So our two equations are y=-8x-4 and y=-16, and since in both equations, something equals the same y, those two are the same. So we can combine the two into -16=-8x-4. In the question, they are asking to solve for x. So to do that, you need to isolate your variable. Now for solving algebraic equations, you use reverse PEMDAS (SADMEP), meaning you add 4 to both sides to clear the -4 one the rights side to get -12=-8x. Then you divide both sides by -8 to get 12/8, which simplifies to 3/2.
On average, people visit Thrillville 2 more times per year than Funland.
<h3><u>Averages</u></h3>
To determine how many more times per year, on average, do people visit Thrillville than Funland, the following calculation must be performed:
- Funland: 4,1,2,1,5,6,3,2,4,3,2,6,1,3,2 = 45
- 45 / 15 = 3
- Thrillville: 8,6,5,7,2,5,4,2,1,9,3,8,3,7,5,2,9,4,2,8 = 100
- 100 / 20 = 5
- 5 - 3 = 2
Therefore, on average, people visit Thrillville 2 more times per year than Funland.
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The fraction equivalent is 1/3 = 2/6 because when u simplify 2/6 =1/3
We know that
Jayden cleans 12 rooms in---------------> <span>6 hours
X rooms-------------------------------------> 4 hours
X=4*12/6--------> 48/6---------> 8 rooms
that means </span>Jayden cleans in 4 hours 8 rooms
Chandra cleans 12 rooms in---------------> 12 hours
X rooms-------------------------------------> 4 hours
X=4*12/12--------> 48/12---------> 4 rooms
that means Chandra cleans in 4 hours 4 rooms
the answer is
<span>Jayden = 8 blankrooms
</span><span>Chandra = 4 blankrooms</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.
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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