The domain of the function f(x)=3x+6 over x +4. 5 is {-3, -1, 2, 4, 5}. What is the function's range?

Answer:

See below

Step-by-step explanation:

Multiply left side of equation by  x/x    ( this is just multiplying by '1')

x^2 / (x^2 +3x)  +  1   =  1 / (x^2 +3x)  

       Now,   subtract underlined portion from both sides

1 = (1-x^2) / (x^2 + 3x)          multiply  by x^2 + 3x

x^2 + 3x = 1 - x^2

2x^2 + 3x -1 = 0       Use Quadratic formula to find x = -3/4 +- sqrt(17)/4

Answer:

2/3 = 0.7

12/5 = 2.4

13/6 = 2.2

19/7 = 2.7

22/5 = 4.4

17/12 = 1.42

Step-by-step explanation:

No estoy segura de si esto es lo que quieres decir, pero espero que ayude :)

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

The value of (16^x)/(2^y) if 4x-y=12 is 4096.

Therefore the answer is 4096.

We are given the equation 4x - y = 12. To find the value of (16^x)/(2^y), we need to find the values of x and y. To do this, we can isolate either x or y and solve for it:

4x - y = 12

y = 4x - 12

We can substitute the expression for y into the expression for (16^x)/(2^y) to find the value:

(16^x)/(2^y) = (16^x)/(2^(4x - 12)) = (16^x)/(2^(4x)) * (2^12)

Note that 2^4 = 16, so (16^x)/(2^4x) = 1, which means that (16^x)/(2^y) =2^12.

Therefore, the value of (16^x)/(2^y) is 4096.

--The question is incomplete, answering to the question below--

"If 4x-y=12, then what is the value of (16^x)/(2^y) "

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Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

If Jose traveled at an average speed of 65 miles per hour for 2.5 hours and then traveled at an average speed of 70 miles per hour for 4.5 hours, the the distance travelled by Jose is 477.5 miles.

Given that Jose traveled at an average speed of 65 miles per hour for 2.5 hours and then traveled at an average speed of 70 miles per hour for 4.5 hours.

We are required to find the distance travelled by Jose.

Speed is basically the distance travelled by anything within a particular period of time.

Distance travelled at an average speed of 65 miles per hour for 2.5 hours=65*2.5=162.5 miles

Distance travelled at an average speed of 70 miles per hour for 4.5 hours=70*4.5=315 miles

Total distance=162.5+315

=477.5

Hence if Jose traveled at an average speed of 65 miles per hour for 2.5 hours and then traveled at an average speed of 70 miles per hour for 4.5 hours, the the distance travelled by Jose is 477.5 miles.

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The expressions that will give you a difference of 5 are: -3 - (-8) and 1 - (-4).

The difference of two expressions is determined by subtracting one from the other.

Find the difference of each of the expressions given to determine which will give us 5.

-3 - (-8)

= -3 + 8

= 5

-2 - 3 = -5 [this is not the same as 5]

1 - (-4)

= 1 + 4

= 5

7 - (-2)

= 7 + 2

= 9

-3 - (-8) and 1 - (-4) will give us a difference of 5.

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Given the algebraic expression,  \(2x^2y\), the error in the analysis shown in the diagram attached is the wrong listing of terms.

The correct analysis is:

Recall:

Given an expression, say, \(2x^2 + 4x + 5\).

Thus, we are given the expression, \(2x^2y\),

The expression has only 1 term: \(2x^2y\)

1 coefficient: 2

It has no constant.

Therefore, given the algebraic expression,  \(2x^2y\), the error in the analysis shown in the diagram attached is the wrong listing of terms.

The correct analysis is:

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The population of Somerville is approximately 35047 after a depreciation of of 3% every year .

Depreciation is economics refers to two different aspects of the same idea: first, the actual decline in an asset's fair value as it is used and worn, such as the annual decline in value of factory equipment; and second, the allocation in accounting statements of the asset's original cost to the periods during which it is used.

Here depreciation is the gradual decline in population each year in the town.

The rate of depreciation or decline is the percentage amount of population that decreases every year.

The formula used to calculate depreciation is given by:

\(A=P(1-r)^t\)

Given the rate of depreciation as 3%.

Population at present = 38400

Population after 3 years:

= 38400 (1 - 0.03 )³

= 38400 ( 0.97 )³

= 35046.6432

≈ 35047

Hence the population after 3 years will be approximately 35047.

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Answer: =35047

Step-by-step explanation:

Answer:

Company a= 15x+10y+25z+75

Company b=20x+10y+30z+60

Step-by-step explanation:

C: Parametric tests are more likely to get significant results compared to nonparametric tests.

Parametric tests are statistical tests that assume certain characteristics about the data, such as normal distribution and homogeneity of variance.

Parametric tests are statistical tests that make certain assumptions about the data, such as the normal distribution of the population. These tests have more statistical power and are more likely to find significant results if these assumptions hold.

Nonparametric tests, on the other hand, do not make any assumptions about the data's distribution and are useful for non-normally distributed data. They have less statistical power and are less likely to find significant results.

However, if the assumptions of parametric tests are not met, they may lead to incorrect conclusions.

Therefore, it is important to choose the appropriate test based on the data and research question.

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The expected value of the continuous random variable V is 5. The expected value of V is 5, indicating that, on average, we expect the value of V to be around 5.

To calculate the expected value of a continuous random variable V with a given probability density function (PDF), we integrate the product of V and the PDF over its entire range.

The PDF of V is defined as:

f(v) = 6/24 = 0.25 for 3 ≤ v ≤ 7, and 0 otherwise.

The expected value of V, denoted as E(V), can be calculated as:

E(V) = ∫v * f(v) dv

To find the expected value, we integrate v * f(v) over the range where the PDF is non-zero, which is 3 to 7.

E(V) = ∫v * (0.25) dv, with the limits of integration from 3 to 7.

E(V) = (0.25) * ∫v dv, with the limits of integration from 3 to 7.

E(V) = (0.25) * [(v^2) / 2] evaluated from 3 to 7.

E(V) = (0.25) * [(7^2 / 2) - (3^2 / 2)].

E(V) = (0.25) * [(49 / 2) - (9 / 2)].

E(V) = (0.25) * (40 / 2).

E(V) = (0.25) * 20.

E(V) = 5.

Therefore, the expected value of the continuous random variable V is 5.

The expected value represents the average value or mean of the random variable V. It is the weighted average of all possible values of V, with each value weighted by its corresponding probability. In this case, the expected value of V is 5, indicating that, on average, we expect the value of V to be around 5.

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X is a connected set but not a path-connected set. X={x,0xe[0,1}U{1/nyneN,ye{0,1]}U{0,1}.

To prove that X is connected, let us assume that X can be divided into two disjoint non-empty open sets A and B. Since X is the union of different points, any point in X will be in either A or B. Let us take an arbitrary point p in A. Since A is open, there is an open ball centered at p that is contained in A. Because B is disjoint from A, it follows that every point in this ball is also in A. By a similar argument, any point in B must have a ball centered at that point that is entirely contained in B. Thus, X must be either in A or B and hence, cannot be divided into two disjoint non-empty open sets. However, X is not path-connected since there is no path between points in [0,1] x {0} and {1} x {1}. Thus, it is connected but not path-connected.

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Answer:

Answer is C

Step-by-step explanation:

i.e (c x c x c x c) / (c x c x c) = c^1 = c

→\( {c}^{4} \div {c}^{3} \)

→\( \dfrac{ {c}^{4} }{ {c}^{3} } \)

→\( {c}^{4 - 3} \)

→\( {c}^{1} \)(c¹ and c is same thing)

________________________________

with regards!

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The measure of CD in triangle is 18.

We are given that;

CE=7, HB=13, HF=3

Now, In triangle GDH

GD=1/2 * BD

=24/2=12

BC= 2* EC

=2* 7= 14

By pythagoras theorem;

EH^2 + EB^2 = BH^2

EH^2 + 49 = 169

EH^2 = 120

EH= rt120

FD= 16

CD= 18

Therefore, by the given triangle answer will be 18.

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Answer:

x < 7/12

Step-by-step explanation:

1/4+x<5/6

Multiply each side by 12 to get rid of the fractions

12*1/4+12x<5/6*12

3 + 12x < 10

Subtract 3 from each side

3+12x-3 < 10-3

12x < 7

Divide by 12

12x/12 < 7/12

x < 7/12

Answer:

A

Step-by-step explanation:

Answer:

mc2 5.8 mc3 6.93

Step-by-step explanation:

If you are paid $8.75 a hour and you work 8 hours, you earn 8.75·8 dollar in one day.

However, you spend $4.00 round trip to get to andfrom work. Then, the net money you earnd in one day is gievn by the following expression:

8.75·8 - 4

Answer:

1

Step-by-step explanation:

Answer:

49

Step-by-step explanation:

(3m + 58) + (8m + 155) = 180

11m + 213 =180

11m = -33

m = -3

PCM = 3m + 58 = -9 + 58 = 49

Answer:

C or A

thats all i know hope it helps

Maria must cut an additional $70 from her expenses each month in order to save enough money to buy a new TV that costs $420 in 6 months. By allocating this additional amount towards her savings goal, she will be able to reach her target within the desired timeframe. It's important for Maria to review her budget and identify areas where she can reduce expenses in order to make room for the additional savings. This could involve cutting back on discretionary spending, finding ways to save on daily expenses, or exploring opportunities to increase her income.

Maria must cut an additional $70 from her expenses each month.

To determine how much additional money Maria must cut from her expenses each month to afford a new TV that costs $420 in 6 months, we divide the total cost by the number of months.

Additional money per month = Total cost / Number of months

Additional money per month = $420 / 6

Additional money per month = $70

With careful planning and commitment to her budget, Maria can achieve her goal of purchasing a new TV without compromising her financial stability.

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The appropriate statistic to analyze the potential relationship between a nominal independent variable and a ratio dependent variable is the ANOVA (Analysis of Variance) test.

ANOVA is a statistical method used to compare means across groups, making it suitable for analyzing the relationship between a categorical variable (nominal independent variable) and a continuous variable (ratio dependent variable).

ANOVA allows us to determine if there are significant differences between group means and identify which groups differ from each other. It is important to note that ANOVA only determines if there is a relationship between the variables, but it does not provide information about the strength or direction of the relationship.

Additional statistical tests may be needed to further explore the relationship between the variables.

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(A). The largest target is Target B since it has the widest radius. (B). The size of Object A is around 44 inches around. (C). Target C has a surface area of around 254 square inches.

The length of a circle and perhaps other circular geometric object is referred to as its circumference. Anything in a double circular shape that is linear in one dimension is the perimeter.

A). We must contrast the radii of the three objects in order to compare their sizes.

Target A consists of a radius of 7 inches and a width of 14 inches.

The radius of Target B is 10 inches.

Target C has a circumference of 18π inches, so we can use the formula C = 2πr to find its radius:

18π = 2πr

r = 9 inches

Target B is the main market since it has the greatest radius.

B). The circumference of a circle is given by the formula C = 2πr, where r is the radius. For Target A, r = 7 inches, so:

C = 2πr

C = 2π(7)

C ≈ 44 inches (using 3.14 to approximate)

Target A's circumference is therefore around 44 inches.

C). The area of a circle is given by the formula A = πr², where r is the radius. For Target C, we know its circumference is 18π inches, so we can use the formula for circumference to find its radius:

C = 2πr

18π = 2πr

r = 9 inches

Target C's area is as follows because of its 9-inch radius:

A = πr²

A = π(9)²

A ≈ 254 square inches (using 3.14 to approximate)

Target C therefore has a surface area of around 254 square inches.

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Answer:

0.632 ; 0.233

Step-by-step explanation:

Given that :

Conversation average λ = 1/5 = 0.2

Using the poisson distribution function :

P(x) = 1 - e^(-λ/x)

p(< 5) = 1 - e^-(1/5 * 5)

P(<5) = 1 - e^-1

P(< 5) = 1 - 0.3678794

= 0.6321205

= 0.632

B.) between 5 and 10 minutes

5 < x < 10

P(x< 5) - p(x< 10)

P(< 5) = 1 - 0.3678794 = 0.6321205

P(< 10) = 1 - (e^-1/5 * 10)

P(< 10) = 1 - e^-2 = 1 - 0.1353352 = 0.8646648

P(< 10) - P(<5)

0.8646648 - 0.6321205

=0.2325443

= 0.233

Answer:

20

Step-by-step explanation:

y = 35x + c

Put x as 1, and y as 55.

55 = 35(1) + c

55 - 35 = c

20 = c

We conclude  the hypothesis test as Alternative Hypothesis if the data would be very unusual if the original assumption about our parameter were correct.

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Answer:

The answer is 51.36 so just add 48 plus 7%

Step-by-step explanation:

Answer

51.36

Step-by-step explanation: