Identify the 42nd term of an arithmetic sequence where a1 = -12 and a27 = 66

Answers

Answer 1

Answer: The arithmetic formula is expressed as an = a1 + d *(n-1)where n is an integer. Substituting from the given a1 = -12 and a27 = 66, 66 = -12 + d *(27-1). hence , d is equal to 3. a42 thus using the formula is equal to 111. The final answer to this problem is 111.

Answer 2

Answer:

Answer:

42nd term is 111

Step-by-step explanation:

$a_1=-12,a_(27)=66$

Now, Using formula of nth term of an A.P. we have :

$a_n=a+(n-1)* d\n\text{Take n=27}\n\implies a_(27)=-12+(27-1)* d\n\implies 66=-12+26\cdot d\n\implies 26\cdot d = 78\n\implies d = 3$

Now, first term a = -12 , n = 42 and d = 3

So, 42nd term is :

$a_(42)=-12+(42-1)* 3\n\implies a_(42)=-12+41* 3\n\implies a_(42)=-12+123\n\bf\implies a_(42)=111$

Hence, 42nd term is 111

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Help ASAP!!! With my math studyisland!!

Answers

D hope that helps!!!!!!!!!!!!!!!!

5x+y=2 2x3y=62
whatn is x and y

Answers

5x + y = 2 ⇒ 10x + 5y = 4
2x + 3y = 62 ⇒ 10x + 15y = 310
         -10y = -306
      -10 -10
   y = -30.6
      5x - 30.6 = 2
   +30.6 +30.6
      5x = 32.6
   5 5
      x = 6.52
   (x, y) = (6.52, -30.6)

ok sure!
first we have to find y

so...
lets start with the first one:

5x+y=2 (we cannot have two variables together so:
5x+y=2
-y =-y so.. now we have 5x= 2-y (but we must get y positive and by itself!)
-2 = -2
so: now you have
5x-2=-y but need a positive variable so multiply each side by a (-1)
(-1) 5x-2=-y (-1) So..
-5x +2 =y so now we know Y!
therefore whenever you see why in the next problem insert in its place: -5x +2

I hope it helps!! :)

Two sides of a triangle have lengths 10 and 15 what must be true about length of the third side

Answers

x - length of the 3rd side
$10+15>x \wedge 10+x>15 \wedge 15+x>10\n x<25 \wedge x>5 \wedge x>-5\n x\in(5,25)$

Jennifer is buying party supplies. She is planning on buying twice as many balloons as noisemakers. The number of napkins Jennifer is planning on buying is one-quarter of the number of noisemakers. If Jennifer buys 65 items, how many noisemakers does Jennifer buy? Write and solve an equation using a variable for this problem. <3

Answers

Answer:

808 over 25 as a faraction

Step-by-step explanation

a quarter of 65 is 16 4 over 25

16 4 over 25 times 2 808 over 25 as a fraction

Given the function f (x) = 8x2 - 14x – 10, find f -2).

Answers

Remember from now on ;

If the value of f(x) is asked, we put what thing written in parentheses inside the function instead of x. It doesn't different what is written, we just have to replace it with x.

Got it ?

Now Let's do it .....

$f( x) = 8 {x}^(2) - 14x - 10$

$f( - 2) = 8({ - 2})^(2) - 14( - 2) - 10 \n$

$f( - 2) = 8 * 4 + 28 - 10$

$f( - 2) = 32 + 28 - 10$

$f( - 2) = 60 - 10$

$f( - 2) = 50$

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And we're done...

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Evaluate the following y^2-5y+2

Answers

If y = 3, then you substitute 3 into wherever it says y.

So the original:
y² - 5y + 2

becomes:
3² - 5×3 + 2.

which is:
9 - 15 + 2.

9 - 15 = -6
-6 + 2 = -4.

-4 is the answer.

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