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klio [65]
2 years ago
11

What transformations are applied to the graph of the function f(x) = 10^x to produce the graph of the function g(x) = 3(10)^x -

2 ?
A.
a vertical dilation by a factor of and a horizontal shift to the right 2 units
B.
a vertical dilation by a factor of and a vertical shift down 2 units
C.
a vertical dilation by a factor of 3 and a vertical shift down 2 units
D.
a vertical dilation by a factor of 3 and a horizontal shift to the right 2 units

Mathematics
2 answers:
Jobisdone [24]2 years ago
8 0

Answer:

C

Step-by-step explanation:

lol didn't i just answer one of your questions, also give me brainliest pls :)

First, the function was multiplied by 3, which is a vertical dialation by a factor of 3. Then, we subtracted 2 from the function, which is a vertical shift down two units. Therefore, the answer is C

Nataly_w [17]2 years ago
4 0

Answer:

Its C

Step-by-step explanation:

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He will have 30 % in 2 years which is 30.00 dollars
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The two-way table shows the number of books of each type in Eliza's home ​what is the probability that a randomly selected refer
Salsk061 [2.6K]

Answer:

B. 0.4

Step-by-step explanation:

Use the definition of the probability

Pr=\dfrac{\text{Number of all favorable outcomes}}{\text{Number of all possible outcomes}}

You have to find the probability that a randomly selected reference book is hard cover. Hence, from the table

  • Number of all possible outcomes = Number of Reference books = 25
  • Number of all favorable outcomes = Number of Hardcover Reference books = 10

So, the probability is

Pr=\dfrac{10}{25}=\dfrac{40}{100}=0.4

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3 years ago
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Can someone please show me the steps in finding the answers to these two problems ?
ratelena [41]

Answer:

  • y = 8^(x-1)
  • x = 24

Step-by-step explanation:

The first step is always to look at the question to see what you are given and what you are asked for. The next step is to identify the relevant relations between what you have and what you need to find.

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1) You are given a sequence of (x, y) points where x increases by 1 from one point to the next, and y increases by a factor of 8. This tells you the value of y form a geometric sequence that is described by an exponential function.

The general form of the n-th term of a geometric sequence is ...

  an = a1·r^(n-1)

where a1 is the value for n=1, and r is the common ratio.

If this were a geometric sequence, we could write the general term using a1=1 and r=8:

  an = 1·8^(n-1)

Instead, this is a relation between x and y. It is the same relation as for the geometric sequence, but with different variable names. We have y instead of an, and we have x instead of n. So, the equation is ...

  y = 8^(x -1) . . . . . . . or . . y = (1/8)8^x

__

2) This equation is of the form ...

  k·∛x = 6

Since k is also a cube root, it is easiest to cube both sides of the equation:

  9x = 6³ = 216

Now, you can divide by 9 to find x:

  x = 216/9

  x = 24

5 0
3 years ago
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Can someone please answer?
gtnhenbr [62]

Answer:

The answer is 24

Step-by-step explanation:

6 0
3 years ago
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a rectangle has an area of x2+8x+15 square meters and a width of x+3 what expression represents the length of the rectangle
anzhelika [568]

Answer:

1x + 5

Step-by-step explanation:

Since the area of a rectangle of width w and length l is A = l*w,

length = Area / Width.

Here,                             x^2 + 8x + 15

length of rectangle  = ----------------------

                                            x + 3

Use synthetic division to perform the above.  The coefficients of the quadratic are a = 1, b = 8 and c = 15, and the divisor is -3 (from (x + 3).

-3      /  1        8        15

                    -3        -15

        -------------------------

            1         5        0

Since the remainer is zero (0), -3 is a root and 1x + 5 is a factor of the quadratic.  This factor, representing the length of the rectangle, is 1x + 5.

Next time, kindly share the answer choices.  Thank you.

6 0
3 years ago
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