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zavuch27 [327]
3 years ago
12

Katie has $120 on her cafeteria cardka. everytime she orders a meal , $4.50 is deducted from the

Mathematics
2 answers:
Scrat [10]3 years ago
8 0

Answer:

120-4.50 = 115.10

Step-by-step explanation:

She will have $115.10 left if she buys one mean

PtichkaEL [24]3 years ago
7 0
Or if your question is how many meals can she get before she runs out of money in her account- your answer is 26 meals. 4.50*26= 117 so she would have $3 left over and not enough to buy her one more meal
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Identify the sequence graphed below and the average rate of change from n = 1 to n = 3.
dsp73

Answer:

The required sequence is a_n=20(\frac{1}{2})^{n-1}. The average rate of change from n = 1 to n = 3 is -7.5.

Step-by-step explanation:

From the given graph it is clear that the sequence is a GP because the all terms are half of their previous terms.

Here, a_2=10,a_3=5,a_4=2.5,a_5=1.25

r=\frac{a_3}{a_2}=\frac{5}{10}=\frac{1}{2}

The common ratio of GP is 1/2.

r=\frac{a_2}{a_1}

\frac{1}{2}=\frac{10}{a_1}

a_1=20

The first term of the sequence is 20.

The formula for sequence is

a_n=a(r)^{n-1}

Where a is first term and r is common difference.

The required sequence is

a_n=20(\frac{1}{2})^{n-1}

The formula for rate of change is

m=\frac{f(x_2)-f(x_1)}{x_2-x_1}

The average rate of change from n = 1 to n = 3 is

m=\frac{f(3)-f(1)}{3-1}

m=\frac{5-20}{3-1}

m=\frac{-15}{2}=-7.5

Therefore the required sequence is a_n=20(\frac{1}{2})^{n-1}. The average rate of change from n = 1 to n = 3 is -7.5.

8 0
3 years ago
Read 2 more answers
What is the solution set for -4x - 10 ≤ 2?
hichkok12 [17]

Answer:

x <u>></u> -3

Step-by-step explanation:

- 4x - 10 <u><</u> 2

     + 10 <u><</u> + 10

<u>- 4x < 12</u>

-4      -4

x <u>></u> -3

I think the sign flips because the negative sign is w/the X.... If it doesn't, sorry 4 being wrong...

8 0
3 years ago
Given the following graph, what is the y-coordinate of the vertex?
Montano1993 [528]

Answer:

it is 8

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
4x2 + 9y2 = 72<br> 2x - y = 4<br><br> Which of the following is a solution to the system shown?
Ede4ka [16]
If you would like to solve the system of equations, you can do this using the following steps:

4x^2 + 9y^2 = 72
2x - y = 4 ... 2x - 4 = y
_________
<span>4x^2 + 9y^2 = 72
</span><span>4x^2 + 9 * (2x - 4)^2 = 72
</span>4x^2 + 9 * (4x^2 - 16x + 16) = 72
4x^2 + 36x^2 - 144x + 144 = 72
40x^2 - 144x + 144 - 72 = 0
40x^2 - 144x + 72 = 0
10x^2 - 36x + 18 = 0
5x^2 - 18x + 9 = 0
(5x - 3) * (x - 3) = 0
1. 5x - 3 = 0 ... 5x = 3 ... x = 3/5
2. x = 3

<span>1. y = 2x - 4 = 2 * 3/5 - 4 = 6/5 - 20/5 = -14/5
2. y = 2x - 4 = 2 * 3 - 4 = 6 - 4 = 2

1. (x, y) = (3/5, -14/5)
2. (x, y) = (3, 2)

The correct result would be </span>(3/5, -14/5) and <span>(3, 2).</span>
5 0
3 years ago
Số hạng đầu và số hạng thứ 2 của một cấp số nhân lần lượt là x+2 và x^2 -4 số hạng thứ 3 của cấp số nhân này là
GenaCL600 [577]

Answer:

x³-2x²-4x+8

Step-by-step explanation:

a1=x+2

a2=x²-4⇒q=a2/a1=x-2

⇒a3=q.a2=(x-2).(x²-4)=x³-2x²-4x+8

3 0
3 years ago
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