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3 years ago

For which value of m does the graph of y = 18x2 + mx + 2 have exactly one x-intercept?

Mathematics

1 answer:

Nadusha1986 [10]3 years ago

4 0

Answer:

m = +/- 12

Step-by-step explanation:

A quadratic function has only one x-intercept when the discriminant is equal to 0. The discriminant is b^2 - 4(a)(c).

When we plug in what we know, we have:

m^2 - 4(18)(2) = 0.

Then using algebraic properties, solve for m.

m^2 - 144 = 0

m^2 = 144

m = +/- 12

When you plug in positive or negative 12, and then factor you will see that it comes out to a difference of squares, proving that there is only one x-intercept.

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3 years ago

The height of a triangle is twice its base. If its area is 121cm^2 Find its base

kozerog [31]

Answer:

The base is 11 cm.

Step-by-step explanation:

The formula for the area of a triangle is $A = \frac{1}{2} bh$ . If we plug in what we know to this equation, we are left with $121 = \frac{1}{2} * b * 2b$ , which we now need to simplify.

First, we combine like terms.

$121 = \frac{1}{2} * 2b^{2}$

Then, we can eliminate the $\frac{1}{2}$ and $2$ on the right side of the equation, since they cancel each other out.

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3 years ago

Read 2 more answers

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Rasek [7]

Answers

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3 years ago

Ed bought 3 liters of water, 2,750 milliliters of sports drinks, and 2.25 liters of juice. For numbers 4a-4e, select True or Fal

Naily [24]

<span>4a) 1000 milliliters = 1 liter, thus 3 liters = 3 x 1000 = 3000 milliliters.
Thus Ed bought 3000 - 2750 = 250 more water than sports drink.
Therefore, Ed bought 250 milliliters more water than sports drink is True.

4b) Ed bought 3 - 2.25 = 0.75 more water than juice.
Therefore, Ed bought 1.25 liters more water than juice is False.

4c) Ed bought 2.25 liters = 2.25 x 1000 = 2250 milliliters of juice.
Thus, Ed bought 2750 - 2250 = 500 more sports drink than juice.
Therefore, Ed bought 50 milliliters more sports drink than juice is False.

4d) Ed bought 2750 milliliters = 2750 / 1000 = 2.75 liters of sports drink.
Ed bought 2.75 - 2.25 = 0.5 liters more sports drink than juice.
Ed bought 0.5 liter more of sports drink than juice is True.

4e) Ed bought 3000 milliliters of water and 2250 milliliters of juice.
Ed bought 3000 - 2250 = 750 more milliliters of water than juice.
Therefore, Ed bought 75 milliliters more water than juice is False.</span>

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4 years ago