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Rasek [7]
3 years ago
5

What 4 consecutive integers thats add up to 50?

Mathematics
1 answer:
quester [9]3 years ago
5 0

Answer:

Sum of 4 consecutive integers is always an even number not divisible by 4 and 50 being even and not divisible by 4, we can find 4 consecutive intergers to sum up to 50. Indeed, the integers are 11, 12, 1 3 and 14.

Step-by-step explanation:

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Answer:

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Part B: The x-intercepts are x = 3 and -1.25 #

Part C: As x approaches ∞, y approaches ∞, as x approaches -∞, y approaches ∞

Part D: The graph is a u-shaped quadratic equation graph  passing though the x-intercept points -1.25 and 3 on the x-axis and the y-intercept point -15 on the y-axis. Both sides of the symmetrical graph curve extending to infinity

Step-by-step explanation:

The function 4·x² - 7·x-15

To factorize the expression, we have at the 0 factors;

x = \dfrac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}

Where;

a = 4, b = -7, c -15, substituting gives;

x = \dfrac{-(-7)\pm \sqrt{(-7)^{2}-4\times 4\times (-15)}}{2\times 4} =  \dfrac{7\pm 17}{8}  = 3 \ or -1.25

Which gives;

(x - 3)·(x + 1.25) = (x - 3)·(4·x + 5)

f(x) = 4·x² - 7·x-15 = (x - 3)·(4·x + 5)

Part B: The x-intercepts are the point where y = 0, which are x = 3 and -1.25 as shown above

Part C: As x approaches ∞, y approaches ∞, as x approaches -∞, y approaches ∞

Part D: With the the nature of the function as y approaches ∞ and -∞ the graph is a u-shaped graph of a quadratic equation passing though the points -1.25 and 3 on the x-axis and the point -15 on the y-axis.

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