The answer:
by definition, an exponential function with base c is defined by <span>h (x) = ac^x</span><span>
where a ≠0, c > 0 , b ≠1, and x is any real number.</span>
The base, c, is a constant and the exponent, x<span>, is a variable.
</span>so if we have f(x)=3(3\8)^2x, this equivalent to f(x)=3(3\8)^y(x),
where y (x)=2x, <span>
therefore, the base is 3/8, and the variable is the function </span>y (x)=2x,
Answer:
Y = 1/4x-1
X = 4y-1
Step-by-step explanation:
layout the equations :
x+1/y = 4 y+1/x = 1/4
solve the equations, remember to switch sides switch signs solving the equations will give us the value of the letter
x+1/y = 4
x+1 = 4y
x=4y-1
***
y+1/x = 1/4
y+1 = 1/4x
y = 1/4x-1
So if you solve for n
4n^2+3=7n
make into trinomial
subtract 7n from both sides
4n^2-7n+3=0
if we can factor this, then we can asume that the factors are equal to zero becase if
xy=0 then assume x and/or y=0 so
to factor an equation in ax^2+bx+c where a is greater than 1 then
b=t+z
a times c=t times z
to factor 4n^2-7n+3 you do
4 times 3=12
what 2 numbers multiply to get 12 and add to get -7
the numbers are -3 and -4 so
split up the -7
4n^2-4n-3n+3
group
(4n^2-4n)+(-3n+3)
undistribute
(4n)(n-1)+(-3)(n-1)
reverse distributive property
ab+ac=a(b+c)
(4n-3)(n-1)=0
set each to zero
4n-3=0
add 3 to both sides
4n=3
divide both sides by 4
n=3/4
n-1=0
add 1 to both sides
n=1
n=3/4 or 1
Answer:
I think it could be the X-axis
Answer:
40
Step-by-step explanation:
12 is 30% of 40
30% x X = 12 or 30/100 x = 12
so if you multiply both sides by 100 and divide both sides by 30
we get X = 12 x 100/30
= 40
(BTW if you want to use a calculator just put 12×100÷30 which will give you the answer)