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JulijaS [17]
3 years ago
14

ANSWER QUICK What are the values of a, b, and c in the quadratic equation 0=1/2x^2-3x?

Mathematics
1 answer:
Inga [223]3 years ago
8 0

Answer:

a=\dfrac{1}{2}\\ \\b=-3\\ \\c=0

Step-by-step explanation:

The general form of the quadratic equation is

ax^2+bx+c=0

You are given the quadratic equation

0=\dfrac{1}{2}x^2-3x

It can be rewritten in standard form as

\dfrac{1}{2}x^2-3x=0

Hence,

a=\dfrac{1}{2}\\ \\b=-3\\ \\c=0

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A kangaroo hopped \dfrac13 3 1 ? of the distance to the lake with her baby in her pouch. She hopped the remaining 70407040 yards
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Answer:

6 miles.

Step-by-step explanation:

Let x be the total distance hoped by Kangaroo to the lake.

We have been given that a kangaroo hopped 1/3 of the distance to the lake with her baby in her pouch.

She hopped the remaining 7040 yards without her baby in her pouch. This means that 2/3 of total distance (x) is 7040. We can represent this information in an equation as:

\frac{2}{3}*x=7040

Let us solve for x by multiplying both sides of our equation by 3/2.

\frac{3}{2}*\frac{2}{3}*x=\frac{3}{2}*7040

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Therefore, the total distance hoped by the kangaroo is 10560 yards.

1 mile = 1760 yards

Let us convert this distance in miles by dividing 10560 yards by 1760.

\text{The kangaroo hoped}=\frac{10560\text{ yards}}{\frac{1760\text{ yards}}{\text{Mile}}}

\text{The kangaroo hoped}=\frac{10560\text{ yards}}{1760}\times \frac{\text{ Mile}}{\text{ yards}}

\text{The kangaroo hoped}=\frac{10560}{1760}\times\text{ Mile}

\text{The kangaroo hoped}=6\text{ Miles}

Therefore, the kangaroo hoped 6 miles to the lake.

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