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serious [3.7K]
3 years ago
13

For what values of m does the graph of y = 3x^2+ 7x + m have two x-intercepts?

Mathematics
1 answer:
qaws [65]3 years ago
8 0

Answer:

m < 49/12

Step-by-step explanation:

The portion of the quadratic formula under the square root sign is the discriminant.

If the discriminant is > 0 then there are two real roots.

b² -4ac > 0

-----------------------------

7² - 4(3)m > 0

49 - 12m > 0

Subtract 49 from both sides

-12m > -49

Divide both sides by -12

(when multiplying or dividing by a negative the inequality must be reversed)

m < 49/12

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Magalie brings 48 ounces of soda to her daughter's birthday party. She wants to divide allof her soda evenly among the 9 people
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Answer:

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Step-by-step explanation:

In order to find out how many ounces of soda each person gets we need to take the total amount of soda Magalie brought to the party and divide it by the number of people that will drink the soda. In this case we have:

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2 years ago
Determine the end behavior of each rational function below. <br> f(x) = 7x5 − 3x + 1 / 4x3 + 2
Svetllana [295]

Answer:

When x ⇒ +∞ and x ⇒ -∞, f(x) ⇒ +∞

Step-by-step explanation:

Hi there!

First, let´s write the function:

f(x) = (7x⁵ - 3x +1) / (4x³ + 2)

When x ⇒ +∞

f(x) ⇒ (7x⁵ - 3x) / 4x³    because (7x⁵ - 3x)>>>1 and 4x³>>>2 we can neglect those constants.

f(x) ⇒7x⁵/4x³ - 3x/4x³

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f(x) ⇒ 1.75x² = +∞ (because x² is always positive)

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8 0
3 years ago
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