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Margaret [11]
3 years ago
7

F(x) = x2 What is g(x)?

Mathematics
1 answer:
Ivahew [28]3 years ago
4 0

Answer:

C

Step-by-step explanation:

The graph is 5x^2. Hence the option C is correct

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Round the $40435.29 to the nearest thousand dollar
Tanya [424]

Answer:

$40000

Step-by-step explanation:

The nearest thousand dollar is rounding the thousand value from its hundred value, which in this case is 4. Since 4 is less than half of 10, the thousand value must round down to $40000.

5 0
3 years ago
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Use De Moivre's theorem to write the complex number in trigonometric form: (cos(3pi/5) + i sin (3pi/5))^3
docker41 [41]

By De Moivre's theorem,

\left(\cos\dfrac{3\pi}5+i\sin\dfrac{3\pi}5\right)^3=\boxed{\cos\dfrac{9\pi}5+i\sin\dfrac{9\pi}5}

We can stop here ...

# # #

... but we can also express these trig ratios in terms of square roots. Let x=\dfrac\pi5 and let c=\cos x. Then recall that

\cos5x=c^5-10c^3\sin^2x+5c\sin^4x

\cos5x=c^5-10c^3(1-c^2)+5c(1-2c^2+c^4)

\cos5x=16c^5-20c^3+5c

On the left, 5x=\pi so that

16c^5-20c^3+5c+1=(c+1)(4c^2-2c-1)^2=0

Since c=\cos\dfrac\pi5\neq1, we're left with

4c^2-2c-1=0\implies c=\dfrac{1+\sqrt5}4

because we know to expect \cos x>0. Then from the Pythagorean identity, and knowing to expect \sin x>0, we get

\sin x=\sqrt{1-c^2}=\sqrt{\dfrac58-\dfrac{\sqrt5}8}

Both \cos and \sin are 2\pi-periodic, so that

\cos\dfrac{9\pi}5=\cos\left(\dfrac{9\pi}5-2\pi\right)=\cos\left(-\dfrac\pi5\right)=\cos\dfrac\pi5

and

\sin\dfrac{9\pi}5=\sin\left(-\dfrac\pi5\right)=-\sin\dfrac\pi5

so that the answer we left in trigonometric form above is equal to

\cos\dfrac\pi5-i\sin\dfrac\pi5=\boxed{\dfrac{1+\sqrt5}4+i\sqrt{\dfrac58+\dfrac{\sqrt5}8}}

7 0
3 years ago
What are 3 ways to solve 12×15 math problems
Georgia [21]

Answer:

1- Do 12 times 5 and then 12 times 10. add the sums together

2-Do 15 times 2 and then 15 times 10. Add the sums together

3-You could split 12 in half to get two 6s. Do 15 times 6 and multiply the product by 2 to get your answer

Step-by-step explanation:

7 0
4 years ago
Read 2 more answers
Solve for x 5x2-4x=6
azamat

Answer:

1

Step-by-step explanation:

5x2 is 10 subtract that and add it to 6 which gives you -4 then you do -4/-4 which is 1

6 0
3 years ago
Expand the brackets 5(2x + 3)
zimovet [89]

Answer:

10x+15

Step-by-step explanation:

5 x 2x=10x

5x3=15

5 0
3 years ago
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