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:
you multiple the y-intercept and then multiply the x-intercept and then find the slope.
Step-by-step explanation:
<h2>The cost is same for both the options if we purchase 27 photos</h2>
Step-by-step explanation:
Cost of a photo at a local store is $0.25 per photo. This cost can be modeled to be linear in number of photos as 
.
Cost of photos purchased online is $0.15 per photo. However there is a shipping cost of $2.70. This can also be modeled to be linear in number of photos as 
.
Let us assume both costs are the same if we purchase 
photos.
So, 
∴ On purchasing 27 photos, cost for both the options is the same.
If each slice turns a right angle that means it turns 90* so you can only have two turns per pizza which gives 4 slices (90+90+90+90=360 - this is how many degrees in a circle) so per pizza 4 slices. For four pizzas that is 4x4 which is 16 so 16slices
Answer:
The correct option is C. 126 in²
Step-by-step explanation:
Diameter of the container = 5 inches
⇒ radius of the container = 2.5 inches
Height of the container = 8 inches
To find how much paper is needed to create the label : We need to find the lateral surface area of the cylindrical shaped container
Lateral Surface Area of Cylinder = 2·π × radius × height
= 2 × 3.14 × 2.5 × 8
= 125.66 square inches
≈ 126 square inches
Hence, 126 square inches of paper is needed to create the label.
So, The correct option is C. 126 in²
