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3 years ago

Find the 12th and 37th term for each arithmetic sequence.

Mathematics

1 answer:

shutvik [7]3 years ago

5 0

Answer:

3. f(12) = -10; f(37) = -60

4. f(12) = -102; f(37) = -352

Step-by-step explanation:

3. Put the numbers in the formula and do the arithmetic:

f(12) = 12 -2(12-1) = 12 -22 = -10

f(37) = 12 -2(37-1) = 12 -72 = -60

4. The explicit formula for an arithmetic sequence with first term a1 and common difference d is ...

an = a1 +d(n -1)

Your sequence has a first term a1=8 and a common difference d=-10.

As above, fill in the numbers and do the arithmetic.

f(12) = 8 -10(12 -1) = -102

f(37) = 8 -10(37-1) = -352

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Find the values of x and y. x + 7i = y − yi

lys-0071 [83]

Answer: X = y - yi - 7i

Y = (x + 7i)/(1 - i)

Step-by-step explanation: for the case of (X) you only need to pass the 7i to the other side with the subtraction sign (-7i), then we get this equation:

x + 7i = y − yi

X = y - yi - 7i

in the case of the (Y), first we select the common multiple.

y - yi = y(1 - i)

if we replace it in the original expression, we get the following equation:

x + 7i = y(1 - i)

after that you can pass the value (1 - i) to the other side dividing,

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6 0

3 years ago

Read 2 more answers

Alyn drives 20.4 miles in 17 minutes.

Galina-37 [17]

Answer:

12 mph

Step-by-step explanation:

Speed = distance/time

Distance = 20.4 miles
Time = 17 minutes = 17*1/60 hours = 17/60 hours

Speed is:

20.4 : 17/60 =
20.4*60/17 =
72 mph

Alyn exceeded the limit by:

72 - 60 = 12 mph

5 0

3 years ago

Which expressions are equivalent?

trapecia [35]

Only 3(a−b) and 3a−3b are equivalent

Further explanation:

We have to evaluate each expression to evaluate if the expressions are equivalent or not.

So,

For 3(a−b)

$3(a-b)\\Distributing\ 3\ in\ bracket\\3.a-3.b\\=3a-3b$

As we can see that 3(a-b) results in 3a-3b so these are equivalent

For 2a(2+b)

$2a(2+b)\\Distributing\ 2a\\2a.2+2a.b\\=4a+2ab$

As we can see that 2a(2+b) doesn't result in 4ab so these are not equivalent

Hence,

Only 3(a−b) and 3a−3b are equivalent

Keywords: Equivalent expression, Polynomials

Learn more about polynomials at:

#LearnwithBrainly

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3 years ago

Last saturday, marissa walked her dog 1 1/2 miles. Sally walked her dog 2 times far. How many miles total did both girls walk th

andriy [413]

Answer:

4.5 miles

Step-by-step explanation:

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2 years ago

Please explain in simple language how to complete the square.

dsp73

Answer:

Step 1 Divide all terms by a (the coefficient of x2).

Step 2 Move the number term (c/a) to the right side of the equation.

Step 3 Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.

Step-by-step explanation:

hope i helped

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3 years ago