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k0ka [10]
3 years ago
12

The sixth term is 22 and the common difference is 6. What is the fifteenth term?

Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
4 0
T_n = a_1+ d(n-1)

Given that d = 6 and 6th term is 22,
22 = a_1+ 6(6-1)
22 = a_1+ 30
a_1 = 22- 30
a_1 = -8

So the general equation is 
T_n = -8 + 6(n-1)
T_n = -8 + 6n-6
T_n =6n-14

When n = 15,
T_{15} = 6(15)-14
T_{15} = 136

Answer: 136




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Lena [83]

Answer:

Manufacturers has to produce 63 DVD/Blu-Ray players to achieve a minimum cost of $644

Step-by-step explanation:

The cost equation is given as:

C=0.04x^2-5x+800

This is a quadratic equation in general form, which is:

y=ax^2+bx+c

Matching, we can say:

a = 0.04

b = -5

c = 800

The minimum occurs at  x=-\frac{b}{2a}

and the minimum value would be to place that "x" value into the equation.

First, we find the minimum using values of a and b:

x=-\frac{b}{2a}=-\frac{-5}{2(0.04)}=\frac{5}{0.08}=62.5

Plugging this into original, we get:

C=0.04x^2-5x+800\\C=0.04(62.5)^2-5(62.5)+800\\C=643.75

Rounding off to nearest whole number, we can say:

Manufacturers has to produce 63 DVD/Blu-Ray players to achieve a minimum cost of $644

4 0
3 years ago
What’s the solution for 6(2m - 3) - 3m= 2m - 18 + m
katen-ka-za [31]

Answer:

12m-18-3m=2m+m-18

9m-18= 3m-18

9m-3m=18-18

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Step-by-step explanation:

5 0
3 years ago
What is the simplified slope for (3,2) and (5,12)
coldgirl [10]
To find Y intercept
You do y2-y1/ x2-x1
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Your x2 is 2 , x1 is 3
So 12-3/2-3
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9/-1 is -9
So your slope is -9
6 0
3 years ago
Read 2 more answers
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