|x| + 9 ≤ <span>7
</span>
Add -9 from each side
<span><span>|x| + 9 </span>+ <span>−9 </span></span>≤ <span>7 + <span>−9
</span></span><span>|x| </span>≤ <span>−<span>2
</span></span>
Now solve the absolute value
(You can't because the absolute value would end up less than 0 and it's not possible for that to happen)
No Solution
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:
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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:
y = -13x+26
Step-by-step explanation:
13x+y=26
y= -13x+26
No they do not have the same number of zeroes
Although the 2 products do seem like they might have the same number of zeroes, 40 x 500 and 40 x 600
both have 3 zeroes before multiplying
if we take the first 2 digits of the 2 numbers being multiplied to get an idea of the answer
if we take 40 x 500 - 4 x 5 = 20
then theres an extra zero added
but if we take 40 x 600 - 4 x 6 = 24
no extra zeroes added to this
so if we finally look at the answers
40 x 500 = 20 000
40 x 600 = 24 000
20000 has 4 zeroes and 24000 has 3 zeroes
so the answer is no they dont have the same number of zeroes