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rosijanka [135]
3 years ago
11

Aarti posted a comment on her blog. Each day the number of responses to her comment was 125% of the number she recieved on the p

revious day. If there were 64 responses the first day, how many were there on the fourth day?
Mathematics
1 answer:
Talja [164]3 years ago
6 0

Answer:

125

Step-by-step explanation:

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The function f(x) = x2 + 6x + 3 is transformed such that g(x) = f(x − 2). Find the vertex of g(x).
garri49 [273]

Answer:

(-1,-6)

Step-by-step explanation:

f(x)=x^2+6x+3

g(x)=f(x-2)

g(x)=(x-2)^2+6(x-2)+3  (Replaced x in f with (x-2))

g(x)=x^2-4x+4+6x-12+3 (Used (x+b)^2=x^2+2bx+b^2 and distributive property)

g(x)=x^2-4x+6x+4-12+3 (Gathered like terms)

g(x)=x^2+2x-5  (Simplified)

The vertex of a parabola occurs at (\frac{-b}{2a},g(\frac{-b}{2a}).

Let's find \frac{-b}{2a} first.

\frac{-2}{2(1)}=-1

Now we can obtain g(\frac{-b}{2a}) which is g(-1) in this case:

g(x)=x^2+2x-5

g(-1)=(-1)^2+2(-1)-5

g(-1)=1-2-5

g(-1)=-1-5

g(-1)=-6.

The vertex is (-1,-6).

6 0
3 years ago
Find the original price:<br> a house priced at $192030 after its value rose by 3.8%
soldier1979 [14.2K]
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I need help with these
IrinaVladis [17]
Let x be the number.
"twelve decreased by twice a number" ---> 12 - 2x
"8 times the sum of number and 4" ---> 8(x + 4)
12 - 2x = 8(x + 4)
12 - 2x = 8x + 32 (distributive property)
12 = 10x + 32 (add 2x to both sides)
-20 = 10x (subtract 32 from both sides)
x = -2 (divide both sides by 10)
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2 years ago
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Evaluate the expressions below for given values
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The answer to the question

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The rectangles shown are similar. What is the value of x?
drek231 [11]
Since the rectangles are similar. The ratio of their sides will be the same.

So, we can write:

x:18 = 4:6 \\  \\ &#10; \frac{x}{18}= \frac{4}{6} \\  \\   &#10;x =  \frac{4}{6}  * 18 = 12

Therefore, the left side of the bigger rectangle will be 12 units in length.
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2 years ago
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