The. correct. answer is c
Let s and g represents the numbers of suits and gowns produced.
The number of zippers used is 2s+g.
The number of buttons used is 5s+8g.
In order to use all of the available zippers and buttons, we must have ...
- 2s + g = 171
- 5s + 8g = 576
Cramer's rule tells you the solution to the system
Is given by
- x = (bf-ey)/(bd-ea)
- y = (cd-fa)/(bd-ea)
Using this rule on the equations for zippers and buttons, we have
... s = (1·576 -8·171)/(1·5 -8·2) = -792/-11 = 72
... g = (171·5 -2·576)/-11 = -297/-11 = 27
72 suits and 27 gowns can be made from available zippers and buttons.
The answer is b) y = 3x + 3.
To find this, we first need to find the slope. The slope formula is listed below.
m = (y2 - y1)/(x2 - x1)
In this equation, m is the slope, and (x1, y1) is the first point, where (x2, y2) is the second point. We'll use (2, 9) and (3, 12) for the points.
m = (y2 - y1)/(x2 - x1)
m = (12 - 9)/(3 - 2)
m = 3/1
m = 3
Now that we have the slope at 3. we can use slope intercept form and one point to solve for the y-intercept. We'll use (2, 9) as the point.
y = mx + b
9 = 3(2) + b
9 = 6 + b
3 = b
When we use the slope and intercept together to get the equation. y = 3x + 3
The equation of the quadratic function is f(x) = x²+ 2/3x - 1/9
<h3>How to determine the quadratic equation?</h3>
From the question, the given parameters are:
Roots = (-1 - √2)/3 and (-1 + √2)/3
The quadratic equation is then calculated as
f(x) = The products of (x - roots)
Substitute the known values in the above equation
So, we have the following equation
This gives
Evaluate the products
Evaluate the like terms
So, we have
f(x) = x²+ 2/3x - 1/9
Read more about quadratic equations at
brainly.com/question/1214333
#SPJ1
It would be: 420 + (420 * 17.5%)
= 420 + (420 * 0.175) [ 17.5% = 0.175 ]
= 420 + 73.5
= 493.5
In short, Your Answer would be <span>£493.5
Hope this helps!</span>
