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weeeeeb [17]
2 years ago
6

Fill in the blank to make a perfect square y^2+12y+?

Mathematics
2 answers:
slega [8]2 years ago
6 0

Answer:

y^2+12y+36

Step-by-step explanation:

We want y^2+12y+? to become a perfect square.  To achieve this, take the coefficient of the y term (it is 12) and divide it by 2 (obtaining 6).  Now square this 6 and add the result (36) to y^2+12y.

You'll obtain y^2+12y+36, which is a perfect square.

Strictly speaking, if you begin with y^2+12y+?,

you should write y^2+12y    + 36 - 36

so as not to change the value of y^2+12y.

anastassius [24]2 years ago
4 0

Answer:

36

Step-by-step explanation:

To make a perfect square we add (b/2)^2

where b is   ay^2 +by +c

Take b=12  then divide it by 2

12/2 =6

The square it

6^2  =36

Add 36

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The ordered pairs model an exponential growth function. (−1,21.875), (0,35), (1,56), (2,89.6) What is the function equation? f(x
Karolina [17]

Answer:

Given the ordered pairs, the exponential growth function would be represented by f(x)=35(1.6)^x.

Step-by-step explanation:

Exponential growth functions are represented by the following equation: f(x)=ab^x, where 'a'=initial value; 'b'=rate of growth; 'x'=independent value or time.  Given the points, we see that the values of 'x' increase by 1 each time and dividing two 'y' values (35/21.875; 56/35; 89.6/56) gives us a change of 1.6.  Rate is the change in y/the change in x, or 1.5/1, which is the value of 'b'. When 'x' is equal to 0, the value of 'y' is 35, so this represents the initial value, or 'a'.  Plugging in these values will give us the final equation f(x)=35(1.6)^x.

5 0
2 years ago
4. Identify the graph of the solution set of 9 > 3 + 2x.
Ray Of Light [21]

Answer:

A

Step-by-step explanation:

9 > 3 + 2x

6 > 2x

3 > x

or

x < 3

and that means 3 is NOT included (otherwise there must be a smaller or equal sign). hence A is the right answer.

7 0
2 years ago
A 96 inch stick breaks into two pieces in the ratio of 3:5. How big is each piece?
Svetlanka [38]
40 cm.

let the length of the first part be 3x, second part be 4x, third part be 5x.

where x is a positive length in cm.

why 3x,4x and 5x ?

so that the ratio of lengths of the 3 parts be 3:4:5.

total length of the stick = 3x + 4x + 5x = 12x=96cm

so x=96/12 = 8cm

therefore the largest part of the stick (5x)= 5*8 =40cm
6 0
2 years ago
If you multiply my number by 6 and add the product to -4, the result is -40. What's my number?
Nikolay [14]

Answer:

I can totally help you but, what is your number by chance?

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
3x-5y&gt;20 what's the inequality for y
Alexeev081 [22]

X<20-5y (the whole expression divided by 3)


7 0
2 years ago
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