Answer:
x = -5
, y = 1
Step-by-step explanation:
Solve the following system:
{3 x + y = -14 | (equation 1)
-2 x - y = 9 | (equation 2)
Add 2/3 × (equation 1) to equation 2:
{3 x + y = -14 | (equation 1)
0 x - y/3 = (-1)/3 | (equation 2)
Multiply equation 2 by -3:
{3 x + y = -14 | (equation 1)
0 x+y = 1 | (equation 2)
Subtract equation 2 from equation 1:
{3 x+0 y = -15 | (equation 1)
0 x+y = 1 | (equation 2)
Divide equation 1 by 3:
{x+0 y = -5 | (equation 1)
0 x+y = 1 | (equation 2)
Collect results:
Answer: {x = -5
, y = 1
<u>X - Intercept</u>
f(x) = -x² + 4x - 4
0 = -x² + 4x - 4
x = <u>-(4) +/- √((4)² - 4(-1)(-4))</u>
2(-1)
x = <u>-4 +/- √(16 - 16)</u>
-2
x = <u>-4 +/- √(0)
</u> -2<u>
</u> x = <u>-4 +/- 0
</u> -2<u>
</u> x = <u>-4 + 0</u> x = <u>-4 - 0</u>
-2 -2
x = <u>-4</u> x = <u>-4</u>
-2 -2
x = 2 x = 2
The solution to the problem is {2, 2}, or {2}. The x - intercept of the problem is (2, 0).
<u>Y - Intercept</u>
f(x) = -x² + 4x - 4
f(x) = -(0)² + 4(0) - 4
f(x) = -(0) + 0 - 4
f(x) = -0 + 0 - 4
f(x) = 0 - 4
f(x) = -4
The y - intercept of the problem is (0, -4).
<u />
The earning of the salesperson is an illustration of a linear function.
The possible functions in the two scenarios are:
and 
The function is given as:

When the base salary is increased, a possible function is:

This is so, because 2500 is greater than 2000
When the commission rate is decreased, a possible function is:

This is so, because 0.05 is less than 0.1
So, the possible functions in the two scenarios are:
and 
See attachment for the graphs of both functions
Read more about linear equations at:
brainly.com/question/21981879
Answer:
The area of the new rectangle is 882 in².
Step-by-step explanation:
Let l be the length and w be the width of the original rectangle,
So, the area of the original rectangle is,
A = l × w ( Area of a rectangle = Length × Width )
Given, A = 72 in²,
⇒ lw = 72 ------- (1),
Since, if the rectangle are changed by a scale factor of 3.5,
⇒ New length = 3.5 l,
And, new width = 3.5 w,
Thus, the area of the new rectangle = 3.5l × 3.5w

( From equation (1) ),
= 882 in²