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1 year ago

If f(x) = 3x² and g(x)=2x-3, find f(g(x)).

Mathematics

1 answer:

aev [14]1 year ago

3 0

Answer: 36/24=18/12=9/6= or 1 1/3

Step-by-step explanation:

plug g(x) into f(x) then follow f(x) by 3(2x-3)^2 this foils out to be

36 plus or minus sqrt (36)^2-4(12)(270) over 24

the variables in the square root cancel so your left with 36/24 and in its simplest form its 1 1/3

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Find the 43rd term of the sequence<br><br> -3.0,-2.5,-2.0,-1.5

Nana76 [90]

Answer:

19.5

Step-by-step explanation:

The 43rd term of the sequence is 19.5

6 0

3 years ago

Someone please help!!

rewona [7]

Answer:

Option 2: (1,0) is the correct answer

Step-by-step explanation:

Given inequality is:

y>-5x+3

In order to find which point is solution to the given inequality we'll put the point one by one in the inequality. If the point satisfies the inequality, then the point is the solution of the inequality.

Putting (0,3) in inequality

$3 > -5(0)+3\\3>0+3\\3>3$

Putting (1,0) in inequality

$0>-5(1)+3\\0>-5+3\\0>-2$

Putting (-3,1) in inequality

$1 > -5(-3)+1\\1> 15+1\\1>16$

Putting (-1,-2) in inequality

$-2>-5(-1)+3\\-2>5+3\\-2>8$

The inequality is true for (1,0)

Hence,

Option 2: (1,0) is the correct answer

4 0

3 years ago

Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep safe. Since Dr. Jones is a math

alex41 [277]

Answer: $\frac{8}{3}\times \sqrt{\frac{2}{5}}$

Step-by-step explanation:

Given two upward facing parabolas with equations

$y=6x^2 & y=x^2+2$

The two intersect at

$6x^2=x^2+2$

$5x^2=2$

$x^2$ = $\frac{2}{5}$

x= $\pm \sqrt{\frac{2}{5}}$

area enclosed by them is given by

A= $\int_{-\sqrt{\frac{2}{5}}}^{\sqrt{\frac{2}{5}}}\left [ \left ( x^2+2\right )-\left ( 6x^2\right ) \right ]dx$

A= $\int_{\sqrt{-\frac{2}{5}}}^{\sqrt{\frac{2}{5}}}\left ( 2-5x^2\right )dx$

A= $4\left [ \sqrt{\frac{2}{5}} \right ]-\frac{5}{3}\left [ \left ( \frac{2}{5}\right )^\frac{3}{2}-\left ( -\frac{2}{5}\right )^\frac{3}{2} \right ]$