Answer:
A. the equality means that the two equations should be equal in a certain x value. Solving the x for these equation gives you the x point where the 2 equations intersect.
B. The x value where the funcionts intersect is x = 1
Step-by-step explanation:
You can solve the x value using natural logarithms.
If you make a table for the two functions you will also see the result:
Value y = 8^x y = 2^(x+2)
-3 0,00195 0,5
-2 0,0156 1
-1 0,125 2
0 1 4
1 8 8
2 64 16
3 512 32
Answer:
1. True
2. False.
3. True.
Step-by-step explanation:
1. The total area within any continuous probability distribution is equal to 1.00: it is true because the maximum probability (value) is one (1), therefore, the total (maximum) area is also one (1).
<em>Hence, for continuous probability distribution: probability = area</em>.
2. For any continuous probability distribution, the probability, P(x), of any value of the random variable, X, can be computed: False because it has an infinite number of possible values, which can not be counted or uncountable.
<em>Hence, it cannot be computed. </em>
3. For any discrete probability distribution, the probability, P(x), of any value of the random variable, X, can be computed: True because it has a finite number of possible values, which are countable or can be counted.
<em>Hence, it can be computed. </em>
Answer:
x2-14x+52 is the answer in my calculation.
Answer:
b
Step-by-step explanation:
The equation:
3
x
2
−
5
x
−
12
=
0
is in the form:
a
x
2
+
b
x
+
c
=
0
with
a
=
3
,
b
=
−
5
,
c
=
−
12
The roots are given by the quadratic formula:
x
=
−
b
±
√
b
2
−
4
a
c
2
a
x
=
5
±
√
(
−
5
)
2
−
4
(
3
)
(
−
12
)
2
(
3
)
x
=
5
±
√
25
+
144
6
x
=
5
±
√
169
6
x
=
5
±
13
6
That is:
x
=
5
+
13
6
=
18
6
=
3
or
x
=
5
−
13
6
=
−
8
6
=
−
4
3
Hello!
Let's put this as a system of equations.
r= 8+g
r+g=14
Let's plug our r value into the second equation and solve for g.
8+g+g=14
8+2g=14
Now we subtract 8 from both sides.
2g=6
We divide both sides by 2.
g=3
Therefore, he has 3 green peppers.
I hope this helps!