Answer:
The correct equation in terms of s is: 4s=260
- The number of strawberry ice cream produced per day, s=65.
- The number of chocolate ice cream produced per day ,c=130.
- The number of vanilla ice cream produced per day ,v=85.
Step-by-step explanation:
Let the number of containers of strawberry ice cream produced per day=s
Let the number of containers of vanilla ice cream produced per day=v
Let the number of containers of chocolate ice cream produced per day=c
Total Number of Ice Cream Containers=280
Given:
The factory produces twice as much chocolate ice cream as strawberry ice cream. This is written as:
The factory produces 20 more containers of vanilla ice cream than strawberry ice cream. This is written as:
Therefore substituting c=2s and v=s+20 into the first equation: s+v+c=280
s+s+20+2s=280
4s=280-20
4s=260
Divide both sides by 4
s=65
The number of strawberry ice cream produced per day is 65.
The number of chocolate ice cream produced per day =2s=2(65)=130.
The number of vanilla ice cream produced per day =s+20=65+20=85.
Simplify (x3 + 3x2 + 5x – 4) – (3x3 – 8x2 – 5x + 6)
The first thing I have to do is take that "minus" sign through the parentheses containing the second polynomial. Some students find it helpful to put a "1" in front of the parentheses, to help them keep track of the minus sign.
Here's what the subtraction looks like, when working horizontally:
(x3 + 3x2 + 5x – 4) – (3x3 – 8x2 – 5x + 6)
(x3 + 3x2 + 5x – 4) – 1(3x3 – 8x2 – 5x + 6)
(x3 + 3x2 + 5x – 4) – 1(3x3) – 1 (–8x2) – 1(–5x) – 1(6)
x3 + 3x2 + 5x – 4 – 3x3 + 8x2 + 5x – 6
x3 – 3x3 + 3x2 + 8x2 + 5x + 5x – 4 – 6
–2x3 + 11x2 + 10x –10
And here's what the subtraction looks like, when going vertically:
x
3
−(3x
3
+3x
2
−8x
2
+5x
−5x
−4
+6)
In the horizontal addition (above), you may have noticed that running the negative through the parentheses changed the sign on each and every term inside those parentheses. The shortcut when working vertically is to not bother writing in the subtaction sign or the parentheses; instead, write the second polynomial in the second row, and then just flip all the signs in that row, "plus" to "minus" and "minus" to "plus".
\
x
3
–3x
3
−2x
3
+3x
2
+8x
2
+11x
2
+5x
+5x
+10x
−4
–6
−10
Either way, I get the answer:
–2x3 + 11x2 + 10x – 10
Answer:
Step-by-step explanation:
i want to help you but what do you need help with??
Answer:
15
Step-by-step explanation:
Rate of change or slope or gradient of a line passes two points (x1, y1) and (x2, y2) could be calculated by:
(y2 - y1)/(x2 - x1)
=> Rate of change of the line passing (1,15) and (3,45):
(45 - 15)/(3 - 1) = 30/2 = 15
Ken drew a pair of intersecting rays and marked the angle between them. . . Which of these statements best compares the pair of intersecting rays with the<span>angle</span> I'd say c because the common endpoint is the intersection.
