Answer:
Option A is correct.
Step-by-step explanation:
Given
To determine
What is the equation in the standard form of the line that passes through the point (4, −8) and has a slope of 1/4.
Using the point-slope form of the line equation
where
- m is the slope of the line
substituting the values m = 1/4 and the point (4, -8)
Subtract 8 from both sides
Writing the equation in the standard form
As we know that the equation in the standard form is
Ax+By=C
where x and y are variables and A, B and C are constants
so
Therefore, the equation in the standard form of the line that passes through the point (4, −8) and has a slope of 1/4 will be:
Hence, option A is correct.
Answer:
460,375
Step-by-step explanation:
There are six digits to choose from, but you're only taking three at a time, so the number of such numbers is
The first and last digits can only be even if the number takes the one of the forms "2 _ 8" or "8 _ 2". The middle number can be any of the remaining four, so there is a total of eight such numbers.
This means the probability of getting a number beginning and ending with an even digits is
.
The required exponential function that contains the points (3,24) and (4,48) is y = 3(2)^x
<h3>Exponential functions</h3>
The standard exponential function is expresses as y = ab^x
Given the coordinate points (3,24) and (4,48), the equivalent equations are:
24 = ab^3 ......... 1
48 = ab^4
Take the ratios
48/24 = b^4/b^3
2 = b
Substitute b = 2 into equation 1
24 = a(2)^3
8a = 24
a = 3
Hence the required exponential function that contains the points (3,24) and (4,48) is y = 3(2)^x
Learn more on exponential function here: brainly.com/question/12940982
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Answer:
The graph
Step-by-step explanation:
