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5 days ago

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Two is a zero of the equation x3−x2−14x+24=0. Which factored form is equivalent to the equation?

1 answer:

Inessa [12.5K]5 days ago

3 0

The answer to your question is: letter A. The polynomial equation x³ - x² - 14x + 24 = 0 indicates that two is a zero. Therefore, we divide the polynomial by 2. Using synthetic division, we have: 1, -1, -14, +24 using 2. The process yields 1, 1, -12, and 0. Thus, the result is x² + x - 12 = 0. We then need to factor this polynomial, identifying two numbers that multiply to -12 and sum to +1. These numbers are +4 and -3. Therefore, we determine that (x + 4)(x - 3) = 0. Ultimately, we arrive at the factored form (x + 4)(x - 3)(x - 2) = 0.

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Answer:

The formula representing the penny's height as a function of time is:

$h(t)=1451-16t^2$

After 7 seconds, the height of the penny will reach 667 feet.

Step-by-step explanation:

The penny experiences free fall.

With an initial velocity of zero and an initial height of h(0)=1,451.

Gravity acts as the acceleration, measured as g=32 ft/s^2.

The model can be initiated by analyzing speed:

$dv/dt=-g\\\\v(t)=v_0-gt=-gt$

Then, the height is expressed as:

$dh/dt=v(t)=-gt\\\\h(t)=h_0-\dfrac{gt^2}{2}=1451-\dfrac{32}{2}t^2\\\\\\h(t)=1451-16t^2$

The height of the penny at approximately 7 seconds can be calculated as:

$h(7)=1451-16(7^2)=1451-16*49=1451-784=667$

After 7 seconds, the penny will stand at a height of 667 feet.

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1 month ago

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The answer is C. Explanation: The shirt originally priced at $35 has a discount of 15%. Therefore, the savings amount will be calculated accordingly.

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18 days ago

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Respuesta:

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Explicación paso a paso:

Dado que:

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1 month ago

Read 2 more answers