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2 years ago

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

Mathematics

1 answer:

kobusy [5.1K]2 years ago

4 0

Answer:

$\large\boxed{m$

Step-by-step explanation:

x-intercepts are for y = 0.

Put y = 0 to the equation y = 3x² + 7x + m.

Calculate the discriminant of quadratic equation ax² + bx + c = 0:

Δ = b² - 4ac

if Δ < 0, then an equation has no solution

if Δ = 0, then an equation has one solution

if Δ > 0, then an equation has two solution.

a = 3, b = 7, c = m

Δ = 7² - 4(3)(m) = 49 - 12m

Two x-intercepts for Δ > 0.

Solve the inequality:

$49-12m>0$ <em>subtract 49 from both sides</em>

$-12m>-49$ <em>change the signs</em>

$12m$ <em>divide both sides by 12</em>

$m$

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sukhopar [10]

Answer:

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Step-by-step explanation:

A polynomial function of x can be represented as

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2 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

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Answer:

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Step-by-step explanation:

Let's solve your equation step-by-step.

5/15=x/ x+8

Step 1: Cross-multiply.

5/15=x/ x+8

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Step 2: Subtract 15x from both sides.

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