Answer:
6.84 ≤ x ≤ 37.39
Step-by-step explanation:
we have
-----> equation A
we know that
The company wants to keep its profits at or above $225,000,
so
-----> inequality B
Remember that P(x) is in thousands of dollars
Solve the system by graphing
using a graphing tool
The solution is the interval [6.78,39.22]
see the attached figure
therefore
A reasonable constraint for the model is
6.84 ≤ x ≤ 37.39
You set them equal to each other because vertical angles are congruent so,
(x-3)=50
x=53
Answer:
(See bolded numbers)
<u>Factoring</u><u> -1 out of negative numbers</u><u>:</u>
11) (-6) • (3)= (-1 • 6) • 3= -1 • 6 • 3= -18
-6 is the negative number here and factoring out -1 from -6 will give us -1(6). In the second last step, multiply 6 and 3 together then multiply the product by -1.
-1(6 ×3)= -1(18)= -18
12) (-4) • (-8)= (-1 • 4) • (-1 • 8)= 1 • 4 • 8= 32
Multiplying 2 negative numbers will give us a positive number. The 3rd step is 1 as (-1)(-1)= 1.
13) (-9) • (-5)= (-1 • 9) • (-1 • 5)= 1 • 9 • 5= 45
14) (2) • (-8)= 2 • (-1 • 8)= -1 • 2 • 8= -16
Negative numbers are numbers with a negative sign and are numbers less than zero. Factoring -1 out of negative numbers will leave us with the positive number.
Answer:
Solution of the system of equations: (1, 1)
x = 1, y = 1
Explanation:
Given the below system of equations;

Note that the slope-intercept form of the equation of a line is given as;

where m = slope of the line
b = y-intercept of the line
Comparing the given system of equations with the slope-intercept equation, we can see that, for the 1st equation (y = -3x + 4), the slope(m) = -3 and y-intercept(b) = 4 and for the 2nd equation, slope(m) = 3 and y-intercept(b) = -2.
Knowing the above information, let's go ahead and graph the system of equations;
From the above graph, the point of intersection of the two lines (1, 1) is the solution of the system of equation.
1/10 = .1, and 3/33 = .0909090... it is equivalent if you estimate.