Answer:
Numbers =(6,-2 )
Step-by step explanation:
Given
the sum of two numbers is four and the sum of their squares minus three times their product is 76,
Let the first term =X
Second term will be=4-x
So
X^2+(4-x)^2-3x(4-x)=76
x^2+16+x^2-8x-12x+3x^2=76
5x^2-20x+16=76
5x^2-20x-60=0
5(x^2-4x-12)=0
So x^2-4x-12=0
x^2-(6-2)x-12=0
x^2-6x+2x-12=0
X(x-6)+2(x-6)=0
(X-6)(X+2)=0
X=6,-2
Let X=6 and -2 then numbers will be 6 and (4-6)=-2
To get 1/10 -> 1000/10 =100
and 1% of 100 -> 100/100 = 1 or 1%
100 for question 1
1 for q2
Answer:
f^-1(x)=1/4x+2
Step-by-step explanation:
y=4x-8
change x and y
x=4y=8
switch sides
4y-8=x
add 8
4y=x+8
divide both sides by 4
y=1/4x+2
substitute f^-1(x) for y
f^-1(x)=1/4x+2
Answer:
Work out the number of boys and girls in each class below.
In class 8T, there are 9 boys.
The ratio of boys to girls is 1:2
Number of boys Number of girls = it's 0
Answer:
x = 10
Explanation:
Note the following rules before we begin:
2 ln(a) = ln (a²)
ln (a) + ln (b) = ln (ab)
Now, for the given:
ln(20) + ln(5) = 2 ln(x)
ln(20*5) = ln(x²)
ln(100) = ln(x²)
This means that:
100 = x²
Therefore:
either x = 10 .........> acceped
or x = -10 .........> rejected as no negatives are allowed within ln functions
Hope this helps :)
