Answer:
Therefore the required equation is
Y=5+3X
Step-by-step explanation:
Given that , Joey has 5 collector stamps.
He gets 3 more stamps each week.
The number of week is X.
1st week he got 3 stamps
2nd week he got (3+3)=2.3 stamps
3rd week he got (3+3+3)=3.3 stamps
Stamp that he got=( the number of week ×3)
Therefore at end of Xth week he got =(X × 3) =3X stamps
Total number of stamps that collected after x week
=5+3X
Therefore the required equation is
Y=5+3X
Answer:
12
Step-by-step explanation:
10/19. 40/4=10, and 56/4=19. therefore the answer is 10/19.
Answer: 19 cm
<u>Step-by-step explanation:</u>

99 = 
99 = 
198 = (2x + 13)(x - 4)
198 = 2x² + 5x - 52
0 = 2x² + 5x - 250
0 = 2x²- 20x + 25x - 250
0 = 2x(x - 10) + 25( x - 10)
0 = (2x + 25)(x - 10)
0 = 2x + 25 or 0 = x - 10
= x or x = 10
Since length cannot be negative,
can be disregarded
Larger base: x + 9 = 10 + 9 = 19
Answer:
Please find attached the required graph of the equation, y = x² - 2·x - 8, created using MS Excel
Step-by-step explanation:
The given function required to be plot is y = x² - 2·x - 8
Therefore, the coordinates of the vertex of the parabola formed by the equation (h, k) is given as follows;
h = -(-2)/(2×1) = 1
k = 1² - 2×1 - 8 = -9
The coordinates of the vertex = (1, -9)
The roots of the equation is given when y = 0, as follows;
At the roots, we have;
x² - 2·x - 8 = 0
By factorizing, we get
x² - 2·x - 8 = (x - 4)·(x + 2) = 0
Therefore. the roots of the equation are;
x = 4, and x = -2
The coordinates of the roots are;
(4, 0), and (-2, 0)
Two other points can be found at when x = 3 and when x = 0 as follows;
When x = 3, we have;
y = 3² - 2×3 - 8 = -5
(3, -5)
When x = 0, we have;
y = 0² - 2×0 - 8 = -8
(0, -8)
The five points are;
(1, -9), (4, 0), (-2, 0), (3, -5), (0, -8)
The graph of the equation created using MS Excel showing the five points is attached.