What is the difference between a great deal of and a great deal

What is the difference between a great deal of and a great deal

A great deal of work has been done
When more than one is the subject directly, the predicate is singular, so more than two is the subject, and the predicate is singular or plural?
More then one__ is__ (be) here____ (be) here.
More than two is a whole subject here, and the whole subject uses the singular predicate
If we emphasize each of them, we should use the plural predicate
In conclusion, "is" should be used
The collocation of the same kind is singular
singular
is ,are
Is the predicate verb singular or plural?
"Far more than one" means "more than one". As a subject, it is often singular
Singular, according to its singular form, one to answer, there are other, such as many a student, etc.
Singular, our predicate is connected with one. English is such a habit.
Use the plural. Because it means "far more than one."
If there is only one element a in the set a composed of the roots of the equation x + X + B = 0, find the value of a + B
Because set a consists of the roots of the equation, and there is only one element in set a
So a is the only root of the equation, and △ = 0
There are: 2a2-a + B = 0
（a-1）2-4b=0
A = 1 / 3
b=1/9
So a + B = 4 / 9
There are two equal roots of real number a, 2A = - (A-1), a = B, and a = 1 / 3, B = 1 / 9, a + B = 1 / 3 + 1 / 9 = 4 / 9
The definition field of function f (x) = LG (x + 2) - √ (1-x) is
Two conditions are guaranteed: x + 2 > 0, binge Che 1-x > = 0, and the result - 1 is obtained by comprehensive consideration
X is greater than - 2 and less than - 1
How to find the left and right limits of this function? As shown in the figure
incorrect
Break point
Let the set of roots of equation x ^ 2 + ax + B = x have only one element a, and find the values of a and B
That is, the equation has only one root,
From the root and coefficient, a * a-4b = 0
A * a + A * a + B = a can be obtained by substituting a into the equation
By substituting a * a = 4B into the second formula, we can get:
4b+4b+b＝a
That is: a = 5b, substituted in duplicate
（5b）*（5b）-4b=0
The solution is: B (25b-4) = 0
B = 0, or B = 4 / 25
According to a = 5B
When B = 0, a = 0, B = 4 / 25, a = 4 / 5
That is, the equation has only one root, so a * a-4b = 0 and a * a + A * a + B = 0, so B = 0, a = 0
The domain of function f (x) = LG (x ^ 3-x ^ 2)
Domain: X & # 179; - X & # 178; > 0
x²(x-1)>0
∵x²≥0
∴x>1
Proof: y = xcosx is not a periodic function. What about y = xsinx?
Higher mathematics problems, but if possible, please use high school knowledge to solve
Let y = x * SiNx be a periodic function and the period be a, then there are:
x*sinx=(x+a)sin(x+a)=(x-a)sin(x-a)
From the following formula, it can be concluded that:
x(sin(x+a)-sin(x-a))=-a(sin(x-a)+sin(x+a))
2xcosxsina=-2asinxcosa
That is xcosx / SiNx = - acosa / Sina
The right is a certain value, and the left is a function of X, which cannot be a certain value
So the original hypothesis is not tenable, but a cannot be the period of y = x * SiNx, and the original function cannot be a periodic function
In the same way
Because y = xcosx is a composite function, y = x is not a periodic function
So it's not a periodic function
Let the roots of the equation AX ^ 2 + 2x + 1 = 0 (a belongs to R) form the set A. if there is only one element in a, then the value of a is?
There is only one element in a, that is, ax ^ 2 + 2x + 1 = 0 has only one root
There are two situations
When a = 0, 2x + 1 = 0, x = - 1 / 2, there is only one
2. When a ≠ 0, the discriminant = 2 & # 178; - 4A = 0 has the same root and only one
The solution is a = 1
In conclusion: a = 0 or 1
To sum up, the value of a is 1 or 0. When it is a linear equation, a = 0. When it is a quadratic equation, a = 1. If there is only one element in a, then the equation has only one root, then the discriminant = 2 - 4A = 0, a = 1. I hope it can help
-1. Root is 1. If it's convenient, can you talk about the process? Just said wrong, you have to first consider whether it is a quadratic equation with one variable. If it is a quadratic equation with one variable, its root must have only one element. If it is a quadratic equation with one variable, it must have two roots (equal roots also count), but the same root can also be considered as one. Then it must be able to form a complete square {(a + b) ^ 2 = 0}. Slowly ponder... Expand
-Question: if it is convenient, can you talk about the process?