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Serggg [28]
2 years ago
9

Please help me answer this question genius

Mathematics
1 answer:
kolbaska11 [484]2 years ago
7 0

Answer:

  x ∈ {-0.465, 1.014}

Step-by-step explanation:

The equation can be cast in the form f(x) = 0, and solved easily using a graphing calculator. That shows x ≈ -0.465 and x ≈ 1.014. The same calculator can iterate the roots to full calculator precision.

__

The equation can be made a quadratic by the substitution ...

  z = e^(2x)

Then we have ...

  2\cosh(2x)-\sinh(2x)=4\\\\2\cdot\dfrac{e^{2x}+e^{-2x}}{2}-\dfrac{e^{2x}-e^{-2x}}{2}-4=0\qquad\text{use exponential identities}\\\\2z+2z^{-1}-z+z^{-1}-8=0\qquad\text{multiply by 2, substitute z}\\\\z^2 -8z+3=0\qquad\text{multiply by z}\\\\z=\dfrac{8\pm\sqrt{(-8)^2-4(1)(3)}}{2(1)}=4\pm\sqrt{13}\\\\x=\dfrac{\ln(z)}{2}=\dfrac{\ln(4\pm\sqrt{13})}{2}\approx\{-0465133,1.014439\}

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Divide £56 in a ratio of 4:3
Kobotan [32]

÷you need to find how many parts there are ;    4 + 3 = <u>7</u>

you then need to divide the number by the parts ; £56  ÷  7   =  <u>£8</u>

<u />1 part = <u>£8</u>

<u />4:3, 4 parts : 3 parts.   

   4  x  £8   =  <u>£32</u>

   3  x   £8  =  <u>£24</u>

<u><em /></u><em>                                            <u>4:3</u></em><u /><u />     =     <em><u>£32:£24</u></em>

<em>to check your answer ;</em>

<em>add both parts of your final answer , £32 + £24  =   <u>£56</u></em><u><em></em></u>

7 0
3 years ago
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Someone please help me with this :,D
german

Answer:

A hostel has provision for 45 students for 30 days.If 15 more students joined the hostel after 6 days,how long will provision last?

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Solve for x. -6 = x – 35
shepuryov [24]

Answer:

The answer is x=29

Step-by-step explanation:

-6 = x – 35

=-6+35=x-35+35

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Perimeter of an isosceles triangle is 35 cm if the length of a the congruent sides is 3 times the length of the third side what
Dimas [21]

Let the length of the shortest side = x

The two longer sides that are equal = 3x

The are two equal longer sides, so their total is 3x + 3x = 6x

3x+ 3x + x= 35  Collect like terms on the left

7x = 35               Divide by 7  on both sides

x = 35/7

x = 5

Answer

Two long sides -- 15 cm each

Shortest side -- 5 cm

5 0
3 years ago
KarlaPurchase a swimsuit on Amazon the original price of the coat was 75.50 she use the coupon code to receive a 25% discount th
DochEvi [55]

Answer:

Step-by-step explanation:

The initial price of the swimsuit that Karla purchased at Amazon was 75.5

she use the coupon code to receive a 25% discount. This means that the value if the discount would be

25/100 × 75.5 = 0.25× 75.5 = 18.86

Therefore, the discounted price of the swimsuit is 75.5 - 18.875 = 56.625

The website applied a 10% service fee for the discount price. This means that the value of the service fee would be

10/100 × 56.625 = 0.1 × 56.625 = 5.6625.

The amount that Karla pays for the swimsuit would be

56.625 + 5.6625 = 62.2875

The difference between the original price and the price that Karla paid would be 75.5 - 62.2875 = 13.2125

The percentage by which the amount that Karla paid was lesser than the original price would be

13.2125/ 75.5 × 100 = 17.5%

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