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tigry1 [53]
3 years ago
7

Carmen is taking a road trip. After 25 miles, she reaches a stretch of highway where she can drive at a constant speed of 65 mil

es per hour. Carmen's friend in the passenger seat is trying to figure out the minimum number of hours Carmen will need to drive to reach over 350 total miles for the trip, assuming she keeps a steady pace. Carmen's friend creates the inequality 65t + 25 > 350, where t is the driving time, in hours. What statement is the most accurate?
Mathematics
2 answers:
GenaCL600 [577]3 years ago
7 0

Answer: t > 5

Step-by-step explanation:

350 - 25 = 325

325 / 65 = 5

It said to reach over 350 miles, so it’s greater than 5

t > 5

Schach [20]3 years ago
6 0

Answer:

Carmen needs more than 5 hours to meet her goal.

Step-by-step explanation:

<em>65t + 25 > 350</em>

<em>65t > 325</em>

<em>t > 25 </em>

Carmen could reach 350 total miles at 5 hours if she drives at a constant rate of 65 miles per hour. To reach over 350 miles, Carmen will need to drive for more than 5 hours.

So, Carmen needs more than 5 hours to meet her goal.

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Please help with this thank you!
weeeeeb [17]

Answer:

A. Half of

B. Twice

C. greater than

Step-by-step explanation:

The median of the box plot is the middle line of the box, so for set a it is approximately ten and for set b it is approximately 20. 10 is half of 20 and 20 is twice as much as 10.

Hope this helps

3 0
2 years ago
If a cubic container has a side length of 50.0cm, what is the volume in liter?
zimovet [89]

Answer:

The answer is

<h2>125 litres</h2>

Step-by-step explanation:

To find the volume in liter we must first find the volume in cm³

Since the container is cubic

Volume = l³

where l is the length of one side

From the question

l = 50.0 cm

Volume = 50³

= 125000 cm³

Next we use the conversion

1cm³ = 0.001 L

If 1 cm³ = 0.001 L

Then 125,000 cm³ = 125,000 × 0.001 L

We have the final answer as

<h3>125 litres</h3>

Hope this helps you

3 0
3 years ago
Give me a funny shrek woman or anyone else
Bogdan [553]

Answer:

i need points ahsbdachsbecd

Step-by-step explanation:

8 0
3 years ago
Can someone please help? Thanks!
Paul [167]

Hey, I have already answered these all questions except the last question in your previous question. Make sure to see them.

For the last question, the answer would be the second choice as when times keep flowing, the distance still remains the same (not to be confused with speed.)

Basically when times keep going, the distance will stay the same without any changes.

7 0
2 years ago
How do I do functions
choli [55]

Explanation:

It depends on what you want to do. The topic of functions is easily a semester course in algebra, at least.

__

A function is a relation that maps an input to a single output. Common representations are ...

  • list of ordered pairs
  • table
  • graph
  • equation

Functions sometimes take multiple inputs to generate a given output.

Often, one of the first things you're concerned with is whether a given relation <em>is</em> a function. It <u><em>is not</em></u> a function if a given input maps to more than one output.

We say a relation <em>passes the vertical line test</em> when a vertical line through its graph cannot intersect the graph in more than one point. Such a relation <em>is a function</em>.

__

When a function is written in equation form, it is often given a name (usually from the (early) middle of the alphabet. Common function names are f, g, h. Any name can be used.

When a function is defined by an equation, the variables that are inputs to the function are usually listed in parentheses after the function name:

  f(x), g(a, b), h(m)

These variables show up in the function definition that follows the equal sign:

  f(x) = 3x -4

  g(a, b) = (1/2)a·b

  h(m) = 1/(m^3 +3) +5

The listed variable is called the "argument" of the function.

This sort of form of an equation is sometimes called "functional form." That is, a dependent variable, such as y, can be defined by ...

  y = 3x +4

or the same relation can be written in functional form as ...

  f(x) = 3x +4

Sometimes students are confused by this notation, thinking that f(x) means the product of f and x. Yes it looks like that, but no, that's not what it means.

__

One of the first things we like to do with functions is <em>evaluate</em> them. This means we put a particular value wherever the variable shows up.

If we want to evaluate the above f(x) for x=2, we put 2 (every)where x is:

  f(x) = 3·x -4

  f(2) = 3·2 -4 = 6 -4 = 2

We can evaluate the function for literals, also.

  f(a) = 3a -4

  f(x+h) = 3(x+h) -4 = 3x +3h -4 . . . here, h is a variable, not the function name

__

We can add, subtract, multiply, divide functions, and we can compute functions of functions. The latter is called a "composition", and is signified by a centered circle between the function names.

<u>Add functions</u>: f(x) +h(x) = (3x +4) +(1/(x^3 +3) +5)

  also written as (f+h)(x)

<u>Subtract functions</u>: f(x) -h(x) = (3x +4) -(1/(x^3 +3) +5)

  also written as (f-h)(x)

<u>Multiply functions</u>: f(x)·h(x) = (3x +4)(1/(x^3 +3) +5)

  also written as (f·h)(x) or (fh)(x)

<u>Divide functions</u>: h(x)/f(x) = (1/(x^3 +3) +5)/(3x +4)

  also written as (h/f)(x)

<u>Function of a function (composition)</u>: f(h(x)) = f(1/(x^3 +3) +5) = 3(1/(x^3 +3) +5) +4

  also written as (f∘h)(x) . . . . . the symbol ∘ is called a "ring operator". Sometimes a lower-case 'o' is used in plain text. It is not a period or dot or zero or degree symbol. Note the sequence of names means function f operates on the result of function h.

As with other function evaluations, the inner parentheses are evaluated first, and that result is then used as the argument of the outer function.

__

Because a function name can stand for an algebraic expression of arbitrary complexity, we often use a function name to talk about the properties of expressions in general.

For example, if we want to reflect the graph of the function y = f(x) over the x-axis, we want to change the sign of every y-value. We can use function notation to write that idea as ...

  y = -f(x) . . . . . f(x) reflected over the x-axis

The attached graph shows an example using the above function h(m).

4 0
3 years ago
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