An equation is formed of two equal expressions. The value of x in the given exponential equation is 10. The correct option is 10.
<h3>What is an equation?</h3>
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
In the given exponential equation
, It can be observed that the base of both the sides of the equation is the same, therefore, 5. Therefore, the equation can be written as,

Since the base on both the sides are the same, comparing the exponential values on both sides,
x - 2 = 8
x = 8 + 2
x = 10
Hence, the value of x in the given exponential equation is 10.
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Answer:
z = 5
Step-by-step explanation:
m = ∆y/∆x = y₂-y₁/x₂-x₁
0 = y₂-y₁/x₂-x₁ = 5 - z / -7 - 9 = 5 - z / -16 →
5 - z / -16 = 0 → 5 - z / -16 × -16 = 0 × -16 → 5 - z = 0 →
5 - z - 5 = 0 - 5 → -z = -5 → z = 5
Answer:
the slope represents the cost for each hour it takes to repair the machine.Step-by-step Answer:
We are given that the cost of a service call to fix a washing machine can be expressed by the linear function
Where
y=Total cost of a service to fix the machine.
x=Number of hours takes to fix the machine
We have to find that slope in this function what represents.
General equation of line is given by
Where m=Slope of line
c=y- intercept
Comparing the general equation with the given function
We get m=45,c=35
m=45 represents the cost for each hour it takes to repair the machine because when number of hours multiplied by 45 then we get total cost of x hours.
Hence, the slope represents the cost for each hour it takes to repair the machine.