A "Local" train leaves a station and runs at an average rate of 35 mph. An hour and a half later an "Express" train leaves the station and travels at an average rate of 56 mph on a parallel track. How many hours after the Express train starts will the it overtake the Local?

Answers

Answer 1
Answer: Hello,

Let's assume x the time the express runs.

56*x=35*(1.5+x)
==>21x=52.5

==>x=2.5 h =2 h 30 min
Answer 2
Answer: x=2.5 h =2 h. 30 min.

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X^2+2x in factored form

Answers

in factor form, take x as a common factor
x(x+2)

A pyramid has cross-sectional, taken parallel to its base that are?

Answers

They are similar. 






sorry for reporting you by accident

Tomas learned that the product of the polynomials (a b)(a2 – ab b2) was a special pattern that would result in a sum of cubes, a3 b3. his teacher put four products on the board and asked the class to identify which product would result in a sum of cubes if a = 2x and b = y. which product should tomas choose? (2x y)(2x2 2xy – y2) (2x y)(4x2 2xy – y2) (2x y)(4x2 – 2xy y2) (2x y)(2x2 – 2xy y2)

Answers

The polynomial (a + b)(a² – ab + b²) is reconstructed as (2x + y)(4y² – 2xy + y²), then the correct option is C.

What is polynomial?

Polynomial is an algebraic expression that consists of variables and coefficients. Variables are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

Tomas learned that the product of the polynomials (a + b)(a² – ab + b²) was a special pattern that would result in a sum of cubes, a³ + b³.

His teacher put four products on the board and asked the class to identify which product would result in a sum of cubes if a = 2x and b = y.

Then the polynomial equation will be

(2x + y)(4y² – 2xy + y²)

More about the polynomial link is given below.

brainly.com/question/17822016

Answer:

C

Step-by-step explanation:

2022

Select all of the zeros of the function f(x) = (3x – 4)(x+2).

Answers

Answer:

x = -2 and 3/4

Step-by-step explanation:

3x - 4 = 0

3x = 4

x = 3/4

x + 2 = 0

x = -2

Hopefully this helps!

Brainliest please?

Find the distance between the two points in simplest radical form. The points given are (1,8) and (6,-4).​

Answers

Answer:

d = 13 units

Step-by-step explanation:

calculate the distance d using the distance formula

d = \sqrt{(x_(2)-x_(1))^2+(y_(2)-y_(1))^2 }

let (x₁, y₁ ) = (1, 8 ) and (x₂, y₂ ) = (6, - 4 )

substitute these values into the formula for d

d = √((6-1)^2+(-4-8)^2)

  = √(5^2+(-12)^2)

  = √(25+144)

  = √(169)

  = 13 units

What is the total amount that First Consumer Bank will receive after lending Jane $7,000 for three years at an interest rate of 5 percent, compounded annually?

Answers

Given:
principal = 7,000
interest rate = 5% compounded annually
term = 3 years

A = P (1 + r/n)^nt

A = future amount to be received by First Consumer Bank
P = loan principal
r = rate
n = number of times compounded in a year
t = term

A = 7,000 ( 1 + 5%/1)^1x3
A = 7,000 (1.05)³
A = 7,000 (1.157625)
A = 8,103.375

First Consumer Bank will receive 8,103.375 from Jane after lending 7,000 for 3 years compounded annually at 5%.