Answer:
B. Faelyn should realize that her work shows that the polynomial is prime
Step-by-step explanation:
The polynomial 6x⁴ – 8x² + 3x² + 4 needs to be factored and the steps are:
Step 1: (6x⁴ – 8x²) + (3x² + 4)
Step 2: 2x²(3x² – 4) + 1(3x² + 4)
Since they do not have a common factor, Faelyn should realize that her work shows that the polynomial is prime. A prime polynomial cannot be factored further because it is at its lowest common term and cannot be factored into any other polynomial of a lower degree. Prime polynomials have integer coefficients. A prime polynomial is also referred to as an irreducible polynomial.
Answer:
the answer would be c the
third option
Answer:
<em>A container can hold 473.176 ml</em>
<em>42.52 grams is nitrogen. </em>
Step-by-step explanation:
<u>Part A:</u>
We have given that a container holds 0.500 qt . Now we have to find how many milliliters of lemonade it can hold.
We know that 1 qt = 946.353 ml
To find how many milliliters of lemonade a container hold, we have to convert 0.500qt into ml.
As we have mentioned above that 1 qt = 946.353 ml
Multiply the volume value by 946.353
.
0.500 * 946.353
= 473.176 ml
<em>It means a container can hold 473.176 ml</em>
<u>Part B:</u>
Convert the unit oz to grams. The ratio is 1 ounce is to 28.34 grams.
We have 10.0 oz.
10* 28.34 = 283.495
This would mean 10 oz is equivalent to 283.50 grams. It is given that the fertilizer is 15% by mass nitrogen. It means for every 100 g of fertilizer 15 grams of that is nitrogen. Hence for every 283.50 grams of fertilizer
<em>283.50 * (15/100) = 42.52 grams is nitrogen. </em>
<em></em>
Answer:
a) dy/dx = 4/(2y+1)^2.
(b) y = 4/9 x - 14/9
(c) d2y/dx2 = -64/243
Step-by-step explanation:
You have the following equation
(1)
(a) You first derivative implicitly the equation (1) respect to x:
next, you solve the last result for dy/dx:
(2)
(b) The equation for the tangent line is given by:
(3)
with yo = -2 and xo = -1
To find the slope m you use the result of the equation (2), because dy/dx evaluated in (-1,-2) is the slope at such point:
m =
Hence, by replacing in the equation (3) you obtain:
hence, the equation for the tangent line is y = 4/9 x - 14/9
(c) To find d2y/dx2 you derivative the result obtain in the equation (2):
(4)
the second derivative for the point (-1,-2) is obtained by replacing y=-2 and dy/dx=m=4/9 in the equation (4):
hence, d2y/dx2 evaluated in (-1,-2) is -64/243
Step-by-step explanation:
Answer: 5 seconds
<u>Step-by-step explanation:</u>
Maximum height is the y-value of the vertex. The number of seconds at maximum height is the x-value (aka axis of symmetry).
h(x) = -2x² + 20x + 48
a=-2 b=20 c=48
Axis of symmetry: x = 
= 
= 
= 5
