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Vikentia [17]
3 years ago
8

the line of a function passes through the points indicated what is the x- intercept of this function? x/0/2/4/6 - y/-1/0/1/2

Mathematics
1 answer:
Rus_ich [418]3 years ago
5 0
(0,-1)(2,0)
slope = (0 - (-1) / (2 - 0) = 1/2

y = mx + b
-1 = 1/2(0) + b
-1 = b

ur equation is : y = 1/2x - 1

ur x intercept can be found by subbing in 0 for y and solving for x
0 = 1/2x - 1
-1/2x = -1
x = 2.....or (2,0) <== ur x intercept
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1.<br> What is the unit price of shampoo if a<br> 15-ounce bottle costs $2.79?
Rama09 [41]

Answer:

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Step-by-step explanation:

When you talk about "unit price," you need to define the unit of interest. Unit prices on grocery store shelves don't always use the same unit, even for like items. Here it might be convenient to use any of the following as the "unit":

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The "unit price" is computed as ...

  unit price = (price for some number of units)/(the number of units)

The "number of units" may be larger, smaller, or equal to 1.

Then the price per cup (8 ounces) would be ...

  unit price = (price for 15 oz)/(15/8 cups) = ($2.79)(8/15)

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The price per ounce would be ...

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8 0
3 years ago
By how many degrees did the direction of the boat change
gulaghasi [49]

Answer:

The boat turned <u>39°</u> degrees when it made its first turn.

Step-by-step explanation:

The question is as following:

A boat traveled north for 28 miles, then tuned x° south west and traveled for 25 miles before stopping. When it stopped, the boat was 18 miles from its starting point.

By how many degrees did the direction of the boat change when it made its first turn? Round to the nearest degree.

===================================================

See the attached figure which represent explanation of the problem.

The boat start from point A to point B then stopped at point C

AB = 28 miles, BC = 25 miles and AC = 18 miles.

It is required to find the angle x

By applying the cosine Rule:

AC² = AB² + BC² - 2 * AB * BC * cos x

18² = 28² + 25² - 2 * 28 * 25 * cos x

2 * 28 * 25 * cos x = 28² + 25² - 18²

1400 cos x = 1085

Cos x = 1085/1400 = 0.775

x = Cos⁻¹ 0.775 = 39.2° = 39° to the nearest degree.

So, the boat turned <u>39°</u> degrees when it made its first turn.

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