What is (f + g)(x)?
f(x) = -3x²
g(x) = 4x + 3

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

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 .

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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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 :(

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:

Answer:

1

Step-by-step explanation:

a fourth is 1/4 meaning Fourth = 1/4

Answer:

Step-by-step explanation:

Statements                                 Reasons

DA  ≅ WG                                   Given

WA ≅ DG                                    Given

DW ≅ WD                                  Reflexive property

ΔDAW ≅ ΔWGD                        SSS

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 greatest possible error of the given measurement is: 0.0005 m

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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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

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 )

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 :)

Answer:

Step-by-step explanation:

24

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

A)

We will solve using:

The number of ways to choose 4 girls from 12 girls and 0 boys from 10 boys is:

So, the probability() of choosing 4 just 4 girls is:

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:

And the number of ways to choose 4 boys from 10 boys and 0 girls from 12 girls is:

So, the probability to get just 4 boys on the committee is:

C)

For the committee to have at least one girl is:

No. of ways to selecting at least 1 girl:

22C4 - 10C4 = 7315 - 210 = 7105

Now, we calculate the probability:

Answer:

6

Step-by-step explanation:

6

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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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}​}

The implicit derivative is given as follows:

dx/dt(x = 4)  = 1/12.

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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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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Answer: 0.771 you are welcome

Answer:

=15s−2

Step-by-step explanation:

sorry if its not correct i tried

Usando la distribución hipergeométrica,  la probabilidad de que los alumnos del colegio A obtengan los dos premios (no hay empates), es: 0.2 = 20%.

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:

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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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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Answer:

option c-i is the answer