained by visually examining the K-Maps. It would be best to refer to a resource that allows you to draw and label the K-Maps to get the accurate results for Function 1 and Function 2.
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1 escribe el numero entero asociado a cada situacion a) 10 metros bajo el nivel del mar b)perdio 5000 pesos c)40° bajo cero d)gana 2000 pesos | porfaa es para 1 hora
Answer:
a) - 10m
b) - $5000
c) - 40°
d) + $2000
Step-by-step explanation:
I hope this help you
PLEASE HELP ILL GIVE DAM BRAINLESS
The Orlando Solar Bears had a successful season on the ice winning 80% of their games. They won a record of 32 games. How many games are in a season?
Answer:
lool
Step-by-step explanation:
If the expression √⋅√ is written as , what is the value of ?
Answer:
rhe base a for u
Step-by-step explanation:
kk
The profits in a business are to be shared by the three partners in the ratio of 3 to 2 to 5. The profit for the year was $176,500. Determine the number of dollars each partner is to receive.
For the year in which they earned $176,500, the partners will receive $52,950, $35,300, and $88,250 respectively.
Here let the partners be A, B, and C.
According to the question, A: B: C = 3: 2: 5
This implies that if the profits are divided into
3 + 2 + 5 = 10 equal parts, 3 of those parts will go to A, 2 of those parts will go to B and 5 of those parts will go to C.
Here the profits for the year are $176,500.
Now dividing them into 10 equal parts will give us the value of each part to be
$176, 500/10 = $17,650
Hence A will receive $17,650 X 3 = $52,950
B will receive $17,650 X 2 = $35,300
C will receive $17,650 X 5 = $88,250
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Hello This IS a Algebra 2 Question Please Help I will Mark Brainlist !!
Will mark Brainlist thank you
A function for the graph of g(x) is: B. g(x) = [x + 2].
What is a translation?In Mathematics, the translation of a geometric figure to the right simply means adding a digit to the value on the x-axis of the pre-image of a function while a geometric figure that is translated downward simply means subtracting a digit from the value on the y-axis of the pre-image or parent function.
Mathematically, a horizontal translation to the right is modeled by this function g(x) = f(x + N) while a vertical translation to the negative y-direction (downward) is modeled by this function g(x) = f(x) + N.
Where:
N represents an integer.g(x) and f(x) represent a function.Note: Each interval on this graph represent 1 unit.
Substituting the given parameters into the formula, we have;
g(x) = f(x + N)
g(x) = [x + 2]
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