<span>A(x) = x 2 - 12x + 36
</span><span>A(x) = (x -6)^2
answer: length of a side of the square = x - 6</span>
The quadratic equation use to determine the thickness of the frame, x is 4x² + 10x - 1 = 0.
The correct option is D.
<h3>What is a quadratic equation ?</h3>
A quadratic equation is an algebraic equation of the second degree in x.. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term.
<h3>
According to the given information:</h3>
Total area = 7 square feet
and,
Total area = Length x Width
So,
7 = (2x + 3)(2x + 2)
7 = 4x2 + 4x + 6x + 6
7 = 4x2 + 10x + 6
4x2 + 10x + 6 - 7 = 0
4x2 + 10x - 1 = 0
Hence,
The quadratic equation use to determine the thickness of the frame, x is 4x² + 10x - 1 = 0.
To know more about quadratic equation visit:
brainly.com/question/1863222
#SPJ4
I understand that the question you are looking for is:
Mary wants to hang a mirror in her room. the mirror and frame must have an area of 7 square feet. The mirror is 2 feet wide and 3 feet long. Square with an inner frame with height of 2 ft on the left frame and width of 3 ft on the top. Arrow on the bottom frame with an x and an arrow on the right frame with an x. Which quadratic equation can be used to determine the thickness of the frame, x?
A. x² + 14x - 2 = 0
B. 2x² + 10x - 7 = 0
C. 3x² + 12x - 7 = 0
D. 4x² + 10x - 1 = 0
I believe the answer is 8
Answer:
100 is 40% of 250
Step-by-step explanation:
1. We assume, that the number 250 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 250, so we can write it down as 100%=250.
4. We know, that x% equals 100 of the output value, so we can write it down as x%=100.
5. Now we have two simple equations:
1) 100%=250
2) x%=100
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=250/100
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 100 is what percent of 250
100%/x%=250/100
(100/x)*x=(250/100)*x - we multiply both sides of the equation by x
100=2.5*x - we divide both sides of the equation by (2.5) to get x
100/2.5=x
40=x
x=40
now we have:
100 is 40% of 250
