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sammy [17]
4 years ago
14

Fill in the answer that completes the square. Then write the trinomial in factored form.

Mathematics
1 answer:
JulijaS [17]4 years ago
3 0
X+6 is the answer to the question.
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Find two numbers whose difference is 150 and whose product is a minimum. step 1 if two numbers have a difference of 150, and one
valentinak56 [21]
The lowest possible product would be -5625 given the numbers 75 and -75. 

We can find this by setting the first number as x + 150, which we see in the equation given above. The other number would have to be simply x since it has to have a 150 difference. 

Next we'll multiply the numbers together. 

x(x+150)
x^2 + 150x

Now we want to minimize this as much as possible, so we'll find the vertex of this quadratic graph. You can do this by finding the x value as -b/2a, where b is the number attached to x and a is the number attached to x^2

-b/2a = -150/2(1) = -150/2 = -75

So we know one of the values is -75. We can plug that into the equation to find the second. 

x + 150 
-75 + 150 
75

 
7 0
3 years ago
How do I write 0.632 in expanded word form?
Leno4ka [110]
0.632 in expanded word form is six hundred thirty two thousandths <span />
6 0
4 years ago
Read 2 more answers
What equivalent matches <br> (x - 6 + I)(x - 6 - i)
alex41 [277]

Good evening ,

Answer:

(x - 6 + i)(x - 6 - i) = x² - 12x + 37

Step-by-step explanation:

(x - 6 + i)(x - 6 - i) = [(x - 6) + i]×[(x - 6) - i] = (x-6)² - i² = (x-6)² + 1 = x² - 12x + 37 .

:)

6 0
3 years ago
Hich of the following is an even function? f(x) = (x – 1)2 f(x) = 8x f(x) = x2 – x f(x) = 7
Ede4ka [16]

<u>Answer:</u>

f(x) = 7 is an even function.

<u>Step-by-step explanation:</u>

Any function is even when f(x) = f(-x) and gives a graph that is symmetric with respect to the y-axis.

We are given these options and we have to check whether which of them is an even function:

f(x)= (x-1)^2 = x^2-2x+1

and f(-x) = (-x - 1)^2 = x^2 + 2x + 1 - This function is not even


f(x) = 8x

and f(-x) = -8x - This function is not even


f(x)=x^2-x

and f(-x) = (-x)^2 + x = x² + x - This function is not even


f(x) = 7

and f(-x) = 7 - EVEN FUNCTION

We get the same value for f(x) and f(-x), therefore f(x) = 7 is an even function.

8 0
3 years ago
Read 2 more answers
we have to evaluate the expression for the given value of the variable. i got -16 but it’s supposed to be 48. help??
Dovator [93]

\bf \cfrac{4(3h-6)}{1+h}\implies \stackrel{\textit{h=-2}}{\cfrac{4[3(-2)-6]}{1+(-2)}}\implies \cfrac{4[-6-6]}{1-2}\implies \cfrac{4[-12]}{-1} \\\\\\ \cfrac{-48}{-1}\implies 48

8 0
4 years ago
Read 2 more answers
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