The catapult arm length for their tennis balls to cover the same distance is 32.3 feet.
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the rate of change and b is the initial value of y.
Given the equations:
Aiden: y = 2.3x + 160.7
Natalie: y = 3.6x + 202.6
For their tennis balls to cover the same distance:
2.3x + 160.7 = 3.6x + 202.6
1.3x = -41.9
x = -32.3
The catapult arm length for their tennis balls to cover the same distance is 32.3 feet.
Find out more on linear equation at: brainly.com/question/14323743
Answer:
f
(
x
)
=
3
x
3
−
5
x
2
−
47
x
−
15
Explanation:
If the zero is c, the factor is (x-c).
So for zeros of
−
3
,
−
1
3
,
5
, the factors are
(
x
+
3
)
(
x
+
1
3
)
(
x
−
5
)
Let's take a look at the factor
(
x
+
1
3
)
. Using the factor in this form will not result in integer coefficients because
1
3
is not an integer.
Move the
3
in front of the x and leave the
1
in place:
(
3
x
+
1
)
.
When set equal to zero and solved, both
(
x
+
1
3
)
=
0
and
(
3
x
+
1
)
=
0
result in
x
=
−
1
3
.
f
(
x
)
=
(
x
+
3
)
(
3
x
+
1
)
(
x
−
5
)
Multiply the first two factors.
f
(
x
)
=
(
3
x
2
+
10
x
+
3
)
(
x
−
5
)
Multiply/distribute again.
f
(
x
)
=
3
x
3
+
10
x
2
+
3
x
−
15
x
2
−
50
x
−
15
Combine like terms.
f
(
x
)
=
3
x
3
−
5
x
2
−
47
x
−
15
Answer:Solution:
Let starting map of youth center has Dimension (Preimage)
1 unit of y= k units
1 unit of x = t units
The new map of youth center which is 3 times larger than original(Image)
1 unit of y= 3 k units
1 unit of x = 3 t units
Image = 3 × Pre- image
The image is larger than Pre- image.
So, Scale of the new map = 3 × The original dimension of map.
Step-by-step explanation:
