Answer:
3.5 min
Step-by-step explanation:
Answer:
Let x = software program
Let y = video game
x < 200 ; y < 300
x + y < 425
50x ; 35y
x = 200 ; y = 225
50(200) + 35(225) = 10,000 + 7,875 = 17,875
x = 125 ; y = 300
50(125) + 35(300) = 6,250 + 10,500 = 16,750
x = 175 ; y = 250
50(175) + 35(250) = 8,750 + 8,750 = 17,500
It is more profitable to maximize production of software program when working within the limits provided.
Step-by-step explanation:
<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).
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Answer:
<h2>
</h2><h2><u><em>
the equation is false</em></u></h2>
<u><em></em></u>
Step-by-step explanation:
x - 10+ 9x = - 1 + 10x
-10 + 1 = -x - 9x + 10x
-9 = 0
the equation is false
Answer:
2520cm²
Step-by-step explanation:
Surface area = sum of the area of all the bases.
Area of bottom base = 28 * 30 = 840
Area of right base = 25 * 30 = 750
Area of left base = 17 * 30 = 510
Area of two triangles = ( 15 * 28 ) / 2 = 210 * 2 = 420
Then add all the areas together to find surface area
Surface area = 840 + 750 + 510 + 420 = 2520cm²
Relevant Formulas:
Area of a rectangle = length * width. This formula was used to find the area of the bottom base, the right base and the left base
Area of a triangle = ( height * base length ) / 2 . This formula was used to find the area of the sides which are triangles.
