Answer:x^2-76
Step-by-step explanation:
Question 5: / Pregunta 5:
<u>b. x² + 3</u>
f(x) = 
\/
y = 
\/
x = 
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x² = 
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x² = y - 3
\/
x² + 3 = y
\/
x² + 3 = f(x)
Question 6: / Pregunta 6:
<u>b. Yes, but not one to one</u>
Two inputs have an output of 8 so it is not one to one, but no input has two different outputs so it is a function / Dos entradas tienen una salida de 8, por lo que no es una a una, pero ninguna entrada tiene dos salidas diferentes, por lo que es una función.
Answer: 
Step-by-step explanation:
Since the general quadratic equation is,

Here the given table is,
x 1 2 3 4 5 6 7
y 5.9 8.9 13.4 20.1 30.1 45.1 67.7
By the graphing calculator,
a = 1.87024 ≈ 1.87
b= -5.15833 ≈ -5.15
c = 10.5429 ≈ 10.54
By putting the values of a, b and c,
The required quadratic equation is,

⇒ First Option is correct.
The number of hours spent lifeguarding and clearing tables is 5.4 hours and 8.6 hours respectively
<h3>Solving inequality equation</h3>
- x = number of hours lifeguarding
- y = number of hours clearing tables
x + y ≤ 14 (1)
19x + 9y ≤ 180 (2)
From (1)
x = 14 - y
substitute into (2)
19x + 9y ≤ 180
19(14 - y) + 9y ≤ 180
266 - 19y + 9y ≤ 180
- 19y + 9y ≤ 180 - 266
- 10y ≤ -86
y ≤ -86 / -10
y ≤ 8.6 hours
x + y ≤ 14
x + 8.6 ≤ 14
x ≤ 14 - 8.6
x ≤ 5.4 hours
Learn more about inequality equation:
brainly.com/question/11234618
Answer:
x-intercepts/ roots= (-1,0), (15,0)
f(0)= -15 (y-intercept)
Axis of symmetry: x = 7
Vertex: (7, -64)
Domain: All real numbers
Range: [-64, infty)