Complete Question
The complete question is shown on the first uploaded image
Answer:
The line is 
Step-by-step explanation:
From the question we are told that
The line is 
The point is P(0,0 )
Generally the equation for a line is 
Now comparing this with the given equation we see that
Generally the slope of the perpendicular to the given line is mathematically evaluated as
=> 
=> 
Generally from the univesal equation of a line and the given point we have that
y = mx + c at p(0,0) and 
is
0 = -4 (0 ) + c
=> c = 0
Hence the equation perpendicular to the line given at the point given is
The quality of the goods you produce depends on the quality of your production process. If your production process doesn’t meet the required quality standards, the product may be of inferior quality.
Given:
The function, f(x) = -2x^2 + x + 5
Quadratic equation: 0 = -2x^2 + x +5
where a = -2
b = 1
c = 5
The discriminate b^2 - 4ac = 41
To solve for the zeros of the quadratic function, use this formula:
x = ( -b +-√ (b^2 - 4ac) ) / 2a
x = ( 1 + √41 ) / 4 or 1.85
x = ( 1 - √41 ) / 4 or -1.35
Therefore, the zeros of the quadratic equation are 1.85 and -1.35.
Answer:
$413.83
Step-by-step explanation:
Your earnings for the two weeks are
7.25(40)(2) = 580
The deductions for FICA will be
0.0765(580) = 44.37
The deductions for federal withholding will be
0.14(580) = 81.2
The deductions for state withholding will be
0.07(580) = 40.6
This makes your realized income
580-(44.37+81.2+40.6) = 580-166.17 = 413.83
Answer:
Microscopes cost $44 and Dissection Kits cost $11
Step-by-step explanation:
Using the information given, we can make the system of equations:
30x+48y=1848
x represents the price of microscopes and y represents the price of dissection kits.
We also know that microscopes will be 4x the price of dissection kits. Therefor:
x=4y
We can plug these two equations together to find the answer.
30(4y)+48y=1848
120y+48y=1848
168y=1848
y=11
Using the y-value, can find the x-value.
x=4(11)
x=44
