18. TRAVEL A speed limit of 100 kilometers per hour (kph) is approximately
1 answer:
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Answer:
The equation x = y-8
The equation (y-8) y = 240
The first number x = 12 and second number y =20
Step-by-step explanation:
<u>Explanation</u>:-
<u>Step(l)</u>:-
Let 'x' be the first number and 'y' be the second number
Given the product of two numbers is 240
Given data x y = 240 …(l)
Given data the first number is 8 less than the second number.
x = y-8...(ll)
Substitute (ll) in equation (l) , we get
(y-8) y = 240
y = -12 and y = 20
Y= -12 is not satisfied
we can choose y = 20
<u>Step(ll):</u>-
Given data x =y-8
substitute value y = 20 in x = y -8
x = 20-8 = 12
<u>Final answer</u>:-
The first number x = 12 and second number y =20
Answer:
x = 15 or x = -
Step-by-step explanation:
Cross- multiplying gives
(14x + 6)(17x + 5) = 9x(27x + 11) ( expanding factors )
238x² + 172x + 30 = 243x² + 99x
rearrange into standard form : ax² + bx + c = 0
5x² - 73x - 30 = 0 ← in standard form
consider the factors of the product 5 × - 30 = - 150 which sum to the coefficient of the x-term (- 73 )
the factors are - 75 and + 2
Use these factors to split the middle term
5x² - 75x + 2x - 30 = 0 ( factor by grouping )
5x(x - 15) + 2(x - 15) = 0 ← take out the factor (x - 15)
(x - 15)(5x + 2) = 0
equate each factor to zero and solve for x
x - 15 = 0 ⇒ x = 15
5x + 2 = 0 ⇒ x = -
Answer:
Step-by-step explanation:
Given (AB )^T= B^T. A^T;
To prove this expression, we need to apply multiplication law, power law and division law of indices respectively, as shown below.