There are four topics for the first answer, three topics for the second answer, two topics for the third and one topic for the fourth. The number of ways to answer is:
Answer:
Solving steps:
<u>find the value of y when x = 1</u>
=> y = 8(1)
multiply 8 by 1
=> y = 8

the question asks us to rationalise the given expression !
so let's start ~

hope helpful :D
Answer:
x=4+√5 or x=4−√5
Step-by-step explanation:
Multiply both sides by x-4.
x2−8x+16=5
x2−8x+16−5=5−5(Subtract 5 from both sides)
x2−8x+11=0
For this equation: a=1, b=-8, c=11
1x2+−8x+11=0
x=
−b±√b2−4ac
2a
(Use quadratic formula with a=1, b=-8, c=11)
x=
−(−8)±√(−8)2−4(1)(11)
2(1)
x=
8±√20
2
x=4+√5 or x=4−√5
Answer:
£1300
Step-by-step explanation:
The ratio of their accounts = 3 : 7 = 3x : 7x ( x is a multiplier )
Terry puts £220 in his account, that is 3x + 220
Fay withdraws £300, that is 7x - 300
They now have the same amounts in their accounts, thus
7x - 300 = 3x + 220 ( subtract 3x from both sides )
4x - 300 = 220 ( add 300 to both sides )
4x = 520 ( divide both sides by 4 )
x = 130
Thus
Together they had 3x + 7x = 10x = 10 × 130 = £1300 altogether