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creativ13 [48]
4 years ago
5

The function f is defined by f(x)=x^2+7x-18.

Mathematics
1 answer:
love history [14]4 years ago
3 0
If g(x)=f(4x) then:

g(x)=16x^2+28x-18

a,b,c are 16,28,-18 respectively

using the quadratic equation we find x=1/2 and -2.25 

A. 1/2
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two passenger train traveling in opposite directions meet and pass each other. Each train is 1/18 miles long and is traveling at
xz_007 [3.2K]

9514 1404 393

Answer:

  5 seconds

Step-by-step explanation:

Suppose the front parts of the trains meet at point A. Since both are the same length and traveling the same speed, each will pass point A in time ...

  time = distance/speed

  time = (1/18 mi)/(40 mi/h) = (1/720 h) × (3600 s)/(1 h) = 5 s

That is, the rear part of each train will be at point A 5 seconds after the front part.

The rear parts will pass each other 5 seconds after the front parts meet.

6 0
3 years ago
4.John purchased a roll of cloth 2m long for $205.00 . He resold the cloth in lengths of 250 mm for $40.00 per length. Calculate
azamat

Answer:

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Aaron is staying at a hotel that charges $99.95 per night plus tax for a room. A tax of 7% is applied to the room rate, and an a
Serjik [45]

Answer: $543.7325

Step-by-step explanation:

room rate = $99.95 / night

Tax fee = 7% of room rate

Therefore, tax fee = 7% of $99.95

Tax fee = 0.07 × $99.95

Room charge =[$99.95 + 0.07($99.95)]

Room charge = 1.07($99.95) per night

Additional onetime untaxed fee = $9

Therefore for 5 nights :

Room charge = 5×[1.07($99.95)] +

Total room charge = 5×[1.07($99.95)] + one time untaxed fee

Total room charge = 5×[1.07($99.95)] + $9

= $543.7325

7 0
3 years ago
This recipe makes 4 portions of potato soup.
Dominik [7]

Answer:

120 ml oil

150g onions

1.2 kg potatoes

1.5 litres milk

Step-by-step explanation:

The revipe serves 4 people, but Richard wants to serve 12 people. This is 3x the number of people intended.

So, multiply all the fiven ingredients by 3 as well.

Oil = 40ml x 3 = 120ml

Onions = 50g x 3 = 150g

Potatoes = 400g x 3 = 1200g = 1.2 kg

Milk = 500ml x 3 = 1500ml = 1.5 litres

Hope this helps

4 0
3 years ago
Read 2 more answers
Can somebody please help me
irinina [24]

Answer:

72 degrees.

Step-by-step explanation:

As it is a right angled triangle and if the smaller acute angle = x degrees then:

x + 4x + 90 = 180.

5x = 90

x = 18 degrees.

The larger acute angle = 4x = 4*18

=  72 degrees.

3 0
4 years ago
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