If the zero power of (x-3) + the negative power of X is meaningful, then the value range of X is?

If the zero power of (x-3) + the negative power of X is meaningful, then the value range of X is?


Because the original formula is meaningful, x-3 is not equal to 0 and X is not equal to 0, that is, X is not equal to 0 and X is not equal to 3



Add a plus or minus sign to 1,2,3,4,5,6,7,8,9 to make the result equal to 100
Can not use multiplication and division, just add and subtract, can add brackets, perhaps also through the combination of numbers


123-45-67+89=100



Let the two roots of quadratic function f (x), f (0) = 1, f (x) - 1 = 0 be 0 and 1 respectively


Let f (x) = ax ^ 2 + BX + C, from F (0) = 1, we can get C = 1, and f (x) - 1 = 0, that is, f (x) = 1, then we can get ax ^ 2 + BX + 1 = 1, that is, ax ^ 2 + BX = 0, that is, X (AX + b) = 0, and two roots are 0 and 1 respectively, so x = - B / a = 1, that is, B = - A. due to the lack of other conditions, the values of a and B cannot be determined



What is the difference between dot multiplier and difference multiplier? When to use what multiplier?


The dot multiplication sign is used for multiplication of letters, and the difference multiplication sign is generally used for multiplication of numbers, because the difference multiplication sign is more like the commonly used unknown x, which is easy to be confused



If ax square + BX + 2 is greater than 0 and the solution set is (- 1 / 2,1 / 3), then a + B is equal to 0


The inequality is constructed from the solution set (- 1 / 2,1 / 3)
(x+1/2)(x-1/3)0
By contrast, it's better
a=-12 b=-2
a+b=-12-2=-14



There are the following corresponding data between the advertising expenses X and the sales amount y of a certain product: X 24568 y 30 40 60 50 70 (1) draw the scatter diagram; (2) find the linear regression equation; (3) predict the sales amount when the advertising expenses are 7 (million yuan)


(1) (2). X = 5,. Y = 50.5i = 1x2i = 145, 5I = 1xiyi = 1380 let the regression equation be y = BX + A, then B = 5I = 1xiyi-5. X.y / 5I = 1x2i-5. X2 = 1380-5 × 5 × 50 / 145-5 × 52 = 6.5A =. Y − b.x = 50 − 6.5 × 5 = 17.5, so the regression equation is y = 6.5x + 17.5 (3) when x = 7, y = 6.5 × 7 + 17.5 = 63, so when the advertising expense is 7 (million yuan), the sales is about 63 (million yuan)



A high school mathematics problem of area by definite integral is shown in the figure,


Look at the picture



O is the midpoint of line AB, P is a point on AO, known BP is 8 cm longer than AP, find the length of Op
OM is the bisector of ∠ AOB, OP is a ray in ∠ AOM. It is known that ∠ BOP is 28 ° larger than ∠ AOP, and the size of ∠ mop can be calculated
How many degrees does the minute hand of the clock turn in one minute? How many degrees does the hour hand turn in one minute?
There's no explanation
The direct answer is OK... Hurry up


1.OA=OB
BP-AP=BO+OP-(AO-OP)=8cm
OP=4 cm
2.∠AOP+∠MOP=∠BOM
∠BOM+∠MOP-∠AOP=28
The sum of the two formulas gives 2 ∠ mop = 28
Therefore, mop = 14
3. Minute hand: 360 * 1 / 60 = 6 degrees
Hour hand: 360 / 12 / 60 = 0.5 degrees



P is a point on the ellipse x ^ 2 / 100 + y ^ 2 / 64. F 1 ~ F 2 is the focal point. If the angle F 1 P F 2 = 60 degrees, then the area of the triangle P F 1 F 2 is,
x^2/100+y^2/64=1


P is a point on the ellipse x ^ 2 / 100 + y ^ 2 / 64 = 1, F1, F2 is the focus, angle f1pf2 = 60 degrees, a = 10, B = 8, C = 6, | F1F2 | = 12, let | Pf1 | = t, then | PF2 | = 20-t, according to the cosine theorem, 144 = T ^ 2 + (20-t) ^ 2-T (20-t) = 400-3t (20-t), | t (20-t) = 256 / 3, | pf1f2 area = (1 / 2) t (20-t)



A right triangle vegetable field, two right angles are 16 meters, the area of this vegetable field is how many square meters?


16 × 16 △ 2 = 128 (M2)