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3 years ago

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What is 4[2(21-17)+3]

1 answer:

vagabundo [1.1K]3 years ago

6 0

To solve this problem, we should understand how order of operations works. Perhaps the best way to show you this would be solving the problem with all of the work clearly labeled?

=4[2(21-17)+3] Original Problem
=4[2(4)+3] Solved the Parentheses
=4[8+3] Multiplied the 2 and 4
=4[11] Added the 8 and 3
=44 Multiplied the 4 and 11

An easy way to remember this is PEMDAS, which is an acronym for Parentheses, Exponents, Multiplication/Division, and Addition/Subtraction. Although it will not apply in this scenario (because we have brackets), it will come in handy for many others like this.

Using all of the information above, we can conclude that this expression equals 4.

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Answer:

The quadratic function whose graph contains these points is $y=-x^{2}-2x-2$

Step-by-step explanation:

We know that a quadratic function is a function of the form $y=ax^{2}+bx+c$ . The first step is use the 3 points given to write 3 equations to find the values of the constants <em>a</em>,<em>b</em>, and <em>c</em>.

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We can solve these system of equations by substitution

Substitute $c=-9a-3b-17$

$-9a-3b-17=25a+5b-17\\-9a-3b-17=-2$

Isolate a for the first equation

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Substitute $a=\frac{b}{2}$ into the second equation

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The solutions to the system of equations are:

b=-2,a=-1,c=-2

So the quadratic function whose graph contains these points is

$y=-x^{2}-2x-2$

As you can corroborate with the graph of this function.

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