Which single transformation can be applied to the graph of y = 72 StartRoot x EndRoot to produce the graph of y = 9 StartRoot x EndRoot?
- vertical translation
- vertical compression
- horizontal translation
- horizontal compression

Answer:

53*_4_ hopes that you are not feeling

Answer:

The new points to the triangle will be:
\(A(1,4)\\ B(1,1)\\ C(-1,1)\)

Step-by-step explanation:

Because the reflection point is at \(x=2\), all x values will subtract their distances from \(x=2\) to get their new values. The y values remain the same.

The starting values are:

\(A(3,4)\\ B(3,1)\\ C(5 ,1)\)

Point \(A\) is 1 unit away from \(x=2\), so we'll subtract 1 from 2 to get the new x value: \(2 - 1 = 1\), so \(A(1,4)\).

 

Point \(B\) is also 1 unit away from \(x=2\), so we'll subtract 1 from 2 to get the new x value: \(2 - 1 = 1\), so \(B(1,1)\).

Point \(C\) is 3 units away from \(x=2\), so we'll subtract 3 from 2 to get the new x value: \(2 - 3 = -1\), so \(C(-1,1)\).

The change in the value of a stock which is represented by the rational number -5.90 means that the stock decreased by 5.90 units.

Whenever we use negative value to describe change, it means that the value of that particular entity that been decreased by that number.

On the contrary, If we are using positive value to describe change, it means that the value of that particular entity that been increased by that number.

For example:- The change in total money possessed by Daniel is $ 50 means there is an increase of $ 50 in the money with Daniel.

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Answer:

Account A

Step-by-step explanation:

Account A will double the money in:

72/2.5=28.8

28.8 x 6=172.8 months=`14.4 years

Account B will double the money in:

100/5=20 years

Answer:

The answer is D. 380!!!!!

An equation can be written to determine the number of students that went on this trip is: C. \(\frac{1259}{s} + 12=\frac{1259}{s+9}\)

In order to write an equation to determine the number of students that went on this trip, we would have to assign a variable and an expression to the number of students who went on the trip and the original number of students who had planned to go on the trip as follows;

Since a total of $1259 was collected from all of the students with 9 students dropping out and their portion of the money collected given back to them while the students that are all still going must contribute an additional $12, an equation to determine the number of students that went on this trip is given by;

\(\frac{1259}{s} + 12=\frac{1259}{s+9}\)

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Complete Question:

A high school class is planning a field trip to an art museum in their city. The class collected a total of $1259 from all of the students, which will go towards renting a bus, museum admission, and lunch.

However, a week before the trip 9 students had to drop out and their portion of the collected money had to be given back to them. Due to this, the students that are all still going must contribute an additional $12 each to cover all of the cost.

Now let s be the number of students who went on the trip and s + 9 be the original number of students who had planned to go on the trip

What equation can be written to determine the number of students that went on this trip?

Answer:it might be A

Answer:

Step-by-step explanation:

Let the exponential function given in the picture is,

f(x) = a(b)ˣ

Here, a = Initial value

b = Base value

x = Exponent

Since, the graph passes through the points (0, 1) and (1, 3)

For (0, 1),

1 = a(b)⁰

a = 1

For (1, 3),

3 = 1(b)¹

b = 3

Therefore, equation of the given function will be,

f(x) = (3)ˣ

Therefore, Initial value = 1

Base = 3

Asymptote (Horizontal) → y = 0

Vertical asymptote → None

Domain → (-∞, ∞) Or {x | x ∈ R}

Range → (0, ∞) Or {y | y > 0}

Therefore, answers given by Juan are incorrect.

Answer:

march

Step-by-step explanation:

the negatives are all lower then 0, hope this helps

Answer:

It's march.

Step-by-step explanation:

Answer:

D. 36 ft²

Step-by-step explanation:

area = 9×4 = 36 ft²

---

The probability that the next person will purchase one or more costumes can be found by dividing the number of visitors who purchased one or more costumes by the total number of visitors.

The total number of visitors is 105 + 41 + 8 = 154.

The number of visitors who purchased one or more costumes is 41 + 8 = 49.

So the probability that the next person will purchase one or more costumes is 49/154, which is approximately 0.32 to the nearest hundredth.

Answer:

Step-by-step explanation:

\(( - 2) + ( 3 - 7)\)

\( - 2 + (3 - 7)\)

\( - 2 + - 4\)

\( - 2 - 4\)

\(\boxed{\green{ = - 6}}\)

◇◇•◇◇

\(( - 1) \times ( - 2)\)

\(1 \times 2\)

\( \boxed{\green{= 2}}\)

Answer:

To locate the number 8 and its opposite on the number line, we can use the given number line:

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

Number 8 is located to the right of zero. Its opposite can be found by moving an equal distance to the left of zero. Since the number line is symmetric about zero, the opposite of 8 would be -8.

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

↑ ↑

So, the opposite of 8 is -8. They are related to zero as equal distances on opposite sides of zero on the number line.

Now, let's address exercises 2-3:

a. To locate the opposite of 9, we need to move an equal distance to the left of zero. The opposite of 9 is -9.

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

↑

b. To locate the opposite of -2, we need to move an equal distance to the right of zero. The opposite of -2 is 2.

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

↑

c. To locate the opposite of 4, we need to move an equal distance to the left of zero. The opposite of 4 is -4.

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

↑

So, the opposites of the given numbers are:

9 → -9

-2 → 2

4 → -4

They are related to zero as equal distances on opposite sides of zero on the number line.

Step-by-step explanation:

Rays: BD, AC, CA, AB. Lines:  AC

A line is a straight path of points that has no beginning or end

A ray is a portion of a line which has one endpoint and extends forever in one direction

Let's put the definitions:

Note: the arrow is an indication no endpoint

So we have ray BD (it starts from the dot at B and the arrow shows it extends forever  in the direction of D)

We have ray AC (it starts from the dot at A and the arrow shows it extends forever  in the direction of C)

We also have ray CA (it starts from the dot at C and the arrow shows it extends forever  in the direction of A)

Then ray AB (it starts from the dot at A and the arrow shows it extends forever  in the direction of B)

Then  line AC (it's bounded by 2 arrows, so it has no endpoint)

Therefore, the rays are BD, AC, CA and AB, and the line is AC. So the 1st option is the answer

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Answer:

you're correct for both questions

Answer:

C and D have the same slope of 1

Step-by-step explanation:

3 units down

(-1,3)- (-1,0) 3 units down in y coordinate

and so on

Answer:

first one is right

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

In the current year, Bonnie sells stock valued at $60,000 to Linda for $15,000. Later that year, Bonnie gives Linda $25,000 in cash. Bonnie's taxable gifts from these transfers total a) $55,000.

Shares, also known as stocks, are securities that represent partial ownership of the issuing company. A unit of stock is called a "share" and allows the holder to receive a portion of the company's assets and profits equal to the number of shares held.

shares are traded primarily on stock exchanges and form the basis of many individual investor portfolios. Stock trading must comply with government regulations designed to protect investors from fraud.

Taxable Gifts:

Gifts valued at $75 or more are taxable.

Non-cash gifts of small value (less than $75 annually) to employees. Holiday turkeys are tax exempt.

tax-free value is capped at $1,600 for all her awards for one year.

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Answer:

(24 + 12) x 2 = 72 inches

y = 3x - 8 is the equation that represents the linear function.

Expressions are written as a function of variables.

Given an input value 'x' and output value 'y'

3 time x is expressed as 3x (Product of 3 and x). If the value 8 is less than the product of 3 and x, hence the resulting expression will be given as:

f(x) = 3x - 8

The equation that represents the given rule is y = 3x - 8

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The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

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Answer:The opposite of 5 1/2 is -5 1/2

Step-by-step explanation:The opposite of a positive number is the negative of the same number.

Hope this helps.

Answer:

5 1/2

Step-by-step explanation:

The opposite means that if the given number is negative - make it positive.

If the given number is positive - make it negative

Answer:

Step-by-step explanation:

5x

Answer:

A. –f(x)

Step-by-step explanation:

The transformation of a reflection about the x-axis is

f(x) -> -f(x).

So the answer is

A. –f(x)

Answer:

43

Step-by-step explanation:

43 miles for every 1 gallon of gas

The required vertex of the parabola is at the point \($\left(\frac{41}{8},-33\right)\).

To find the vertex of a parabola with the equation in the form \($ax^2+bx+c$\), you can use the formula for the x-coordinate of the vertex:

\($x_{\text{vertex}} = \frac{-b}{2a}$\)

In the given equation \($4x^2-41x+72$\), we can identify that a=4, b=-41, and c=72. Plugging these values into the formula, we can calculate the x-coordinate of the vertex:

\($x_{\text{vertex}} = \frac{-(-41)}{2(4)}$\)

\($x_{\text{vertex}} = \frac{41}{8}$\)

Now, to find the y-coordinate of the vertex, we can substitute the value of \($x_{\text{vertex}}$\) into the original equation:

\($y_{\text{vertex}} = 4 \left(\frac{41}{8}\right)^2 - 41 \left(\frac{41}{8}\right) + 72$\)

\($y_{\text{vertex}} = \frac{1681}{16} - \frac{3362}{16} + 72$\)

\($y_{\text{vertex}} = -33\)

So, the vertex of the parabola is at the point \($\left(\frac{41}{8},-33\right)\).

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