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Archy [21]
2 years ago
8

Use the drop-down menus to choose steps in order to correctly solve 4k−6=-2k−16−2 for k .

Mathematics
1 answer:
Triss [41]2 years ago
8 0
While there is no drop-down menu options for me to choose. I will show you how to solve this.

\mathrm{Subtract\:the\:numbers:}\:-16-2=-18 \ \textgreater \  4k-6=-2k-18

\mathrm{Add\:}6\mathrm{\:to\:both\:sides} \ \textgreater \  4k-6+6=-2k-18+6 \ \textgreater \  Simplify

4k=-2k-12 \ \textgreater \  \mathrm{Add\:}2k\mathrm{\:to\:both\:sides} \ \textgreater \  4k+2k=-2k-12+2k

Simplify again.

6k=-12 \ \textgreater \  \mathrm{Divide\:both\:sides\:by\:}6 \ \textgreater \  \frac{6k}{6}=\frac{-12}{6} \ \textgreater \  Simplify \ \textgreater \  k=-2

Hope this helps!
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A rare first-edition book is currently priced at $200. After one year, the price of the book is anticipated to be 1.15 times the
Arisa [49]

Answer:

The graph should look like the graph of f(x)=230*(1.15)^x

Step-by-step explanation:

The question is an exponential function problem because the price increase is dependent on the previous price. NOT the initial price. Therefore, using the

f(x) = a(1+r)^x formula, and plugging in the corresponding values, we get the answer.

3 0
2 years ago
Read 2 more answers
To have $25,000 to spend on a new car in five years, how much money should Jill invest today at 8% compounded monthly?
Mariulka [41]
The answer is B
Because if you use your calculation right you would end up with 16,463
7 0
2 years ago
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Which describes how to graph h (x) = negative RootIndex StartRoot x + 8 EndRoot by transforming the parent function?
SashulF [63]

Answer:

Reflect the parent function over the x-axis, and translate it 8 units to the left.

Step-by-step explanation:

The given function is

y =  -  \sqrt{x + 8}

The parent function is

y =  \sqrt{x}

Since there is a negative multiply the transformed function, there is a reflection in the x-axis.

Since 8 is adding, within the square root, there is a horizontal translation of 8 units to the left.

Therefore to graph the given function, reflect the parent function over the x-axis, and translate it 8 units to the left.

5 0
2 years ago
Find the average rate of change of the function defined by the following table. x y -2 -5 2 35 6 75 10 115
Pani-rosa [81]

By definition we have that the average rate of change of the function is:

 AVR =  \frac{f(x2) - f(x1)}{x2 - x1}

 Evaluating the function for the complete interval we have that the AVR is given by:

 AVR = \frac{115 - (-5)}{10 - (-2)}

 Rewriting we have:

 AVR = \frac{115+5}{10+2}

 Simplifying the expression we have:

 AVR = \frac{120}{12}

 AVR = 10

 Answer:

 the average rate of change of the function defined by the table is:

 AVR = 10

6 0
2 years ago
Wheel A has a diameter of 25.4 inches. Wheel B has a diameter of 22.5 inches. About how much farther will Wheel A travel in one
MissTica

Wheel A will travel a distance of approximately 9 in more than wheel B in one rotation.

<u>Explanation:</u>

Given:

Diameter of wheel A, d₁ = 25.4 in

Radius of wheel A, r₁ = 12.7 in

Diameter of wheel B = 22.5 in

Radius of Wheel B, d₂ = 11.25 in

Distance travelled by A = ?

In one rotation, the distance travelled by a wheel is equal to its circumference.

Circumference of a wheel = 2πr

Circumference of wheel A = 2πr₁

                                            = 2 X 3.14 X 12.7 in

                                            = 80 in

Circumference of wheel B = 2πr₂

                                              = 2 X 3.14 X 11.25 in

                                              = 71 in

Therefore, wheel A will travel a distance of approximately 9 (80 - 71 in) in more than wheel B in one rotation.

3 0
2 years ago
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