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drek231 [11]
2 years ago
7

Find f(–2) for the function f(x) = 3x2 – 2x 7. −13 −1 1 23

Mathematics
1 answer:
pickupchik [31]2 years ago
8 0

Answer:

16

Step-by-step explanation:

f ( x ) = 3x² - 2x

To find : f ( - 2 )

f ( - 2 ) = f ( x )

Here,

x = - 2

f ( - 2 ) = 3 ( - 2 )² - 2 ( - 2 )

           = 3 ( 4 ) - 2*( - 2 )

           = 3*4 + 4

           = 12 + 4

f ( - 2 ) = 16

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Step-by-step explanation:

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3 years ago
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In simplest radical form, what are the solutions to the quadratic equation 6 = x2 – 10x?
vichka [17]

Answer:

x = 5+\sqrt{31}\,\, and\,\, x=5-\sqrt{31}

Step-by-step explanation:

We need to solve the quadratic equation

6 = x^2 -10x

Rearranging we get,

x^2-10x-6=0

Using quadratic formula to solve the quadratic equation

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

a= 1, b =-10 and c=6

Putting values in the quadratic formula

x=\frac{-(-10)\pm\sqrt{(-10)^2-4(1)(-6)}}{2(1)}\\x=\frac{10\pm\sqrt{100+24}}{2}\\x=\frac{10\pm\sqrt{124}}{2}\\x=\frac{10\pm\sqrt{2*2*31}}{2}\\x=\frac{10\pm\sqrt{2^2*31}}{2}\\x=\frac{10\pm2\sqrt{31}}{2}\\x = 5\pm\sqrt{31}

So, x=5+\sqrt{31}\,\, and\,\, x=5-\sqrt{31}

3 0
3 years ago
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Solve the inequality for x: -3(2x+5) < -45
balandron [24]

Answer:

x>5

Step-by-step explanation:

-3(2x+5)<-45

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2x+5<15

2x<15-5

2x<10

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7 0
3 years ago
Why do two negatives equal a positive when adding?
alex41 [277]
Two negatives <em>do not </em>equal a positive when adding. If you're in debt and you add more debt, does that get you out of debt?

Two negatives <em>do </em>equal a positive when you're multiplying them together though. This makes sense if you imagine multiplication as squishing or stretching a particular number on the number line. For example, imagine multiplying 2 x 1/2 as <em>squishing </em>the number 2 two times closer to 0. When you multiply 2 by a negative number, say, -1, you squish it so far down that you <em>flip it to the negative side of the number line</em>, bringing it to -2. You can imagine a similar thing happening if you multiply a number like -4 by -2. You squish -4 down to zero, and then <em>flip it to the positive side</em> and stretch it by a factor of 2, bringing it to 8.
4 0
3 years ago
Which of the following is parallel to the line =6x + 1
andrey2020 [161]
Try this option:
common equation for line is y=kx+b, where k=tgα, b-number.
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answer: y₁=6x+b₁
3 0
3 years ago
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