The plot of the graph y = –1.5(4)^x is shown below of which its domain and range exist on all real values
<h3>Exponential equation</h3>The standard exponential function is expressed as y = ab^x
where
The exponential function shows an increase along the y-axis and towards the x-axis
According to the equation, we are to plot the graph y = –1.5(4)^x of which its domain and range exist on all real values
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Answer:
The common factor is 5x.
The factored polynomial is:
Step-by-step explanation:
Factor of the numbers:
The common factor of the numbers 5, 30 and 10 is 5, as it is the greater common divisor of them, as found below:
5 - 30 - 10|5
1 - 6 - 2
Factor of the exponents:
Between and
, the common factor is the x with the lowest exponent. So x
Common factor
Number multiplied by exponents, so 5x.
Factoring the polynomial:
The factored polynomial is:
Answer:
2.25 square inches
Step-by-step explanation:
we know that
The scale is
That means
1 inch on a map represent 20 miles in the city
so
An area of on a map represent an area of
in the city
Applying proportion
Answer:
The probability that they will both be on time is 12/25.
Step-by-step explanation:
John is late 20% of the time.
So, he is prompt 80% of the time.
Ted is late 40% of the time.
So, he is prompt 60% of the time.
Since, both the events are independent,
p(John be on time ∩ Ted be on time) = p(John be on time) × p(Ted be on time)
×
= 0.80 × 0.60
= 0.48 or 48%
Hence, the probability that they will both be on time is 12/25.