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
Answer:
C. 52.5
Step-by-step explanation:
The total from W(-20) to Z(120) is 140.
You can add up all of the numbers in the ratio, 2:3:3, to get 8
Divide 140 by 8 to get 17.5
Multiply 17.5 times the number in the ratio for each segment, so the new ratio would be 35 : 52.5 : 52.5
Since you are trying to find segment XY, which was the 2nd number in the ratio, you would get your answer as 52.5
Answer:
300 kilometers per hour
Step-by-step explanation:
See the step-by-step solution in the picture attached below.
I hope this answer will help you. Have a nice day !
Answer:
280
Step-by-step explanation:
<1=100 <4=150 <3=30
mADB=100+150+30=280
1. we know she needs 3 packs of biscuits
2. Shop A you only need to pay for 2 packs
3. Shop B you only need to pay for 2 packs
4. Shop C you need to pay for all three
5. so we know C is out of the option.
so shop A and B will cost the least
