Samuel pays $59.99 plus $0.25 for each minute over 450 minutes for his cell phone plan. Monica
pays $64.99 plus $0.10 for each minute over 450 minutes for her cell phone plan. Which system
of equations represents this situation? Letx represent the number of minutes over 450

Answer:

Step One: Evaluate the Function for A and B

f(1) = -6

f(2) = -1.5

Step Two: Use the Average Rate of Change Formula

f(b) - f(a) / b - a

-1.5 - -6 / 2 - 1

4.5 / 1

4.5

The average rate of change is equal to 4.5

In short, use

[tex] \frac{f(2) -f(1) }{2 - 1} [/tex]

Step-by-step explanation:

To explain, substitute 1 and 2 for f(x) then divide the difference of the two answers by the difference of the two x coordinates above to find the average rate of change

[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Let the numbers be : x, x + 1 and x + 2 ~

now, according to given condition :

[tex]\qquad \sf  \dashrightarrow \: x + 2(x + 1) = 98 - 3(x + 2)[/tex]

[tex]\qquad \sf  \dashrightarrow \: x + 2x + 2 = 98 - 3x - 6[/tex]

[tex]\qquad \sf  \dashrightarrow \: x + 2x + 3x = 98 - 6 - 2[/tex]

[tex]\qquad \sf  \dashrightarrow \: 6x = 90[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 90 \div 6[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 15[/tex]

So, tge required numbers are : 15, 16 and 17

Answer:  Continuous at x = 3

The function is only discontinuous at x = 0 since it causes a division by zero error. Everywhere else the function is a continuous curve.

Answer: 40%

Step-by-step explanation:

c=class. m=men. w=women.

c=m+w

40=24+w

40-24=24-24+w

w=16

16/40=

4/10=

4*100%/10=

400%/10=40%

The mean of the given data is 7.57 and the median of the given data is 8

Given that a data set i.e. Xi= 1,3,5,8,12,15,9. asked to find the mean and median of the given data.

Mean:

The mean is the average of the supplied numbers and is computed by dividing the total number of numbers by the sum of the given numbers.

Mean= [tex]\frac{sum of observation}{number of observation}[/tex]

Mean=[tex]\frac{1+3+5+8+12+15+9}{7}[/tex]

Mean=[tex]\frac{53}{7}[/tex]

Mean=7.57

The mean of the given data is 7.57

Median:

The median is a statistical metric that identifies the midway value of an ascending-ordered dataset (i.e., from smallest to largest value). The metric separates the dataset's lower and upper halves.

Arranging in ascending-order⇒1,3,5,8,9,12,15.

Then median=8

Therefore,The mean of the given data is 7.57 and the median of the given data is 8

Learn more about mean here:

https://brainly.com/question/13451489

#SPJ9

The solution of expression 19×50 is found as 950.

This property states that multiplying the product of two or more addends by a number produces the same outcome as multiplying each addend separately by the number and afterwards adding the products together.

In other words, the distributive property requires a phrase of the form:

A (B + C) can be simplified as A (B + C) = AB + AC.

This same applies foe the subtraction;

Thus, for the given numerical;

= 19×50

Using distributive property.

= (20 - 1)×50

Open the braces;

= 20×50 - 1×50

= 1000 - 50

= 950

Therefore, the solution of the numerical 19×50 is 950.

To know more about the distributive property, here

https://brainly.com/question/2807928

#SPJ9

Exact Distance = [tex]2\sqrt{5}[/tex] units

Approximate Distance = 4.4721 units

=================================================

Let's use the distance formula

[tex](x_1,y_1) = (3,0) \text{ and } (x_2, y_2) = (-1,-2)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(3-(-1))^2 + (0-(-2))^2}\\\\d = \sqrt{(3+1)^2 + (0+2)^2}\\\\d = \sqrt{(4)^2 + (2)^2}\\\\d = \sqrt{16 + 4}\\\\d = \sqrt{20}\\\\d = \sqrt{4*5}\\\\d = \sqrt{4}*\sqrt{5}\\\\d = 2\sqrt{5}\\\\d \approx 4.4721\\\\[/tex]

The exact distance is [tex]2\sqrt{5}[/tex] units.

That approximates to about 4.4721 units.

[tex]\frac{5.025 \times 10^{10}}{1.5 \times 10^{8}} \\ \\ =\frac{5.025}{1.5}(100) \\ \\ =\boxed{335}[/tex]

Option A is correct, 5.025 x 10¹⁰ is 335 times larger than 1.5 x 10⁸.

To determine how many times larger one number is than another, we divide the larger number by the smaller number.

In this case, we want to find how many times larger 5.025 x 10¹⁰ is than 1.5 x 10⁸.

Dividing the larger number by the smaller number:

(5.025 x 10¹⁰) / (1.5 x 10⁸)

To simplify, we can divide the coefficients (5.025 / 1.5) and subtract the exponents (10¹⁰ - 10⁸):

(5.025 / 1.5) x 10¹⁰⁻⁸

Evaluating the division of the coefficients:

(3.35) x 10²

Therefore, 5.025 x 10¹⁰ is 3.35 x 10² times larger than 1.5 x 10⁸.

In decimal form, this can be expressed as:

3.35 × 10² = 335

Therefore, 5.025 x 10¹⁰ is 335 times larger than 1.5 x 10⁸.

To learn more on Number system click:

https://brainly.com/question/22046046

#SPJ2

The logarithmic expansion of logs(20x + 5y) by using the properties of logarithmic is log(5)+log(4x+y).

The basic logarithmic function is of the form f(x) = logₐx(r)n = logₐx, where a > 0. It is the inverse of the exponential function aⁿ = x. Log functions include natural logarithm (ln) or common logarithm (log). Logarithmic functions is very useful in various mathematical computations.

Given that, log(20x+5y) and we have to expand it by using the properties of logarithms. So, let's proceed to solve the question.

log(20x+5y)

we can write 20 in terms of powers like 20 = (2²)x5

log((2².5)x+5y)

log(5(2².5x/5+5y/5))

log(5(2²x+y))

log(5(4x+y))

∵ log(ab) = log(a)+log(b)

⇒log(5(4x+y)) = log(5)+log(4x+y)

Hence, on expanding log(20x+5y) by using the properties of logarithms we get log(5)+log(4x+y) as our required answer.

Learn more in depth about the logarithms at https://brainly.com/question/13473114

#SPJ9

Using proportions, it is found that there are 1.125 cups of strawberries in each pie.

A proportion is a fraction of a total amount, and the measures can be related using a rule of three, which derives from proportional relationships.

Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures, involving operations such as division and multiplication, as they involve unit rates.

For this problem, from the ratios, we have that:

The least common multiple of 3 and 4 is 12, hence, multiplying 4 by 3, the ratio is:

Raspberries : Strawberries : Blueberries = 12 : 9 : 4

Meaning that our of 12 + 9 + 4 = 25 cups, we have that:

There amounts are for 8 pies, hence, for a single pie:

9/8 = 1.125 cups.

There are 1.125 cups of strawberries in each pie.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

Answer:

C. an = 14 + 9n

Step-by-step explanation:

The cost of having one pizza delivered is $14. Each additional pizza costs $9 more.

Let n= additional pizza

an = 14 + (9 × n)

an = 14 + 9n

Answer:

{-2/3, 10/3}

Step-by-step explanation:

Let's solve your equation step-by-step.

|3x−4|=6

Solve Absolute Value.

|3x−4|=6

We know either3x−4=6or3x−4=−6

3x−4=6(Possibility 1)

3x−4+4=6+4(Add 4 to both sides)

3x=10

3x/3 = 10/3

(Divide both sides by 3)

x=10/3

3x−4=−6(Possibility 2)

3x−4+4=−6+4(Add 4 to both sides)

3x=−2

3x/3 = −2/3

(Divide both sides by 3)

x= −2/3

Answer:

y=3x-2

Step-by-step explanation:

if for y=-3x-2 is being solved for x your answer would be:

y=3x-2

3x-2=y

3x=y+2

3x/3=y+2/3

so your final answer for this question is: x=y+2/3

and for the first one y=x-2 there is no answer for it

A translation of the equation for the surface area of this rectangular prism is given by: SA = 2(WH + LW + LH).

An equation can be defined as a mathematical expression which shows that two (2) or more thing are equal.

Mathematically, the surface area of a rectangular prism can be calculated by using this equation or formula:

SA = 2(WH + LW + LH)

Where:

In this context, we can reasonably and logically deduce that a translation of the equation for the surface area of this rectangular prism is given by:

SA = 2(WH + LW + LH).

Read more on surface area of a rectangular prism here: https://brainly.com/question/28185251

#SPJ1

Answer:

1,3,5,7,9,11,13,15,17,19

add them all together

= 100

Step-by-step explanation:

hope this works :)

Answer:

let x be -8

6(1-8)

6(7)

6x7=42

answer=42

If a brokerage company evaluated the three services its call centers provide for reliability. The over-all reliability of the call center is: 0.58752.

Using this formula to calculate the over-all reliability of the call center

Over-all reliability of the call center=Checking customer account status × Confirming orders× Stock quotes

Where:

Checking customer account status =.85

Confirming orders= .72

Stock quotes= .96

Let plug in the formula

Over-all reliability of the call center=.85×.72×.96

Over-all reliability of the call center=0.58752

Therefore If a brokerage company evaluated the three services its call centers provide for reliability. The over-all reliability of the call center is: 0.58752.

Learn more about Over-all reliability of the call center here:

https://brainly.com/question/17511330

#SPJ1

Answer:

-9x + 2 = -3(3x + 2).

Step-by-step explanation:

-9x + 2 = -3(3x + 2)

-9x + 2 = -9x - 6

0 = -8, which is absurd, so :-

No solutions.

Answer:

Here us the answer in the attachment

Answer:

the person above is correct

Step- by-step explanation:

Please see the attached image for your answer. Hope this helps! If you can't read something please let me know.

The dimensions of the rectangular traffic sign whose perimeter is 134 inches according to the task content are; 38in by 29in.

It then follows that from the task content that the dimensions of the rectangular traffic sign are to be determined.

Since the perimeter of a rectangle is given by;

P = 2(l+b)

where the length, l = b +9.

So therefore; 134 = 2(b+9 +b)

134 = 4b + 18

4b = 134 - 18

4b = 116

b = 29

In conclusion, the length, l of the traffic sign is; 29 +9

l = 38.

Read more on perimeter of a rectangle;

https://brainly.com/question/24571594

#SPJ1

Answer:

10.7a + (−6)

Step-by-step explanation:

The probability that a random bird chosen from among these is NOT a duck is 0.67

Given the total number of birds = 262

No of geese = 65

No of ducks = 84

No of robins = 113

We need to find the probability that a random bird chosen from among these is not a duck is

P ( not a duck ) = (total number of birds  - no of ducks) / total number of birds

                         =  262 - 84 / 262

                         =  178 / 262

                          = 0.67

The probability that a random bird chosen from among these is NOT a duck is 0.67.

To learn more about probability refer below

https://brainly.com/question/11234923

#SPJ9

Answer:n=16-m

Step-by-step explanation:

n+m=16

Subtract m from both sides.

n=16−m