Answer: G=4
Step-by-step explanation:
Answer:
I am a little late but here is the answer
The graph of a non-proportional linear relationship is a straight line that does not pass through the origin.
Non-proportional linear relationships can be expressed in the form y = m x + b
With increase in proportion of one quantity, the proportion of the other quantity decreases and with decrease in proportion of one quantity , the proportion of the other quantity increases .
Step-by-step explanation:
From Graph :
The graph of a non-proportional linear relationship is a straight line that does not pass through the origin.
From Equation :
Non-proportional linear relationships can be expressed in the form y = m x + b, where , m is the slope of the line, and b represents the y-intercept.
From Table:
With increase in proportion of one quantity, the proportion of the other quantity decreases and with decrease in proportion of one quantity , the proportion of the other quantity increases .
Answer:
see explanation
Step-by-step explanation:
(a)
The zeros are x = 1 and x = 5, thus the factors are (x - 1) and (x - 5)
f(x) = a(x - 1)(x - 5)
To find a substitute (0, 15), the coordinates of the y- intercept into the equation.
15 = a(0 - 1)(0 - 5) = a(- 1)(- 5) = 5a ( divide both sides by 5)
a = 3
Thus h = 1, k = 5, a = 3 and
f(x) = 3(x - 1)(x - 5)
(b)
The axis of symmetry is a vertical line with equation x = c ( c is a constant )
The axis of symmetry passes through the midpoint of the zeros
x = 
= 
= 3
Equation of axis of symmetry is x = 3
(c)
The axis of symmetry passes through P, with x- coordinate x = 3
Substitute x = 3 into the function for corresponding value of y
f(3) = 3(3 - 1)(3 - 5) = 3(2)(- 2) = - 12
Coordinates of P = (3, - 12 )
Answer:
It is not an empty set
Step-by-step explanation:
A quadrilateral with 3 obtuse angles is possible.
A obtuse angle has a measure of more than 90 degrees and less than 180 degrees.
Let’s say three angles are measuring 91 degrees in a quadrilateral.
91 + 91 + 91 + x = 360
x = 87
The measure of the fourth angle is 87 degrees which is less than 360 degrees and is a positive integer, so it is possible.
Answer:
Step-by-step explanation:
