Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Maths-

General

Easy

Question

An equation for the graph shown is $y equals left parenthesis x minus 1 right parenthesis left parenthesis x plus b right parenthesis$ , where b is a constant. What is the value of b ?

3
1
-3
-4

The correct answer is: 3

Put in the points situated on the line in the equation and find the value of the constant.
Explanations:
Step 1 of 3:
The points situated on the line, as observed from the graph, are (- 3, 0) and (1, 0).
Step 2 of 3:
Putting the values of $x$ and $y$ for (- 3.0) coordinate, we get
For $open parentheses negative 30 close parentheses$ , $0 equals open parentheses negative 3 minus 1 close parentheses open parentheses negative 3 plus b close parentheses$
$rightwards double arrow 4 open parentheses b minus 3 close parentheses equals 0$
$rightwards double arrow b equals 3$
Step 3 of 3:
For (1,0) coordinate, the equation satisfies as well.
Putting x=1, we get $y equals open parentheses 1 minus 1 close parentheses open parentheses 1 plus 3 close parentheses equals 0$
Final Answer:
The value of b is — 3.

Related Questions to study

A group of students participated in a study. It was determined that for each hour of experience performing a certain task, the time necessary for each student to complete the task decreased by 5%. Wendy took 30 minutes to complete the task with no experience. Which function models the amount of time T, in minutes, it will take Wendy to complete the task after x hours of experience?

A group of students participated in a study. It was determined that for each hour of experience performing a certain task, the time necessary for each student to complete the task decreased by 5%. Wendy took 30 minutes to complete the task with no experience. Which function models the amount of time T, in minutes, it will take Wendy to complete the task after x hours of experience?

The table shows the distribution of objects in a collection by shape and color. If a triangle is selected at random, what is the probability that the selected triangle is red?

The table shows the distribution of objects in a collection by shape and color. If a triangle is selected at random, what is the probability that the selected triangle is red?

A recipe requires f cups of flour. Arnold accidentally used 50% more flour than the recipe required. How much flour did Arnold use in terms of f ?

A recipe requires f cups of flour. Arnold accidentally used 50% more flour than the recipe required. How much flour did Arnold use in terms of f ?

parallel

Paulina has 28 books in her collection. The frequency table summarizes the number of pages in each book. If she buys a new book that has 62 pages, how will this impact the mean and median numbers of pages of the books in her collection?

Paulina has 28 books in her collection. The frequency table summarizes the number of pages in each book. If she buys a new book that has 62 pages, how will this impact the mean and median numbers of pages of the books in her collection?

The solution to which system of inequalities is represented by the shaded region of the graph?

The solution to which system of inequalities is represented by the shaded region of the graph?

Which of the following additional measurements to the triangle provides enough information to determine the length of $stack A B with minus on top$ ?
I. The length of $stack A C with minus on top$
II. The measure of $angle A B C$

Which of the following additional measurements to the triangle provides enough information to determine the length of $stack A B with minus on top$ ?
I. The length of $stack A C with minus on top$
II. The measure of $angle A B C$

parallel

Line $m$ is defined by $y equals negative fraction numerator 3 over denominator 4 end fraction x plus 2$ . Line $p$ is parallel to line m in the xy - plane and passes through the point (4, - 3). Which equation defines line p ?

Line $m$ is defined by $y equals negative fraction numerator 3 over denominator 4 end fraction x plus 2$ . Line $p$ is parallel to line m in the xy - plane and passes through the point (4, - 3). Which equation defines line p ?

An analyst estimates that the cost of each of the paperback books will increase $0.50 each year after 2016. Which of the following models the cost $c$ , in dollars, of each of the paperback books t years after 2016 ?

A certain book is available from a publishing company in both hardcover and paperback. The table shows the revenue and cost in 2016 for each of the hardcover and paperback books produced by the company.

An analyst estimates that the cost of each of the paperback books will increase $0.50 each year after 2016. Which of the following models the cost $c$ , in dollars, of each of the paperback books t years after 2016 ?

A certain book is available from a publishing company in both hardcover and paperback. The table shows the revenue and cost in 2016 for each of the hardcover and paperback books produced by the company.

In 2016 the total cost for 200 of the books that were sold was between $2,200 and $2,400. Which of the following could be the number of hardcover books that were sold?

A certain book is available from a publishing company in both hardcover and paperback. The table shows the revenue and cost in 2016 for each of the hardcover and paperback books produced by the company.

In 2016 the total cost for 200 of the books that were sold was between $2,200 and $2,400. Which of the following could be the number of hardcover books that were sold?

A certain book is available from a publishing company in both hardcover and paperback. The table shows the revenue and cost in 2016 for each of the hardcover and paperback books produced by the company.

parallel

The table gives some values of possible lengths x, in miles, of a monorail system, and their corresponding costs to build f(x), in millions of dollars. Which of the following equations models this relationship?

The table gives some values of possible lengths x, in miles, of a monorail system, and their corresponding costs to build f(x), in millions of dollars. Which of the following equations models this relationship?

$x to the power of 2 end exponent minus 2 x plus c equals 0$
In the given equation, $c$ is a constant. If the equation has exactly one solution, what is the value of c ?

$x to the power of 2 end exponent minus 2 x plus c equals 0$
In the given equation, $c$ is a constant. If the equation has exactly one solution, what is the value of c ?

The 2017 Wyoming state senate had 30 elected members consisting of Democrats and Republicans. Let d represent the number of Democrats who vote yes for a bill, and let r represent the number of Republicans who vote yes for a bill. For a bill to pass, more than half of the 30 senators must vote yes. Which of the following inequalities represents all possible values of d and r for a bill to pass?

The 2017 Wyoming state senate had 30 elected members consisting of Democrats and Republicans. Let d represent the number of Democrats who vote yes for a bill, and let r represent the number of Republicans who vote yes for a bill. For a bill to pass, more than half of the 30 senators must vote yes. Which of the following inequalities represents all possible values of d and r for a bill to pass?

parallel

For the linear function f, the graph of y = f(x) in the xy -plane passes through the points (0, 2) and (2, 6). Which equation defines f ?

For the linear function f, the graph of y = f(x) in the xy -plane passes through the points (0, 2) and (2, 6). Which equation defines f ?

In triangle ABC, the measure of angle C is $90 to the power of ring operator end exponent$ . If $s i n invisible function application A equals fraction numerator 3 over denominator 5 end fraction$ , what is $c o s invisible function application B$ ?

In triangle ABC, the measure of angle C is $90 to the power of ring operator end exponent$ . If $s i n invisible function application A equals fraction numerator 3 over denominator 5 end fraction$ , what is $c o s invisible function application B$ ?

2a + b = 17
a + 2b = 19
The solution to the given system of equations is (a, b). What is the value of 3a + 3b ?

2a + b = 17
a + 2b = 19
The solution to the given system of equations is (a, b). What is the value of 3a + 3b ?

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.