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)=136x.
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:
given an angle xOy(xOy<90),the point A is on the Ox ray and the point B is on the Oy ray such that OA=OB, the point C is on the Ax ray anh the point D is on the By raysuch that AC=BD. If AD=7cm then BC=.....cm
Question 1:
Fill the suitable number in the following blank?
.\(343=\)_____\(3\)
Question 2:
The positive value of such that \(\left|2x-3\right|+7=16\) is _______
Question 3:
Given a function \(g\left(x\right)=2\sqrt{x-7}\) . Find the value of \(g\left(11\right)\)?
Answer: The value of \(g\left(11\right)\) is ._________
Question 4:
Find the value of such that \(0,008=\left(0,2\right)^x\).
Answer: . \(x=\)_________
Question 5:
Given a function\(g\left(x\right)=\frac{2}{3-x}\) . Find the value of .\(g\left(1\right)+g\left(2\right)\)
Answer: The value of \(g\left(1\right)+g\left(2\right)\) is ._______
Question 6:
Suppose that \(\frac{7y-x}{2x+y}=\frac{1}{3}\) then the ratio of \(x\) to \(y\) is .________
Question 7:
If \(x\) is directly proportional to \(y\) with the scaling factor is 8, \(z\) is directly proportional to \(x\) with the scaling factor is 4.
Then \(z\) is directly proportional to \(y\) with the scaling factor is______ .
Question 8:
The maximum value of \(A=\frac{6}{2.\left(x-3\right)^2+3}\) is .______
Question 10:
Suppose that\(\frac{7-3x}{5}=\frac{y+4}{3}=\frac{6x-y}{5}\) . Find the ratio of \(y\) to \(x\)
Answer: The ratio of \(y\) to \(x\) is .______________-
(write your answer by decimal in simplest form)
The average of six numbers is 4. If a seventh number is added, the average of seven numbers will be 5. Then the seventh number is .
if x/3-1/y=1/6( with x and y are two integer numbers)
then the maximum value of y-x is ....
Find the values of x and y such that 3x=5y and 2x-3y=5 .
Answer: The value of x and y are ............., respectively.
(used ";" between the numbers)
A function f is defined for non-negative integers n and k as follows f(0,n) = n + 1; f(k,0) = f(k-1,1) ; f(k+1,n+1) = f(k,f(k+1,n)). Evaluate f(2,2).