Answer:
14. (0,1)
Step-by-step explanation:
To find the solution set, substitute and evaluate each point into the given equation. If it makes it true then it is part of the solution set.
14. y = 4x + 1
(2,-1)
-1 = 4*2 + 1
-1 = 9 FALSE
(1,5)
5 = 4*-1 + 1
5 = -3 FALSE
(9,2)
2 = 4*9+1
2 = 37 FALSE
(0,1)
1 = 4*0+1
1=1 TRUE
3. ΔBDE ~ ΔBCF
4. BF/BC = BE/BD
5. 254/BC = 160/457
.. BC = 254*457/160 ≈ 725 units
By either long or synthetic division, it's easy to show that

The quartic will be exactly divisible by

when the numerator of the remainder term vanishes, or for those values of

such that

I'm not sure how to count the number of solutions (software tells me it should be 80), but hopefully this is a helpful push in the right direction.
Answer:
D 0.00009
Step-by-step explanation:
9 × 10^-5 = 9 × 1/10^5 = 9 × 1/100,000
= 9 × 0.00001
= 0.00009
_____
<em>Comment on place value</em>
The exponent of 10 associated with the place value in a decimal number increases from 0 to the left of the decimal point, and decreases from -1 to the right of the decimal point:
100. = 10²
10. = 10¹
1. = 10⁰
0.1 = 10⁻¹
0.01 = 10⁻²
0.001 = 10⁻³
0.0001 = 10⁻⁴
0.00001 = 10⁻⁵
This simple realization can help you immensely with scientific notation.
2 lines I think, not sure though