Answer:
x = 
, 
Step-by-step explanation:
6 = x^2 - 10x
0 = x^2 - 10x - 6
Let's use the quadratic formula. ( 
)
x = 
= 5 +- 
x = ,
"Step 1: log 3^(x+1) = log15" is the step among the following choices given in the question that she did incorrectly. The correct option among all the options that are given in the question is the first option or option "A". I hope that this is the answer that has actually come to your desired help.
Answer:
47
Step-by-step explanation:
There are total 52 cards.
Certain number of cards are lost.
When divided by 4, leaves 3 cards remain ; 51, 47, 43, 39, . . .
When divided by 5, leaves 2 cards remain : 47, 42, 37, 32, . . .
When divided by 3, leaves 2 cars remain : 50, 47, 44, 41, . . .
The common number among the three is 47.
Answer:
9x-2
Step-by-step explanation:
Since you are adding the two functions, you should first start adding like terms. 4x + 5x is 9x. -8 + 6 is -2. Thus the value of (f+g)(x) is 9x-2.
<u>Question 8</u>
a^2 + 7a + 12
= (a+3)(a+4)
When factorising a quadratic, the product of the two factors should equal the constant term (12), and the sum of the two factors should equal the linear term (7). To find the two factors, list out the factors of 12 (1x12, 2x6, 3x4) and identify the pair that adds up to 7 (3+4).
An alternative method if you get stuck during your exam would be to solve it algebraically using the quadratic formula and then write it in the factorised form.
a = (-7 +or- sqrt(7^2 - 4(1)(12)) / 2(1)
= (-7 +or- sqrt(1))/2
= -3 or -4
These factors are the negative of the values that would go in the brackets when written in factorised form, as when a = -3 the factor (a+3) would equal 0. (If it were positive 3 instead, then in the factorised form it would be a-3).
<u>Question 10</u>
-3(x - y)/9 + (4x - 7y)/2 - (x + y)/18
Rewrite each fraction with a common denominator so you can combine the fractions into one.
= -6(x - y)/18 + 9(4x - 7y)/18 - (x + y)/18
= (-6(x - y) + 9(4x - 7y) - (x + y)) /18
Expand the brackets and collect like terms.
= (-6x + 6y + 36x - 63y - x - y)/18
= (29x - 58y)/18
= 29/18 x - 29/9 y
