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2 years ago

11

sally found 71 seashells on the beach she gave benny some of her seashells. she has 32 seashells lefts. how many seashells did s

he give to benny part a: write the equation

2 answers:

Taya2010 [7]2 years ago

8 0

Answer:

39

Step-by-step explanation:

Alona [7]2 years ago

6 0

Answer:

71-32=x

or

71-x=32

Step-by-step explanation:

x represents how many seashells she gave benny.

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Which statement is TRUE?

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Answer:

B) A random sample may represent the population <em>is your best answer.</em>

Step-by-step explanation:

Note that the answer choice says "may", which means that it doesn't <em>always</em> represent the population. Random samples means that they ask random people, and do not have a certain rule that they have to follow (such as recipients can only be a certain race, age, etc.) and that they can ask anybody they meet. This can give not only a higher chance of a general population's opinion, but also makes sure that there is not a high chance of obtaining misleading information.

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mina [271]

Answer:

f(x) = -2x + 7, when x > 1

f(x) = 4x + 1 when x ≤ 1

Step-by-step explanation:

The right side graph passe through points (1,5) and (2,3).

Hence, the equation of the line

$\frac{y - 5}{5 - 3} = \frac{x - 1}{1 - 2}$

⇒ (y - 5) = 2(1 - x)

⇒ y - 5 = 2 - 2x

⇒ y = -2x +7.......... (1)

Now, the left side graph passes through points (1,5) and (0,1)

Therefore, the equation of the graph will be

$\frac{y - 5}{5 - 1} = \frac{x - 1}{1 - 0}$

⇒ y - 5 = 4(x - 1)

⇒ y = 4x + 1 ........ (2)

Hence, the equation (1) gives the function in the right side of the given graph which does not include the point (1,5) and extends to the right from this point.

Therefore, f(x) = -2x + 7, when x > 1 (Answer)

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lora16 [44]

Answer:

$\displaystyle y=2\sqrt{6}$

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Step-by-step explanation:

<u>Trigonometric Ratios </u>

The ratios of the sides of a right triangle are called trigonometric ratios.

The longest side of the right triangle is called the hypotenuse and the other two sides are the legs.

Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.

The image provided shows a right triangle whose hypotenuse is given. We are required to find the value of both legs.

Let's pick the angle of 30°. Its adjacent side is y. We can use the cosine ration, which is defined as follows:

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$\displaystyle \cos 30^\circ=\frac{y}{4\sqrt{2}}$

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$y=4\sqrt{2}\cos 30^\circ$

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$\displaystyle y=4\sqrt{2}\frac{\sqrt{3}}{2}$

Simplifying:

$\displaystyle y=2\sqrt{6}$

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$\displaystyle \sin 30^\circ=\frac{\text{opposite leg}}{\text{hypotenuse}}$

$\displaystyle \sin 30^\circ=\frac{x}{4\sqrt{2}}$

Solving for x:

$x=4\sqrt{2}\sin 30^\circ$

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$\displaystyle x=4\sqrt{2}\frac{1}{2}$

Simplifying:

$\displaystyle x=2\sqrt{2}$

The choices are not clear, but it seems like the correct answer is C.

$\boxed{\displaystyle y=2\sqrt{6}}$

$\boxed{\displaystyle x=2\sqrt{2}}$

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