Answer:
The number of seashells he have in his collection all together is <u>140</u>.
Step-by-step explanation:
Given:
Stanley has a collection of seashells. He found 35% of his collection on Florida beaches.
Stanley has 49 seashells from Florida.
Now, to find the number of seashells of his collection altogether.
Let the number of seashells all together be 
Percentage of seashells found on Florida beaches = 35%.
Number of seashells found on Florida beaches = 49.
Now, to get the number of seashells altogether we put an equation:
⇒ 
⇒ 
⇒ 
Dividing both sides by 0.35 we get:
⇒ 
Therefore, the number of seashells he have in his collection all together is 140.
The correct answer is: [C]: " f(x) ≤ x² − x − 1 " .<span>
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Explanation:
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Note that the graph has a solid line. This means that the correct equation for the graph contain either: 1) </span>≤ or: 2) ≥ .
We note that all of the answer choices provided have either: ≤ or: <span>≥ .
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Let us start with a point on the graph that is "not shaded" (i.e. that is NOT a solution: " (0, 2) " ; that is: when "x = 0" , y = 2" .
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Try this for all the answer choices:
Choice: [A]: " y ≥ x² − x − 1 " ;
→ " 2 ≥ 0² − 0 − 1 " ? ;
→ " 2 ≥ 0 − 1 " ? ;
→ "2 ≥ -1 " ? Yes!
So we can rule out "Choice: [A]" .
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Try Choice: [B]:
→ " y ≤ −x² − x −1 " ;
→ " 2 ≤ −(0²) − 0 − 1 " ?
→ " 2 ≤ 0 − 0 − 1 " ?
→ " 2 ≤ -1 " ? No! So this is a possible solution.
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Now, let's try Choice: [C]"
→ " y ≤ x² − x − 1 " ;
→ " 2 ≤ 0² − 0 − 1 " ? ;
→ " 2 ≤ 0 − 1 " ? ;
→ " 2 ≤ -1 " ? ; No! So this is possible answer.
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Now, let's try the last answer choice: [D]:
→ " y ≥ −x² − x − 1 " ;
→ " 2 ≥ −0² − 0 − 1 " ? ;
→ " 2 ≥ 0 − 0 − 1 " ? ;
→ " 2 ≥ - 1 " ? ; No! So this is a possible answer!
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Now, we have narrow our choices to B, C, and D.
Now , among these choices, which of these fits a point with the shaded region?
Let us pick a point: "(2, 0) " that, is, when "x = 2, y = 0 " .
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Let us start with: "Choice: [B] " :
→ " y ≤ −x² − x −1 " ;
→ " 0 ≤ −(2²) − 2 − 1 " ?
→ " 0 ≤ -4 − 2 − 1 " ?
→ " 0 ≤ -7 " ? No! So we can rule out "Choice B" .
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Now, let us try "Choice: [C]" :
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→ " y ≤ x² − x − 1 " ;
→ " 0 ≤ 2² − 2 − 1 " ? ;
→ " 0 ≤ 4 − 2 − 1 " ? ;
→ " 0 ≤ 1 " ? ; Yes! So; this should be the correct answer:
Answer choice: [C]: " f(x) ≤ x² − x − 1 " ;
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Let us try " Choice: [D]"— to confirm that "Choice: [D]" is incorrect:
→ " 0 ≥ −(2²) − 2 − 1 " ;
→ " 0 ≥ −(2²) − 2 − 1 " ? ;
→ " 0 ≥ − 4 − 2 − 1 " ? ;
→ " 0 ≥ − 7 " ? ; No! So we can rule out: "Choice: D<span>" .
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The correct answer is: [C]: " f(x) ≤ x² − x − 1 " .
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I believe A. but Major guess tho
