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lyudmila [28]
3 years ago
13

What is the 50th term of the arithmetic sequence having u(subscript)1 = -2 and d = 5

Mathematics
1 answer:
OLga [1]3 years ago
8 0

Answer:

243

Step-by-step explanation:

The general term for this arithmetic sequence is:

a(n) = -2 + 5(n - 1).

Then a(50) = -2 + 5(49) =   243

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For the straight line defined by the points (2,55) and (4, 87), determine the slope (m) and y-intercept?
mamaluj [8]

Answer:

Slope(m) = 16

Y intercept (c) = 23

Step-by-step explanation:

Given:

Points : (x1, y1) = (2, 55)

           (x2, y2) = (4, 87)

Using two point form to calculate slope:

m = \frac{y2-y1}{x2-x1}

m = \frac{87-55}{4-2}

      m = 16

To find y intercept:

Take any one point ans slope :

Using slope point formula:

y = mx + c

87 = 16(4) + c

Solving for c:

c = 23

8 0
3 years ago
Identify the corresponding word problem given the equation: x = 10.20 × 9
Inga [223]
10.20 x 9 = 91.8

( It's William and nine/eight friends, since they're dividing it among ALL people we count William in. )

A: William and nine friends <span>divided the bill evenly. If each person paid $10.20, what was the total bill? 
</span>
10.20 x 10 = 102

B: <span>At a restaurant, William and eight friends divided the bill evenly. If each person paid $10.20, what was the total bill? 

10.20 x 9 = 91.8

C: </span><span>At a restaurant, William and nine friends divided the bill evenly. If the total bill was $91.80, what did each person pay? 

91.80 x 10 = 918

D: </span><span>At a restaurant, William and eight friends divided the bill evenly. If the total bill was $91.80, what did each person pay? 

</span>91.80 x 9 = 826.2

So, your answer is B
3 0
3 years ago
Read 2 more answers
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Ghella [55]

Answer:

n = -2

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What if there is more than one variable?
Nadya [2.5K]

Answer:

a10 b10

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Help on 3. And 4. Thank you!
chubhunter [2.5K]

Answer:

#3.) The initial value of  16 gal at  x = 5 minutes means that 16 gallons of water was present 5 minutes after the barrel started leaking.

#4.) Find how many minutes until the barrel is empty of water.

Let y = 0,  to solve for time x.

0 = (-2/5)*x + 18

(2/5)*x = 18

x = (5/2)* 18 = 5*9 = 45 minutes

Up to and after 45 minutes, the barrel is empty of water.

Step-by-step explanation:

#2.)  

minutes:      5, 10, 15, 20

water(gal):  16, 14, 12, 10

Find slope:    slope m = (14 - 16)/(10 - 5) = -2/5

y - 10 = (-2/5)*(x - 20)

y - 10 = (-2/5)* x  + 8

y = (-2/5)*x + 18

rate of change slope means that for every minute  2/5 gallons of water is lost

#3.) The initial value of  16 gal at  x = 5 minutes means that 16 gallons of water was present 5 minutes after the barrel started leaking.

#4.) Find how many minutes until the barrel is empty of water.

Let y = 0,  to solve for time x.

0 = (-2/5)*x + 18

(2/5)*x = 18

x = (5/2)* 18 = 5*9 = 45 minutes

4 0
4 years ago
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