The solution to the equation x(x+4) = 6 is x = -2 + √10 or x = -2 - √10 after solving with the quadratic formula.
<h3>What is a quadratic equation?</h3>
Any equation of the form where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
We have an equation:
x(x + 4) = 6
By distributive property:
x² + 4x = 6
x² + 4x - 6 = 0
a = 1, b = 4, c = -6
Plugging all the values in the formula:
After calculating:
Thus, the solution to the equation x(x+4) = 6 is x = -2 + √10 or x = -2 - √10 after solving with the quadratic formula.
Learn more about quadratic equations here:
brainly.com/question/2263981
#SPJ1
Answer:
B
Step-by-step explanation:
<u>The question is on inverse of functions</u>
f(x)=2x-9 -----------to find f ⁻(x)
<u>replace f(x) with y;</u>
f(x)=2x-9----------------y=2x-9
<u>replace y with x and x with y</u>
y=2x-9------------------x=2y-9
<u>solve for y</u>
x=2y-9
x+9=2y
(x+9)/2 =y
<u>replace y with g(x) or f ⁻(x)</u>
g(x)=x+9 /2
Answer:
Step-by-step explanation:
The explicit formula for a geometric sequence with first term a1 and common ratio r is ...
In this problem, you are given a1=625 and r=0.2. Filling in those values gives the explicit formula ...
You can either evaluate this function for values of n = 1 through 5, or you can multiply each term by the common ratio to get the next.
a1 = 625
a2 = 625·0.2 = 125
a3 = 125·0.2 = 25
a4 = 25·0.2 = 5
a5 = 5·0.2 = 1
624/12 = 52
He will fill 52 boxes
Answer:
75
Step-by-step explanation:
By the Base Angle Theorem, if two sides of a triangle are equivalent (it is an isosceles triangle), then the two angles opposite to those sides are equal as well.
A triangle adds up to 180 degrees.
180-30
=150
150/2
=75