Answer:
1 false
2 true
3 true
4 false
5 true
Step-by-step explanation:
f(a) = (2a - 7 + a^2) and g(a) = (5 – a).
1 false f(a) is a second degree polynomial and g(a) is a first degree polynomial
When added together, they will be a second degree polynomial
2. true When we add and subtract polynomials, we still get a polynomial, so it is closed under addition and subtraction
3. true f(a) + g(a) = (2a - 7 + a^2) + (5 – a)
Combining like terms = a^2 +a -2
4. false f(a) - g(a) = (2a - 7 + a^2) - (5 – a)
Distributing the minus sign (2a - 7 + a^2) - 5 + a
Combining like terms a^2 +3a -12
5. true f(a)* g(a) = (2a - 7 + a^2) (5 – a).
Distribute
(2a - 7 + a^2) (5) – (2a - 7 + a^2) (a)
10a -35a +5a^2 -2a^2 -7a +a^3
Combining like term
-a^3 + 3 a^2 + 17 a - 35
Statement 2,3 and 5
The sum, difference and product of two (or more) polynomials is also a polynomial.
Statement 2 is correct
Sum:
(a² - 7 + 2a) + (5 - a)
a² + 2a - a - 7 + 5
a² + a - 2
Statement 3 is correct
This is a degree 2 polynomial so
Statement 1 is incorrect
Difference:
(a² - 7 + 2a) - (5 - a)
a² + 2a + a - 7 - 5
a² + 3a - 12
Statement 4 is incorrect
Product:
(a² + 2a - 7) × (-a + 5)
-a³ + 5a² - 2a² + 10a + 7a - 35
-a³ + 3a² + 17a - 35
Statement 5 is correct
Answer:a
I think it is 52 degrease
No
10/18 does not equal 45/18
An example of a proportional number is:
4/5 and 8/10
Both numbers are multiplied by 2 making them proportional
10/18 and 45/18 are not proportional
Hope this helped :)
(10,5), (-12,-6), (-18, -9), (-8, -4), (20,10)
(-15, 5), (-18, 6), (-21,7), (33, -11), (24, -8)
10/5=2, -12/-6=2, -18/-9=2, -8/-4=2, 20/10=2
-15/5= -3, -18/6= -3, -21/7= -3, 33/-11= -3, 24/-8= -3
