Write an exponential function represented by the table
X | 0 | 1 | 2 | 3 |
Y | -50 | -10 | -2 | -0.4 |

Answer:

[tex]f(x) = \left \{ {{39.99; 0 \le x \le 450} \atop {0.45x - 162.51; \ x>450}} \right.[/tex]

Step-by-step explanation:

Given

Charges: $39.99 for first 450 minutes

Charges: $0.45 for additional minutes

(a): What is x

x represents the total minutes

(b): What is f(x)

f(x) represents the total monthly cellular charges

(c): The piecewise function

For the first 450 minutes, the function is:

[tex]f(x) = 39.99;\ 0 \le x \le 450[/tex]

For additional minutes.

In (a), the total minutes is x.

So, we have:

Total Charges = Charges for first 450 minutes + Charges for additional minutes * (Minutes after 450 minutes)

[tex]Total\ Charges = 39.99 + 0.45 * (x - 450)[/tex]

[tex]f(x) = 39.99 + 0.45 * (x - 450)[/tex]

Open bracket

[tex]f(x) = 39.99 + 0.45x - 0.45 * 450[/tex]

[tex]f(x) = 39.99 + 0.45x - 202.5[/tex]

Collect Like Terms

[tex]f(x) = 0.45x+39.99 - 202.5[/tex]

[tex]f(x) = 0.45x-162.51[/tex]

The range of the above function is: x > 450.

So, the piecewise function is:

[tex]f(x) = \left \{ {{39.99; 0 \le x \le 450} \atop {0.45x - 162.51; \ x>450}} \right.[/tex]

Answer:

R = 0.8815 ;

y = 6.14679X + 2.33028 ;

14.624

Step-by-step explanation:

Using an online correlation Coefficient calculator, the correlation Coefficient, R between the number of lawn fertilizer sold and the number of lawn mowers sold is 0.8815. This R value depicts a strong positive correlation between both variables.

The regression line equation obtained by Plotting the values to generate a linear model is :

y = 6.147X + 2.330

With ;

Slope or gradient being 6.147

Intercept = 2.330

C.)

x = 2

y = 6.147X + 2.330

y = 6.147(2) + 2.330

y = 14.624

Answer:

90x3

Step-by-step explanation:

Answer:

13000grams are in 13 kilograms

Answer:

plzz show me the diagram otherwise I can't help you sorry!!!!

Answer:

yes he was correct Perry's hypothesis was correct

Answer:

x= 273

Step-by-step explanation:

Answer:

273

Step-by-step explanation:

3549/13=23

(Hope this helps u and u get it correct!)

-AestheticSnowy

Answer:

152 yards

Step-by-step explanation:

456 divided by 3 equals 152

Answer:

456 feet equal 152 yards

Step-by-step explanation:

Answer:

Scale factor: 1.8

Step-by-step explanation:

AB' = √(20-2)² + (-30 - -3)² = √1053 = 9 √13

AB = √(20-10)² + (-30 - -15)² = √325 = 5 √13

AB' / AB = 9 √13 / 5 √13 = 9/5 = 1.8

Step-by-step explanation:

The Distributive Property is easy to remember, if you recall that "multiplication distributes over addition". Formally, they write this property as "a(b + c) = ab + ac". In numbers, this means, for example, that 2(3 + 4) = 2×3 + 2×4.

Answer:

65 is the answer okkkkkk

Best of luck

Answer:

G

Step-by-step explanation:

Hope this helps

Answer:

0.0769

Step-by-step explanation:

Answer:

The nth term is given by: [tex]a_n = -9 + 3(n-1)[/tex]

The 30th term is 78.

Step-by-step explanation:

Arithmetic sequence:

The nth term of an arithmetic sequence is given by:

[tex]a_n = a_1 + (n-1)d[/tex]

In which [tex]a_1[/tex] is the first term and d is the common difference between terms.

-9, -6, - 3,0

This means that [tex]a_1 = -9, r = -6 - (-9) = -6 + 9 = 3[/tex]. So

[tex]a_n = -9 + 3(n-1)[/tex]

30th term:

[tex]a_30 = -9 + 3(30-1) = -9 + 87 = 78[/tex]

The 30th term is 78.

Answer:

2.359296x10^27

Step-by-step explanation:

Answer:

sorry going to the 18th power is a bit too much. however 9,000 x 20 = 18,000

Step-by-step explanation:

Answer:560

Step-by-step explanation:

Answer: 560

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

We have two fractions, 1/4 and 3/4. Lucky they have the same denominator :

Which is the number under the line, which means their capacity is the same amount. Now we just have to see the greater numerator (the number above the line).

So since 3 is greater than 1

Therefore 3/4 is the answer

Answer:

You answer would be 3/4

Step-by-step explanation:

3/4 is larger than 1/4.

Answer:

x = 28

Step-by-step explanation:

(x + 18)° + (5x - 6)° = 180° (supplementary angles)

Solve for x

x + 18 + 5x - 6 = 180

Add like terms

6x + 12 = 180

6x = 180 - 12 (subtraction property of equality)

6x = 168

x = 168/6 (division property of equality)

x = 28

Answer:

The heavier an object the harder it is to move.

Step-by-step explanation:

I'm pretty sure this is it

Answer:

C. Gravity and Friction combine to make a train hard to move.

Step-by-step explanation:

This option makes the most sense based off of the text. In the text it says "Since gravity and friction make trains harder to move...." None of the other options really match the text either.

Hope it helps!

Answer:

£217.80

Step-by-step explanation:

198 increase 10% =

198 × (1 + 10%) = 198 × (1 + 0.1) = 217.8

Answer:

78

Step-by-step explanation:

Answer:

Step-by-step explanation:

length = 6 x 1/3 = 2 inches

width = 4 x 1/3 = 4/3 inches

height = 8 x 1/3 = 8/3 inches

volume = lwh = 2 x 4/3 x 8/3 = 64/9 cubic inches

Another approach is the following:

There are 6 x 4 x 8 = 192 cubes inside the prism,

Each cube has a volume of 1/27 cubic inches.

Therefore total volume = 192 x 1/27 = 192/27 = 9

Answer: 13, remainder : 3

Step-by-step explanation:

The quotient and remainder of 55 divided by 4 are 13 and 3 respectively.

We have to given that,

To find the quotient and remainder of 55 divided by 4.

We can divide it,

⇒ 55 ÷ 4

4 ) 55 ( 13

  - 4

 -------

    15

  - 12

 ---------

       3

Hence, We get;

After divide,

Quotient = 13

Remainder = 3

Therefore, the quotient and remainder of 55 divided by 4 are 13 and 3 respectively.

Learn more about the divide visit:

https://brainly.com/question/28119824

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Answer:

$1.05

Step-by-step explanation:

3% of 35 = 0.03 × 35 = 1.05