The x-intercepts of the given quadratic function are -2 and 9.
What is a quadratic function?
A quadratic function is a function represented as, f(x) = ax2 + bx + c, with a, b, and c being integers and a not equal to zero. A parabolic curve represents the graph of a quadratic function.
A polynomial's highest degree reveals how many roots the polynomial has. The values for which the polynomial's numerical value is equal to zero are known as a polynomial's roots (also known as zeros of a polynomial). On a graph, the points where the polynomial's graph and the x-axis cross are the roots (x-intercepts).
Roots of the Quadratic Equation
Due to its degree of 2, a quadratic function can only have a maximum of two real roots. In order to find the roots of a quadratic equation, we equate its factors to 0. Thus, in this case, we have,
(x+2)*(x-9)=0
∴ x+2=0
⇒ x=-2
Similarly,
x-9=0
⇒ x=9
Hence, the x- intercepts of the given quadratic function come out to be -2 and 9.
Learn more about a quadratic function here:
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Answer:
4
Step-by-step explanation:
Yes u are doing it right
So just find x first
2x + 26 + 2x +31 =13
4x + 57 = 13
4x = - 44
x = - 11
Since now u know x = - 11, and u know
WV =2X+26
So...
2x + 26
=2(-11) + 26
= - 22 + 26
= 4
Answer:
y=-3x-7
Step-by-step explanation:
y=mx+b , m represents slope, b represents y intercept
Answer:
m = 3
Step-by-step explanation:
It is given that there are two triangles
ABC and
ABC ~
Also, the sides are:
AB= 3
BC= 4
DE= 2m
EF= m+5 and
∠B≅∠E
Please have a look at the attached figure for
ABC and
The triangles are similar so as per the property of similar triangles, the ratio of corresponding sides will be same.
i.e.

So, <em>value of m = 3.</em>