The translation of the mathematical statement given as six decreased by 9 times a number is -39 is 9x - 6 = -39
<h3>How to translate the mathematical statement?</h3>
The mathematical statement is given as:
six decreased by 9 times a number is -39
9 times a number means
9 * x (assume x is the number)
So, we have:
six decreased by 9 times a number is -39 ⇒ six decreased by 9x is -39
Decreased by means we subtract 6 from 9x.
So, we have:
six decreased by 9 times a number is -39 ⇒ 9x - 6 = -39
Hence, the translation of the mathematical statement given as six decreased by 9 times a number is -39 is 9x - 6 = -39
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Answer:
f(x)=(x-12)^2
Step-by-step explanation:
We know that the function f(x+m) equals to the function f(x) translated 'm' times to the left. Therefore, to translate the function f(x) = x^2 twelve units to the right, we have to:
f(x-12) = (x-12)^2
Therefore, the new function is: f(x)=(x-12)^2
Terri walked in her own 93rd percentile, while April swam in her own 99th percentile. April is off to a slightly better start.
Answer: Elizabeth and Manuel have a distance of 4 meters between them.
Step-by-step explanation: Please refer to the picture attached.
From the information given, Elizabeth is directly behind Hannah and directly left of Manuel. That means we have three points which are HEM, that is, we now have triangle HEM. The longest side (hypotenuse) which is the distance between Hannah and Manuel is given as 5 meters while the other side the distance between Hannah and Elizabeth is given as 3 meters.
We shall apply the pythagoras theorem in solving for the unknown side, EM.
The Pythagoras theorem states thus;
AC² = AB² + BC²
Where AC is the hypotenuse, and AB and BC are the other two sides.
Substituting for the known values, we now have;
5² = 3² + EM²
25 = 9 + EM²
Subtract 9 from both sides of the equation
16 = EM²
Add the square root sign to both sides of the equation
√16 = √EM²
4 = EM
Therefore the distance between Elizabeth and Manuel is 4 meters
Answer:
35/100
Step-by-step explanation:
You have 12% of horses (10÷84=0.1190 and 0.1190 = 12%)
You have 54% of sheep (54÷84=0.535 and 0.535=54%)
Subtract the amount of Sheep and Horses for the total amount of animals
84-(10+54)
You have 35% of cows (29÷84=0.345 and 0.345=35%)
35% to a fraction is 35/100 (simplified version 7/20)
I hope this helps (:
