<span>(14x^2+21x) = 7x(2x + 3)
A= L * W
but L = 7x so W = </span>2x + 3
<span>
answer: </span><span>width is (2x +3) feet</span><span>
</span>
This expression can't be solved because we don't know the value of e. Basically what this means is that e, an unknown number, is first being multiplied by 9, and it is then added by 10. You will just leave it as it is.
Answer:
Area of resulting triangle will be 900
.
Step-by-step explanation:
When sides of any polygon if scaled by a factor of k
then area is scaled by
According to the above statement
therefore here in the question since area of original triangle was 36
and both base and height are scaled by a factor of 5.
therefore area of scaled triangle will be
times of the original
that is 25 x 36 which gives 900 
So area of resulting triangle will be 900 
Answer:
100
Step-by-step explanation:
100 is the correct answer
Answer:
When we have a rational function like:

The domain will be the set of all real numbers, such that the denominator is different than zero.
So the first step is to find the values of x such that the denominator (x^2 + 3) is equal to zero.
Then we need to solve:
x^2 + 3 = 0
x^2 = -3
x = √(-3)
This is the square root of a negative number, then this is a complex number.
This means that there is no real number such that x^2 + 3 is equal to zero, then if x can only be a real number, we will never have the denominator equal to zero, so the domain will be the set of all real numbers.
D: x ∈ R.
b) we want to find two different numbers x such that:
r(x) = 1/4
Then we need to solve:

We can multiply both sides by (x^2 + 3)


Now we can multiply both sides by 4:


Now we only need to solve the quadratic equation:
x^2 + 3 - 4*x - 4 = 0
x^2 - 4*x - 1 = 0
We can use the Bhaskara's formula to solve this, remember that for an equation like:
a*x^2 + b*x + c = 0
the solutions are:

here we have:
a = 1
b = -4
c = -1
Then in this case the solutions are:

x = (4 + 4.47)/2 = 4.235
x = (4 - 4.47)/2 = -0.235