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g100num [7]
2 years ago
9

There are two consecutive even integers. The square of the larger one is three hundred eight more than the smaller one. Which of

the following equations could you use to find the smaller integer?
A. (x + 2)2 - 308 = x
B. (x + 2)2 + 308 = x
C. (x + 1)2 + 308 = x
D. (x + 1)2 = x - 308
E. (x + 1)2 - 308 = x
F. (x + 2)2= x - 308
Mathematics
1 answer:
DaniilM [7]2 years ago
5 0

Answer:

e.) (x+1)2-308=x

Step-by-step explanation:

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Which of the following represents the zeros of f(x) = x3 − 11x2 + 38x − 40?
Delvig [45]
The answer is <span>5, 4, 2
</span>
Among all choices we have 5, so
x = 5
x - 5 = 0
Let's divide the expression by (x - 5) using the long division:
                          x³ - 11x² + 38x - 40
(x - 5)  * x² =      x³ - 5x²                   Subtract
____________________________
                              -6x² + 38x - 40
   (x - 5) * (-6x) =    -6x² + 30x          Subtract
____________________________
                                           8x - 40
                    (x - 5) * 8 =     8x - 40   Sutract
____________________________
                                              0

Thus: x³ - 11x² + 38x - 40 = (x - 5)(x² - 6x + 8)

Now, let's simplify x² - 6x + 8.

x² - 6x + 8 = x² - 2x - 4x + 8 =
                  = x² - 2*x - (4*x - 4*2) = 
                  = x(x - 2) - 4(x - 2) =
                  = (x - 4)(x - 2)

Hence:
x³ - 11x² + 38x - 40 = (x - 5)(x - 4)(x - 2)
To calculate zero:
x³ - 11x² + 38x - 40 = 0
(x - 5)(x - 4)(x - 2) = 0
x - 5 = 0            or             x - 4 = 0              or      x - 2 = 0
x = 5                 or              x = 4                   or      x = 2
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3 years ago
Question 2 of 5
Tanzania [10]
B. 47


Hope this helps!!!
7 0
2 years ago
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The answer is C

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Choose the more precise measurement from the pair 54.1 cm and 54.16 cm and justify your answer.
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The leg of the isosceles triangle is two less than three times the length of its base. If the perimeter of the triangle is 45 m,
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