What is the difference of the polynomials?(5x3 + 4x2) – (6x2 – 2x – 9)
A. –x3 + 6x2 + 9
B. –x3 + 2x2 – 9
C. 5x3 – 2x2 – 2x – 9
D. 5x3 – 2x2 + 2x + 9
Answers
-1(6x²) -1(-2x) -1(-9) = -6x² + 2x + 9
5x³ + 4x² - 6x² + 2x + 9
5x³ - 2x² + 2x + 9 Choice D.
The difference between the polynomials (5x³-4x²)-(6x²-2x-9) is 5x³-2x²+2x+9 and the right option is D. 5x³-2x²+2x+9.
What is polynomial?
A polynomial is an expression of more than two algebraic terms
To calculate the difference between both polynomials we apply the techniques below.
Given:
- (5x³-4x²)-(6x²-2x-9)
Substrat each like term accordingly.
- (5x³-0)+(4x²-6x²)+(0-2x)+(0-9)
- 5x³-2x²+2x+9
Hence, the difference between the polynomials (5x³-4x²)-(6x²-2x-9) is 5x³-2x²+2x+9 and the right option is D. 5x³-2x²+2x+9.
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Related Questions
Dexter is making a sculpture withthe dimensions shown. What is thesurface area of the sculpture? Use3.14 for pi.
Suppose ∠A and ∠B are complementary angles, m∠A = (3x + 5)°, andm∠B = (2x – 15)°. Solve for x and then find m∠A and m∠B.
Order these numbers from least to greatest. 8.16 , 16320 , 829 , 8.139
If 5 a = 45, ba= 1, then b=
Answers
Answer:
The diameter is 32.04 Inches
Step-by-step explanation:
If the Bicycle makes 5 rotations and it equals 41.87 ft
Then 1 rotation around the circumference is
41.87/5 = 8.374 ft
Circumference =
8.374 = 3.14*d
Divide both sides by 3.14
d = 8.374/3.14
d = 2.67 ft
To convert feet to inches, we multiply by 12
d = 2.67*12 inches
d = 32.04 Inches
Answer:
2.66687898
Step-by-step explanation:
Answers
let h be the high quality bean
let c be the cheaper bean
h + c = 160
6h + 3.25c = 160*4.97
6h + 3.25c = 795.20
h = 160 - c
6(160 - c) + 3.25c = 795.20
960 - 6c + 3.25c = 795.20
-2.75c = 795.20 - 960
-2.75c = -164.80
c = -164.80 / -2.75
c = 59.92 or 60 lbs
h = 160 - c
h = 160 - 60
h = 100 lbs
Sarah should blend 60 lbs of cheap coffee bean and 100 lbs of high quality coffee bean.
b.about 41 nails
c.about 16 nails
d.about 19 nails
Answers
Answer:
(D) About 19 nails
Step-by-step explanation:
It is given that mean length= 5 inches and the standard deviation =0.03.
In order to standardize x to z, we use the formula=.
Now, probability of nails having length more than 5.03=
=
= b(Using the normal probability table)
In a bag of 20 nails, nails having length more than 5.03 inches==
= about nails.
Answers
Final answer:
The solution to the system of equations y= x - 4 and y= 6x - 10 is (1.2,-2.8) by using substitution method and solving the resulting equation.
Explanation:
To solve this system of equations, you can use the substitution method. Since both equations have 'y' isolated, you can set them equal to each other. This gives you x - 4 = 6x - 10. To solve this equation, you can subtract 'x' from both sides which will give you -4 = 5x - 10. Then add 10 to both sides to give you 6 = 5x. Finally, divide by 5 on both sides to give you x = 1.2. Substituting x = 1.2 into the first equation y = x - 4 gives us y = 1.2 - 4, which simplifies to y = -2.8. Thus the solution to the system of equations is (1.2,-2.8).
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Answers
I stand ready to begin the task, as soon as you tell me the equation.