What is (f + g)(x)?
f(x) = -3x²
g(x) = 4x + 3
Answers
Answer:
(f+g)(x)=-3x^2+4x+3
Step-by-step explanation:
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Related Questions
The population in Mittsville since 2000 is modeled by the function, P(x) = 20000 x 0.93x where x refers to the number of years since 2000. Complete the following sentence.
The population has been ( ) every year.
A= increasing
B= Decreasing
Answers
Given: DA≈ WG and WA≈DG. Prove that DAW≈ WGD.
Answers
Answer:
Step-by-step explanation:
Statements Reasons
DA ≅ WG Given
WA ≅ DG Given
DW ≅ WD Reflexive property
ΔDAW ≅ ΔWGD SSS
7.71 divided by 10 I don’t get how to do this
Answers
Answer: 0.771 you are welcome
Snow fell at a rate of
of an inch/hour. How much
snow fell in a period of 6
hours?
Answers
Answer:
Step-by-step explanation:
that implies a simple multiplication:
snow = (3/4)(6) = 4.5 inch
and note the units elimination in the operation as well:
= [inch/hour][hour] = inch
My fault if im wrong :(
Identify the null and alternative hypothesis in the following scenario.
To determine if battery 1 lasts longer than battery 2, the mean lasting times, of the two competing batteries are compared. Twenty batteries of each type are randomly sampled and tested. Both populations have normal distributions with unknown standard deviations.
a. H0:μ1≥μ2; Ha:μ1<μ2
b. H0:μ1≤−μ2; Ha:μ1>−μ2
c. H0:μ1≥−μ2; Ha:μ1<−μ2
d. H0:μ1=μ2; Ha:μ1≠μ2
e. H0:μ1≤μ2; Ha:μ1>μ2
Answers
Answer:
H0 : u1 = u2 ; H1 : u1 ≠ u2 , or specifically u1 > u2
Step-by-step explanation:
Null Hypothesis is the neutral hypothesis , stating no difference from assumed value, (or in this case no difference between both batteries' mean life)
Alternate Hypothesis is the special case hypothesis, stating difference from assumed value , (or in this case states difference between both batteries' mean life)
Let mean life of battery 1 & battery be b = u1 & u2 , respectively.
Null Hypothesis [ H0 ] : u1 = u2
Alternate Hypothesis [ H1 ] : u1 ≠ u2 , or specifically u1 > u2 { To determine if battery 1 lasts longer than battery 2 }
The following table shows the number of hours 45 hospital patients...
The following table shows the number of hours 45 hospital patients slept following the administration of a certain anesthetic.
show all information at jpg
Answers
The following table shows the number of hours 45 hospital patients slept for one night. Use the table to answer the questions:Hours of Sleep | Patients0-2 | 53-5 | 96-8 | 179-11 | 2212-14 | 10a) How many patients slept between 6 and 11 hours?A total of 22 patients slept between 6 and 11 hours.
To find out, we need to add the number of patients who slept for 6-8 hours (17) and those who slept for 9-11 hours (5). Therefore, 17+5=22.b)
The mode is the value that occurs most frequently in the data set. In this case, the mode is the number of hours that the highest number of patients slept.
From the table, we can see that 9-11 hours is the mode because 22 patients slept for that number of hours, which is more than any other number of hours.c)
The median is the middle value in the data set when the data are arranged in numerical order. In this case, we have 45 patients, so we need to find the middle value between the 22nd and 23rd patients. These patients slept for 9-11 hours, so the median is 9-11 hours.
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The function g is related to one of the parent functions
g(x) = 2 √x
a.) Identify the parent function f.
b.) Use function notation to write g in terms of f.
Answers
If the function f(x) is shifted right upward by 2 units, then the function f(x) will be equal to the function g(x). Then the parent function is f(x) = √x .
What is an absolute function?The value of the absolute function is always positive.
The absolute function is given as
f(x) = a√x
The function g is related to one of the parent functions g(x) = 2 √x
Then the parent function f(x);
f(x) = √x
If the function f(x) is shifted right upward by 2 units, then the function f(x) will be equal to the function g(x).
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A cylinder has a height of 20 cm and a diameter of
6 cm. What is the volume, in cubic centimeters, of the
cylinder? Use 3.14 for T.
Answers
What steps are used to solve the equation?
146 + f = 225
Complete the statements.
First,
both sides of the equation.
Next, simplify the equation to get the solution .
.
Check the solution by substituting
for f and simplifying.
Answers
Answer:
f = 79
Step-by-step explanation:
1) move 146 to the other side so f = 225 - 146
2) solve and get f = 79
3) check answer by substituting 79 into 146 + f = 225
4) 146 + 79 = 225
Answer:
first subtract 146 to both sides of the equation next simplify the equation to get the solution
Step-by-step explanation:
The graph of the function f is shown, f(5)=
Answers
Answer: -1 and 5
Step-by-step explanation:
You see you know in f(x) that become f(5) that means x=5 so in the graph you have to find the line of the x ( it is written) and then just see where the the curve is “ cutting” the graduation 5 of the line of the x . Sorry if you don’t understand, have an amazing rest of you day :)
The first number in a pattern is 138, and the rule is to add 15. What is the next number in the pattern?
Answers
the bookstore sold 8 books for 66$ at that rate how much would one book be.
Answers
The Yates family’s cell phone bill is $175 a month. How much will they pay for a year (12 months)?
Answers
Answer:
The Yates phone bill will be $2100 for a year.
Step-by-step explanation:
175x12=2100
Answer:
2100
Step-by-step explanation:
but i think i be broke after that
. Suppose a government agency has a monopoly in the provision of internet connections.
The marginal cost of providing internet connections is 1
2
, whereas the inverse demand
function is given by: p = 1
Answers
The government agency as a monopolist will produce and sell internet connections up to the point where the marginal cost is 1/2. The price will be set at 1, given the perfectly elastic demand function.
In the scenario where a government agency has a monopoly in the provision of internet connections and the inverse demand function is given by p = 1, we can analyze the market equilibrium and the implications for pricing and quantity.
The inverse demand function, p = 1, implies that the market demand for internet connections is perfectly elastic, meaning consumers are willing to purchase any quantity of internet connections at a price of 1. As a monopolist, the government agency has control over the supply of internet connections and can set the price to maximize its profits.
To determine the optimal pricing and quantity, the monopolist needs to consider the marginal cost of providing internet connections. In this case, the marginal cost is given as 1/2. The monopolist will aim to maximize its profits by equating marginal cost with marginal revenue.
Since the inverse demand function is p = 1, the revenue received by the monopolist for each unit sold is also 1. Therefore, the marginal revenue is also 1. The monopolist will produce up to the point where marginal cost equals marginal revenue, which in this case is 1/2.
As a result, the monopolist will produce and sell internet connections up to the quantity where the marginal cost is 1/2. The monopolist will set the price at 1 since consumers are willing to pay that price.
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2+1+4+8+9 i need help pleace
Answers
Answer:
Step-by-step explanation:
24
help with math plsssssssss
Answers
Pls help with this question pictured below.
Answers
The implicit derivative is given as follows:
dx/dt(x = 4) = 1/12.
How to obtain the implicit derivative?The function in this problem is given as follows:
y = 3x² + 1.
The implicit derivative, relative to the variable t, is given as follows:
dy/dt = 6x dx/dt.
(the derivative of the constant 1 is of zero).
The parameters for this problem are given as follows:
x = 4, dy/dt = 2.
Hence the derivative is obtained as follows:
2 = 6(4) dx/dt
dx/dt = 2/24
dx/dt = 1/12.
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Can someone help please
ASAP
Answers
Answer:
see explanation
Step-by-step explanation:
using the tangent ratio in the right triangle
tan A = \(\frac{opposite}{adjacent}\) = \(\frac{BC}{AB}\) = \(\frac{5}{11}\) , then
∠ A = \(tan^{-1}\) ( \(\frac{5}{11}\) ) ≈ 24.4° ( to 1 decimal place )
tan C = \(\frac{opposite}{adjacent}\) = \(\frac{AB}{BC}\) = \(\frac{11}{5}\) , then
∠ C = \(tan^{-1}\) ( \(\frac{11}{5}\) ) ≈ 65.6° ( to 1 decimal place )
using Pythagoras' identity in the right triangle
the square on the hypotenuse is equal to the sum of the squares on the other two sides, that is
AC² = AB² + BC² = 11² + 5² = 121 + 25 = 146 ( take square root of both sides )
AC = \(\sqrt{146}\) ≈ 12.08 ( to 2 decimal places )
how many fourths in 1/4
Answers
Answer:
1
Step-by-step explanation:
a fourth is 1/4 meaning Fourth = 1/4
adult tickets at a football game cost $6 and student tickets cost $2. A total of $1776 was collected on 372 tickets. How many adult tickets were sold?
Answers
Answer:
s = the number of student tickets sold a = the number of adult tickets sold The drama class sold 25 more student tickets than adult tickets to the fall play s = a + 25 The class collected $660 from ticket sales: 6s + 3a = 660 divide both sides by 3 2s + a = 220 by solving the system of equations s = a + 25 2s + a = 220 we find s = 81.67 student tickets a = 56.67 adult tickets
Step-by-step explanation:
hope this helps
15. In a class of 10 boys and 12 girls, four students are to be chosen to serve on a committee. What is the probability that: a. All 4 members of the committee will be girls? b. All 4 members of the committee will be boys? C. There will be at least one girl on the committee? 1
Answers
A)
We will solve using:
\(_{22}C_4=\frac{22\cdot21\cdot20\cdot19}{4\cdot3\cdot2}=7315\)The number of ways to choose 4 girls from 12 girls and 0 boys from 10 boys is:
\(_{10}C_0\cdot_{12}C_4=1\cdot\frac{12!}{8!\cdot4!}=\frac{12\cdot11\cdot10\cdot9}{4\cdot3\cdot2}=495\)So, the probability() of choosing 4 just 4 girls is:
\(P=\frac{_{10}C_0\cdot_{12}C_4}{_{22}C_4}\Rightarrow P=\frac{495}{7315}\Rightarrow P=\frac{9}{133}\Rightarrow P\approx0.068\)So, that is the probability to get just 4 girls on the committee.
B)
For the committee to be just 4 boys is found as follows:
\(_{22}C_4=\frac{22\cdot21\cdot20\cdot19}{4\cdot3\cdot2}=7315\)And the number of ways to choose 4 boys from 10 boys and 0 girls from 12 girls is:
\(_{10}C_4\cdot_{12}C_0=\frac{10\cdot9\cdot8\cdot7}{4\cdot3\cdot2}=210\)So, the probability to get just 4 boys on the committee is:
\(P=\frac{_{10}C_4\cdot_{12}C_0}{_{22}C_4}\Rightarrow P=\frac{210}{7315}\Rightarrow P=\frac{6}{209}\Rightarrow P\approx0.028\)C)
For the committee to have at least one girl is:
\(_{22}C_4=\frac{22\cdot21\cdot20\cdot19}{4\cdot3\cdot2}=7315\)No. of ways to selecting at least 1 girl:
22C4 - 10C4 = 7315 - 210 = 7105
Now, we calculate the probability:
\(P=\frac{7105}{7315}\Rightarrow P=\frac{203}{209}\Rightarrow P\approx0.971\)n the decimal number 32.5, what is the place value of the 5?
Answers
You measure a line on your paper to be 0.224m. What is the greatest possible error of measurement?
a.
0.001 m
c.
0.0005 m
b.
0.0001 m
d.
0.005 m
Answers
The greatest possible error of the given measurement is: 0.0005 m
How to find error of measurement?The greatest possible error is half of the unit of measure to which a measurement is rounded. If a measurement is made to the nearest whole unit (1), the greatest possible error is 0.5 units.
The steps to determine the greatest possible error are:
Step1: Identify the last nonzero digit to the right of the decimal point in the given measurement.
Step 2: Determine the precision. ...
Step 3: Divide the precision by 2 to determine the greatest possible error.
Thus, it will be the hundredths place for 0.224 m and in this case it is:
0.001/2 = 0.0005 m
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g(t) = 2.0.4 for t = -2
Answers
Answer:
6
Step-by-step explanation:
6
1.
On Friday, many of the students were missing in her class 1/8 of
the class went to a basketball tournament and 1/8 of the class
called in sick. What fraction of the class was in school?
Answers
Answer: 3/4
Step-by-step explanation
1/8 + 1/8 = 2/8
8/8 - 2/8 = 6/8
6/8 simplified is 3/4
Simplify the expression by removing symbols of grouping and combining like terms.
7(2s − 1) + s + 5
Answers
Answer:
=15s−2
Step-by-step explanation:
sorry if its not correct i tried
Find Power Set B = {a, b, c, d, e, f, g}
Answers
Answer:
The power set of a set B = {a, b, c, d, e, f, g} is the set of all possible subsets of B.
In mathematical notation, the power set of B is represented as P(B).
The number of elements in the power set of B is 2^n, where n is the number of elements in B. In this case, n = 7, so the number of elements in P(B) = 2^7 = 128.
The power set of B is:
{{}, {a}, {b}, {c}, {d}, {e}, {f}, {g}, {a, b}, {a, c}, {a, d}, {a, e}, {a, f}, {a, g}, {b, c}, {b, d}, {b, e}, {b, f}, {b, g}, {c, d}, {c, e}, {c, f}, {c, g}, {d, e}, {d, f}, {d, g}, {e, f}, {e, g}, {f, g}, {a, b, c}, {a, b, d}, {a, b, e}, {a, b, f}, {a, b, g}, {a, c, d}, {a, c, e}, {a, c, f}, {a, c, g}, {a, d, e}, {a, d, f}, {a, d, g}, {a, e, f}, {a, e, g}, {a, f, g}, {b, c, d}, {b, c, e}, {b, c, f}, {b, c, g}, {b, d, e}, {b, d, f}, {b, d, g}, {b, e, f}, {b, e, g}, {c, d, e}, {c, d, f}, {c, d, g}, {c, e, f}, {c, e, g}, {d, e, f}, {d, e, g}, {e, f, g}, {a, b, c, d}, {a, b, c, e}, {a, b, c, f}, {a, b, c, g}, {a, b, d, e}, {a, b, d, f}, {a, b, d, g}, {a, b, e, f}, {a, b, e, g}, {a, c, d, e}, {a, c, d, f}, {a, c, d, g}, {a, c, e, f}, {a, c, e, g}, {a, d, e, f}, {a, d, e, g}, {b, c, d, e}, {b, c, d, f}, {b, c, d, g}, {b, c, e, f}, {b, c, e, g}, {b, d, e, f}, {b, d, e, g}, {c, d, e, f}, {c, d, e, g}, {a, b, c, d, e}, {a, b, c, d, f}, {a, b, c, d, g}, {a, b, c, e, f}, {a, b, c, e, g}, {a, b, d, e, f}, {a, b, d, e, g}, {a, c, d, e, f}, {a, c, d, e, g}, {b, c, d, e, f}, {b, c, d, e, g}, {a, b, c, d, e, f}, {a, b, c, d, e, g},{a, b, c, d, f, g},{a, b, c, e, f, g},{a, b, d, e, f, g},{a, c, d, e, f, g},{b, c, d, e, f, g},{a, b, c, d, e, f, g}}
En la final de un concurso escolar de
matemática participan 6 alumnos de los
cuales 3 son alumnos del colegio A. Si se
premia a los dos primeros con regalos
diferentes, entonces la probabilidad de que
los alumnos del colegio A obtengan los dos
premios (no hay empates), es:
Answers
Usando la distribución hipergeométrica, la probabilidad de que los alumnos del colegio A obtengan los dos premios (no hay empates), es: 0.2 = 20%.
¿Qué es la fórmula de distribución hipergeométrica?La fórmula es:
\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
Los parámetros son:
x es el número de éxitos.N es el tamaño de la población.n es el tamaño de la muestra.k es el número total de resultados deseados.Los valores de los parámetros son:
N = 6, k = 3, n = 2.
La probabilidad de que los alumnos del colegio A obtengan los dos premios (no hay empates), es P(X = 2), por eso:
\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)
\(P(X = 2) = h(2,6,2,3) = \frac{C_{3,2}C_{3,0}}{C_{6,2}} = 0.2\)
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During a week in January in Jefferson City, MO, the daily high temperatures were -2 F, 12 F, 5 F, -4 F, 20 F, 16 F, and -12 F. Which expression can be used to find the difference between the highest temperature and the lowest temperature of the week?
Answers
The expression will be 20°F - (-12°F)
From the information given, the highest and lowest temperature are represented below:
Highest temperature = 20°F
Lowest temperature = -12°F
Therefore, the difference between the highest and the lowest temperature will be:
= Highest temperature - Lowest temperature
= 20°F - (-12°F)
= 20°F + 12°F
= 32°F
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Question 4 of 10
What is i86
O A. -1
B. 1
O c. i
O D. 1
Answers
Answer:
option c-i is the answer