Answer:

Step-by-step explanation:
1) Expand by distributing terms.

2) Simplify 2 × -14 to -28.

3) Remove parentheses.

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Answer:
x ={0; - 1 ; 2 ; 1}
Step-by-step explanation:
x¹³-2x¹²-x¹¹+2x¹⁰=0
x¹⁰(x³-2x²-x+2)=0
x¹⁰(x+1)(x-2)(x-1)=0
x¹⁰=0 ∨ x+1=0 ∨ x-2=0 ∨ x-1=0
x=0 x= - 1 x= 2 x= 1
Answer:
x<29
Step-by-step explanation:
This would be the BEST answer. Hope it helps! ☺
Answer:
Answer C is correct.
Step-by-step explanation:
f(x) clearly has a maximum: y = +10 at x = 0.
Analyzing g(x) = -(x + 1)^2 - 10, we see that the vertex is at (-1, -10), and that the graph opens down. Thus, -10 is the maximum value; it occurs at x = -1.
Answer A is false. Both functions have max values.
Answer B is false. One max is y = 10 and the other is y = -10.
Answer C is correct. The max value of f(x), which is 10, is greater than the max value of g(x), which is -10.
Answer D is false. See Answer B, above.
Answer:
x = 12
m(QS) = 52°
m(PD) = 152°
Step-by-step explanation:
Recall: Angle formed by two secants outside a circle = ½(the difference of the intercepted arcs)
Thus:
m<R = ½[m(PD) - m(QS)]
50° = ½[(12x + 8) - (4x + 4)] => substitution
Solve for x
Multiply both sides by 2
2*50 = (12x + 8) - (4x + 4)
100 = (12x + 8) - (4x + 4)
100 = 12x + 8 - 4x - 4 (distributive property)
Add like terms
100 = 8x + 4
100 - 4 = 8x
96 = 8x
96/8 = x
12 = x
x = 12
✔️m(QS) = 4x + 4 = 4(12) + 4 = 52°
✔️m(PD) = 12x + 8 = 12(12) + 8 = 152°