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3 years ago

U(x)=x-1 W(x)=2x^2-2 (U.w)(1)= (W•u)(1)=

Mathematics

1 answer:

Kryger [21]3 years ago

8 0

Answer: I really don’t know lol

Step-by-step explanation:

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Rationalise the denominator of (12)/(\sqrt(10)+\sqrt(7)+\sqrt(3))

jasenka [17]

Answer:

$\frac{12}{\sqrt{10} +\sqrt{7} +\sqrt{3} }=\frac{6\sqrt{147} +6\sqrt{63}-6\sqrt{210} }{21 }$

Step-by-step explanation:

$\frac{12}{\sqrt{10} +\sqrt{7} +\sqrt{3} }$

$=\frac{12\left( \sqrt{10} -\left( \sqrt{7} +\sqrt{3} \right) \right) }{(\sqrt{10}+(\sqrt{7} +\sqrt{3 } ))( \sqrt{10} -( \sqrt{7} +\sqrt{3}))}$

$=\frac{12\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{\sqrt{10^2} -(\sqrt{7} +\sqrt{3})^2}$

$\frac{12\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{10-(10+2\sqrt{21} )} }$

$=\frac{12\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{-2\sqrt{21} }$

$=\frac{-6\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{\sqrt{21} }$

$=\frac{-6\left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{\sqrt{21} } \times\frac{\sqrt{21} }{\sqrt{21} }$

$=\frac{-6\sqrt{21} \left( \sqrt{10} -\sqrt{7} -\sqrt{3} \right) }{21 }$

$=\frac{-6\sqrt{210} +6\sqrt{147} +6\sqrt{63} }{21 }$

$=\frac{6\sqrt{147} +6\sqrt{63}-6\sqrt{210} }{21 }$

<u><em>Remark</em></u>:

You can simplify moreover if you want to.

5 0

2 years ago

The table below shows the process of solving using successive approximations. Continue this process to find the positive solutio

gregori [183]

We are going to continue the process; this time we are going to evaluate both functions at x=2.4:
For our first function:
$f(x)=2x-5$
$f(2.4)=2(2.4)-5$
$f(2.4)=4.8-5$
$f(2.4)=-0.2$

For our second function:
$g(x)= x^{2} -6$
$g(2.4)=(2.4)^2-6$
$g(2.4)=5.76-6$
$g(2.4)=-0.24$
To the nearest tenth:
$g(2-4)=-0.2$

We can conclude that the positive solution of our functions to the nearest tenth is $x=2.4$ .

6 0

3 years ago

Read 2 more answers

Explain how an estimate helps you to place the decimal point when multiplying 3.9 times 5.3

Alborosie

3.9 * 5.3 ≈ 4 * 5

≈20

Well after doing your multiplication, you can place your decimal point by knowing that from estimation the answer is around 20.

So you can place your decimal point after the first two digits from the left.

7 0

3 years ago

Read 2 more answers

On a string of red and blue lights, the red lights blink everyb3 seconds, and the blue lights blink every 5 seconds. How many ti

yuradex [85]

When will they blink together?
what is the smallest number they both mutiply to
3*5=15
so every 15 seconds
so at 15, 30, 45, 60 seconds
so 4 times if you count the time exactly at 1 minute

5 0

3 years ago

Find the area of the trapezoid with bases 12 cm and 14 cm and height 9 cm

Cerrena [4.2K]

Answer:

117

Step-by-step explanation:

b1+b2÷2×h is the formula.

Just fill in the formula with the numbers you have.

12+14=26

26÷2=13

13×9=117

3 0

3 years ago