6n +5<7n + 10
1 answer:
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Answer:
1. 4 + 26x² + 4x - 48
2. 2 - 23x² + 60x - 32
3. + 7
- 4x + 2
+ 14x² - 8
4. 2 +
- 28
+ 3x + 12
Step-by-step explanation:
To multiply polynomials, simply distribute whatever's outside the largest set of parenthesis, then combine like terms.
1) Distribute the parenthesis (x + 6):
x(4x² + 2x - 8) + 6(4x² + 2x - 8)
4 + 2x² -8x + 6(4x² + 2x -8)
4 + 2x² -8x + 24x² + 12x - 48
Combine like terms:
4 + 26x² + 4x - 48
2) Distribute the parenthesis (x - 8):
x(2x² - 7x + 4) + (-8)(2x² - 7x + 4)
2 - 7x² + 4x + (-8)(2x² - 7x + 4)
2 - 7x² + 4x + -16x² + 56x - 32
Combine like terms:
2 - 23x² + 60x - 32
3) Distribute the parenthesis (x + 2):
x( + 7x² - 4) + 2(
+ 7x² - 4)
+ 7
- 4x + 2(
+ 7x² - 4)
+ 7
- 4x + 2
+ 14x² - 8
No like terms to combine, so:
+ 7
- 4x + 2
+ 14x² - 8
4) Distribute the parenthesis (x + 4):
x(2 - 7
+ 3) + 4(2
- 7
+ 3)
2 - 7
+ 3x + 4(2
- 7
+ 3)
2 - 7
+ 3x + 8
- 28
+ 12
Combine like terms:
2 +
- 28
+ 3x + 12
hope this helps!
<h2>Answer:</h2>
The vertex of the function is:
(-2,-2)
<h2>Step-by-step explanation:</h2>We are given a absolute value function f(x) in terms of variable "x" as:
We know that for any absolute function of the general form:
the vertex of the function is : (h,k)
and if a<0 the graph of function opens downwards.
and if a>0 the graph of the function opens upwards.
Hence, here after comparing the equation with general form of the equation we see that:
a= -1<0 , h= -2 and k= -2
Since a is negative , hence, the graph opens down .
Hence, the vertex of the function is:
(-2,-2)
Answer:
-0.5
Step-by-step explanation:
