Câu 1 The function mm is defined on the real numbers by m(k) = \dfrac{k+2}{k+8}m(k)= k+8 k+2 ​ . What is the value of 10\times m(2)10×m(2)? Answer: Câu 2 The function ff is defined on the real numbers by f(x)= ax-3f(x)=ax−3. What is the value of a if f(3)=9f(3)=9? Answer: Câu 3 The function ff is defined on the real numbers by f(x)= 2x+a-3f(x)=2x+a−3. What is the value of a if f(-5)=11f(−5)=11? Answer: Câu 4 The function ff is defined on the real numbers by f(x) = 2 + x-x^2f(x)=2+x−x 2 . What is the value of f(-3)f(−3)? Answer: Câu 5 Given a real number aa and a function ff is defined on the real numbers by f(x)=-6\times|3x|-4f(x)=−6×∣3x∣−4. Compare: f(a)f(a) f(-a)f(−a) Câu 6 There are ordered pairs (x;y)(x;y) where xx and yy are integers such that \dfrac{5}{x}+\dfrac{y}{4}=\dfrac{1}{8} x 5 ​ + 4 y ​ = 8 1 ​ Câu 7 Given a negative number kk and a function ff is defined on the real numbers by f(x)=\dfrac{6}{13}xf(x)= 13 6 ​ x. Compare: f(k)f(k) f(-k)f(−k) Câu 8 Given a positive number kk and a function ff is defined on the real numbers by f(x)=\dfrac{-3}{4}x+4f(x)= 4 −3 ​ x+4. Compare: f(k)f(k) f(-k)f(−k). Câu 9 A=(1+2+3+\ldots+90) \times(12 \times34-6 \times 68):(\dfrac{1}{3}+\dfrac{1}{4}+\dfrac{1}{5}+\dfrac{1}{6})=A=(1+2+3+…+90)×(12×34−6×68):( 3 1 ​ + 4 1 ​ + 5 1 ​ + 6 1 ​ )= Câu 10 Given that \dfrac{2x+y+z+t}{x}=\dfrac{x+2y+z+t}{y}=\dfrac{x+y+2z+t}{z}=\dfrac{x+y+z+2t}{t} x 2x+y+z+t ​ = y x+2y+z+t ​ = z x+y+2z+t ​ = t x+y+z+2t ​ . The negative value of \dfrac{x+y}{z+t}+\dfrac{y+z}{t+x}+\dfrac{z+t}{x+y}+\dfrac{t+x}{y+z} z+t x+y ​ + t+x y+z ​ + x+y z+t ​ + y+z t+x ​ is

The function g is defined on the real numbers by g(x) = 2x + x(x+3)g(x)=2x+x(x+3).  What is the value of g(2)g(2)?
 Answer:

Câu 2

The function p is defined on the real numbers by p(q) =\dfrac{q^2-q}{(q+1)q}p(q)=(q+1)qq2−q​. What is the value of 10\times p(-11)10×p(−11)?
Answer:

Câu 3

The function p is defined on the real numbers by p(q) = 3-\left| {3q-7} \right|p(q)=3−∣3q−7∣. What is the value of p(-2)p(−2)?
 Answer:

Câu 4

The function f is defined on the real numbers by f(x)= 2x+a-3f(x)=2x+a−3. What is the value of a if f(-3)=6f(−3)=6?
Answer:

Câu 5

Given a negative number k and a function ff is defined on the real numbers by f(x)=\dfrac{6}{13}xf(x)=136​x.
Compare: f(k)f(-k)

f(-k)f(−k)

The function  is defined on the real numbers by . What is the value of ?
 Answer: 

Câu 2:
The function  is defined on the real numbers by . What is the value of a if ?
 Answer: 

Câu 3:
The function  is defined on the real numbers by . What is the value of ?
 Answer: 

Câu 4:
The function  is defined on the real numbers by . What is the value of ?
Answer:

Câu 5:
Given triangle ABC, m∠B=60°. Two bisectors AP and CQ intersect at I.The measure of angle AIC is  

Câu 6:

Câu 7:

Câu 8:
Given a negative number  and a function  is defined on thereal numbers by .
Compare:   

Câu 9:
Given a positive number  and a function  is defined on thereal numbers by .
Compare:   .

Câu 10:
Given a real number  and a function  is defined on the realnumbers by .
Compare:   

1) ABC is a triangle where M is the midpoint of segment BC.

MD and ME are two bisectors of triangles AMB and AMC respectively.

If AM= m; BC = a . Then DE = ???

2)\(\dfrac{1}{\left(x+29\right)^2}+\dfrac{1}{\left(x+30\right)^2}=\dfrac{5}{4}\)

What is the product of all real solutions to the equation above?

3) The sum of all possible natural numbers n such that

\(n^2+n+1589\) is a perfect square is.....

4) Given that x is a positive integer such that x and x+99 are perfect squares

The sum of integer x is ...

5)The operation @ on two numbers produces a number equal to their sum minus 2. The value of

(...((1@2)@3....@2017)

6) Given f(x)=\(\dfrac{x^2}{2x-2x^2-1}\)

=> \(f\left(\dfrac{1}{2016}\right)+f\left(\dfrac{2}{2016}\right)+f\left(\dfrac{3}{2016}\right)+...+f\left(\dfrac{2016}{2016}\right)\)

Các bn giúp mk vs >>> tks nha!!!

câu 1: A rectangle has a length of 60cm and a width of 30cm. It is cut into 2 indentical squares, 2 identical rectangles and a shaded small square. Find the area of the shaded square.
Find the area of the shaded square.

câu 2.The number of ordered pairs (x; y) where x, y ∈ N* such that x²y² - 2(x + y) is perfect square is ..........

câu 3.Let ABCD be the square with the side length 56cm. If E and F lie on CD, C respectively such that CF = 14cm and EAF = 45^o then CE = ........cm.

câu 4.

Given P(x) = (x² - 1/2 x - 1/2)¹⁰⁰⁸
If P(x) = a₂₀₁₆x²⁰¹⁶ + a₂₀₁₅x²⁰¹⁵ + ..... + a₁x + a₀
then the value of the sum a₀ + a₂ + a₄ + .... + a₂₀₁₄ is ...........

Let f(x) the polynomial given by f(x) = (1 + 2x + 3x² + 4x³ + 5x⁴ + 84x⁵)
Suppose that f(x) = a_o + a₁x + a₂x² + ..... + ..... + a₅₀x⁵⁰.
The value of T = a₁ + a₂ + .... + a₅₀ is .........

Câu 1: Given that  is divisible by 9. What is the value of ? 
Câu 2: How many elements of the set A are divisible by 9?
Câu 3:A is a set of multiples of 12 less than 12. How many elements does the set A have?
Câu 4:Find the remainder when  is divided by 3.
Câu 5:Given that 511 is the sum of two prime numbers  and , . What is the value of ?
Câu 6:Given that . Find the value of .
Câu 7:Given that . How many divisors does the number A have?
Câu 8:Find the natural number  so that the product of  and 5 is a prime number.
Câu 9:
Given that . How many divisors does the number A have?
Câu 10:
Given that . How many divisors the number A have?
 

toan quoc te nha

Question 1:
There are two parallel lines in the figure. What is the value of x? 

 Answer: x = 

Question 2:


ABC and RTS are similar triangles.
The value of x is 

Question 3:
If x<0 and 5x+8+|3x|=0 then x=

Question 4:
I am a multiple of 70 between 400 and 600. My tens digit is odd. Who am I?

Answer: 

Question 5:
How many triples of integers (a,b,c) are there such that 
 ? 
Answer:  triples.

Question 6:
Each of the 37 students in the grade 8 at a school has one dog or one cat or both a dog and a cat. Twenty students have a dog and 24 students have a cat. 
How many students have both a dog and a cat?
Answer:  students.

Question 7:
The sum of 2 positive integer numbers is greater than their product if the smaller number is 

Question 8:
How many different real numbers satisfy the following equation?
 
Answer: 

Question 9:
The area of trapezoid ABCD is 180   .The altitude is 8 cm,AD is 10 cm,and BC is 17 cm.
What is AB,in centimeters?

Answer:  cm.

Question 10:
There are 115 cars in a village of 26 families. Each family has either 4 or 5 cars. 
How many families have 4 cars? 
 Answer:  families.