Maths-
General
Easy
Question
Hint:
Hint:
- Linear equation is an equation whose degree is one.
The correct answer is: 2.5
Explanation:
- We have given an equation a(x + b) = 4x + 10. And has infinite solution
- We have to find the value of b
Step 1 of 1:
The given equation is a(x + b) = 4x + 10
If it has infinite solution, it means it is true for all real x
So,
ax + ab = 4x + 10
ax = 4x
a = 4
And
ab = 10
4b = 10
b = 2.5
Hence, The value of b is 2.5 .
Related Questions to study
Maths-
The scatterplot above shows the number of registered voters, , x and the number of people who voted in
the last election, y , for seven districts in a town. A line of best fit for the data is also shown. Which of the following could be the equation of the line of best fit?
The scatterplot above shows the number of registered voters, , x and the number of people who voted in
the last election, y , for seven districts in a town. A line of best fit for the data is also shown. Which of the following could be the equation of the line of best fit?
Maths-General
Maths-
The relationship between x and y can be written as y = mx , where m is a constant. If y = 17 when x =a , what is the value of y when x = 2a ?
The relationship between x and y can be written as y = mx , where m is a constant. If y = 17 when x =a , what is the value of y when x = 2a ?
Maths-General
Maths-
700 , 1200 ,1600 , 2000 , x
If the mean of the five numbers above is 1600 , what is the value of x?
700 , 1200 ,1600 , 2000 , x
If the mean of the five numbers above is 1600 , what is the value of x?
Maths-General
Maths-
Some values of x and their corresponding values of y are shown in the table above, where a is a constant. If there is a linear relationship between x and y, which of the following equations represents the relationship?
Some values of x and their corresponding values of y are shown in the table above, where a is a constant. If there is a linear relationship between x and y, which of the following equations represents the relationship?
Maths-General
Maths-
In the triangle above, a = 34. What is the value of b + c ?
In the triangle above, a = 34. What is the value of b + c ?
Maths-General
Maths-
Lynne has $8.00 to spend on apples and oranges. Apples cost $0.65 each, and oranges cost $0.75 each. If there is no tax on this purchase and she buys 5 apples, what is the maximum number of whole oranges she can buy?
Lynne has $8.00 to spend on apples and oranges. Apples cost $0.65 each, and oranges cost $0.75 each. If there is no tax on this purchase and she buys 5 apples, what is the maximum number of whole oranges she can buy?
Maths-General
Maths-
The first year Eleanor organized a fund-raising event, she invited 30 people. For each of the next 5 years, she invited double the number of people she had invited the previous year. If is the number of people invited to the fund-raiser years after Eleanor began organizing the event, which of the following statements best describes the function ?
The first year Eleanor organized a fund-raising event, she invited 30 people. For each of the next 5 years, she invited double the number of people she had invited the previous year. If is the number of people invited to the fund-raiser years after Eleanor began organizing the event, which of the following statements best describes the function ?
Maths-General
Maths-
Clayton will mix X milliliters of a 10 % by mass saline solution with y milliliters of a by mass saline solution in order to create an 18% by mass saline solution. The equation above represents this situation. If Clayton uses 100 milliliters of the 20% by mass saline solution, how many milliliters of the 10% by mass saline solution must he use?
Clayton will mix X milliliters of a 10 % by mass saline solution with y milliliters of a by mass saline solution in order to create an 18% by mass saline solution. The equation above represents this situation. If Clayton uses 100 milliliters of the 20% by mass saline solution, how many milliliters of the 10% by mass saline solution must he use?
Maths-General
Maths-
The maximum value of a data set consisting of 25 positive integers is 84 . A new data set consisting of 26 positive integers is created by including 96 in the original data set. Which of the following measures must be 12 greater for the new data set than for the original data set?
The maximum value of a data set consisting of 25 positive integers is 84 . A new data set consisting of 26 positive integers is created by including 96 in the original data set. Which of the following measures must be 12 greater for the new data set than for the original data set?
Maths-General
General
In the equation above, a is a constant. The graph of the equation in the x y - plane is a parabola. Which of the following is true about the parabola?
In the equation above, a is a constant. The graph of the equation in the x y - plane is a parabola. Which of the following is true about the parabola?
GeneralGeneral
Maths-
The table above shows the results of a survey in which tablet users were asked how often they would watch video advertisements in order to access streaming content for free. Based on the table, which of the following is closest to the probability that a tablet user answered "Always," given that the tablet user did not answer "Never"?
The table above shows the results of a survey in which tablet users were asked how often they would watch video advertisements in order to access streaming content for free. Based on the table, which of the following is closest to the probability that a tablet user answered "Always," given that the tablet user did not answer "Never"?
Maths-General
Maths-
Find the smallest square number by which 9408 must be divided , so that it becomes a perfect square.
Find the smallest square number by which 9408 must be divided , so that it becomes a perfect square.
Maths-General
Maths-
The volume of a sphere is given by the formula , where r is the radius of the sphere. Which of the following gives the radius of the sphere in terms of the volume of the sphere?
The volume of a sphere is given by the formula , where r is the radius of the sphere. Which of the following gives the radius of the sphere in terms of the volume of the sphere?
Maths-General
Maths-
Evaluate a)
Evaluate a)
Maths-General
Maths-
Find the smallest number by which 8075 should be divided to get a perfect number ?
What is the perfect square number so obtained ? Find the square root of this number ?
Find the smallest number by which 8075 should be divided to get a perfect number ?
What is the perfect square number so obtained ? Find the square root of this number ?
Maths-General