Answer:
(
2
x
−
6
)
2
+
4
(
2
x
−
6
)
+
3
=
0
Simplify the left side.
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(
2
x
−
6
)
2
+
8
x
−
21
=
0
Use the quadratic formula to find the solutions.
−
b
±
√
b
2
−
4
(
a
c
)
2
a
Substitute the values
a
=
4
,
b
=
−
16
, and
c
=
15
into the quadratic formula and solve for
x
.
16
±
√
(
−
16
)
2
−
4
⋅
(
4
⋅
15
)
2
⋅
4
Simplify.
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x
=
4
±
1
2
The final answer is the combination of both solutions.
x
=
5
2
,
3
2
Step-by-step explanation:
0= -3x+9
-9=-3x
3=x
Final answer: x=3
There is only one zero because it is linear, and can therefore only cross the x axis once.
Answer:
This is an exponential decay
Because the base of the exponent is 1/4.4 which is less than 1
Step-by-step explanation:
What is exponential growth?
when the base of our exponential is bigger than 1, which means those numbers get bigger.
What is exponential decay?
when the base of our exponential is in between 1 and 0 and those numbers get smaller.
Answer:
$3.98(estimated)
Step-by-step explanation:
3c (cake) + 2(2c - 11) (bread) = 5.87
3c + 4c - 22 = 5.87
7c - 22 = 5.87
7c = 5.87 + 22
7c = 27.87
c = 3.98
Answer:
2/9
Step-by-step explanation:
given that Tyler selects one card from the three(4,5, and a King), and rolls a number cube.
We find that A the event of selecting one card and B getting a number on rolling a number cube are independent events.
No of cards = 3
Prob of selecting 5 from 3 cards = 
When rolling a number cube (assuming fair) there is equally likely for all numbers to appear from 1 to 6
Prob of getting 5 =
Prob of getting less than 5 =
Since these two events are independent,
the probability that she selects the 5, and rolls a number less than 5
= Product of probabilities
= *
=
