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Savatey [412]
3 years ago
13

A train traveled 288 miles at a constant speed of 80 miles per hour. how long did it take the train to travel this distance? ent

er your answer as a decimal into the box.
Mathematics
1 answer:
lozanna [386]3 years ago
8 0
The train is travelling at 80 miles per hour, this can be represented by 80mi/h
As the symbol suggests, you find the value of speed by dividing the amount of miles by the amount of hours.
Let S be speed, D be distance and T be time
we get S=D/T so we have also T=D/S
as such, the time to go 288 miles is simply:
T=\frac{288}{80}=3,6 hours
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Harman [31]
Cube i think sorry if its wrong
4 0
3 years ago
This graph has rotational symmetry about the points
mart [117]

Answer: Answer for figure one is origin (0,0)

Answer for figure two is (2,4) /

Step-by-step explanation:

a) Here we can see that given graph is the equation of cubic function which is

f(-x) = -f(x) that is given function is odd then rotational symmetry point is origin always ,therefore point of rotational symmetry is origin (0,0)

b) The rotational symmetry of  an ellipse is 180 degrees about the center  of  the ellipse .

And here the center of given ellipse is  (2,4) ,therefore its rotational  symmetry is about (2,4) That is if we rotate the given ellipse 180 degrees about (2,4) it will be at its original position.

7 0
3 years ago
A truck can be rented from Company A for ​$70 a day plus ​$0.20 per mile. Company B charges ​$20 a day plus ​$0.40 per mile to r
Otrada [13]

Answer:

For Company A to have a better deal, the truck must be driven more than 250 miles per day.

Step-by-step explanation:

Given that:

Rent per day of company A = $70

Per mile charges = $0.20

Let,

x be the number of miles.

A(x) = 0.20x + 70

Rent per day of company B = $20

Per mile charges = $0.40

B(x) = 0.40x + 20

For make Company A better deal,

A(x) > B(x)

0.20x+70 > 0.40+20

0.20x-0.40x>20-70

-0.20x>-50

Dividing both sides by -0.20

\frac{-0.20x}{-0.20}>\frac{-50}{-0.20}\\x>250

Hence,

For Company A to have a better deal, the truck must be driven more than 250 miles per day.

8 0
3 years ago
Find f(x) + g(x) for<br> [ f(x) = 6x – 4<br> [g(x) = -5x + 24
Ket [755]

Answer:

f(x) + g(x) = x + 20

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients
  • Functions
  • Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 6x - 4

g(x) = -5x + 24

<u>Step 2: Find f(x) + g(x)</u>

  1. Substitute in functions:                                                                                     f(x) + g(x) = 6x - 4 + (-5x + 24)
  2. Combine like terms (x):                                                                                    f(x) + g(x) = x - 4 + 24
  3. Combine like terms:                                                                                         f(x) + g(x) = x + 20
3 0
3 years ago
What is the equation of the line (in slope-intercept form) that passes through the point (5,−1) and is parallel to the line y=2x
tatyana61 [14]

Answer:

<h2>y = 2x - 11</h2>

Step-by-step explanation:

\text{Let}\\\\k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\\\===============================

\text{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\\\m-slope\\b-y-intercept\\\\==========================

\text{We have the equation of a line:}\ y=2x-7\to m_1=2.\\\\\text{The slope of a parallel line:}\ m_2=m_1=2.\\\\\text{We have the equation:}\\\\y=2x+b\\\\\text{Put the coordinates of the point (5, -1) o the equation:}\\\\-1=2(5)+b\\-1=10+b\qquad\tex\text{subtract 10 from both sides}\\-11=b\to b=-11\\\\\text{Finally:}\\\\y=2x-11

5 0
3 years ago
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