A curve has equation y = x 2 5x + 7 and a line has equation
Question:
A curve has equation y = x2 − 5x + 7 and a line has equation y = 2x − 3.
a. Show that the curve lies above the x-axis.
b. Find the coordinates of the points of intersection of the line and the curve.
c. Write down the set of values of x that satisfy the inequality x2 − 5x + 7 ,2x − 3.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (6 reviews)
a To show that the curve lies above the xaxis we need to show that the ycoordinate is always positiv...View the full answer
Answered By
Tejaswi Kopparapu
Through my training and programming, I have developed the ability to provide clear and concise explanations, offer examples and analogies, and adapt my responses to match the individual learning styles and levels of my users. I have access to a vast database of knowledge and resources that I can draw upon to provide comprehensive and accurate information.
Furthermore, I can offer interactive learning experiences such as quizzes, exercises, and simulations to help reinforce concepts and provide hands-on practice.
Overall, while I may not have hands-on experience as a traditional tutor, I am proficient in providing educational assistance and support to individuals seeking academic help.
0.00
0 Reviews
10+ Question Solved
Related Book For
Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook
ISBN: 9781108407144
1st Edition
Authors: Sue Pemberton, Julian Gilbey
Question Posted:
Students also viewed these Mathematics questions
-
A curve has equation y = x 5 5x 3 + 25x 2 + 145x + 10. Show that the gradient of the curve is never negative.
-
A curve has equation y = 5e 2x 4x 3. The tangent to the curve at the point (0, 2) meets the x-axis at the point A. Find the coordinates of A.
-
A curve has equation y = 2 3x x 2 . a. Express 2 3x x 2 in the form a (x + b) 2 , where a and b are constants. b. Write down the coordinates of the maximum point on the curve. c. Find the two...
-
Based on Exhibits 5 and 6, the value of the lower one-period forward rate is closest to: A. 3.5122%. B. 3.5400%. C. 4.8037%. Meredith Alvarez is a junior fixed-income analyst with Canzim Asset...
-
According to Compendium of Federal Justice Statistics, published by the Bureau of Justice Statistics, the mean time served to first release by Federal prisoners is 32.9 months. Assume the standard...
-
Fill in the blanks: Real GDP (in 2000 dollars) 3,000 5,000 Nominal GDP (in current dollars) 1,200 GDP Deflator (base year 2000) Year 1970 1980 1990 2000 2010 202010,000 2030 20,000 60 6,000 8,000...
-
The rigid block has a weight of 80 kip and is to be supported by posts A and B, which are made of A-36 steel, and the post C, which is made of C83400 red brass. If all the posts have the same...
-
Grant Company purchased the net assets of Harding Company on January 1, 2015, and made the following entry to record the purchase: Provide the correct title for the $40,000 credit account above and...
-
Ida Company produces a handcrafted musical instrument called a gamelan that is similar to a xylophone. The gamelans are sold for $913. Selected data for the company's operations last year follow:...
-
A random sample of six salespeople who attended a motivational course on sales techniques was monitored 3 months before and 3 months after the course. The table shows the values of sales (in...
-
Find the range of values of k for which the equation kx 2 5x + 2 = 0 has real roots.
-
Find the set of values of k for which the line y = k x cuts the curve y = 5 3x x 2 at two distinct points.
-
Coline has the following capital gain and loss transactions for 2018. Short-term capital gain ..........................................$ 5,000 Short-term capital loss...
-
Why are the procedures for conducting an audit complex to understand? Include a summary of the topic, and what can be done to make it easier to understand it.
-
The pipelined starts executing the following five instructions stored in memory addressed from 0x40000000. Initial register contents are as follows. Assume that all other registers are initialized to...
-
Mixers Ltd. is engaged in producing a standard mix using 60 kg of chemical X and 40 kg of chemical Y. The standard loss of production is 30%. The standard price of X is Rs.5 per kg and of Y is Rs.10...
-
What is the name of the technique the Ancient Greeks used to cast bronze statues?
-
On January 1, 2023, Cunningham Corp. is preparing to issue $2 million of five year term bonds (due January 1, 2028) with a 5% stated interest rate and semiannual interest payments. However, it finds...
-
Latanya believes that people are irrational; that each person is irrational in his or her own special way; and that the nature of a person's irrationality sometimes changes from one moment to the...
-
The domain of the variable in the expression x 3/x + 4 is________.
-
Solve each equation for 0 < x < 180. a. cosec 2x = 1.2 b. sec 2x = 4 c. cot 2x = 1 d. 2 sec 2x = 3
-
Solve each equation for 0 < x < 2. a. cosec x = 2 b. sec x = 1 c. cot x = 2 d. 2 cot x + 5 = 0
-
a. Sketch each of the following functions for the interval 0 < x < 2. i. y = 1+ secx ii. y = cot 2 x iii. iv. y = 1 sec x v. y = 1+ cosec 1/2 x vi. b. Write down the equation of each of the...
-
1.1 Explain the two (2) main motives for holding money. (6) 1.2 Explain how the Reserve Bank (SARB) can use accommodation policy to control inflation in South Africa. (6) 1.3 Year The following...
-
Give and briefly discuss an example of a particular pair of commodities that are exchanged between particular two countries due to the relative abundance of particular factors of production.
-
3. The catalytic isomerization of n-pentane is a reversible reaction given below: n-CsH12 i-CsH12 is carried out in a plug flow reactor using a PU/Al2O3 catalyst. The feed rate to the reactor is an...
Study smarter with the SolutionInn App