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OlgaM077 [116]
3 years ago
6

Find an equation for the nth term of the arithmetic sequence. -17, -14, -11, -8, ...

Mathematics
2 answers:
igomit [66]3 years ago
7 0
Common difference (d) = - 14-(-17)

d = -14+17
d = 3...

Tn = -17+(n-1)3

Tn = - 17+3(n-1)

Option a is correct.....
ValentinkaMS [17]3 years ago
3 0

Answer: a_n=-17+3(n-1)

Step-by-step explanation:

Given : Arithmetic sequence : -17, -14, -11, -8, ...

Here the first term , a_1=-17

Common difference : d=-14-(-17)=3

The formula to find the nth term is given by :-

a_n=a_1+d(n-1)

i.e.  a_n=-17+3(n-1)

Hence, the equation for the nth term of the arithmetic sequence :-

a_n=-17+3(n-1)

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Marlon earned $8.50 per hour plus an additional $80 in tips waiting tables on Saturday. He earned at least $131 in all. If h rep
ella [17]

Answer:

<h2>8.50h + 80 ≥131</h2>

Step-by-step explanation:

The answer is not in the option

Step one:

given data:

we are told that the hourly earning= $8.50

then additional tip=$80

total earnings=$131.

Step two:

the linear function for the total earning is the same as the equation of a line

y=mx+c

where

y represents the total earning of $131

m represents the hourly earning= $8.50

x represents the number of hours h

c represents the tip of $80

The expression for the situation is modeled as

<h2>8.50h + 80 ≥131</h2>
8 0
3 years ago
A boat travelled 336 km downstream with the current. The trip downstream took 12 hours.
miskamm [114]

Answer:

We know the distance (d) equation in terms of rate (r) and time (t) as:

d=rt

Step-by-step explanation:

We have given d=336 km and t= 12 hours, so we have: 336 km = 12t <-- this is our equation.

Divide each side by 12 to solve for t:

12t/12=336/12

t= 28 km/ hour

5 0
3 years ago
The store price of a jeans is $50. If the discount given by the store is 45%, calculate the discount amount offered by the store
nata0808 [166]

Step-by-step explanation:

50+45%=72.5

50-45%=27.5

50×45%=22.5

7 0
3 years ago
Read 2 more answers
The following sequence is an arithmetic sequence what comes next ? 7,___,17
ipn [44]

Since this is an arithmetic sequence, you can conclude that the addition to the number is constant.

Let x = the number asked

       k = constant number added to the sequence

7 + k = x

x + k = 17

Solve the system of equation:

7 + k + k = 17

7 + 2k = 17

2k = 10

k = 5

Therefore, the missing number is 12 (7 + 5).

5 0
3 years ago
A, B, and C are collinear points, where B is between A and C. Find x if AB = x, BC = x + 6, and AC = 24. Then find the measures
Alekssandra [29.7K]

Answer:

AB = 9, BC = 15

Step-by-step explanation:

Since, A, B, and C are collinear points, where B is between A and C. i. e. A - B - C

\therefore AC = AB + BC\\\therefore 24 = x + x + 6\\\therefore 24 = 2x + 6\\\therefore 24 - 6 = 2x \\\therefore 18 = 2x \\ \therefore \:  \frac{18}{2}  = x \\  \therefore \: x = 9

\therefore AC = AB + BC\\\therefore 24 = x + x + 6\\\therefore 24 = 2x + 6\\\therefore 24 - 6 = 2x \\\therefore 18 = 2x \\ \therefore \:  \frac{18}{2}  = x \\  \therefore \: x = 9 \\  \because \: AB  = x \\  \huge \red{ \therefore AB  = 9} \\  \\  \because \:BC = x + 6 \\  \therefore \: BC = 9 + 6 \\ \huge \purple{ \therefore \: BC = 15}

8 0
3 years ago
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