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ki77a [65]
3 years ago
5

The graphs below have the same shape the equation of the red graph is f(x) =x^2. What is the equation of the blue graph?

Mathematics
1 answer:
daser333 [38]3 years ago
3 0

Answer:

G(x)=(x-6)^2

which agrees with the answer D of your options

Step-by-step explanation:

Notice that the graph of G(x) has the initial graph shifted horizontally to the right in 6 units, therefore such horizontal shift is accomplished by subtracting the 6 units from the x-variable in the original expression:

G(x)=(x-6)^2

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Divid 15 into two parts such that the sum of their reciprocal is 3/10
Klio2033 [76]
From the information obtained from the question, two equations can be created:
 
Let x and z be the two numbers (parts)

\frac{1}{z}   +   \frac{1}{x}  =   \frac{3}{10} .  .  .  . (1)

z  +   x  =  15  .  .  .  . (2)

By transposing (2), make 'z' the subject of the equation
z = 15 - x  .  .  .  . (3)

By substituting (3) into equation (1) to find a value for x
\frac{1}{(15 - x)} + \frac{1}{x} = \frac{3}{10}

\frac{15}{( 15 - x ) ( x )}  =   \frac{3}{10}

3 ( - x^{2}  + 15 x )  =  150

3 x^{2}  - 45x + 150 = 0

⇒  ( x - 5 )  ( x - 10 )  = 0

∴ either ( x - 5) = 0        OR    ( x - 10 ) = 0

Thus x = 5 or x = 10

By substituting the values of x into (2) to find z

     z + (5) = 15       OR      z + (10) = 15

    ⇒      z = 10      OR                 z = 5

So, the two numbers or two parts into which fifteen is divided to yield the desired results are 5 and 10.





5 0
3 years ago
Can anyone help me? I'm not getting anywhere!!
hram777 [196]
To analyze [insert whatever box and whisker plot does] and compare.
7 0
3 years ago
Find the sale price of each item round two decimal places when necessary $45: mark down 22%
Bess [88]
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4 0
3 years ago
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At Doggy Daycare, there are 3 trainers assigned for every 12 dogs. There are 72 dogs enrolled for the daycare on Tuesday. Determ
fenix001 [56]

Answer:

18

Step-by-step explanation:

make a ratio relation:

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solve for x, and you get 18

7 0
3 years ago
does anyone know how to help me with the letters in math, i dont understand it, and i need help, someone please? if you can can
galina1969 [7]

Answer:

Step-by-step explanation:

Letters are variables and those variable can store a number

Ex: x=5  y=2

evaluate : 3x+2y

we know that x is 5, so we know that 3x would be 15

we know that y is 2, so we know that 2x would be 4

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(This is a very simple example, when you get older, the expression would be much more confusing.

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