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alexgriva [62]
3 years ago
5

ALGEBRA 1 HELP URGENT!!

Mathematics
1 answer:
butalik [34]3 years ago
5 0
Here, Sequence : -2, -6, -18, -54
Common Ratio = a₂/a₁ = -6/-2 = 3
As the expression is in negative sign, it's sequence will be -3ˣ
Where x = number of terms in the sequence [ By this rule, you can calculate the unknown nth number]

In short, Option C is your answer!!!!

Let me know, if you have some doubt.
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Find the midpoint of A and B where A has coordinates (8,5)<br> and B has coordinates (3, 7).
Mama L [17]

Answer:

Step-by-step explanation:

Average of x-coordinates = (8+3)/2 = 5.5

Average of y-coordinates = (5+7)/2 = 6

Midpoint at (5.5,6)

5 0
3 years ago
Eduardo spent $34 on a magazine and some candy bars if the magazine cost $6 and each candy bar cost $4 then how many candy bars
tatiyna

Answer: 7 candy bars

Step-by-step explanation:

First we need to subtract the cost of the magazine from the total cost

$34-$6=$28

Now the $28 that remains is the cost of all the candy bars, so if we divide by the price, we will get  the amount.

$28/$4=7 candy bars

7 0
3 years ago
The parent function f(x)=x^2 is translated such that the function g(x)=-x^2+6x-5 represented the new function. What is true abou
Alla [95]
<h3>Answer:</h3>
  • g(x) has an axis of symmetry at x = 3
  • g(x) is shifted right 3 units from the graph of f(x)
  • g(x) is shifted up 4 units from the graph of f(x)
<h3>Step-by-step explanation:</h3>

The vertex form of g(x) is ...

... g(x) = -(x -3)² +4

This is offset to the right by 3 and up by 4 from the parent function. (It is also first reflected across the x-axis.)

_____

<em>Vertex form</em>

You know the leading coefficient is -1 because that's what it is for x² in the given form. When you factor -1 from the first two terms, of the given form, you have ...

... g(x) = -1(x² -6x) -5

Half the x coefficient inside parentheses will be the constant in the squared binomial term, so that term is (x -3)². The constant in that square is +9, so adding that value inside and outside parentheses in g(x) gives ...

... g(x) = -1(x² -6x +9) -5 +9

... g(x) = -(x -3)² +4 . . . . . vertex form

_____

<em>About transformations</em>

g(x) = f(x -a) causes the graph of f(x) to be shifted "a" units to the right. For a function f(x) with an axis of symmetry at x=0, it moves the axis of symmetry to x=a.

g(x) = f(x) +a causes the graph of f(x) to be shifted "a" units up.

g(x) = -f(x) causes the graph of f(x) to be reflected across the x-axis.

Here, we have all three of these transformations. First is the reflection:

... f₁(x) = -f(x) = -x²

Then we have shifting to the right 3 units. (also moves the axis of symmetry)

... f₂(x) = f₁(x-3) = -(x -3)²

Finally, we have shifting up 4 units.

... g(x) = f₂(x) +4 = -(x -3)² +4

4 0
3 years ago
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