( 1)
-2 & lt； =(2x-3)/3 & lt； 1
-6 & lt； = 2x-3 & lt； At the same time 3 times 3.
-3 & lt； = 2x<6 plus 3 simultaneously.
-3/2 & lt； = x<3 is divided by 2 at the same time.
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(2)
2x-m & gt； 2-x & gt； m/2+ 1
3x-2m & lt； - 1-x & lt； (2m- 1)/3
There is no solution to this inequality, so:
m/2+ 1 & gt； (2m- 1)/3
3m/2+ 1 & gt； 2m- 1
2> square meters
M< four
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(3) For the quadratic equation of X (m- 1) x 2+2mx+ 1 = 0, then m _ _ _ _ _ _ _ _
This problem needs process and explanation.
(3) The topic of this question is unclear, is there no solution? If so, then:
One-variable quadratic equation has no solution. What is that? =b^2-4ac<； 0,,,, (B is the number of terms of the first unknown, A is the number of terms of the second unknown, and C is the number of terms of the zeroth unknown)
So (2m) 2-4 (m- 1) < 0
m^2-m+ 1<； 0
(m- 1/2)^2<； -3/4
Therefore, no matter what the value of m is, there is a solution. ..
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(4) Because the 3 * 10 8 * 7.3 on the right calculates "1 100 million barrels" .. 3 * 10 8 units are 1 100 million, and 7.3 units are barrels. ..
The unit of 365x on the left is 10,000 barrels, so 10 4 becomes "100 million barrels".
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(5)
1) The purchase price is set to p, the selling price is1.1p. The total quantity is m, and the delivery is only 0.9M
The total purchase price is 100.
The total selling price is 1. 1P * 0.9M =0.99PM, which is smaller than PM, so the supermarket will lose money.
2) The purchase price is P, and the total amount is M, which is only 0.9M, and the price is X% higher.
0.9M *( 1+x)P = PM *( 1+35%)
So x=0.5, it needs to be increased by 50%.
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(6) First of all, because Angle A= Angle A, Angle ADE= Angle ACB, triangle ABC is similar to AED.
Because similar triangles are equal to the corresponding sides,,,,
AD/AC = AE/AB again because AE = AC-EC = 6-X.
So, y/6 = (6-x)/4-? y= 3*(6-x)/2=9-3x/2
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(7) The quadratic equation with one variable has unequal real roots, that is? =b^2-4ac>； 0, (B is the number of terms of the first unknown, A is the number of terms of the second unknown, and C is the number of terms of the zeroth unknown)
What if? =0, there are two equal real roots, if less than 0, there is no real root.
So (k+3) 2-4 * (2k- 1) > 0.
(k- 1)^2>； - 12
Because the left side is always greater than or equal to 0, no matter what value k takes, there are two unequal real roots.
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(8) Let the length of the opposite side of the wall be b and the length of the other side be a,
So .. 0
A=(40-b)/2 ->B=40-2a,,, substituted in the above range: 1 1
The area of 1) is ab, as long as A = 15...B = 10, it can be 150.
2) no. ..
Let one side parallel to the wall be x and the other two sides be y.
So 2x+y = 40>；; =2 radical signs (2xy)
xy & lt=200
So the largest area is 200m^2.
( 10)
Because ACB is a right angle, then the triangle ACB is a right triangle ... according to Pythagorean theorem. AC 2+BC 2 = AB 2。
Let C(x, 0) be on the x axis, so the y coordinate is 0. ..
According to the distance formula between two points: (x-2) 2+4 2+x 2+4 = 4+36.
X=4 or -2-? So point C is (4,0) or (-2,0).