Maths-
General
Easy
Question
The table shows several values of x and their corresponding values of f(x). The function f is defined by f(x) = mx + b, where and are constants. What is the value of b ?
The correct answer is: 16
HINT: Find slope and then find value of b using point-slope form.
Complete step by step Solution
From the table,
we have 2 points and .
We can find slope .
Hence, m = 45.
We know that point-slope form is
By substituting the values,
we get y - 106 = 45(x - 2).
On adding 106 on both the sides,
we get y = 45x + 16 which is of the form y = mx + b.
Hence, the value of b is 16.
Related Questions to study
General
Find the range of the function .
For such questions, we should know the concept of function.
Find the range of the function .
GeneralGeneral
For such questions, we should know the concept of function.
Maths-
In the figure shown, line t intersects lines l and k. Which additional piece of information is sufficient to prove that lines l and k are parallel?
In the figure shown, line t intersects lines l and k. Which additional piece of information is sufficient to prove that lines l and k are parallel?
Maths-General
Maths-
The table gives the typical adult weight ranges and life spans for African and Asian elephants in the wild.
Based on the table, what is the typical minimum weight of an adult African elephant in the wild, in pounds? ( 1 ton = 2000 pounds)
The table gives the typical adult weight ranges and life spans for African and Asian elephants in the wild.
Based on the table, what is the typical minimum weight of an adult African elephant in the wild, in pounds? ( 1 ton = 2000 pounds)
Maths-General
Maths-
Line l is shown in the xy - plane, and the point with coordinates (2, c) is on line l. What is the value of c ?
Line l is shown in the xy - plane, and the point with coordinates (2, c) is on line l. What is the value of c ?
Maths-General
Maths-
The graph shows the power capacity for the nine countries that had the greatest geothermal power capacity in 2010 . What was the capacity, in megawatts, of the country that had the median capacity of the nine countries?
The graph shows the power capacity for the nine countries that had the greatest geothermal power capacity in 2010 . What was the capacity, in megawatts, of the country that had the median capacity of the nine countries?
Maths-General
Maths-
Triangle ABC is similar to triangle DEF, where angle A corresponds to angle D. What is the value of ?
Triangle ABC is similar to triangle DEF, where angle A corresponds to angle D. What is the value of ?
Maths-General
Maths-
What is the y -coordinate of the y -intercept of the graph of ?
What is the y -coordinate of the y -intercept of the graph of ?
Maths-General
Maths-
In a survey of 240 television viewers, indicated that they like comedies, some indicated that they do not like comedies, and the rest did not respond. If one of the 240 viewers is selected at random, the probability is that the viewer selected did not respond. How many of the 240 viewers indicated that they do not like comedies?
In a survey of 240 television viewers, indicated that they like comedies, some indicated that they do not like comedies, and the rest did not respond. If one of the 240 viewers is selected at random, the probability is that the viewer selected did not respond. How many of the 240 viewers indicated that they do not like comedies?
Maths-General
Maths-
In the - plane, the points (-3,10) and (3,10) are endpoints of the diameter of a circle. Which equatic represents this circle?
In the - plane, the points (-3,10) and (3,10) are endpoints of the diameter of a circle. Which equatic represents this circle?
Maths-General
Maths-
Bridges have spaces between their sections to allow for expansion and contraction caused by temperature variation. This space is known as the gap width. The size of the gap width w(T), in inches, is a linear function of temperature T, in degrees Fahrenheit . For a certain bridge, the gap width is 2.875 inches at and is 1.875 inches at . Which of the following defines the relationship between temperature and gap width?
Bridges have spaces between their sections to allow for expansion and contraction caused by temperature variation. This space is known as the gap width. The size of the gap width w(T), in inches, is a linear function of temperature T, in degrees Fahrenheit . For a certain bridge, the gap width is 2.875 inches at and is 1.875 inches at . Which of the following defines the relationship between temperature and gap width?
Maths-General
Maths-
5x – y = 9
- 60x + 12y = - 108
How many solutions does the given system of equations have?
5x – y = 9
- 60x + 12y = - 108
How many solutions does the given system of equations have?
Maths-General
Maths-
Which of the following is equivalent to the expression ?
I)
II)
Which of the following is equivalent to the expression ?
I)
II)
Maths-General
Maths-
In the figure shown, point O is the center of the circle. One vertex of the square lies on the circle, and the opposite vertex is point O. If the area of the shaded region is , what is the perimeter of the square?
In the figure shown, point O is the center of the circle. One vertex of the square lies on the circle, and the opposite vertex is point O. If the area of the shaded region is , what is the perimeter of the square?
Maths-General
Maths-
The solutions to the quadratic equation above are a and b. What is the value of a + b ?
The solutions to the quadratic equation above are a and b. What is the value of a + b ?
Maths-General
Maths-
How many solutions does the equation have?
How many solutions does the equation have?
Maths-General