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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.
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Answer:
yes
Step-by-step explanation:
1/4 is you slope
so the constant change of your line is a rise of 1 and a run of 4
you don't need a y-intercept
Unit conversion is a way of converting some common units into another without changing their real value. The approximate value in US dollars is $210.53.
<h3>What is unit conversion?</h3>
Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.
The exchange rate of Mexican pesos for US dollars is approximately 19 pesos for 1 dollar. Therefore, we can write,
19 pesos = 1 dollar
1 pesos = 1/19 dollar
if Lynn exchanges 4,000 pesos for US dollars, then the approximate value in US dollars will be,
4,000 pesos = 4000/19 = 210.53 dollars
Hence, the approximate value in US dollars is $210.53.
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Answer:
let this happens after t hours
so
80t + 60t = 392
140 t = 392
t = 392/140
=2.8 hours