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prohojiy [21]
3 years ago
13

Which expression is equivalent to -0.8(10.8x-20+3.2x)

Mathematics
1 answer:
klemol [59]3 years ago
6 0
-0.8* 10.8x= -8.64x
-0.8* -20=  16
-0.8* 3.2x =-2.56x

so it is equivalent to the expression -8.64x+16-2.56x but add like terms so it becomes -8.64x-2.56x+16. The final answer is -11.2x=16

Rate and Thanks!
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3 years ago
F(x)=x^2-3x+18 how many distinct real number zeros does f have?
vampirchik [111]

Answer:

None of the distinct real number zeros the function have.

Step-by-step explanation:

Considering the function

f(x)=x^2-3x+18

The zeroes of a function are those values that touches the x-axis. In order to find those values we must

Set  f(x) = 0 in order to find those values

0=x^2-3x+18

\mathrm{Switch\:sides}

x^2-3x+18=0

\mathrm{Solve\:with\:the\:quadratic\:formula}

\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}

x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

\mathrm{For\:}\quad a=1,\:b=-3,\:c=18:\quad x_{1,\:2}=\frac{-\left(-3\right)\pm \sqrt{\left(-3\right)^2-4\cdot \:1\cdot \:18}}{2\cdot \:1}

x=\frac{-\left(-3\right)+\sqrt{\left(-3\right)^2-4\cdot \:1\cdot \:18}}{2\cdot \:1}

x=\frac{3+\sqrt{\left(-3\right)^2-4\cdot \:1\cdot \:18}}{2\cdot \:1}

As

3+\sqrt{\left(-3\right)^2-4\cdot \:1\cdot \:18}=3+\sqrt{63}i

so

x=\frac{3+\sqrt{63}i}{2\cdot \:1}

x=\frac{3+3\sqrt{7}i}{2}

x=\frac{3}{2}+\frac{3\sqrt{7}}{2}i

Similarly,

x=\frac{-\left(-3\right)-\sqrt{\left(-3\right)^2-4\cdot \:1\cdot \:18}}{2\cdot \:1}:\quad \frac{3}{2}-i\frac{3\sqrt{7}}{2}

\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}

x=\frac{3}{2}+i\frac{3\sqrt{7}}{2},\:x=\frac{3}{2}-i\frac{3\sqrt{7}}{2}

BUT, NONE OF THEM ARE REAL NUMBER ZEROS.

Therefore, none of the distinct real number zeros the function have.

5 0
4 years ago
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