First, let's find the x and y intercepts
In the first equation
y - 4x = -1
Put x =0
y= - 1
(0, -1)
Put y=0 and the n solve for x
0 - 4x = -1
-4x = -1
x=0.25
(0.25 , 0)
The points for the first equation is (0, -1 ) and (0.25, 0)
Next is to find the intercts for the second equation
y + x = 4
put x=0
y = 4
(0, 4)
Put y =0
0 + x = 4
x = 4
( 4, 0)
The points for the second equation are;
(0, 4) and (4, 0)
Below is the graph
(-3,7)(9,5)
midpoint formula : (x1 + x2)/2 , (y1 + y1)/2
(-3 + 9)/2 , (7 + 5)/2 = (6/2, 12/2) = (3,6) <==
Answer:
he grows by 5 cm every year between 1999 and 2006
Step-by-step explanation:
This is a arithmetic progression problem with the formula;
T_n = a + (n - 1)d
We are told that In 1999 Daniel was 146 cm tall. He grew to be 176 cm by the year 2006.
Thus;
a = 146
d = 2006 - 1999 = 7
Thus;
176 = 146 + (7 - 1)d
176 - 146 = 6d
30 = 6d
d = 30/6
d = 5 cm
Thus, he grows by 5 cm every year between 1999 and 2006
Answer:
20, increased, Bianca
Step-by-step explanation:
First one:
He is shown to have travelled 20km in 1 hour, so that's 20km/h.
Second:
The gradient is how steep the curve is, the steeper the faster the person is travelling. Due to the fact Bianca's curve becomes steeper, it shows she is travelling faster. Therefore, her running speed increases.
Third:
Bianca's line hits 50km before Alberto, so therefore she finished first.
Let me know if this makes sense, hope it helped! :D
F(x) = 3x^3 -2x^2 - 19x -6
