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melamori03 [73]
3 years ago
5

What is the factor of

{x}^{2} - 6x - 27" alt=" {x}^{2} - 6x - 27" align="absmiddle" class="latex-formula">
​
Mathematics
2 answers:
Ksju [112]3 years ago
6 0

Answer:

(x - 9)(x + 3)

Step-by-step explanation:

Given

x² - 6x - 27

Consider the factors of the constant term (- 27) which sum to give the coefficient of the x- term (- 6)

The factors are - 9 and + 3, since

- 9 × 3 = - 27 and - 9 + 3 = - 6, thus

x² - 6x - 27 = (x - 9)(x + 3)

andreyandreev [35.5K]3 years ago
5 0

Answer:

9 is correct answer

Step-by-step explanation:

{x}^{2}  - 6x - 27 \\  =  {x}^{2}  - 9x + 3x - 27 \\  =  x(x - 9) + 3(x - 9) \\  = (x + 3)(x - 9)

x=9

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Paul and seth know that one point on a line is (4,2)
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Answer:

ok? I'm guessing what equal to it?

Step-by-step explanation:

ex: (8,4) (12,6)

anything they multiply with the same multiplying number.

Such as 4 x 5 you would also need to do the same to 2, 2 x 5 your line would be at (20,10)

3 0
3 years ago
In a day care group, nine babies are five months old and 12 babies are seven months old. How many full months from now will the
Sliva [168]

Answer:

4.5 months a

Step-by-step explanation:

9 babies are five months old

Average age = 5 months

12 babies are seven months old.

Average age = 7 months

Currently the average age of the babies are: 5months + 7months = 12 months

21 babies = 12 months

How many full months from now will the average age of the 21 babies first surpass 20 months old

Surpassing 20 months old means above 20, = 21 months

5months + x + 7 month + x = 21months

Collect like terms

12 months + 2 x = 21 months

2x = 21 months - 12 months

2x = 9 months

2x = 9 months/2

x = 4.5 months

8 0
4 years ago
A scatter plot is shown
Gala2k [10]

Outlier - Distant from the rest.


(1,9) and (10,7) are outliers.

Answer - 2

Hope this Helps!!

6 0
3 years ago
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The volume formula for a right pyramid is v = bh. what does b represent?
Nata [24]
The area of the base 
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3 years ago
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You are building a rectangular fenced in area for your pets to run around. You want your pet to have a maximum area to run aroun
Setler79 [48]

Hey there mate ;)

Note that the quadratic function

A(x) = x(100-2x) gives the area.

Now, this equation is equivalent to:

A(x) = 100x - 2x²

To find maximum value of A, we first find the derivative of the given function:

\frac{dA}{dx} = 100 - 4x

Now find the critical value by setting dA/dx=0, that is:-

\frac{dA}{dx} = 100 - 4x = 0

Solving for x, we get:

x =  \frac{100}{4} = 25

Hence, the critical point is x=25

Now, Find 2nd derivative to check if the equation has maximum value:

A" =  - 4

Noting that the 2nd derivative is negative, hence, we have a maximum value. Infact, the maximum value in this case is when the value of x = 25.

The maximum area is therefore,

A = 25(100 - 2(25))

→ The Correct answer is:

1250ft^{2}

3 0
2 years ago
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