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bearhunter [10]
3 years ago
11

Given the arithmetic sequence with the following two

Mathematics
1 answer:
kondor19780726 [428]3 years ago
8 0

Answer:

aₙ = -15 + 10 * (n-1)

Step-by-step explanation:

aₙ = a₁ + (n-1)*d       a₁: first term     d: common difference

a₅  a₁ + 4d =25 .... (1)

a₁₁  a₁ + 10d = 85   ...(2)

(2) - (1)     6d = 60

d = 10

a₁ = -15

Formula: aₙ = -15 + 10 * (n-1)

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Given the function f(x)=(x-2)(x+3)(2x+3), which set includes all of the zeros for the polynomial?
Marrrta [24]

Answer:

{2, -3, -3/2}

Step-by-step explanation:

hi! we can set each of the binomials equal to 0 to find the zeros of this polynomial.

x-2=0

x=2

x+3=0

x=-3

2x+3=0

2x=-3

x=-3/2

5 0
3 years ago
What are the domain restrictions of the function f(x) = the quantity of x squared plus 6x plus 9, all over 3x plus 15.
dangina [55]

Answer:

x = - 5

Step-by-step explanation:

Given

f(x) = \frac{x^2+6x+9}{3x+15}

The denominator of f(x) cannot be zero as this would make f(x) undefined. Equating the denominator to zero and solving gives the value that x cannot be.

solve : 3x + 15 = 0 ⇒ 3x = - 15 ⇒ x = - 5 ← excluded value

Domain x ∈ R , x ≠ - 5

6 0
3 years ago
) Every two out of three kids sang at the talent show. What percent of the kids did not sing at the talent show? (round)
SCORPION-xisa [38]

The answer is 33 percent

hope this helps!

4 0
2 years ago
Read 2 more answers
A box is x to inches high,(2x+3)inches wide, and (2x+5) of inches long. In terms of x, what is the volume (v) of the box?
Advocard [28]

Answer:

The volume of the box is V=(4x^3+16x^2+15x)\ in^3

Step-by-step explanation:

we know that

The volume of the box is equal to

V=LWH

where

L is the length of the box in inches

W is the width of the box in inches

H is the height of the box in inches

we have

L=(2x+5)\ in\\W=(2x+3)\ in\\H=x\ in

substitute in the formula

V=(2x+5)(2x+3)x

V=(4x^2+6x+10x+15)(x)

V=(4x^2+16x+15)(x)

V=(4x^3+16x^2+15x)\ in^3

6 0
3 years ago
What value of x is in the solution set of -2(3x + 2) > -8x + 6?
n200080 [17]

Answer:

x > 5

Step-by-step explanation:

Given that:

= -2(3x + 2) > -8x + 6

 (negative sign before bracket will alter the internal signs when multiplied by each term)

= -6x - 4 > -8x +6

Taking x terms on left side and other constants on right side

= -6x + 8x > 6 +4

Signs will be changer for transferred terms

= 2x > 10

By Dividing both sides 2 we get

=x > 10/2

= x >5

5 0
3 years ago
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