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DiKsa [7]
2 years ago
10

A grasshopper jumps off a tree stump. The height, in feet, of the grasshopper above the ground after t seconds is modeled by the

function shown below. After how many seconds will the grasshopper land on the ground? Round to the nearest tenth.
h(t) = -t^2 + 4/3t + 1/4

A. -0.2 seconds
B. 0.5 seconds
C. 1.5 seconds
D. 0.7 seconds
Mathematics
1 answer:
Monica [59]2 years ago
0 0

The height, in feet, of the grasshopper above the ground after t seconds is modeled by the function , which is

h(t) =-t^2+\frac{4}{3}t+ \frac{1}{4}

When the grasshopper land on the ground,

h(t)=0

that is,

-t^2+\frac{4}{3}t+ \frac{1}{4}=0

Multiplying whole equation by 12 to get rid of denominators 3 and 4

-12t^2+16t +3=0

(3-2t)(6t+1)=0 \\ 3-2t=0 , 6t+1=0 \\ t= \frac{3}{2} , \frac{-1}{6}

And time cant be negative, so the correct option is

t = \frac{3}{2}=1.5 seconds

Correct option is C .

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Answer:

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2) degree: 4 / number of terms: 3

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Step-by-step explanation:

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43. Write a system of equations that is equivalent to each of the systems of equations below
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1.

The <u>new system</u> of equivalent equations are 4x + 6y = 8 and 12x + 3y = 1

To get an equivalent equation, we multiply the original equation by a constant and replace it with the new equation.

So, 2x + 3y = 4 (1)

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We multiply equation (1) by 2

So, 2x + 3y = 4 (1) × 2

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Replacing (1) by (3), we have

4x + 6y = 8 (3)

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2.

The <u>new system</u> of equivalent equations are 3x - 21y = 24 and 5x + 4y = 20

To get an equivalent equation, we multiply the original equation by a constant and replace it with the new equation.

So,

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So, the <u>new system</u> of equivalent equations are 3x - 21y = 24 and 5x + 4y = 20.

Learn more about equivalent equations here:

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Answer:

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We know the ratio of yellow iris bulbs over the total is 2:5, so 40%.

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So, they sold 1.5 times more purple bulbs than yellow ones.

In total, the store sold 650 bulbs last year, and we hope they sell more this year.

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