Answer:
7 and 1
Step-by-step explanation:
Let the numbers be a and b.
<u>A positive number is 7 times another number:</u>
<u>If 3 is added to both the numbers then one of the new number becomes 5 by 2 times the other new number:</u>
<u>To solve this we substitute </u><u>a</u><u> with </u><u>7b</u><u> in the second equation:</u>
- 7b + 3 = 5/2 × (b +3) ⇒ multiplying both sides by 2
- 14b + 6 = 5b + 15 ⇒ collecting like terms
- 14b - 5b = 15 - 6
- 9b = 9
- b = 1 ⇒ solved for b
<u>Then, finding a:</u>
- a= 7b
- a=7*1
- a= 7 ⇒ solved for a
<u>So the numbers are</u> 7 and 1
Answer:
Find the prime factorization of 14
14 = 2 × 7
Find the prime factorization of 6
6 = 2 × 3
Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2 × 3 × 7
LCM = 42
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Answer:
f^-1(4) = 2
f^-1(-5) = -4
f^-1(0) = 0
Step-by-step explanation:
To find the inverse of the function, we simply switch the places of x and y
You simply find the value given on the y-axis and trace to the x-axis
Thus, we have the following ;
f^-1(4) = 2
f^-1(-5) = -4
f^-1(0) = 0
Answer:
x = 
Step-by-step explanation:
given
4 - ax = 2 ( isolate the term in x by subtracting 4 from both sides )
- ax = 2 - 4 = - 2 ( divide both sides by - a )
x = 
=
