Answer:
Step-by-step explanation:
Arithmetic sequence:
Here a is the first term and d is the common difference.
⇒ 
------------(I)
⇒ a + 19d = 100 ---------(II)
Subtract equation (I) from (II)
(I1) a + 19d = 100
(II) a + 13d = 46
<u>- - -</u>
6d = 54
d = 54 ÷ 6
Substitute d = 9 in equation(I) and find 'a',
a + 13*9= 46
a + 117 = 46
a = 46 - 117
a = -71
= -71 + 18
= -53
= -71 + 54
= -17
= -71 + 9*n - 1 *9
= -71 + 9n - 9
= -71 - 9 + 9n
= - 80 + 9n
1,050,200
The number between 1 and 10: 1
The power of 10: 6
The number in scientific notation: 1.05^6 or 1.050200^6
34,600
The number between 1 and 10: 3
The power of 10: 4
The number in scientific notation: 3.46^4
Answer:
1) 32
2) x=9
4) 36
Step-by-step explanation:
Answer:
15x^2-32x+9
Step-by-step explanation:
(3x – 1)(5x – 9)
FOIL
first: 3x*5x= 15x^2
outer: 3x(-9) = -27x
inner: -1(5x) = -5x
last: -1(-9) = 9
Add them together
15x^2 -27x-5x +9
Combine terms
15x^2-32x+9
3x^2 + 6x - 10 = 0
x = [-6 +/- sqrt(^2 - 3*3*-10)] / 2*3
= 1.08 and -3.08
Other x -intercept is (-3.08,0)
