Answer:
21 per min
Step-by-step explanation:
X = how much Tim has
y = how much Tom has
x + y = 2.40
x = 3y
Substitute 3y for x
3y + y = 2.40
4y = 2.40
y = 0.60
Plug in y value into previous equation
x = 3(0.60)
x = 1.80
ANSWERS: Tim has $1.80 and Tom has $0.60
X² = 10² + 6²
X² = 100 + 36
X² = 136
X = √136
Answer:
a) See attachment 1.
b) t² and D
c) See attachment 2.
d) g = 9.8 m/s² (1 d.p.)
Step-by-step explanation:
<h3><u>Part (a)</u></h3>
See attachment 1. The line of best fit is shown in red.
<h3><u>Part (b)</u></h3>
The quantities the student should graph in order to produce a <u>linear relationship</u> between the two quantities are t² and D.
<h3><u>Part (c)</u></h3>
Make a table of values of t² and D:

<u>Plot</u> a graph of D against t² and draw a line of best fit (see attachment 2).
<h3><u>Part (d)</u></h3>
From inspection of the graph, the line of best fit passes through the origin (0, 0) and (0.1024, 5.0). Therefore, use these two points to find the slope of the line:

Therefore:



Answer:
Step-by-step explanation:
The easiest way to determine the answer to your question is to evaluate the
discriminant
For a quadratic in the form:
y
=
a
x
2
+
b
x
+
c
the
discriminant
) is equal to
b
2
−
4
a
c
For your example
4
x
2
+
8
x
+
3
=
0
The
discriminant
is
Δ
=
8
2
−
4
(
4
)
(
3
)
2
(
4
)