4 times the sum of x and y is:
4(x+y) where you're multiplying the expression x+y four times. the sum of 4 times x and y is: 4x+y where you only multiply x four times and y is left out of the multiplication.
To check if a piecewise defined function is continuous, you need to check how the pieces "glue" together when you step from one domain to the other.
So, the question is: what happens at x=3? If you reach x=3 from values slightly smaller than 3, you obey the rule f(x)=log(3x). So, as you approach 3, you get values closer and closer to

Similarly, if you reach x=3 from values slightly greater than 3, you obey the rule f(x)=(4-x)log(9). So, as you approach 3, you get values closer and closer to

So, the function is continuous at x=3, because both pieces approach log(9) as x approaches 3.
The linear equation in slope-intercept form can be written as:
y = 5*x + 6
<h3>How to find the linear equation?</h3>
A general linear equation in the slope-intercept form is:
y = a*x + b
Where x is the independent variable, y is the dependent variable, and a and b are constant real numbers, such that a is the slope and b is the y-intercept.
Here we know that the slope is 5, then we can replace a by 5.
And we know that the y-intercept is (0, 6), it means that b = 6.
Then the linear equation in slope-intercept form can be written as:
y = 5*x + 6
If you want to learn more about linear equations:
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Answer:
Number of sent mail = 36
Number of received mail = 75
Step-by-step explanation:
Let,
x be the number of mails sent
y be the number of mails received
According to given statement;
x + y = 111 Eqn 1
y = 2x + 3 Eqn 2
Putting value of y from Eqn 2 in Eqn 1
x + 2x + 3 = 111
3x = 111 - 3
3x = 108
Dividing both sides by 3

Putting x = 36 in Eqn 2
y = 2(36) + 3
y = 72 + 3 = 75
Hence,
Number of sent mail = 36
Number of received mail = 75
Answer:
bro why is the question so long put it in smaller parts so its readable