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BigorU [14]
2 years ago
9

Write different pairs of decimals whose sums are14.1.One pair should involve regrouping.

Mathematics
1 answer:
SOVA2 [1]2 years ago
3 0
So regrouping
the teacher doesn't want
14 and 0.1
she wants something to take the decimals apart and whole numbers exg
10.2 +3.9=10+0.2+3+0.9=10+3+0.2+0.9=13+1.1=14.1

some examples are
1.2+12.9
2.4+11.7
3.7+10.4
...
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DIA [1.3K]
x^2 + y^2 - 6x - 4y - 12 = 0
x^2 - 6x + y^2 - 4y = 12
x^2 - 6x + 9 + y^2 - 4y + 4 = 12 + 9 + 4
(x - 3)^2 + (y - 2)^2 = 25
7 0
3 years ago
3/5x 22= 28 solve evuation
MariettaO [177]
3/5x + 22 = 28
-22. -22
3/5x = 6
(5/3)(3/5)x = 6 × (5/3) multiply by the reciprocal
x = 6 × (5/3) -------------> 6 and 3 can be simplify so it will be x = 2 × 5 = 10

check
3/5 (10) + 22 ---> 3 × 2 + 22
28 = 28 ✔
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
Read 2 more answers
Please someone help me
Katena32 [7]

Answer: B.) -4+3

Step-by-step explanation:

The model represents "-4+3" because the blue arrow (top) stops at 3 which is a positive and the red arrow (bottom) stops at -4 which is a negative.

8 0
2 years ago
(9,3) and (-4,-7) whats the slope
omeli [17]

Answer:

10/13

Step-by-step explanation:

-7-(3)

----------

-4-(9)

3 0
2 years ago
Read 2 more answers
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