Answer:
Correct option: C -> 2
Step-by-step explanation:
The first equation is:

And the second equation is:

From the second equation, we have:

Using this value of y in the first equation, we have:




Calculating the discriminant Delta, we have:

We have
, so we have two real values for x, therefore we have two solutions for this system.
Correct option: C.
(If the system of equation is actually:


We would have:





We also have
, so we have two solutions for this system.
Correct option: C.)
This can be
solved by solving the slope of the line. First let y be the rating of the test
and x be the number of incorrect answers. Slope can be solved using the formula:
M = ( y2 –
y1 ) / ( x2 – x1)
M = ( 90 –
98) / ( 5 -1 )
M = -2
<span>So the model
has a negative slope</span>
Perpendicular lines have an opposite reciprocal slope, therefore, the slope of the perpendicular line is:
-1/7
So far, y = -1/7x + b. Now we need to plug in (7, 7) into x and y for our equation.
7 = -1/7(7) + b
Simplify the right side
7 = -1 + b
Add 1 to both sides
8 = b
The equation of the perpendicular line is:
y = -1/7x + 8
Answer:
x=16
Step-by-step explanation:
2x + 33 = 5x - 15 (Alternate Interior Angles)
33 + 15 = 5x - 2x
48 = 3x
x= 48/3 = 16