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balu736 [363]
2 years ago
14

A cyclist travels 12 km in 3 hours. In how many hours will he travel 24 km? *

Mathematics
1 answer:
Morgarella [4.7K]2 years ago
5 0

Answer:

6 hours

Step-by-step explanation:

12km/ 3= 4 km per hour so

24/4=            

6 hours

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The roots of 2x^2-3x=4 are a and b. Find the simplest quadratic equation which has roots 1/a and 1/b
Tju [1.3M]
Find the roots

solve
we use hmm, completing the suare
2(x²-1.5x)=4
divide both sides by 2
x²-1.5x=2
take 1/2 of linear coeiftn and square it
-1.5/2=-0.75, (-0.75)²=0.5625
add that to both sides
x²-1.5x+0.5625=2+0.5625
factor perfect squaer trinomial
(x-0.75)²=2.5625
square root both sides, remember to take positive and negative square roots
x-0.75=+/-√2.5625
add 0.75 to both sides
x=0.75+/-√2.5625

the roots are x=0.75+√2.5625 and x=0.75-√2.5625

1/a and 1/b
1/(0.75+√2.5625) and 1/(0.75-√2.5625)

if the roots of a quadratic equation are r1 and r2 then it factors to
(x-r1)(x-r2)
so then we can factor our equation to be
(x-\frac{1}{0.75+\sqrt{2.5625}})(x-\frac{1}{0.75-\sqrt{2.5625}})

if we were to try and expand it, we would get
x²+0.75x-0.5
that's the simpliest equation with roots 1/a and 1/b where a and b are he roots of 2x²-3x=4


x²+0.75x-0.5 is answer
8 0
3 years ago
Maurice finished 14 paintings in 5 days. He painted the same number of paintings each day. Which of the following equations repr
monitta

Answer:

14 ÷ 9 = 1.55555555556

9 ÷ 14 = 0.64285714285

14 ÷ 5 = 2.8

5 ÷ 14 = 0.35714285714

Step-by-step explanation:

pls mark me brainliest

7 0
3 years ago
Please help me!!!!!!!!!!
kirill [66]
I think the  answer may be D. You can graph the points and draw  a line through the points to see what other points are intersected by the line. 
5 0
3 years ago
An investment grows according to the exponential equation y = 15,000 · 1.07x, where x is the number of years invested. Which of
Nikolay [14]
The option c is the answer because
2p=p (1.07)^x
2=1.07^x
Solve for x
X=log(2)÷log(1.07)
x=10 years the amount will be doubled after 10 years
But your option says the investment will (more) than double with (12) years
So it's correct
5 0
2 years ago
A graph titled Health Club Rates has number of family members on the x-axis and Monthly cost (dollars) on the y-axis. For 2 fami
harkovskaia [24]

Answer:

$42 per person

Step-by-step explanation:

I just did it and got it right.

6 0
3 years ago
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