What is the range of the function f(x) = 12 − 3x for the domain {-4, -2, 0, 2, 4}?

Answer: I think 2.74 dollars but I could be wrong

Answer:

Graphing the points we have;

Above is the graph of the given equation showing the derived points.

Explanation:

Given the equation;

To plot the graph we need to calculate the corresponding values of x and y at each point.

Let us calculate the values of y for x = -4,-2,0,2, and 4;

Therefore, Graphing the points we have;

Above is the graph of the given equation showing the derived points.

Answer:

\(f(x)=\frac{4^{x} }{2}-1\)

Step-by-step explanation:

\(f(x)=\frac{1}{2}(4)^{x} -1\)

Combine \(\frac{1}{2}\) and \(4^{x}\)

\(f(x)=\frac{4^{x} }{2}-1\)

the last one seems to be the best

Answer:

D

Step-by-step explanation:

The amount of fewer euros he would receive as a result of the delay is 20 E.

The percentage loss that was caused by the delay is -4%.

Exchange rate is the rate at which one unit of a currency can buy another currency. In this question, the value of Euros appreciated by Monday. This is because $1 buys less Euros on Mondays. On the hand, dollars depreciates in value.

Amount of fewer Euros received = value of euros if it were exchanged on Friday - value of euros if it was exchanged on Monday

Value of euros if it were exchanged on Friday = 1.25 x 400 = 500 E

Value of euros if it was exchanged on Monday = 1.20 x 400 = 480 E

Difference = 500 E - 480 E = 20 E

Percentage loss = (Euros received on Monday / Euros that would have been received on Friday) - 1

Percentage loss = (480 / 500) - 1 = -0.04 = -4%

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Answer:

4, -4, 36

Step-by-step explanation:

a) a*2 = -2*-2 = 4

b) a^2 = -2^2 = -4

c) a*3^2= 3*-2^2 = -36

The answer would be B.

The distance between Basti and Cian is approximately 138.2 ft. Option D

To find the distance between Basti and Cian, we can use the Law of Sines, which relates the lengths of sides to the sines of their opposite angles in a triangle.

Let's label the points: A, B, and C. Ali is at point A, Basti is at point B, and Cian is at point C.

Given:

Angle ABC = 50 degrees (angle opposite side AC)

Angle BAC = 60 degrees (angle opposite side BC)

Ali is 150 ft away from Basti (side AB)

We want to find the distance between Basti and Cian, which is side BC.

Using the Law of Sines, we have:

BC/sin(50) = AB/sin(60)

Substituting the known values:

BC/sin(50) = 150/sin(60)

To find BC, we can rearrange the equation:

BC = (150/sin(60)) * sin(50)

Using a calculator to evaluate the expression:

BC ≈ 138.2 ft

Option D is correct.

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This question is incomplete, the complete question is;

A fair coin is tossed three times and the events AA, BB, and CC are defined as follows: A:{A:{ At least one head is observed }} B:{B:{ At least two heads are observed }} C:{C:{ The number of heads observed is odd }} Find the following probabilities by summing the probabilities of the appropriate sample points (note that 0 is an even number): a) P(B) =, b) P(A or B) =

Answer:

a) probability of B is 0.5

b) probability of (A or B)  is 0.875

Step-by-step explanation:

Given the data in the question;

The coin is tossed 3 times.

so let S represent the sample space with the probabilities;

S = [ HHH, HHT, HTH, THH, HTT, THT, TTH, TTT ]

so n(S) = 8

now let A be the set where at least one head is observed;

A = [ HHH, HHT, HTH, THH, HTT, THT, TTH, ]

n( A) = 7

let B be the set where at least two head is observed;

B = [ HHH, HHT, HTH, THH, ]

n(B) = 4

let C be the set where number of heads are odd;

C = [ HHH, HTT, THT, TTH ]

n(C) = 4

so

a) P(B) = ?

probability of B will be;

P(B) = n(B) / n(S)

we substitute

P(B) = 4 / 8 = 0.5

Therefore, probability of B is 0.5

b) P(A or B) = ?

the favorable number of cases to event A∪B is

A∪B = [ HHH, HHT, HTH, THH, HTT, THT, TTH, ]∪[ HHH, HHT, HTH, THH, ]  

A∪B = [ HHH, HHT, HTH, THH, HTT, THT, TTH, ]

n(A∪B) = 7

Now the probability of A or B will be

P( A∪B ) = n(A∪B) / n(S) = 7/8 = 0.875

Therefore, probability of (A or B)  is 0.875

We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot.

A statistical test is required to determine whether the length of the left foot is greater than the length of the right foot. The null hypothesis states that there is no difference in average length between the left and right feet. The alternative hypothesis is that the left foot's average length is greater than the right foot's average length.

This hypothesis is one-tailed, as we are only interested in whether the left foot is longer than the right foot. We are not considering the possibility that the right foot could be longer than the left foot.

A t-test can be used to determine whether the difference in average length between the left and right feet is statistically significant. We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot if the p-value of the t-test is less than the chosen significance level (e.g., 0.05).

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Given:

The length of the ladder, l=9 m.

The angle of elevation of the ladder, θ=60°.

Let h be the height at which the ladder touches the wall with respect to the ground.

Now, using trigonometeric property in the above triangle,

Substitute the values and solve the equation for h.

Therefore, the ladder touches the wall at a height of 7.8 m.

Answer:

576 cm2

Step-by-step explanation:

Answer:

x=5,z=4.5

Step-by-step explanation:

Given the angles are right angle i.e. 90°

90-9x = 90 - 10z

9x = 10z =45°(because diagonals bisects angles)

x=45/9

=5

z=45/10

=4.5

Answer:

256

Step-by-step explanation:

Multiply 16 by 16.

You bet 256, right?

The answer is 256 now.

Hope it helps!

Formula: multiply number you have x number you have.

No, the relationship on the table is not proportional

From the question, we have the following parameters that can be used in our computation:

x   y

____ ____

6 -2

7 -1

8 0

9  1

On the table of values, we can see that:

Using the above as a guide, we have the following:

The relationship is not a proportional relationship

This is so because it does not have a constant rate (addition of 1 to x and y does not represent proportional relationship)

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chan eil agad ach sgrùdadh a dhèanamh air google!

5x-50 = 30-15x, 20x = 80, x = 4,

x=4!

Answer:

x=4

Step-by-step explanation:

5x-50 = 30-15x, 20x = 80, x = 4,

x=4

hope this helps

The maximum area is 12.25 square feet

From the question, we have the following parameters that can be used in our computation:

Perimeter = 14 feet

This means that

P = 2(l + w)

So, we have

2(l + w) = 14

Divide by 2

l + w = 7

Make l the subject

l = 7 - w

The area is calculated as

A = lw

So, we have

A = (7 - w)w

Expand

A = 7w - w²

Differentiate and set to 0

7 - 2w = 0

So, we have

w = 3.5

Substitute w = 3.5 in A = (7 - w)w

A = (7 - 3.5) * 3.5

Evaluate

A = 12.25

Hence, the area is 12.25 square feet

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Complete question

There is 14 feet of fencing available to enclose a rectangular region. For what value of area is the area maximum

The lowest common denominator of 3/8 and 3/5 is 40.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

3/8 and 3/5

LCD means the lowest common denominator.

So,

8 x 5 = 40

5 x 8 = 40

Thus,

The lowest common denominator of 3/8 and 3/5 is 40.

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Answer:

Step-by-step explanation:

Hello!

4^16

note that 16 = 4²

thus (16)^8 = (4²)^8 = 4^(2 × 8) = 4^16.

Answer:

\(|\frac{x}{y} |\)

Step-by-step explanation:

We are given the following expression: \(\sqrt\frac{x^3y^5}{xy^7}\), where x > 0 and y > 0.

We want to simplify it.

To do that, we can first simplify what is under the radical, then take the square root of what is left.

Recall that when simplifying exponents, we don't want any negative or non-integer radicals left.

To simplify what is under the radical, we can remember the rule where \(\frac{a^n}{a^m} = a^{n-m}\).

So, that means that \(\frac{x^3}{x} = x^2\) and \(\frac{y^5}{y^7} = y^{-2}\) .

Under the radical, we now have:

\(\sqrt{x^2y^{-2}}\)

Now, we take the square root of both exponents to get:

\(|xy^{-1}|\)

The reason why we need the absolute value signs is because we know that x > 0 and y > 0, but when we take the square root of of \(x^2\) and \(y^{-2}\) , the values of x and y can be either positive or negative, so by taking the absolute value, we ensure that the value is positive.

However, we aren't done yet; remember that we don't want any radicals to be negative, and the integer of y is negative.

Recall that if \(a^{-n}\), that is equal to \(\frac{1}{a^n}\).

So, by using that,

\(|x * \frac{1}{y} |\)

This can be simplified to:

\(|\frac{x}{y} |\)

Answer:

\(y' = (6,4)\)

Step-by-step explanation:

Given

\(y = (3,2)\)

\(x = (4,0)\)

\(z = (2,-2)\)

\(D_{(O,2)}\)

Required

The image of y

\(D_{(O,2)}\) implies that y is dilated by a scale factor of 2 across the origin.

So, the image of y is:

\(y' = 2 * y\)

\(y' = 2 * (3,2)\)

\(y' = (6,4)\)

Solution

What is the measure of the circle:

radius of the circle = 8

measure of the minor arc = 40

Using the Area of the pink sector formula:

Area of the grey sector:

Area of the circle:

Answer:

3(x + 5y) - 2(x + y)

3x + 15y - 2x - 2y

x + 13y

(3x + 15y) + (-2x + -2y)

x + 13y

Answer: WHAT?!?! what does that mean >3

Answer:

You're so pointless

Step-by-step explanation:

\(\\ \sf\longmapsto 4+9(2)+3-1\)

tex]\\ \sf\longmapsto 13(2)+2\)

tex]\\ \sf\longmapsto 26+2\)

tex]\\ \sf\longmapsto 28\)

Answer:

-107

Step-by-step explanation:

x4-5^3+ 3^2-2x + 7

2x−109/x−1

1   2   −109

    2

second step

1   2                    -109

                    1 * 2 = 2

    2 (-109) + 2 = -107

Coefficients are 2, and -107

Therefore the quotient is 2 and the remainder is -107

The requried ball reached a maximum height of approximately 62 feet

Let the ball is thrown vertically upward, we can use the following formula to find the maximum height it reaches:

\(h(t) = -16t^2 + vt + h_0\)

here, h(t) is the height of the ball at time t, v is the initial velocity of the ball (in feet per second), and h0 is the initial height of the ball (in feet). We can also use the fact that the ball remains in the air for 3.8 seconds, which means that the time it takes to reach the maximum height is half of that or 1.9 seconds.

At the highest point, the ball's velocity is zero, so we can find the initial velocity by setting v = 0 in the above formula and solving for h₀:

h₀ = h(t) + 16t²

   = 4 + 16(1.9)²

   ≈ 4 + 57.76

   ≈ 61.76

Therefore, the ball reached a maximum height of approximately 62 feet

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The sequence of transformations that proves that the shapes are similar is given as follows:

B. a reflection across the x-axis, and then a dilation by a scale factor of 1.5

First, we have that the orientation of the figure, hence it was reflected.

The figure was reflected from the second quadrant to the third quadrant, hence the figure was reflected over the x-axis.

The base segment changes from a length of 2 units to a 3 units, hence the scale factor of the dilation is given as follows:

3/2 = 1.5.

Hence option B is the correct option for this problem.

The missing parts of the problem are given by the image presented at the end of the answer.

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