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almond37 [142]
3 years ago
12

Can you find out the mean number of children per family in the UK

Mathematics
1 answer:
siniylev [52]3 years ago
4 0
There were 7.7 million families with dependent children in the UK in 2012, 1 in 7 of which had three or more dependent children. Married couples had a higher average number of dependent children in their family than other family types, at 1.8 children per family compared with 1.7 on average.
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What are the roots of the polynomial equation x^3-5x+5=2x^2-5? Use a graphing calculator and a system of equations. Round nonint
leonid [27]

The right answer is c. –2.24, 2, 2.24


This question needs to be solved in two ways. First, using a graphing calculator. Next, using a system of equations.


1. Using a graphing calculator.


We have the following polynomial equation:

x^3-5x+5=2x^2-5


By ordering this equation we have:

x^3-2x^2-5x+10=0


So, we can say that this equation comes from a function given by:

f(x)=x^3-2x^2-5x+10


Thus, by plotting this function, we have that the graph of this function is indicated in Figure 1. By zooming, we can see, in Figure 2, that the roots of the polynomial equation are the x-intercepts of f(x) which are:


x_{1}=-2.236 \\ \\ x_{2}=2 \\ \\ x_{3}=2.236


Finally, rounding noninteger roots to the nearest hundredth we have:


\boxed{Root_{1}=-2.24} \\ \\ \boxed{Root_{2}=2} \\ \\ \boxed{Root_{3}=2.24}


2. Using a system of equations.


The ordered equation is:

x^3-2x^2-5x+10=0


By arranging to factor out we have:

x^3-5x-2x^2+10=0


Then, by factoring:

x(x^2-5)-2(x^2-5)=0


Term (x^2-5) is a common factor, thus:


(x-2)(x^2-5)=0 \\ \\ (x-2)(x-\sqrt{5})(x+\sqrt{5})=0 \\ \\ Finally: \\ \\ \boxed{Root_{1}=-\sqrt{5}=-2.24} \\ \\ \boxed{Root_{2}=2} \\ \\ \boxed{Root_{3}=\sqrt{5}=2.24}

6 0
3 years ago
Read 2 more answers
A stone is thrown upward from ground level. With what minimum speed should the stone be thrown so as to reach a height of 49 fee
Sveta_85 [38]
The correct answer of the given question above would be 8ft/sec. The minimum speed that the stone be thrown so as to reach a height of 49 feet is 8ft/sec. Consider this given solution here:
u^2 = 2x a x 1 
<span>u^2 = 2 x 32 x 1 </span>
<span>u = 8 ft/sec
</span>Hope this answer helps and this is what you are looking for.
6 0
3 years ago
2.8x = -9.24<br><br>A. 12.04<br>B. -0.3030<br>C. -3.3<br>D. 12.04<br><br>Please helppp​
daser333 [38]
The answer of this problem is the letter C. -3.3
6 0
3 years ago
Read 2 more answers
What is the solution set for this inequality?<br> X/2 + 6 &gt; -4
Anastaziya [24]

Answer:

the answer to your question is x>-20 , I hope this helps :)

5 0
3 years ago
Read 2 more answers
How to solve V = 1/3 Ah for h
worty [1.4K]

Answer:

(3V)/A = h

Step-by-step explanation:

V = 1/3 Ah

Solve the literal equation using inverse operations;

V = 1/3 Ah

*3    *3

3V = Ah

/A     /A

(3V)/A  = h

7 0
3 years ago
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