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tensa zangetsu [6.8K]
4 years ago
12

Lee is staying at a hotel. The cost of the first night is $240. The cost for each night after that is $210. Let y represent the

total cost of staying at the hotel for x nights. Which type of sequence does the situation represent?
Mathematics
2 answers:
Tema [17]4 years ago
7 0

Answer:

i agree with him

Step-by-step explanation:

sveticcg [70]4 years ago
6 0

Answer:

The situation represents the arithmetic sequence

Step-by-step explanation:

∵ The cost of the first night is $240

∵ The cost of each night after the first is $210

∵ The number of nights is x

∵ The total cost of staying at the hotel x nights is y

∴ y = 240 + 210(x - 1)

Put x = 1 , 2 , 3, 4 and then check the type of the sequence

∴ y = 240 + 210(1 - 1) = 240

∴ y = 240 + 210(2 - 1) = 450

∴ y = 240 + 210(3 - 1) = 660

∴ y = 240 + 210(4 - 1) = 870

∵ The difference between each two consecutive terms are constant

  (450 - 240 = 210 , 660 - 450 = 210 , 870 - 660 = 210)

∴ The sequence is arithmetic sequence

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\frac{96}{3}= \frac{ \frac{96}{3} }{ \frac{3}{3} }= \frac{32}{1}   =32
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3 years ago
What is an equation of the line that passes through the points (-6, -2) and
den301095 [7]

Answer:

The equation of line is: \mathbf{4x-3y=-18}

Step-by-step explanation:

We need to find an equation of the line that passes through the points (-6, -2) and  (-3, 2)?

The equation of line in slope-intercept form is: y=mx+b

where m is slope and b is y-intercept.

We need to find slope and y-intercept.

Finding Slope

Slope can be found using formula: Slope=\frac{y_2-y_1}{x_2-x_1}

We have x_1=-6,y_1=-2, x_2=-3, y_2=2

Putting values and finding slope

Slope=\frac{2-(-2)}{-3-(-6)}\\Slope=\frac{2+2}{-3+6} \\Slope=\frac{4}{3}

So, we get slope: m=\frac{4}{3}

Finding y-intercept

Using point (-6,-2) and slope m=\frac{4}{3} we can find y-intercept

y=mx+b\\-2=\frac{4}{3}(-6)+b\\-2=4(-2)+b\\-2=-8+b\\b=-2+8\\b=6

So, we get y-intercept b= 6

Equation of required line

The equation of required line having slope m=\frac{4}{3} and y-intercept b = 6 is

y=mx+b\\y=\frac{4}{3}x+6

Now transforming in fully reduced form:

y=\frac{4x+6*3}{3} \\y=\frac{4x+18}{3} \\3y=4x+18\\4x-3y=-18

So, the equation of line is: \mathbf{4x-3y=-18}

6 0
3 years ago
Use +,-,x, ÷ and parentheses to connect the numbers 1,3,5 and 7 such that the result is 24.
Alborosie

Answer: (3-1)×(7+5)

Step-by-step explanation:

There are mainly several ways to get 24

- 2×12

- 3×8

- 4×6

- add all of them together

- complicated ones can include large numbers minus another large number

Use try-check-revise, to find the way that fits 24

For this question, we used 2×12, which results in (3-1)×(7+5)

Hope this helps!! :)

Please let me know if you have any questions.

4 0
3 years ago
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blsea [12.9K]
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Check the picture below.

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