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lisabon 2012 [21]
2 years ago
5

Sally's goal is to collect between 900 and 1,000 seashells. Write and solve a

Mathematics
1 answer:
vlabodo [156]2 years ago
3 0

Answer:

900 ≤ x ≤ 1000

Step-by-step explanation:

Given

Minimum = 900

Maximum = 1000

Required

Write and solve a compound inequality

Represent the number of seashells with x.

To solve this, we first consider the minimum.

The relationship between x and the minimum is:

x ≥ minimum

This gives

x ≥ 900

Then, we consider the maximum.

This is represented as:

x ≤ maximum

x ≤ 1000

The two inequalities are:

x ≥ 900 and x ≤ 1000

This can be rewritten as:

900 ≤ x and x ≤ 1000

Combine both:

900 ≤ x ≤ 1000

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OverLord2011 [107]
Basically, the unit rate is 1.99/18 or 0.110.

If we round 1.99 to 2.00, we instead get 0.111~
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2 years ago
For the funtion f(x)= (x+7)^5, Find f^-1 (x)
quester [9]

Answer:

The inverse of function f(x)= (x+7)^5 is \mathbf{f^{-1} (x)=\sqrt[5]{x}+7}

Option A is correct option.

Step-by-step explanation:

For the function f(x)= (x+7)^5, Find f^{-1} (x)

For finding inverse of x,

First let:

y=(x+7)^5

Now replace x with y and y with x

x=(y+7)^5

Now, solve for y

Taking 5th square root on both sides

\sqrt[5]{x}=\sqrt[5]{(y+7)^5}\\\sqrt[5]{x}=y+7\\=> y+7=\sqrt[5]{x}\\y=\sqrt[5]{x}-7

Now, replace y with f^{-1} (x)

f^{-1} (x)=\sqrt[5]{x}+7

So, the inverse of function f(x)= (x+7)^5 is \mathbf{f^{-1} (x)=\sqrt[5]{x}+7}

Option A is correct option.

6 0
3 years ago
We played 15 games. We have two times as many losses as wins. How many wins do we have?
Hunter-Best [27]
I'd say the answer is 5 wins
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8 0
3 years ago
What is the sequence of transformations that maps △ABC to △A′B′C′ ? Select from the drop-down menus to correctly identify each s
torisob [31]
<h3>Answer:</h3>

Any 1 of the following transformations will work. There are others that are also possible.

  • translation up 4 units, followed by rotation CCW by 90°.
  • rotation CCW by 90°, followed by translation left 4 units.
  • rotation CCW 90° about the center (-2, -2).
<h3>Step-by-step explanation:</h3>

The order of vertices ABC is clockwise, as is the order of vertices A'B'C'. Thus, if reflection is involved, there are two (or some other even number of) reflections.

The orientation of line CA is to the east. The orientation of line C'A' is to the north, so the figure has been rotated 90° CCW. In general, such rotation can be accomplished by a single transformation about a suitably chosen center. Here, we're told there is <em>a sequence of transformations</em> involved, so a single rotation is probably not of interest.

If we rotate the figure 90° CCW, we find it ends up 4 units east of the final position. So, one possible transformation is 90° CCW + translation left 4 units.

If we rotate the final figure 90° CW, we find it ends up 4 units north of the starting position. So, another possible transformation is translation up 4 units + rotation 90° CCW.

Of course, rotation 90° CCW in either case is the same as rotation 270° CW.

_____

We have described transformations that will work. What we don't know is what is in your drop-down menu lists. There are many other transformations that will also work, so guessing the one you have available is difficult.

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