Answer: (a) -7 (b) 
(c) 
(d) 4
Step-by-step explanation:
A) f(x) = 2x - 3 when x is between -5 and -2 (including -5 and -2)
B) f(x) = x² when x is between -2 and 2 (including 2)
C) 
when x is between 2 and 5 (including 5)
a) Equation A includes x = -2
f(x) = 2x - 3
f(-2) = 2(-2) - 3
= -4 - 3
= -7
b) Equation B includes x = 
f(x) = x²
c) Equation C includes x = 4
d) Try each equation to see if x falls within the values given.
A) f(x) = 2x - 3
-2.5 = 2x - 3
0.5 = 2x
0.25 = x NOT VALID since x should be between -5 and -2
B) f(x) = x²
-2.5 = x²
NOT VALID since x cannot be an imaginary number
C)
VALID since x is between 2 and 5
Answer:
-262.8
Step-by-step explanation:
i don't know how to do the step by Step T. T, hooe it helps tho ^^
Answer:
$1954
Step-by-step explanation:
Given the profit function expressed as;
y=-3x^2 + 197x –
1279
The profit is at maximum when dy/dx = 0
dy/dx = -6x + 197
0 = -6x+197
6x = 197
x = 197/6
x = 32.83
substitute 32.83 into the modeled function
y=-3x^2 + 197x –
1279
y -3(32.83)²+197(32.83) - 1279
y = -3(1,078.03)+6,467.51 - 1279
y = -3,234.09+6,467.51-1279
y = 1,954.42
hence the maximum amount of profit the company can make, to the nearest dollar is $1954
Answer:
actually, a and b are correct, as any line is also parallel to itself (a).
b is probably the truly wanted answer, as this line is on a chart visible as a second line and parallel to the first one.
Step-by-step explanation:
the factor of x is also the slope of the line.
for a line to be parallel to another, both need to have the same slope.
the constant number in the equation is the offset of the line from point (0,0) in y direction.
so, b is a parallel line 4 units above the first line.
Answer:
a). At least 99 marks should be scored by the student to get an A.
b). Student has to score at least 59 and less than 99 grades in the 4th exam to get a B.
Step-by-step explanation:
Student's grades on the first three exams are 85, 87, and 89.
Since student's course grade is to be determined by averaging 4 exams.
So average of 4 exams = 
Here x is the grade obtained by the student in 4th exam.
If the average of 4 exams to get an A is at least 90 so the expression will be
261 + x ≥ 360
x ≥ 360 - 261
x ≥ 99
At least 99 marks should be scored by the student to get an A.
To get a B (Average of at least 80) the expression will be
320-261 ≤ x < 360-261
59 ≤ x < 99
Therefore, student has to score at least 59 and less than 99 grades in the 4th exam to get a B.
