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jasenka [17]
3 years ago
5

Consider the quadratic function f (x) = x2 - 5x + 6. What does b = ?

Mathematics
2 answers:
vaieri [72.5K]3 years ago
8 0

Answer:

b is the coefficient of the middle term. In this case, -5

Step-by-step explanation:

In a linear equation, the function is in the form of y=mx+b  

In a linear equation <u>m</u> is the slope. <u>b</u> is a constant, and it is the y-intercept.

f(x) represents the "y" value obtained when a given number is plugged in to x.

In a quadratic equation, (and it would be helpful to insert a carat ^ [shift + 6] before the exponent so it is clear)

the form is ax^{2} +bx +c  a and b are the coefficients. if none, "1" is understood.

the exponent will determine the shape of the parabola.

The b will determine how far to the left or right the parent graph is transformed. ( divide by 2 and use the opposite sign)

but the c is a constant and still indicates the y-intercept.

Rashid [163]3 years ago
3 0

A quadratic function is represented as ax² + bx + c. In this case, if you look at the coefficient of x, you'll see that b = -5.

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Julio and his friends go to the movies on 3 different nights . The first night they purchase 4 bags of popcorn and 6 sodas at a
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Answer

The answer is that is would cost $  to buy 3 bags of popcorn and 4 sodas.

Step-by-step explanation:

To answer this question you will set up a system of equations to represent each scenario.  Solve for one variable and substitute that in to the other equation to find the missing value.  This example will have you solving for p, the price of popcorn or s for the price of soda.

The equation for the first night would look like where p is popcorn and s is soda:

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The equation for the second night would look like where p is popcorn and s is soda:

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so first you'd solve the first equation and it would look like this:

4p + 6s = 32.70

-4p       -4p         *minus 4p from both sides*

6s = -4p + 32.70

/6       /6              *divided by 6 on both sides*

s = 5.45 − 2/3p

Then put (-2/3p + 5.45) into the second equation for S. Then solve which will look like this:

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3/3*

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*simplify terms*

2p ⋅ 3 - 8/3p + 21.8 = 19.3

−2/3p + 21.8 = 19.3

          - 21.8   - 21.8

-2/3p = -2.5

/(-2/3)   /(-2/3)

p = 3.5  

The price of popcorn is 3.50 and the soda is  5.45 − 2/3(3.5) *filling in 3.50 for P* which equals 3.11

So 3 bags of popcorn and 4 sodas will cost 22.94.

my answer my not be right but the process is. so try to go through it yourself.

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Answer:

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Step-by-step explanation:

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