Answer:
x = 9
Step-by-step explanation:
2x - 3 = 15
2x = 15 + 3
2x = 18 (divide both sides by 2 to get x)
2x/2 = 18/2
x = 9
Answer:
The graph is wrong
Step-by-step explanation:
even through it goes through the y-intercept (2) it doesn't follow the slope of -3.
Answer:
<em>500 </em>
<em> </em><em>p </em><em> </em><em>1000</em>
Step-by-step explanation:
Since Andre if giving a rough estimate about how much paper clips are in the box, we will use the (less than or equal to)
Your X value will be your actual number, the equation shows us that p is anywhere between 500 - 1000
Find the total cost of producing 5 widgets. Widget Wonders produces widgets. They have found that the cost, c(x), of making x widgets is a quadratic function in terms of x. The company also discovered that it costs $15.50 to produce 3 widgets, $23.50 to produce 7 widgets, and $56 to produce 12 widgets.
OK...so we have
a(7)^2 + b(7) + c = 23.50 → 49a + 7b + c = 23.50 (1)
a(3)^2 + b(3) + c = 15.50 → 9a + 3b + c = 15.50 subtracting the second equation from the first, we have
40a + 4b = 8 → 10a + b = 2 (2)
Also
a(12)^2 + b(12) + c = 56 → 144a + 12b + c = 56 and subtracting (1) from this gives us
95a + 5b = 32.50
And using(2) we have
95a + 5b = 32.50 (3)
10a + b = 2.00 multiplying the second equation by -5 and adding this to (3) ,we have
45a = 22.50 divide both sides by 45 and a = 1/2 and using (2) to find b, we have
10(1/2) + b = 2
5 + b = 2 b = -3
And we can use 9a + 3b + c = 15.50 to find "c"
9(1/2) + 3(-3) + c = 15.50
9/2 - 9 + c = 15.50
-4.5 + c = 15.50
c = 20
So our function is
c(x) = (1/2)x^2 - (3)x + 20
And the cost to produce 5 widgets is = $17.50
Y = 7
Explication pas à pas:
x est -3 donc -3 et connectez le x.
Y = -1 / 3 (-3) +5.
Y = 1 + 5
Y = 7
