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Anastaziya [24]
3 years ago
12

Select ALL the correct answers,

Mathematics
1 answer:
Vaselesa [24]3 years ago
8 0
<h2><u>Answer</u><u> </u><u>:</u></h2>

Option (2) and Option (3) is the correct answer .

<u>Requ</u><u>ired</u><u> </u><u>Ex</u><u>plaination</u><u> </u><u>:</u>

Scenario 2 : The height of a stone shot by a catapult reaches a maximum height and then falls on the ground.

  • The graph of this scenario is a downward parabola. Therefore option 2 is correct.

Scenario 3 : The sale of product increases at first and then decreases.

  • The graph of this scenario is a downward parabola. Therefore option 3 is correct.

<u>Therefore, the correct options are </u><u>2</u><u> </u><u>and</u><u> </u><u>3</u><u>.</u>

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Which polynomial function could be represented by the graph below?
Zinaida [17]

Answer:

third answer

Step-by-step explanation:

The end behavior of the function indicates that the leading coefficient of x is negative (as x approaches infinity, f(x) approaches negative infinity for cubic functions with negative leading coefficients). This eliminates the first 2 answers. Next, factor out the common factor from the 3rd answer and set it to 0 to see if the roots of the polynomial shown on the graph (x=-3, x=2) match that of the answer.

  • factor out -2x since each term in the 3rd answer is divisible by -2x => -2x(x^2+x-6)
  • set the factored polynomial equal to 0 => -2x(x^2+x-6)
  • divide both sides by -2x => 0 = x^2+x-6
  • factor => (x+3)(x-2) = 0
  • find zeros by setting both factors equal to 0 => x=-3, x=2

This means that the 3rd answer is correct. The last answer, while having the correct leading coefficient, will produce roots of 3 and -2 instead of -3 and 2, which is shown on the graph.

6 0
3 years ago
1. Simplify: (6-√5)(5+√5)
aniked [119]
150 because 6 times 5 is 30 then you multiply whats inside the square root thing so you'd get 25, 25 is a perfect square which simplifies to 5 then 5 times 30 is 150.
7 0
3 years ago
Read 2 more answers
Abby and Alex were practicing free throws. Abby attempted 40 shots and made 36 of them. Alex attempted 60 shots and made 54 of t
ZanzabumX [31]

Answer:

Abby is the answer

Step-by-step explanation:

When you calculate Abby’s free throws you should realize

40 - 36 = 4

However with Alex’s free throws you calculate

60 - 54 = 6

When you compare the two Abby has a higher percentage of attempts because she was more successfu!

3 0
3 years ago
Read 2 more answers
Find f(x) if it is known that f(x+3)=4x+12.
MArishka [77]

Solution:

we are given that

f(x+3)=4x+12

we have been asked to find f(x).

we can find the value of f(x) by re-writing the given function in the form of f(x+3) and thereafter we will replace (x+3) by x.

we can re-write the given function as below

f(x+3)=4(x+3)\\\\\Rightarrow f(x)=4x\\

Hence the expression representing f(x) is f(x)=4x+3.

8 0
3 years ago
Read 2 more answers
If f(x)=4^x, find f(4)
lina2011 [118]

Answer:

\huge\boxed{f(4) = 256}

Step-by-step explanation:

<u>Given function is:</u>

f(x) = 4^x

Put x = 4

So,

f(4) = 4^4\\\\f(4) = 256\\\\\rule[225]{225}{2}

Hope this helped!

<h3>~AH1807</h3>
6 0
3 years ago
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