Answer:
x=9,-1 and 
Explanation:
We are given the quadratic equation 
, which we then compare with the standard form of a quadratic. The general quadratic is identified as 
. From our given equation, it follows that a=1,b=-8,c=-9
. To calculate the discriminant, we insert these values into the formula 
. Now, to find the value of x
The formula is 
. The resulting equation will be obtained by rewriting the original equation through rearranging 9 to the right side and applying negative signs within brackets to convert the expression into the form of
.
-10w - 400 = o
w= weeks
o = remaining balance
Answer:
Width of the rectangular prism
To determine the volume of the rectangular prism, we utilize the following formula:
v = lwh
Where:
v = volume
l = length
w = width
h = height
Now,
The variables provided in the problem include:
v = 138.24 cubic inches
h = 9.6 inches
l = 3.2 inches
w = ?
By substituting these values into the volume formula, we have:
138.24 = 3.2 * w * 9.6
138.24 = 30.72 * w
w = 138.24/30.72
w = 4.5
⇒ Therefore, the width of the rectangular prism measures 4.5 inches.
-keeping a thorough record of the steps and outcomes of a scientific experiment; -conducting an experiment to examine the impacts of gravity on Earth; -solving an expression in stages by adhering to the order of operations.
Answer:
y = 12x + 16
Step-by-step explanation:
First, simplify both sides of the equation and then isolate the variable.
In Step 1, add 11 to each side.
−1
/2
y+11+−11=6x+3+−11
−1
/2
y=6x−8
In Step 2, divide each side by (-1)/2.
This leads to
y = 12x + 16
