Answer:
x² - 3x - 10 = (x - 5) (x + 2)
x² - 3x - 18 = (x + 3) (x - 6)
Step-by-step explanation:
<u>x² - 3x - 10</u>
x² + 2x - 5x - 10
x(x + 2) - 5(x + 2)
(x - 5) (x + 2)
<u>x² - 3x - 18</u>
x² - 6x + 3x - 18
x(x - 6) + 3(x - 6)
(x + 3) (x - 6)
<u>-TheUnknown</u><u>S</u><u>cientist</u>
A group of young men decided to raise Ksh.480000 to start a business. Before actual payment was made four members pulled out and each of the remaining had to pay an additional Ksh.20000. Write an expression in terms of P for.
(a) (i) Original contribution of each member.
(ii) Contribution after withdrawal of four members.
(b) Form an equation in P and hence determine the number of initial members.
(c) Three men Kamau, James and Hassan shared Shs.480000 such that Kamau: James is 3: 2 and James: Hassan is 4: 2. Find how much each got.
This is a linear equation in slope-intercept form. We can see that the slope is -1 and the y-intercept is -3 -- the line passes through (0, -3).
To graph this, we can simply plot the point (0, -3) and draw a line with slope negative 1 (this means that for every unit right, we have to move 1 unit down.
I have attached a picture of the graph.
Answer:
Step-by-step explanation:
A geometric sequence is a sequence in which the successive terms increase or decrease by a common ratio. The formula for the nth term of a geometric sequence is expressed as follows
Tn = ar^(n - 1)
Where
Tn represents the value of the nth term of the sequence
a represents the first term of the sequence.
n represents the number of terms.
From the information given,
r = 1/3
T3 = - 81
n = 3
Therefore,
- 81 = a× 1/3^(3 - 1)
-81 = a × (1/3)^2
-81 = a/9
a = -81 × 9 = - 729
The exponential equation for this sequence is written as
Tn = - 729 * (1/3)^(n-1)
49=-7k is equivalent to D because when you simplify both of them, you get -7=k
