Answer:
-10 points
Step-by-step explanation:
A game show awards 30 points for each correct answer and deducts 50 points for each in correct answer. A contestant answers 2 questions incorrectly and 3 questions correctly. What is his final score?
Let us say Initial number of points = 0
Hence,
He answers 2 incorrectly = 0 - 50 - 50
= -100
He answers 3 correctly =-100 + 30 + 30 + 30
His final score = -100 + 30 + 30 + 30
= -10 points
In which step did the student first make an error?
Answer: Step 2
Step 2 should be:
−3y = -45 + 6z
Answer:
4x + 5y = - 23
Step-by-step explanation:
the equation of a line in slope-intercept form is
y = mx + c ( m is the slope and c the y-intercept )
rearrange 4y - 5x = 20 into this form
add 5x to both sides
4y = 5x + 20 ( divide all terms by 4 )
y =
x + 5 ← in slope-intercept form
with slope m = 
given a line with slope m then the slope of a line perpendicular to it is
= -
, hence
= - 1 /
= - 
y = -
x + c ← is the partial equation
to find c substitute (- 2, - 3) into the partial equation
- 3 =
+ c ⇒ c = - 
y = -
x -
← in slope-intercept form
multiply all terms by 5
5y = - 4x - 23 ( add 4x to both sides )
4x + 5y = - 23 ← in standard form
Answer: all real numbers
Step-by-step explanation:
7a + 1 = 8a - a + 1
7a + 1 = 7a + 1
a = all real numbers
The answer to the question is
Z=0