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disa [49]
3 years ago
12

Which represents a quadratic function? f(x) = −8x3 − 16x2 − 4x f (x) = x 2 + 2x − 5 f(x) = + 1 f(x) = 0x2 − 9x + 7

Mathematics
2 answers:
Katena32 [7]3 years ago
8 0
\text{A quadratic function:}\ f(x)=ax^2+bx+c\\\\\text{where}\ a\neq0
f(x)+-8x^3-16x^2-4x-NOT\\\\f(x)=x^2+2x-5-YES\\\\f(x)=?+1-NOT\\\\f(x)=0x^2-9x+7-NOT

Papessa [141]3 years ago
4 0

Answer:

f(x)=x^{2} +2x-5

Step-by-step explanation:

We need to find the function f(x) representing a quadratic function.

Now, we know that the general form of a quadratic function is ax^{2}+bx+c , where a\neq 0

So, Let us consider each function one by one.

f(x)=-8x^{3}-16x^{2} -4x

Clearly, the above function has a cubic term in it so it is a cubic function NOT a quadratic function.

Now, f(x)=x^{2} +2x-5

Clearly, the above function is of the form ax^{2}+bx+c so, it is a quadratic function.

Now, f(x)=0x^{2} -9x+7

Here, the coefficient of x^{2} is 0. So, it is not of the form ax^{2}+bx+c , where a\neq 0 .

So, it is NOT a quadratic function.

Hence, only f(x)=x^{2} +2x-5  is a quadratic function among the all functions.

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5/6(2x+12)-8=4-(x+1)
alekssr [168]

For this case we have the following equation:

\frac {5} {6} (2x + 12) -8 = 4- (x + 1)

We apply distributive property on the left side of the equation:

\frac {5 * 2} {6} x + \frac {5 * 12} {6} -8 = 4- (x + 1)\\\frac {10} {6} x + \frac {60} {6} -8 = 4- (x + 1)

We simplify the left side of the equation:

\frac {5} {3} x + 10-8 = 4- (x + 1)

Different signs are subtracted and the major sign is placed.

\frac {5} {3} x + 2 = 4- (x + 1)

On the right side we must take into account that:

- * + = -

So:

\frac {5} {3} x + 2 = 4-x-1\\\frac {5} {3} x + 2 = 3-x

We add x to both sides of the equation:

\frac {5} {3} x + x + 2 = 3\\\frac {5 * 1 + 3 * 1} {3} x + 2 = 3\\\frac {5 + 3} {3} x + 2 = 3\\\frac {8} {3} x + 2 = 3

We subtract 2 from both sides of the equation:

\frac {8} {3} x = 3-2\\\frac {8} {3} x = 1

We multiply by 3 on both sides of the equation:

8x = 3

We divide by 8 on both sides of the equation:

x = \frac {3} {8}

Thus, the solution of the equation is:

x = \frac {3} {8}

Answer:

x = \frac {3} {8}

4 0
3 years ago
Compute the probability of the event E1 that Bob wins in a duel against Eve alone, assuming he shoots first. (Hint: Let x be the
skad [1K]

Answer: Hello your question is incomplete attached below is the missing

n ( 1 + n )

Step-by-step explanation:

P( Bob hits target ) = 1/3

P( Eve hits target ) = 2/3

P( Carol hits target ) = 1

<u>Compute the P that Bob wins in a duel against Eve alone</u>

P(Bob hits the target in first shot ) = n = 1/3

P(Bob hits the target in second shot ) = n^2 = ( 1/3 * 1/3 ) = 1/9

hence the probability of Bob winning( i.e. P( Bob wins Event E1  ) = n + n^2 = n ( 1 + n )

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3 years ago
What is the midline equation for the function h(x)=−3cos(πx+2)−6?
Rus_ich [418]

Answer:

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Step-by-step explanation:

y=acos(bx+c)+d

d = -6  .. vertical shift

midline: y = -6

6 0
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Answer:

c. is the answer becuase since it is exterior they are talking about the outside of the parellel lines.

Step-by-step explanation:

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12:(3)(2)(2)
36:(3)(3)(2)(2)
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