1. Solve for x: - 1/2 × ∣ 2x + 6 ∣ + 2 = 0
A. x = 5 or x = 1
B. x = 5
C. x = -5 or x = -1
D. x = -1
E. x = -6
2. A patient was given medicine for pain. The graph represents the level of pain as a function of time after taking the medicine. Which type of function best models the pain level as a function of time?
A. linear
B. quadratic
C. logarithmic
D. exponential
E. None of them
Giúp mình làm các câu hỏi này nha: (càng nhiều càng tốt!)
1. Tiffany and Ryan deposit some amount in a joint bank account such that total balance remains 500. If amount deposited by Tiffany and Ryan are plotted as a linear graph on xy plane, find the area between this graph and the coordinate axis.
2.A group of workers is paving a road. If they pave 200m of the road a day, they will need 3 more days. to finish the work. If they pave 240m of the road a day, they will finish the work 2 days in advance. How long is the road, in meter?
3. Mrs. Darlie has a silver ring, a golden ring and a diamond ring. She put them on her left hand. Each ring can be on any of the five fingers. When there are two or three rings on the same finger, if the order in which they are put is different, that couunt as a different way. How many different ways for Lea to put these rings?
4. Let P(x) be a polynomial with degree 3 such that P(1)=3, P(2)=3, P(3)=7, P(4)=21. Find the value of P(5).
Giúp mình làm các câu hỏi này nha: (càng nhiều càng tốt!)
1. Tiffany and Ryan deposit some amount in a joint bank account such that total balance remains 500. If amount deposited by Tiffany and Ryan are plotted as a linear graph on xy plane, find the area between this graph and the coordinate axis.
2.A group of workers is paving a road. If they pave 200m of the road a day, they will need 3 more days. to finish the work. If they pave 240m of the road a day, they will finish the work 2 days in advance. How long is the road, in meter?
3. Mrs. Darlie has a silver ring, a golden ring and a diamond ring. She put them on her left hand. Each ring can be on any of the five fingers. When there are two or three rings on the same finger, if the order in which they are put is different, that couunt as a different way. How many different ways for Lea to put these rings?
4. Let P(x) be a polynomial with degree 3 such that P(1)=3, P(2)=3, P(3)=7, P(4)=21. Find the value of P(5).
Let a , b and c be positive real numbers such that a + b + c = 3 . Find the minimum value of the expression .
\(P=\frac{1}{a^2}+\frac{1}{b^2}+\frac{1}{c^2}+\frac{1}{a^2+b^2+c^2}\)
Given a triangle ABC. D is a point on AB and E is a point on AC so that DE//BC and \(\frac{BC}{DE}=\sqrt{2}\), F is a point on BC and G is a point on AB so that FG//AC and \(\frac{AC}{FG}=\sqrt{2}\), H is a point on BC and I is a point on AC so that HI//AB and \(\frac{AB}{HI}=\sqrt{2}\). FG meets HI at X, DE meets HI at Y and DE meets FG at Z.
i) Prove that \(DY=ZE\)
ii) Find the exactly value of the ratio \(\frac{YZ}{BC}\)
1.If 2x-y=5 then the value of M=\(\left(x+2y-3\right)^2-\left(6x+2y\right)\left(x+2y-3\right)+9x^2+6xy\)
\(+y^2\)
2.The free coefficient in the following poly nomaial: \(\left(2x-2\right)\left(x+1\right)\left(7-x^2\right)is:\)
3.The greatest integer number x such that \(\frac{2x-1}{x-3}-1< 0\) is:
4.How many of the integer n such that satisfy the inequality \(\left(n-3\right)^2-\left(n-4\right)\left(n+4\right)< =43\) are less than 3?
5.The opposite fraction of \(\frac{x-2}{7-x}\) is:
The area of triangle ABC is 300 . In triangle ABC, Q is the midpoint of BC, P is a point on AC between C and A such that CP = 3PA . R is a point on side AB such that the area of \(\Delta\)PQR is twice the area of \(\Delta\)RBQ . Find the area of \(\Delta\)PQR
The value of k such that the question (2x+1) (3k - 5x) - 5(x + 2) = 40 that has a soluton is 2
a) Cho \(x=\sqrt{\frac{1}{2\sqrt{3}-2}-\frac{3}{2\sqrt{3}+2}}\) .Tính GTBT: \(A=\frac{4\left(x+1\right)^{2017}-2x^{2016}+2x+1}{2x^2+3x}\)
b) Cho đa thức: \(f\left(x\right)=ãx^2+bx+c\).Biết f(x)>0 với mọi x thuộc R và a>0. Chứng minh rằng: \(\frac{5a-3b+2}{a-b+c}>1\)