The value of b is 7 and a statement which is true about the x-intercepts of this function is that it can have up to 2 x-intersept.
What is x-intercept?
The x-intercept is the point on the coordinate at which a line, curve or plane intersect with the x-axis.
Number 5 is the one x-intercept of the equation,
[tex]y = x^2 + bx + 10[/tex]
Put the value of y as 0 and x as 5 at the to find the value of b.
[tex]0= 5^2 + b\times 5 + 10\\0= 5^2 + b\times 5 + 10\\0=25+5b+10\\5b=35\\b=7[/tex]
Thus, the value of b is 7.
The given equation is a quadratic equation, and a quadratic equation may have 2 x-intercept. Thus, the true statement is that x-intercepts of this function can be up to 2.
Hence, the value of b is 7 and a statement which is true about the x-intercepts of this function is that it can have up to 2 x intercept.
Learn more about the x-intercept here;
https://brainly.com/question/8018800
#SPJ1
