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2 years ago

Find the twenty-seventh term of the arithmetic sequence 21, 18, 15, ...

Mathematics

1 answer:

leva [86]2 years ago

6 0

Answer: -57

Step-by-step explanation: 21, 18, 15, 12, 9, 6, 3, 0, -3, -6, -9, -12, -15, -18, -21, -24, -27, -30, -33, -36, -39, -42, -45, -48, -51, -54, -57

It is decreasing by 3 each turn. Therefore, the 27th term would be -57.

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2x2-3x-2=x+4 select all the solutions

Papessa [141]

Solve for x over the real numbers:2 x^2 - 3 x - 2 = x + 4
Subtract x + 4 from both sides:2 x^2 - 4 x - 6 = 0
The left hand side factors into a product with three terms:2 (x - 3) (x + 1) = 0
Divide both sides by 2:(x - 3) (x + 1) = 0
Split into two equations:x - 3 = 0 or x + 1 = 0
Add 3 to both sides:x = 3 or x + 1 = 0
Subtract 1 from both sides:Answer: x = 3 or x = -1

5 0

2 years ago

Solve.and show your work

Marysya12 [62]

Answer:

a) x > − 24 $\frac{3}{4}$

b) x < − 3

c) q < 56

Step-by-step explanation:

a) −2/5x−9<9/10

<=> 2/5x + 9 > − 9/10

<=> 2/5x > − 9/10 − 9

<=> 2×2/2×5x > − 9/10 − 9×10/10

<=> 4/10x > − 99/10

<=> x > − 99/4

<=> x > − 24 $\frac{3}{4}$

b) 4x+6<−6

<=> 4x < − 6 − 6

<=> 4x < − 12

<=> x < − 12/4

<=> x < − 3

c) q+12−2(q−22)>0

<=> q+12−2q −2×(−22)>0

<=> (q−2q) + (12+ 44) >0

<=> −q + 56 >0

<=> q < 56

8 0

2 years ago

Which expression is equivalent to 2x^2 +7x+4

rodikova [14]

Answer:

11x + 4

Step-by-step explanation:

First find 2 to the power of 2. Which is multiplying 2 by its self so 4x.

Then add the 4x to 7x which is 11x

Then since 4 doent have an x it cant be combined so thats the answer: 11x + 4

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2 years ago

Read 2 more answers

Find the inverse of y = x² + 3

eduard

Answer:

Step-by-step explanation:

$\sqrt\\ x-3$ and - $\sqrt{x-3$

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2 years ago

6.8 . 10^4 standard form

Yuri [45]

The answer would be 68000 you can find it easily by moving the decimal to the right if the exponent is positive if its negative move it to the left.

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3 years ago