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3 years ago

If f(x)=3x^(2)+1 and G(x)=2x-3 what would f(f(x))

Mathematics

2 answers:

Ostrovityanka [42]3 years ago

6 0

Answer:

f(f(x)) = 27 $x^{4}$ + 18x² + 4

Step-by-step explanation:

To find f(f(x)) substitute x = f(x) into f(x) , that is

f(3x² + 1)

= 3(3x² + 1)² + 1 ← expand parenthesis using FOIL

= 3(9 $x^{4}$ + 6x² + 1) + 1 ← distribute parenthesis by 3

= 27 $x^{4}$ + 18x² + 3 + 1 ← collect like terms

= 27 $x^{4}$ + 18x² + 4

shusha [124]3 years ago

3 0

Hello,

$(fof)(x)=f(f(x))\\\\=3(3x^2+1)^2+1\\\\=3(9x^4+6x^2+1)+1\\\\\boxed{=27x^4+18x^2+4}$

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A car travels at an average speed of 90 km per hour.

lys-0071 [83]

9514 1404 393

Answer:

270 km

Step-by-step explanation:

Distance is related to speed and time by ...

distance = speed · time

distance = (90 km/h)(3 h) = 270 km

The car will travel 270 km in 3 hours.

8 0

3 years ago

Four friends each bought a movie ticket and two boxes of candy at a movie theater. The tickets were $ 7.50 and the boxes of cand

Angelina_Jolie [31]

Subtract the cost of tickets from the total. 4x7.5=30. 58-30=28. Eight boxes of candy were purchased in total. Use c to represent candy. 8c=28. Finally, divide both by 8. 28/8= 3.5. The answer is $3.50.

4 0

3 years ago

Read 2 more answers

A recent article in The Wall Street Journal compared the cost of adopting children from China with that of Russia. For a sample

denpristay [2]

Answer:

We can conclude the mean cost is larger for adopting children from Russia.

Step-by-step explanation:

To answer this question we can perform an hypothesis testing on the differences of the means with the following null and alternative hypothesis:

$H_0: \mu_1\leq\mu_2\\\\H_1: \mu_1>\mu_2$

The significance level we assume is 0.05.

First we calculate the mean standard error:

$MSE=\frac{SSE}{df}=\frac{n_1\sigma_1^2+n_2\sigma_2^2}{(n_1-1)+(n_2-1)} =\frac{16*835^2+18*1545^2}{16-1+18-1} =1,691,314$

The harmonic mean of the sample sizes is:

$n_h=\frac{2}{1/n_1+1/n_2}=\frac{2}{0.0625+0.0556}=\frac{2}{0.1181}=16.94$

Then we can calculate the estimated standard deviation as:

$\sigma=\sqrt{\frac{2MSE}{n_h} } =\sqrt{\frac{2*1691314}{16.94} } =447$

The t-statistic can be calculated as:

$t=\frac{\Delta M-\Delta \mu}{\sigma}=\frac{(11045-12840)-0}{447} =\frac{-1795}{447}= -4.015$

The degrees of freedom are $df=n_1+n_2-2=18+16-2=32$ .

We can look up the P-value in a table or applet. For t=-4.015 and df=32, the P-value is 0.00017.

The P-value is smaller than the significance level, so the effect is significant and the null hyphotesis (China cost is equal or less than in Russia) is rejected.

We can conclude the mean cost is larger for adopting children from Russia.

4 0

3 years ago

Solve this inequality: 4.2x+5.6<7.2-8.3x please give the steps.

podryga [215]

Answer:

$x$