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olchik [2.2K]
3 years ago
7

Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 70 mph. The w

estbound train travels at 90 mph. How long will it take for the two trains to be 192 miles apart.
Mathematics
1 answer:
Iteru [2.4K]3 years ago
4 0

Answer:

1.2 hours

Step-by-step explanation:

Recall :

Distance = speed * time

Let the time taken = x

Creating an equation for the question :

Distance of train A + Distance of train B = 192

70 * x + 90 * x = 192

70x + 90x = 192

160x = 192

x = 192 / 160

x = 1.2

It takes 1.2 hours to be 192 miles apart.

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Which of the following is equivalent to (2x + 3)(2x + 3)?
Kryger [21]

Answer:

(2x+3)(2x+3)=4x^2+12x+9

Step-by-step explanation:

we are given

(2x+3)(2x+3)

Firstly, we will distribute it

=2x\times 2x+2x\times 3+3\times 2x+3\times 3

now, we can simplify it

=2\times 2\times x\times x+2\times 3x+3\times 2x+9

=4x^2+6x+6x+9

=4x^2+12x+9

so, we get simplified term as

(2x+3)(2x+3)=4x^2+12x+9

7 0
4 years ago
Read 2 more answers
A mother is now nine times as old as her son. In four years' time she will be five times as old as her son.What are their presen
ivanzaharov [21]

Answer:

son = 4

mom=36

m = 9s

m + 4 = 5(s+4)

m + 4 = 5s + 20

9s + 4 = 5s + 20

4s = 16

s = 4

m = 36

Step-by-step explanation:

5 0
3 years ago
D=8.3m<br> Calculate the circumference of the circle.
nikitadnepr [17]

Answer:

Step-by-step explanation:

C=2*3.14*r

we have the diameter d=2*r=8.3m

C=8.3*3.14=26.06 m

8 0
3 years ago
Who can answer this? I’ll mark brainliest!!
Vesna [10]

Answer:

y = 0.48(x - 0.5)² - 3

y = 0.48(x² - x - 6)

Step-by-step explanation:

From the graph the zeros are

x = {-2, 3}

The x coordinate of the vertex is the midpoint of the roots

x = (-2 + 3) / 2

x = 0.5

The y coordinate of the vertex is

y = -3

vertex = (0.5, -3)

--------------------------------------

Merhod I - vertex

Vertex form is

y = a(x - h)² + k

plug in the vertex

y = a(x - 0.5)² - 3

to find a plug in either root

using x = 3

0 = a(3 - 0.5)² - 3

0 = a(2.5)² - 3

0 = 6.25a - 3

3 = 6.25a

a = 3/6.25

a = 0.48

y = 0.48(x - 0.5)² - 3

-----------------------------

Method II - roots

y = a(x + 2)(x - 3)

-3 = a(0.5 + 2)(0.5 - 3)

-3 = a(2.5)(-2.5)

-3 = -6.25a

3/6.25 = a

0.48 = a

y = 0.48(x + 2)(x - 3)

Expand

y = 0.48(x² - x - 6)

5 0
3 years ago
URGET! PLEASE HELP ASAP! WILL GIVE BRAINLIST! Complete the description of the piecewise function graphed below
Bezzdna [24]

Answer: f(x) = -3 if -4 ≤ x ≤ -1

Explanation: The filled in circles mean that solution is possible, so you use the equal to sign.

Hope this helps!

6 0
4 years ago
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