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nikdorinn [45]
3 years ago
7

Find the 7th term of the arithmetic sequence -5x-8,-x-14,3x-20,...

Mathematics
1 answer:
klemol [59]3 years ago
8 0
A₁ = -5x-8;  a₂ = -x-14; a₇=?

d = a₂ - a₁
  = x-14 - (-5x-8)
  = -x - 14 + 5x + 8
  = 4x-6

a(n) = a₁ + (n-1)d

a₇ = -5x-8 + (7-1)(4x-6)
    = -5x-8 + 6(4x-6)
    = -5x - 8 + 24x - 36
    = 19x - 44
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Consider the logarithms base 5. For each logarithmic expression below, either calculate the value of the expression or explain w
Tom [10]

Answer:

log₅(3125) = 5

Step-by-step explanation:

Given:

log₅(3125)

Now,

using the property of log function that

logₐ(b) = \frac{\log(b)}{\log(a)}

thus,

Therefore, applying the above property, we get

⇒ \frac{\log(3125)}{\log(5)}   (here log = log base 10)

now,

3125 = 5⁵

thus,

⇒  \frac{\log(5^5)}{\log(5)}

Now,

we know from the properties of log function that

log(aᵇ) = b × log(a)

therefore applying the above property we get

⇒ \frac{5\log(5)}{\log(5)}

or

⇒ 5

Hence,

log₅(3125) = 5

8 0
3 years ago
What’s the correct answer
Trava [24]
I think it’s B but I’m not sure
6 0
3 years ago
What is 1/8-10(3/4-3/8x)+5/8x
cluponka [151]

Answer:

x = 59/35

Step-by-step explanation:

<u>Step 1:  Distribute</u>

1/8 - 10(3/4 - 3/8x) + 5/8x

1/8 - 30/4 + 30/8x + 5/8x

<u>Step 2:  Combine like terms</u>

1/8 - 30*2/4*2 - 30/8x + 5/8x

1/8 - 60/8 + 35/8x

-59/8 + 35/8x

<u>Step 3:  Solve for x</u>

-59/8 + 35/8x + 59/8 = 0 + 59/8

35/8x * 8/35 = 59/8 * 8/35

x = 59/35

Answer:  x = 59/35

4 0
3 years ago
Helpppp meee plsssss
Sholpan [36]

Answer:

B

Step-by-step explanation:

1/6x+ 4/6x = -4/6

5/6x= -4/6

x=( -4/6)/ (-5/6)

x= 4/5

8 0
2 years ago
Geometry help. If x is the image of U under a dilation centered at P, what is the scale factor.
kupik [55]
A dilation pushes all points outwards, a factor of 2 would double the distance (in this case the point V)
every further step is then also an increase of the factor so
1->U (nothing changes)
2->V
3->W
4->X

so the correct answer is 4
4 0
2 years ago
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