If 20% of a school was made up of out-of-district students last year, but the number of out-of-district students increased by 50
1 answer:
Answer:
<h2>30% is enrolled out-of-district.</h2>Step-by-step explanation:
According to the word problem, the number is increased by 50%.
To increase a number by a percent, multiply the number and the percent.
We can do this by changing both percents to decimals.
To change a percent to a decimal, divide it by 100.
The number is INCREASED by 50% so 0.5 would become 1.5.
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Answer:
The equation of the line in form where
are integers with no factor common to all three, and greater than or equal 0 is:
Step-by-step explanation:
Given:
x-intercept = 12
y-intercept = 4
To find the equation of line in the form where
are integers with no factor common to all three, and greater than or equal 0.
Solution:
The x-intercept is the point at which the line cuts the x-axis. The point of x-intercept is given as
Thus, on point of the line is (12,0)
The y-intercept is the point at which the line cuts the y-axis. The point of y-intercept is given as .
Thus, on point of the line is (0,4)
Using the two points we can find the slope of the line using the slope formula.
So, slope of the line can b given as:
The slope intercept form of the equation of he line is given as:
where represents slope of the line and
represents the y-intercept.
So, the equation of the line can be given as:
Multiplying each term by 3 to remove fraction.
Adding both sides.
Thus, the equation of the line in form where
are integers with no factor common to all three, and greater than or equal 0 is:
Given function is
now we need to find the value of k such that function f(x) continuous everywhere.
We know that any function f(x) is continuous at point x=a if left hand limit and right hand limits at the point x=a are equal.
So we just need to find both left and right hand limits then set equal to each other to find the value of k
To find the left hand limit (LHD) we plug x=-4 into 3x+k
so LHD= 3(-4)+k
To find the Right hand limit (RHD) we plug x=-4 into
so RHD=
Now set both equal
k=-0.47
<u>Hence final answer is -0.47.</u>