Hello :
x²-6x+3² = (x-3)².....( answer : <span>a) (3, 0) )</span>
What is the bottom length
We can start this problem by finding out what the lowest consecutive number's value is (x). Since consecutive numbers are numbers that are 1 apart from each other, the sum of 9 consecutive numbers would look like
x + (x+1) + (x+2) + (x+3) + (x+4) + (x+5) + (x+6) + (x+7) + (x+8)
Since we know that they equal 153,
x + (x+1) + (x+2) + (x+3) + (x+4) + (x+5) + (x+6) + (x+7) + (x+8) = 153
Now we combine like terms
9x + 36 = 153
Simplify
9x = 117
x = 13
Now, we need to find what the 5th consecutive number is equal to. The fifth consecutive number is (x+4), so 13 + 4 is 17, meaning that the 5th of 9 consecutive numbers that add up to 153 is 17.
Answer:
52.5 kg ANS
Step-by-step explanation:
Weight of a pile of sand = 90kg
Ratio of weight of sand in three bags = 2:3:7
Let the weight be 2x kg, 3x kg, 7x kg respectively A.T.Q.
= 2x + 3x +7x = 90
= 12x = 90
= X= 90/12
= X = 7.5 kg
Weight of sand in medium bag =
= 3 × 7.5
= 52.5 kg ANS
I hope this answer is correct
This can be done in two ways
One method is to check the answer options in both f(x) and g(x) and select the one that matches for both.
The second is to form a quadratic equation and solving as such:
f(x) = g(x)
-x² + 4x + 12 = x + 8
x² - 3x - 4 = 0
(x - 4)(x + 1) = 0
x = 4; x = -1
Only x = 4 is given in the options, so the answer is B