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3 years ago

Find the equation of a line that is parallel to -6x+3y=3 and passes through the point (5,4).

1 answer:

7 0

$\[\begin{array}{l} - 6x + 3y = 3\\y = 2x + 1\\f(x) = 2x + b\\f(5) = 4\\4 = 2 \cdot 5 + b\\ - 6 = b\\f(x) = 2x - 6\end{array}\]\\$

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djverab [1.8K]

The maximum height of the projectile is the maximum point that can be gotten from the projectile equation

The projectile reaches the maximum height after 5 seconds

The function is given as:

$\mathbf{h(t) = -16t^2 + 160t}$

Differentiate the function with respect to t

$\mathbf{h'(t) = -32t + 160}$

Set to 0

$\mathbf{h'(t) = -32t + 160 = 0}$

So, we have:

$\mathbf{-32t + 160 = 0}$

Collect like terms

$\mathbf{-32t =- 160 + 0}$

$\mathbf{-32t =- 160}$

Solve for t

$\mathbf{t = \frac{- 160}{-32}}$

$\mathbf{t = 5}$

Hence, the projectile reaches the maximum after 5 seconds

Read more about maximum values at:

brainly.com/question/6636648

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2 years ago

The submarine dove 150 feet from periscope height to an elevation of 200 feet below sea level.

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THE ANSWERS IS POINT C

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3 years ago

One Year, the price of wheat was $8.87 per bushel. The next year, the price was $9.60. Round the price per bushel of wheat for e

Alex787 [66]

Next year the price is going to be 10.23

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3 years ago

Evaluate (f + g)(x) if f(x) = 2x and g(x) = 3X - 2<br> when x = 3

77julia77 [94]

Answer:

Step-by-step explanation:

→ Substitute 3 into 2x

2 × 3

→ Evaluate

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→ Substitute x = 3 into 3x - 2

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→ Evaluate

→ Find the sum of the 2 results

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1 year ago

Is 110,571 divisible by 3?

MAXImum [283]

Answer:

yes, it is.

Step-by-step explanation:

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2 years ago