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Andrei [34K]
2 years ago
14

Can someone pleaseeee help and if you’re correct I’ll give u brainlist!

Mathematics
1 answer:
Sliva [168]2 years ago
8 0

Answer:

3

Step-by-step explanation:

6/2=3

6/2=3

3/1=3

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Find the first three terms in the expansion , in ascending power of x , of (2+x)^6 and obtain the coefficient of x^2 in the expa
Nataly_w [17]

Answer:

The first 3 terms in the expansion of (2 + x)^{6} , in ascending power of x are,

64 , 192 \times x^{1} {\textrm{  and  }}240 \times x^{2}

coefficient of x^{2} in the expansion of (2+x - x^{2})^{6} = (240 - 192) = 48

Step-by-step explanation:

(2+x)^{6}

= \sum_{k=0}^{6}(6_{C_{k}} \times x^{k} \times 2^{6 - k})

= 6_{C_{0}} \times x^{0} \times 2^{6}  + 6_{C_{1}} \times x^{1} \times 2^{5} + 6_{C_{2}} \times x^{2} \times 2^{4} + terms involving higher powers of x

= 64 + 192 \times x^{1} + 240 \times x^{2} + terms involving higher powers of x

so, the first 3 terms in the expansion of (2 + x)^{6} , in ascending power of x are,

64 , 192 \times x^{1} {\textrm{  and  }}240 \times x^{2}

Again,

(2+x - x^{2})^{6}

= \sum_{k=0}^{6}(6_{C_{k}} \times (2 + x)^{k} \times (-x^{2})^{6 - k})

Now, by inspection,

the term x^{2} comes from k =5 and k = 6

for k = 5, the coefficient of  x^{2}  is , (-32) \times 6 = -192

for k = 6 , the coefficient of x^{2} is, 6_{C_{2}} \times 2^{4} = 240

so,   coefficient of x^{2} in the final expression = (240 - 192) = 48

3 0
3 years ago
An object’s volume is 0.12 kL. What is its volume in liters?
mrs_skeptik [129]

Answer:

120L

Step-by-step explanation:

Given quantity;

    0.12kL to L

Solution:

Convert the given quantity to Liters;

      1000L  = 1kL

So.

        1kL gives 1000L

        0.12kL will be 1000 x 0.12  = 120L

3 0
3 years ago
You order the hardcover book shown from a website that offers free shipping on orders of $25 or more. Write and solve an inequal
jenyasd209 [6]

Answer:

If P= price of the hardcover book, then

We have to spend $25-P, if P<$25; or $0 if P>= $25

Step-by-step explanation:

Lets call P the price of the hardcover book, in $. We can suppose that P is less than 25, otherwise we shoudnt spend on anything else to get the free shipping. If X is the amount that we have to spend to reach 25, then we get that P+X = 25. If P is known, we can obtain X by substracting P in both sides, therefore

X = 25-P

We conclude that if the price of the book P is less than 25, then we have to spend $25-P. Otherwise we have to spend 0.

6 0
3 years ago
Write and equation in slope intercept form for the line with the slope 3/5 and y intercept -3
bogdanovich [222]

Answer:

y = 3/5x + (-3)

Step-by-step explanation:

because slope intercept form is y = mx + b

and m = 3/5

and b = -3

so you plug them in to the formula and there's your answer

3 0
3 years ago
Jerry borrow $35,00 for 3 years at 7 1/2% simple interest rate how much interest rate he have to pay​
gregori [183]

Answer:

787.50

Step-by-step explanation:

interest=principle*rate*time/100

interest=3500*7.5*3/100

interest=35*7.5*3

interest=787.50

8 0
3 years ago
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