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REY [17]
3 years ago
7

Which represents where f(x) = g(x)

Mathematics
1 answer:
Dafna1 [17]3 years ago
7 0
Answer: f(2) = g(2) and f(0) = g(0)

Explanation: The graphs equal the same thing (intercept) at those x values!
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Step by Step explanation of Vertex Form of f(x)=x^2-6x-40
NISA [10]

A quadratic in vertex form reads as

(<em>x</em> - <em>a</em>)² + <em>b</em>

where (<em>a</em>, <em>b</em>) is the vertex.

To get the given quadratic in this form, complete the square:

<em>x</em>² - 6<em>x</em> - 40 = <em>x</em>² - 6<em>x</em> + 9 - 49 = (<em>x</em> - 3)² - 49

Or, work backwards by expanding the vertex form and solving for <em>a</em> and <em>b</em> :

(<em>x</em> - <em>a</em>)² + <em>b</em> = <em>x</em>² - 2<em>ax</em> + <em>a</em>² + <em>b</em>

So if

<em>x</em>² - 6<em>x</em> - 40 = <em>x</em>² - 2<em>ax</em> + <em>a</em>² + <em>b</em>,

then

-2<em>a</em> = -6   →   <em>a</em> = 3

<em>a</em>² + <em>b</em> = -40   →   <em>b</em> = -49

6 0
3 years ago
Steve needs to ship a box of dice, each of which is a cube with a volume of 1 cubic centimeter. How many dice can Steve fit in t
AfilCa [17]

Answer:

D. 1,944

Step-by-step explanation:

the box's size is missing, so I looked for a similar question:

the box measures:

  • base (12 cm)
  • width (9 cm)  
  • height (18 cm)

total volume of the box = 12 x 9 x 18 = 1,944 cm³

since each dice occupies a volume of 1 cm³, then you can fit 1,944 dices in each box.

8 0
3 years ago
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