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Eddi Din [679]
2 years ago
11

HELP ASAP write a formula for quadratic equation if its graph has the vertex at point (1/3, -3)

Mathematics
1 answer:
lesya692 [45]2 years ago
4 0

Answer:

Is there a graph?

Step-by-step explanation:

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Find the product of following:(i) (x+3) (x+2) (ii) (2x-1) (2x-7)​
Inga [223]

Part (i)

<h3>Answer:  x^2 + 5x + 6</h3>

-----------------

Work Shown:

(x+3)(x+2)

y(x+2) ..... Let y = x+3

y*x + y*2 ... distribute

x(y) + 2(y)

x(x+3) + 2(x+3) .... plug in y = x+3

x*x + x*3 + 2*x + 2*3 ... distribute

x^2 + 3x + 2x + 6

x^2 + 5x + 6

=====================================================

Part (ii)

<h3>Answer:  4x^2 - 16x + 7</h3>

-----------------

Work Shown:

We could follow the same set of steps as shown back in part (i), but I'll show a different approach. Feel free to use the method I used back in part (i) if the visual approach doesn't make sense.

The diagram below is a visual way to organize all the terms. Many textbooks refer to it as "the box method" which helps multiply out any two algebraic expressions.

Each inner cell is found by multiplying the corresponding outer terms. For instance, in the upper left corner we have 2x*2x = 4x^2. The other cells are filled out the same way.

The terms in those four inner cells (gray boxes) are:

  • 4x^2
  • -14x
  • -2x
  • 7

The like terms here are -14x and -2x which combine to -16x, since -14+(-2) = -16.

We end up with the answer 4x^2-16x+7

8 0
3 years ago
How do I solve this inequality?
ch4aika [34]
The correct answer is: x ≥1
7 0
2 years ago
Find the equivalent expression using the same basis (34•84)^3
vichka [17]

Answer:

(2)^9•(3)^3•(7)^3•(17)^3

Step-by-step explanation:

(34•84)^3

=(34)^3•(84)^3

=(2•17)^3•(2•2•3•7)^3

=(2)^3•(17)^3•(2)^3•(2)^3•(3)^3•(7)^3

=(2)^(3+3+3)•(17)^3•(3)^3•(7)^3

=(2)^9•(3)^3•(7)^3•(17)^3

7 0
2 years ago
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Is the statement 2(3+5x)=6+5x always true?
mihalych1998 [28]
No that statement is not always true. There is only one solution to this equation.
5 0
3 years ago
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Solve my cousins hw please asapppo
ss7ja [257]

Answer:

8.6

Step-by-step explanation:

8 0
2 years ago
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