$\bf \begin{cases} 3x^2+y^2=4\\[-0.5em] \hrulefill\\ x^2+y=5\implies \boxed{y}=5-x^2 \end{cases} \\\\\\ \stackrel{\textit{substituting \boxed{y} in the 1st equation}}{3x^2+\left( \boxed{5-x^2} \right)^2=4}\implies 3x^2+25-10x^2+x^4=4 \\\\\\ x^4-8x^2+21=0\impliedby \begin{array}{llll} \textit{the degree of this polynomial}\\ \textit{is 4, and by the fundamental}\\ \textit{theorem of algebra, it can}\\ \textit{have \boxed{4} solutions at most} \end{array}$

7 0

4 years ago

42 divided by 4 and 67 divided by8

Bezzdna [24]

10.5 and 8.4 ......................,,,,,

6 0

3 years ago

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There are 7 Democrats and 6 Republicans on a local city council. A planning committee of 6 for affordable housing needs to be

Brut [27]

Answer:

The probability is $0.383$ .

Step-by-step explanation:

There are 7 democrats and 6 republicans

Number of ways in which 4 democrats and 2 republicans can be selected= ${}^{7}{{C}_{4}}\times {}^{6}{{C}_{2}}$

Number of ways in which 5 democrats and 1 republican can be selected= ${}^{7}{{C}_{5}}\times {}^{6}{{C}_{1}}$

Number of ways in which 6 democrats can be selected = ${}^{7}{{C}_{6}}$

So, favourable outcomes are ${}^{7}{{C}_{4}}\times {}^{6}{{C}_{2}}+{}^{7}{{C}_{5}}\times {}^{6}{{C}_{1}}+{}^{7}{{C}_{6}}$

Total possible outcomes = ${}^{13}{{C}_{6}}$

Now, probability= $\frac{Favourable}{Possible}=\frac{{}^{7}{{C}_{4}}\times {}^{6}{{C}_{2}}+{}^{7}{{C}_{5}}\times {}^{6}{{C}_{1}}+{}^{7}{{C}_{6}}}{{}^{13}{{C}_{6}}}=0.383$

Learn more about probability:

brainly.com/question/2561151?referrer=searchResults

7 0

3 years ago

Find the range of the data set 7,510,9,15,12,6,9,7,10

Blizzard [7]

Answer: 10

Step-by-step explanation:

So to find range you take the highest number and subtract it by the lowest

3 0

2 years ago

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