Answer:
y value = 49
Step-by-step explanation:
You are going to be completing the square
y = - x^2 - 10x + 24 Take a minus outside the brackets for the first 2 terms.
y = - (x^2 + 10x) + 24
Take 1/2 the linear term (1/2 10 and square it. Put that value inside the brackets. 1/2* 10 =5; 5^2 = 25
y = - (x^2 + 10x + 25) + 24
Add 25 outside the brackets.
y = -(x^2 + 10x + 25) + 24 + 25. You should stop here and consider why you are adding 25 outside the brackets. It is because there is a - sign in front of the trinomial and what is inside the brackets is really - 25 when the brackets are removed. Therefore to balance that, you add 25.
Now complete the square.
y = - ( x + 5)^2 + 49
The value you seek is 49.
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I'll confirm this with a graph.
Answer:
The number is 83,194
Step-by-step explanation:
The value of 9 in the given number is 900
So
out of all the options, we want a number in which the value of 9 there is 1/10 of 900 which is 90
The correct answer here is 83,194
Answer:
The percentage = (1.06/15.9) x 100℅
= 6.67℅
Step-by-step explanation:
For the two pan to be balanced in other to measure an object's accurate weight, the fulcrum must be exactly in the mid point of the distance/separation between the two pans.
In the case in this question, the dishonest shopkeeper has shifted the fulcrum by 1.06cm.
The pan separation is 31.8cm
The fulcrum position must be 31.8/2 = 15.9cm, for it to be balanced.
The percentage by which the true weight marked up by the shopkeeper is:
(1.06/True fulcrum position) x 100℅
Answer:
24x^2(x-2)
Step-by-step explanation:
The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers
