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2 years ago

Complete the table of values for the function f(x)=-x^2+8x-2

Mathematics

1 answer:

Kipish [7]2 years ago

6 0

Answer:

f(1) = 7

f(2) = 18

f(3) = 31

f(4) = 46

f(5) = 63

f(6) = 82

f(7) = 103

f(8) = 126

f(9) = 151

f(10) = 178

Step-by-step explanation:

f(1) = (-1)^2+8(1)-2 = 7

Continue plugging in values...

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What is the 4th term of the expanded binomial (2x – 3y)^6

san4es73 [151]

Answer:

The 4th term of the expanded binomial is $-4320x^3y^3$

Step-by-step explanation:

Considering:

$(x+y)^n = \sum_{k=0}^{n} \binom{n}{k} x^{n-k}y^k$

$(2x-3y)^6 = \sum_{k=0}^{6} \binom{6}{k} (2x)^{6-k}(-3y)^k$

Now, you gotta calculate for every value of $k$

$(2x-3y)^6 = \binom{6}{0} (2x)^{6-0}(-3y)^0 + \binom{6}{1} (2x)^{6-1}(-3y)^1 + \binom{6}{2} (2x)^{6-2}(-3y)^2 + \\$

$\binom{6}{3} (2x)^{6-3}(-3y)^3 + \binom{6}{4} (2x)^{6-4}(-3y)^4 + \binom{6}{5} (2x)^{6-5}(-3y)^5 + \binom{6}{6} (2x)^{6-6}(-3y)^6$

I will not write every product, but just solve following the steps:

For $k=0$

$\binom{6}{0} (2x)^{6-0}(-3y)^0$

$\frac{6!}{(6-0)!(0!)} (2x)^{6-0}(-3y)^0$

$\frac{6!}{6!} \left(2x\right)^{6-0}\cdot 1$

$1\cdot \:1\cdot \left(2x\right)^{6-0}$

$2^6x^6$

$64x^6$

$(2x-3y)^6=64x^6-576x^5y+2160x^4y^2-4320x^3y^3+4860x^2y^4-2916xy^5+729y^6$

8 0

3 years ago

Help!! I'm confused and need help quick!

sergejj [24]

Option 4 with the y-intercept at (0,-3)

4 0

3 years ago

Read 2 more answers

87.2 - 25.9 = 87.2 - ___ = 61.2 ___ + 0.1 = ___

Ganezh [65]

87.2 - 25.9 = 87.2 - 26 = 61.2 + 0.1 = 61.3

8 0

3 years ago

Help pls!!!!!!!!!!!!!!!!

Anastaziya [24]

ANSWER.

The correct answer is Option A

EXPLANATION.

The real number

$\sqrt{35}=5.916079783$

to 9 decimal places.

You can see that the decimals are not repeating, neither will they terminate.

Therefore the real number $\sqrt{35}$ is irrational because, the decimal does not terminate or repeat

Also note that,

$\sqrt{35}=\sqrt{5} \times \sqrt{7}$ .

That is,

$\sqrt{35}$ is a product of two irrational numbers, which still gives an irrational number.

8 0

3 years ago

Plz answer only if u know ur correct. tyvm. will give brainliest to best answer

N76 [4]

Slope is 1/2. Give brainly or I wont answer another one of your questions

5 0

3 years ago

Read 2 more answers