Part 1We are given

. This can be rewritten as

.
Therefore, a=1, b=-18, c=0.
Using the quadratic formula

The values of x are
Part 2Since the values of y change drastically for every equal interval of x, the function cannot be linear. Therefore, the kind of function that best suits the given pairs is a
quadratic function. Part 3.The first equation is

.
The second equation is

.
We have

Factoring, we have

Equating both factors to zero.

When the value of x is 6, the value of y is

When the value of x is -3, the value of y is

Therefore, the solutions are (6,38) or (-3,11)
Answer:
90 m
Step-by-step explanation:
65 km = 65000m
1 hour = 3600 secs
speed in meters = 65000/3600
= 18 m / sec
Distance traveled in 5 secs = 18*5
= 90 m
Answer:
Monique made an error when writing the factored expression.
Correct factored
expression=4x(1+4y)
Step-by-step explanation:
factoring the expression 4 x + 16 x y.
Factors of 4x: 1, 2, 4, x
Factors of 16xy: 1, 2, 4, 8, 16, x, y
GCF: 4x
Factored expression: 4 x (0 + 4 y)
Monique made an error when writing the factored expression.
The correct factored expression should be:
4x+16xy
=4x(1+4y)
Contrary to 4x(0+4y)
Correct factored
expression=4x(1+4y)
ANSWER
C) Triangle
EXPLANATION
Solving a triangle is the process of calculating unknown side lengths or angle measures of a triangle if certain of the side lengths and/or angle measures are known.
We use the sine rule and cosine rule to find the missing sides and angles.
If the triangle has a right angle, then this is a special case, where we can use the trigonometric ratios and the Pythagoras theorem to find the unknown angles and sides.