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Gemiola [76]
3 years ago
7

Can someone please help me solve this problem?

Mathematics
1 answer:
Arlecino [84]3 years ago
8 0

9514 1404 393

Answer:

  true for all values of d; an infinite number of solutions

Step-by-step explanation:

Most folks find it convenient to eliminate the fractions as a first step. Here, we can do that by multiplying the equation by 12.

  4(2d) +(d +3) = 3(3d +1)

  9d +3 = 9d +3

This is true for all values of d. The equation has an infinite number of solutions.

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4. Why does Miss Maudie only have two small cakes instead of three
Rudiy27

Answer:

B

Step-by-step explanation:

She only has two cakes because that's all she bought.

8 0
3 years ago
Louis is playing a video game. He begins with an initial score of 300 points but loses 120 points throughout the game. He repres
elixir [45]

Answer:

300 + (-)120

Step-by-step explanation:

3 0
3 years ago
B -5 ≥ -45 answer and steps
Natalka [10]

Answer:

-50

Step-by-step explanation:

b-5 \geq -45

b-5 = -45 ( collect like terms)

b = -45 + -5

b = -45 -5  b = -50

8 0
2 years ago
Compare the two graphs and explain the transformation that was applied to f(x) in order to look exactly like the graph of g(x).
Neporo4naja [7]

The two graphs are represented below.

Answer and Step-by-step explanation: One graph can "transform" into another through changes in the function.

There are 3 ways to change a function:

  1. <u>Shifting</u>: it adds or subtracts a constant to one of the coordinates, thus changing the graph's location. When the <em><u>y-coordinate</u></em> is<em> </em>added or subtract and the x-coordinate is unchanged, there is a <em><u>vertical</u></em> <u><em>shift</em></u>. If it is the <em><u>x-coordinate</u></em> which changes and y-coordinate is kept the same, the shift is a <em><u>horizontal</u></em> <u><em>shift</em></u>;
  2. <u>Scaling</u>: it multiplies or divides one of the coordinates by a constant, thus changing position and appearance of the graph. If the <em>y-coordinate</em> is multiplied or divided by a constant but x-coordinate is the same, it is a <em>vertical scaling</em>. If the <em>x-coordinate</em> is changed by a constant and y-coordinate is not, it is a <em>horizontal</em> <em>scaling</em>;
  3. <u>Reflecting</u>: it's a special case of scaling, where you can multiply a coordinate per its opposite one;

Now, the points for f(x) are:

(-5,0)  (0,6)  (5,-4)  (8,0)

And the points for g(x) are:

(-5,-3)  (0,-9)   (5,1)   (8,-3)

Comparing points:

(-5,0) → (-5,-3)

(0,6) → (0,-9)

(5,-4) → (5,1)

(8,0) → (8,-3)

It can be noted that x-coordinate is kept the same; only y-coordinate is changing so we have a vertical change. Observing the points:

(-5,0-3) → (-5,-3)

(0,6-15) → (0,-9)

(5,-4+5) → (5,1)

(8,0-3) → (8,-3)

Then, the vertical change is a <u>Vertical</u> <u>Shift</u>.

Another observation is that y-coordinate of f(x) is the opposite of g(x). for example: At the second point, y-coordinate of f(x) is 6, while of g(x) is -9. So, this transformation is also a <u>Reflection</u>.

<u>Range</u> <u>of</u> <u>a</u> <u>function</u> is all the values y can assume after substituting the x-values.

<u>Domain</u> <u>of</u> <u>a</u> <u>function</u> is all the values x can assume.

Reflection doesn't change range nor domain of a function. However, vertical or horizontal translations do.

Any vertical translation will change the range of a function and keep domain intact.

Then, for f(x) and g(x):

graph            translation            domain      range

f(x)                       none                 [-5,8]          [-4,6]

g(x)                vertical shift           [-5,8]          [-9,1]

<u>In conclusion, this transformation (or translation) will affect the range of g(x)</u>

5 0
2 years ago
A cube has a volume of 125 cubic inches. What is the length of each edge?
Phantasy [73]

Answer:

1.95

Step-by-step explanation:

8 0
3 years ago
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