For logarithmic equations,
log
b
(
x
)
=
y
logb(x)=y
is equivalent to b
y
=
x
by=x
such that x
>
0
x>0
, b
>
0
b>0
, and b
≠
1
b≠1
.In this case, b
=
5
b=5
, x
=
25
x=25
, and y
2
y=2
.
b
=
5
b=5
x
=
25
x=25
y
=
2
y=2
Substitute the values of b
b
, x
x
, and y
y
into the equation
b
y
=
x
by=x
.
5 squared
=
25
5squared=25
Answer:
Option (2)
Step-by-step explanation:
Option (1)
In the interval [-1, 1] Or -1 ≤ x ≤ 1, value of the function will be represented by the y-values.
Since, the graph is below x-axis in the interval -1 ≤ x ≤ 0.5, function will be negative.
And in the interval 0.5 ≤ x ≤ 1, graph is above the x-axis, function will be positive.
Option (2)
In this option, graph is below the x-axis in the interval [-1, 1].
Therefore, the given graph is negative in this interval.
Option (3)
In this graph, function is negative and positive both in the interval -1 ≤ x ≤ 1.
Option (4)
In this graph function is completely above the x-axis in the interval -1 ≤ x ≤ 1.
So this function is positive in the interval [-1, 1].
Therefore, Option (2) will be the answer.
Answer: Their weekly pay would be the same if xx equals $1,600
Step-by-step explanation: The first and most important step is to identify what the question requires, and that is, what is the value of the unknown in the equation of their weekly incomes that would make their pay to be the same? Their weekly pay as per individual is given as follows;
Khloe = 245 + 0.095x ———(1)
Emma = 285 + 0.07x ———(2)
Simply put, we need to find the value of x when equation (1) equals equation (2)
245 + 0.095x = 285 + 0.07x
Collect like terms and we now have
0.095x - 0.07x = 285 - 245
0.025x = 40
Divide both sides of the equation by 0.025
x = 1600
Therefore their weekly pay would be at the same level, if x equals $1600
Answer:
2nd option, x > 1.10
Step-by-step explanation:
Add 5 to both sides,
Divided both sides by 7,
Apply Exponent Rule,
x > ln(3) or x > 1.09861
Learn more about logarithms here: brainly.com/question/12049968
We just need to count the number of outcomes that have exactly one even number. The total number of outcomes is 36. We see that from the first row, the number of outcomes that qualify are 3: 1-2, 1-4, 1-6 (out of the 6 total outcomes). For the 2nd row, again there are 3: 2-1, 2-3, 2-5. It is obvious by now that for any row, whether the number is even or odd, there are 3 outcomes on that row that correspond to rolling exactly one even number. Hence, there are in total 6*3=18 favorable outcomes.
