a cell phone carrier charges a monthly fee of $20 and also charges customers $0.05 per text message. the function c(t) = 0.05t +20 represents the cost, c, per month based on t text messages in a month. which best describes the domain of the function?

Answers

Answer 1

The best description of the domain of the function is t >= 0

How to determine which best describes the domain of the function?

The equation of the function is given as

C(t) = 0.05t + 20

The above equation is a linear function, and the variable t represent the number of text messages in a month

The number of text messages in a month cannot be negative

This means that

t >= 0

Hence, the best description of the domain of the function is t >= 0

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Related Questions

HELP PLEASEEE
If g (x) = x² + 6 and ƒ (x) = 2x − 4, find g (ƒ (x))

Answers

Step-by-step explanation:

Plug in 2x-4 in the function g(x)

[tex]g(f(x)) = {(2x - 4)}^{2} + 6 \\ \\ g(f(x)) = (2x - 4)(2x - 4) + 6 \\ = 4 {x}^{2} - 8x - 8x + 16 + 6 \\ g(f(x)) = 4 {x}^{2} - 16x + 22[/tex]

HOPE THIS HELPS


Help I have no clue what are the answers I tried 30 times!

Answers

The correct options for the linear combinations of the vectors are given by:

A, B, C, D, E and F.

What is a span between two vectors?

The span between two vectors is the set that contains all linear combinations between these two vectors.

Supposing we have two vectors u1 and u2, as is the case in this problem, the infinitely many linear combinations have the following format:

k1u1 + k2u2

In which k1 and k2 are real numbers.

With k1 = 4 and k2 = -7, we get that option A is correct.

For option B, we have to see if it is possible to solve the following system.

k1 + 4k2 = 0.5k1 + 22k2 = 0.-4k1 - 11k2 = 0.

The solution is k1 = k2 = 0, which are real numbers, hence option B is correct.

Both vectors u1 and u2 are part of the span, hence options D and F are correct. The size of the span is of infinity, hence option E is correct while option G is not.

The dimension of the span is of 3, as the vectors have 3 elements, hence option C is correct.

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19. The football game was attended by 237 people, down 40% from last week. How many
people attended last week's game?
(a) 332
(b) 395
(c) 142
(d) 379

Answers

Answer:

(a) 332

Step-by-step explanation:

Find 40% of 237

94.8, Round to 95

237 + 95 = 332

a11
for -4, 8, -16, 32, …

Answers

Answer: -64, 128…

Step by step:

Every other number will be negative then positive etc

A sum of £350 is invested at simple interest and amounts to £476 after 3 years. Calculate

(a) the total interest
(b) the rate per cent per annum. ​

Answers

Answer:

(a) $126

(b) .453333%

Step-by-step explanation:

(a) 476 - 350 = $126

(b)

[tex]si = p \times r\times t \\ 476 = 350 \times r\times 3 \\ 476 = 1050r \\ \frac{476}{1050} = r \\ r = 0.453333\%[/tex]

alysha is at a local library with her best friend. they've noticed a lot of cute boys in the library, and alysha bets that of the next twenty people to enter the library, exactly 12 will be cute boys. assuming there is a 50% chance that the next person to walk into the library is a cute boy, what is the probability that alysha will win the bet?

Answers

The probability that Alysha will win the bet is 0.12013

Let ‘x’ be the number of cute boys from next 20 persons that enter the library

And assume x be the integral values from 0 to 20

Given, the probability is 50% that the next person that enters the library is a cute boy,

total number of trials n=20 and probability of success p=50% = 0.5 = 1/2.

Hence, the p.m.f of X is given by

fX(x) = 20Cx(1/2)x(1−1/2)20−x

=20Cx(1/2)x(1/2)20−x

=20Cx(1/2)20

=20!(20−x)!x!⋅ 1220

=0,1,2,…,19,20

and the probability that X=x,

thus

P(X=x)=20!(20−x)!x!⋅1220

x=0,1,2,…,19,20

P(X=x)=20!(20−x)!x!⋅1220

x=0,1,2,…,19,20.

In particular, for X=x=12

P(X=12)=20!(20−12)!12!⋅1220

=20!8!12!⋅1220

≈0.12013

Hence, the probability that exactly 12 persons of the next 20 persons that walk into the library are cute boys is only approximately 0.12013.

Therefore, 0.1203 is less than 0.5, then it is more probable that Alysha will lose the bet than win it.

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if f(x) = x and g(x) = 2, what is (f.g) (x)?

Answers

The value of (f.g) (x) is 2. Option B

What is a function?

A function can be defined as an expression or rule that explains the relationship between an independent and dependent variable.

Given the functions;

f(x) = xg(x) = 2

To determine (f.g) (x), we need to know that it is a composite function

We substitute the value of g(x)  = 2 as x in f(x)

But we have f(x) = x

Then,

(f.g) (x) = 2

Thus, the value of (f.g) (x) is 2. Option B

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Show how 2/5 + 4/10 is the same as 4/5

Answers

Answer:

Explained through Step-by-step (Showed Work)

Step-by-step explanation:

Question: Show how 2/5 + 4/10 is the same as 4/5

Step-by-step:

2/5 and 4/10 are fractions. (So is 4/5)

To add fractions together, we need the denominators to be the same. This means that the bottom number of 2/5, which is 5 and the bottom number of 4/10 which is 10 have to be the same.

The easiest way to do this is to simplify 4/10. To simplify 4/10, we divide both the numerator (top number) and the denominator (bottom number) by the Greatest Common Factor.

In this case, 2 is the Greatest Common Factor because 4 divided by 2 is 2 and 10 divided by 2 is 5.

so, 4/10 can be simplified to 2/5.

Now, we can add 2/5 and 2/5 together by only adding the numerators. 2 + 2 = 4

so, 2/5 + 2/5 = 4/5

4/5 = 4/5

Therefore, 2/5 + 4/10 is the same as 4/5.

Hope this helps

you're given a fair coin. you flip the coin until either heads heads tails (hht) or heads tails tails (htt) appears. is one more likely to appear first? if so, which one and with what probability?

Answers

The HHT is more likely to appear first with a probability of 2/3.

What is probability?

The probability is an estimation of the likelihood that an event will occur. It assesses the event's certainty.

The formula for probability is given as;

P(E) = Number of Favourable Outcomes/Number of total outcomes.

Now according to the given question;

Only the second and third flips in the sequence matter. We understand the first flip is an H, and we're not interested in sequences that begin with T.

Lets start with the given format;

H _ _

If we get an HH_, the game is over and HHT will surely win (regardless of the number of heads we get, the next T is an automatic win). If we get an HTT, the game is over.

If we get an HTH, the game is a tie, and we must restart it.

Thus,

P(HHT) = 1/2

P(HTT) = 1/4

P(Draw) = 1/4

P(HHT wins) = P(HHT) / [1-P(Draw)]

                     = (1/2) / (1-1/4)

P(HHT wins) = 2/3

Thus, the probability of occurrence of HHT has more chances with 2/3.

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solve the function please

for f(x) = x^2 - 2x + 1 , find f(x+h)-f(x) / h , h ≠ 0

Answers

For the given function f(x) = x^2 - 2x + 1, the difference quotient is {2x + h - 2]

How to find the difference quotient for the function f(x)?

Here we have the function f(x) = x^2 - 2x + 1

And we want to find the difference quotient, which is:

( f(x + h) - f(x))/h

Replacing the actual function there we get:

[ (x + h)^2 - 2*(x + h) + 1 - x^2 + 2x - 1]/h

Now we can simplify the numerator, we will get:

[ x^2 + 2xh + h^2 - 2x - 2h + 1 - x^2 + 2x  -1]/h

[2xh + h^2 - 2h]/h

Taking the quotient we get:

{2x + h - 2]

That is the difference quotient for the function f(x).

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b. Parallel lines are lines that will never intersect. Do parallel lines exist in spherical geometry? Explain your answer.

Answers

Yes parallel line exist in spherical geometry. The radius or diameter and the tangent can be a pair of parallel line in spherical geometry

How parallel can exist in spherical geometry

The tangent of the sphere refers to a line that make contact with only a point in the sphere. The tangent is perpendicular to the center and the radius can be drawn to be parallel to the tangent.

The radius refers to a line running from the center to an end of the circle. Two radius can be drawn say radius A and radius B. Radius A will be drawn perpendicular to the tangent and radius B drawn perpendicular to radius A.

The pair of lines tangent and radius B will be parallel to each other.

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What is the answer rounded to the
hundredths
place?
9.3478 m
+2.73 m
12.0778 m
➜>>
→ [?] m

Answers

Answer:12.8

Step-by-step explanation: u just round it

Sarah had a balance of $162 in her bank account at the start of the week. She withdrew $63.50 on Monday, $23.25 on Wednesday, and $26.45 on Thursday. On Friday, she deposited $87.30.At the end of the week, Sarah had ___(less or more) money in her savings account than she had at the beginning of the week.
How much more or less? $_______

Answers

Answer:

Less; $25.90 less than at the beginning of the week

Step-by-step explanation:

162-(63.50+23.25+26.45)=162-113.20=48.80

48.80+87.30=136.10; 162>136.10

162-136.10=Δ$25.90

$25.90 less

What is the answer to
|x+8|=|2x+1| ?

Answers

Answer:

[tex] \sf \large \: x=7 or x=−3[/tex]

Step-by-step explanation:

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

|x+8|=|2x+1|

Solve Absolute Value.

|x+8|=|2x+1|

We know eitherx+8=2x+1orx+8=−(2x+1)

x+8=2x+1(Possibility 1)

x+8−2x=2x+1−2x(Subtract 2x from both sides)

−x+8=1

−x+8−8=1−8(Subtract 8 from both sides)

−x=−7

−x/−1 = −7/−1

(Divide both sides by -1)

x=7

x+8=−(2x+1)(Possibility 2)

x+8=−2x−1(Simplify both sides of the equation)

x+8+2x=−2x−1+2x(Add 2x to both sides)

3x+8=−1

3x+8−8=−1−8(Subtract 8 from both sides)

3x=−9

3x/3 = −9/3

(Divide both sides by 3)

x=−3

Check answers. (Plug them in to make sure they work.)

x=7(Works in original equation)

x=−3(Works in original equation)

Answer:

7

Step-by-step explanation:

x+8=2x+1

Subtract x on both sides. Subtract 1 on both sides

x=7

What is the quotient?

StartFraction (negative 7) squared Over (negative 7) Superscript negative 1 EndFraction
Negative 343
Negative 7
7
343

Answers

The quotient of the given division operation is -343. and The correct option is the first option -343.

According to the statement

We have to find that the value of the quotient.

So, For this purpose, we know that the

Quotient can be defined as the result of the division of a number by any divisor.

In other words, The result of the division is the quotient.

From the given information:

we are to determine the quotient of the given division operation

And

The statement become is:

[tex]\frac{-7^{2} }{-7^{-1} }[/tex]

Then we have to solve this

Then

[tex]\frac{49}{-7^{-1} }[/tex]

Then

49*-7

-343.

the quotient of the given division operation is -343.

So, The quotient of the given division operation is -343. and The correct option is the first option -343.

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Answer:

-343

Step-by-step explanation:

Edge

You start at (6,4) and move 4 units left and 2 units down what point will you end up on?

Answers

Answer:(2,2)

Step-by-step explanation:

because if you follow the steps you will end up there

find the value of x:​

Answers

35 degree as it is a isosceles triangle so we will be doing like this

110+2x=180 degree ( angle sum property of triangle)
2x=180-110
2x=70
X=70/2
X=35 degree


B = 35 degree
C=B alternate interior angles
C=35 degree

Answer:

The answer to the question is 35 degrees

What value of "x" makes the equation -4x+7=2x+13 true?
OA. -4
OB. -1
OC. 2
OD. O

Answers

Answer:

B. -1

Step-by-step explanation:

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

−4x+7=2x+13

Step 1: Subtract 2x from both sides.

−4x+7−2x=2x+13−2x

−6x+7=13

Step 2: Subtract 7 from both sides.

−6x+7−7=13−7

−6x=6

Step 3: Divide both sides by -6.

−6x/−6 = 6/−6

x=−1

The answer is B. just substitute x for -1 and solve it and it equals to 11=11

Multiply and simplify completely

√6 x 3√54

Answers

Answer:

54

Step-by-step explanation:

using the rule of radicals

[tex]\sqrt{ab}[/tex] = [tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] and [tex]\sqrt{a}[/tex] × [tex]\sqrt{a}[/tex] = a , then

[tex]\sqrt{6}[/tex] × 3[tex]\sqrt{54}[/tex]

= [tex]\sqrt{6}[/tex] × 3 × [tex]\sqrt{9(6)}[/tex]

= [tex]\sqrt{6}[/tex] × 3 × [tex]\sqrt{9}[/tex] × [tex]\sqrt{6}[/tex]

= [tex]\sqrt{6}[/tex] × [tex]\sqrt{6}[/tex] × 3 × 3

= 6 × 9

= 54

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

Here's the solution ~

[tex]\qquad \sf  \dashrightarrow \: \sqrt{6} \times 3 \sqrt{54} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt{2 \times 3} \times \sqrt{2 \times {3}^{3} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt{ {2}^{2} \times {3}^{4} } [/tex]

[tex]\qquad \sf  \dashrightarrow \:2 \times {3}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:2 \times 9[/tex]

[tex]\qquad \sf  \dashrightarrow \:18[/tex]

Please help me with this geometry question. Answer should be entered like this (answer, answer) thank you

Answers

Answer:

Q is the point (3, 4).

Step-by-step explanation:

The formulae for the coordinates of a point (h, k) which divides a line  joining the points (x1, y1) and (x2, y2) in the ratio m : n is:

h = (mx2 + nx1) / (m + n), k = (my2 + my1)/(m+n)

Now we have S = (x1, y1) = (-2, -6) and T = (x2, y2) = (5, 8) and

m = 5 and n = 2.

So here, for point Q:

h = (5*5) + 2*-2)/(2+5)

    = 21/7

     = 3.

k = (5*8 + (-6*2) / 7

   = 28/7

    = 4.

Which table has a constant of proportionality between y and az of 0.6?
Choose 1 answer:
(G
z
Y
47
6
8
-8
4
9
14
H
10
13
y
2.4
5.4
8.4
y
3
2
9 6
15 10

Answers

Answer:

C

Step-by-step explanation:

if you divide the y by x, the answer it will give you will be 2/3 or .6

Write a linear function f(x)=mx+b for the table

Answers

The standard form the linear function is f(x)= -3x-3.

Linear Function

An equation can be represented by a linear function. The standard form for the linear equation is: y= mx+b , for example, y=5x+3. Where:

m= the slope. It can be calculated for Δy/Δx .

b= the constant term that represents the y-intercept.

For the given example: m=5 and b=3.

You should replace in the minimum two given values for x and y in the standard form for a linear equation mx+b . Thus, you will write a system linear where from it, you can find the coefficients m and b. See below.

For x=0 and y=-3

       y=mx+b

      -3=0*m+b

      -3=b

For x=-2 and y=3

       y=mx+b

      3= -2*m+b

Now, you find b=-3, then

      3= -2*m-3

      3+3= -2m

       6=-2m

       m= -3

Thus, you can write f(x)= -3x-3.

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10. Sam earns a salary of $25,000 while Charlie earns a salary of $30,000. They each receive
a $2000 raise. Which of the following is true?
(a) Sam's raise is larger than Charlie's in both absolute and relative terms.
(b) The raises are the same in absolute terms, but Sam's is larger in relative terms.
(c) The raises are the same in relative terms, but Sam's is larger in absolute terms.
(d) The raises are the same in absolute terms, but Charlie's is larger in relative terms.

Answers

If the salary of Sam is $25000 and Charlie earns $30000 and each get a raise of $2000 then the statement "The raises are the same in absolute terms, but Charlie's is larger in relative terms" is true.

Salary of Sam = $25000

Raise in Sam's Salary = $2000

New Total Salary = $25000 + $2000 = $27000

Salary of Charlie = $30000

Raise in Charlie's Salary = $2000

New Total Salary = $30000 + $2000 = $32000

Hence the absolute value of their salaries are same but Charlie will get more in relative terms.

Hence, option d is correct.

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Solve the inequality -5/2 (3x-2)<6-2x. For full credit, you will need to show and explain every step. You may add more lines if you need them.

Answers

The solution to the inequality, -5/2(3x - 2) < 6 - 2x is: x > -2/11.

How to Solve an Inequality?

To find the solution to the inequality given, follow the steps explained below:

-5/2(3x - 2) < 6 - 2x [given]

-5/2(3x) -5/2(-2) < 6 - 2x [distribution property]

-15x/2 + 5 < 6 - 2x [simplify]

-15x/2 + 5 - 5 < 6 - 2x - 5 [subtraction property]

-15x/2 < 1 - 2x

-15x/2 + 2x < 1 - 2x + 2x [addition property]

-11x/2 < 1 [simplify]

-11x/2 × 2 < 1 × 2 [multiplication property]

-11x < 2

-11x/-11 > -2/11 [division property]

x > -2/11

Note: the inequality sign would change if we are dividing both sides by a negative number.

Therefore, the solution to the inequality, -5/2(3x - 2) < 6 - 2x is: x > -2/11.

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What reasoning shows correctly how to rewrite 4 to the power of 3 over 2 end exponent?

Answers

The reasoning which shows the given statement correctly is [tex]4^{\frac{3}{2}}[/tex].

Given the statement is "4 to the power of 3 over 2 end exponent".

In mathematics, an expression is defined as a set of numbers, variables, and operations that are formed according to context-dependent rules.

In the given statement 3 over 2 means, 3 is divisible by 2 and it can be written as 3/2.

And it is also given that 4 to the power of 3 over 2 that means we have to write 3/2 in the power of 4 and it can be written as

[tex]4^{\frac{3}{2}}[/tex]

Hence, the reasoning which shows the given statement "4 to the power of 3 over 2" correctly is [tex]4^{\frac{3}{2}}[/tex].

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Jenna can't wait to play in her new sandbox! Her mom fills the sandbox with seven 50-pound bags of sand. Then, Jenna uses her bucket to dump out sand 10 times. If she dumps out 8 ounces of sand each time, how many pounds of sand are left in the sandbox?

Answers

Answer:

345 pounds

Step-by-step explanation:

Each bucket dumps out 8 ounces of sand

8 ounces = 1/2 pound

So total sand dumped 10 times  = 1/2 x 10 = 5 pounds

Originally sandbox had 7 x 50 = 350 pounds of sand

Sand left in box = 350 - 5 = 345 pounds

HELP ME QUICK!!
Joe wants to wallpaper the back wall of his bedroom. The wall is in the shape of a rectangle its length of 17 feet and its width is 13 feet suppose wallpaper cost five dollars for each square foot how much will paper cost for the wall

Answers

Based on the shape of the back wall of Joe's bedroom and the dimensions of the rectangle, and the cost per square foot, the paper cost of the wall would be $1,105

What is the paper cost of the wall?

First, find the area of the back wall of Joe's bedroom because this is the area that would need to be covered by the wall paper:

Area of rectangle = Length x Width

Solving gives:
= 17 x 13

= 221 square foot

The cost to cover the wall based on the cost in dollars of each square foot is:
= Number of square feet x Cost per square foot

= 221 x 5

= $1,105

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are there any points with integer coordinates on a line if a line passes through (5,-8.5) and (13.8, 6.9)?

please provide a yes or no and examples.

Answers

There are at least two integer points in the line that passes through (5, - 8.5) and (13.8, 6.9).

Does a line contain coordinates with only integers?

In this problem we have a line that passes through two points on a Cartesian plane and herein we must check if that line contains at least one point with integer coordinates. First, determine the equation of the line:

Slope

m = [6.9 - (- 8.5)] / (13.8 - 5)

m = 7 / 4

Intercept

b = - 8.5 - (7 / 4) · 5

b = - 69 / 4

The equation of the line is y = (7 / 4) · x - 69 / 4.

Second, evaluate the equation of the line at different integers:

x= 6

y = (7 / 4) · 6 - 69 / 4

y = - 27 / 4

x = 7

y = (7 / 4) · 7 - 69 / 4

y = - 5

x = 8

y = (7 / 4) · 8 - 69 / 4

y = - 13 / 4

x = 9

y = (7 / 4) · 9 - 69 / 4

y = - 3 / 2

x = 10

y = (7 / 4) · 10 - 69 / 4

y = 1 / 4

x = 11

y = (7 / 4) · 11 - 69 / 4

y = 2

x = 12

y = (7 / 4) · 12 - 69 / 4

y = 15 / 4

x = 13

y = (7 / 4) · 13 - 69 / 4

y = 11 / 2

There are at least two integer points in the line that passes through (5, - 8.5) and (13.8, 6.9).

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please help im about to fail math solve for x: 5/2x+1/2x=7+7/2x

Answers

Answer:

yall smart

Step-by-step explanation:

Describe a real-world situation that can be modeled by the equation y = 1/20x be sure to describe which each variable represents

Answers

The equation can be modelled to a real scenario where every purchase can be use to calculate sales tax.

How to find a real world situation that models an equation?

The equation to be modelled is as follows:

y = 1 / 20x

let

x = The total price of purchases

y = The  amount of sales tax

This simply means a person pays 1 / 20 or 5% of every purchase he/she makes.

The total price of the purchase(including tax) is x while the actual amount of tax paid is y.

Let's say you buy a goods worth 400 dollars. Let's calculated the tax as follows:

x = $400

Therefore,

y = 1 / 20 × 400

y = 1 / 20 × 400

y = $20

Hence, the tax for a purchase of 400 dollars is 20 dollars.

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How does this passage from Plato help you turn your attention toward the right thing (i.e., truth, beauty, justice and goodness)? How many rectangles (including squares) are there in a 4x4 square shift the graph right by 2 units and up by 3 units what cube root equation is it? Why did Texas almost fail? (1-2 sentences, help) What is a syllable plis Goofy ahh questions are hard Personalizing3 Give a specific example from your own life of a time you used positive self-talk to help youreframe a situation or be more optimistic. (If you can't think of one, give an example of asituation that might happen and the positive self-talk you could use in that situation.)Describe the situation and the positive self-talk you used or could use. Then explain howthat positive self-talk helped or could help change your actions and/or view of thesituation.F Jinal kept two glasses of the same size and material on a kitchen table. In one glass she poured 250 mL of hot milk and in the other glass 250 mL of cold milk. She measured the temperature of the milk in both the glasses every ten minutes for two hours. What is she trying to find out? RADICALS PLEASE HELP(33 - 52) (23 + 52) a light bulb consumes 2400 watts-hour per day. how many watts-hour does it consume in 5 days and 12 hours Given f(x) = 2x - 1, g(x) = 3x^2 + 5, and h(x) = 4x+ 6 find h(g(f(x))). What is 2/3n plus 3/2n equals negative 13/4 In a photograph, allison stands next to her brother caleb grade 5 bolts have __ identifying on the head The product of a number and 10 Madeline rollins is trying to decide whether she can afford a loan she needs in order to go to chiropractic school. right now, madeline is living at home and works in a shoe store, earning a gross income of $1,320 per month. her employer deducts a total of $350 for taxes from her monthly pay. madeline also pays $205 on several credit card debts each month. the loan she needs for chiropractic school will cost an additional $320 per month. Tamara is a chef at a restaurant. She buys rice in bags that weigh 20 pounds.Each night, Tamara uses 0,4 pounds of rice. She needs toorder another bag when there are 1.6 pounds of rice leftin her bag.Question: On Day 1 there are 20 poundsof rice in her bag. On what day willTamara need to order a new bag of rice? kevin is a judge hearing the case of local dispatch co. v. national transport corp. applying the relevant rule of law to the facts of the case requires kevin to find previously decided cases that, in relation to the case under consideration, are Subtract the polynomials. Indicate the degree of the resulting polynomial.(10x^4y^2-9x^3y-9y)-(5x^4^y2+10x^3y+12y-8x) solve 3*2^x+1-4^x=8 help me as soon as possible