Answer:
28
Step-by-step explanation:
It can be a one digit no.
_
2C1 = 2 (only two even options available)
It can be a 2 digit no.
_ _
The last digit has to be even for the no. to be even.
2C1 × 4C1 = 8 (2C1 for the last digit, 4C1 for the first)
It can be a 3 digit no.
_ _ _
First digit has to be less than 5 to be less than 500, and the last digit has to be even.
1) 2/4 _ 4
2C1 × 3C1 = 6 (2C1 to choose between 2 and 4, 3C1 for the second digit)
2) 1/3 _ 2/4
2C1 × 3C1 × 2C1 = 12 (2C1 to choose between 1 and 3, 3C1 for the second digit, 2C1 to choose between 2 and 4)
Total = 2 + 8 + (6 + 12)
= 28
The percent decrease is found by using the formula (original price - new price)/(original price). The percent decrease is then (2.49 - 1.99)/2.49 = 0.20 = 20%. A percent increase is found by using the formula (new price - original price)/(original price). The percent increase is then (2.49 - 1.99)/1.99 = 0.25 = 25%. The percents of change are not the same. The percent increase is greater.
Answer: y = 15, x = 10
<u>Step-by-step explanation:</u>
NOTE: "varies directly" is of the form 
where k is the constant of proportionality.
First, input the given x and y-values to find k
Next, input the given value and k = 3 to solve for the missing variable.
Answer:
Step-by-step explanation:
We want to write a quadratic function in vertex form whose vertex is (1, 0) and passes through the point (2, -17).
Recall that vertex form is given by:
Where (<em>h</em>, <em>k</em>) is the vertex and <em>a</em> is the leading coefficient.
Since our vertex is at (1, 0), <em>h</em> = 1 and <em>k</em> = 0:
It passes through the point (2, -17). Hence, when <em>x</em> = 2, <em>y</em> = -17:
Solve for <em>a: </em>
<em />
<em />
<em />
In conclusion, our quadratic function in vertex form is:
The solution to the system of equation is (2, 7)
<h3>System of equation</h3>
Given the system of equation expressed as:
3x – y = -1 * 2
x – 2y = -12 * 1
________________
6x – 2y = -2
x – 2y = -12
Subtract to have;
6x-x = -2-(-12)
5x = 10
x = 2
Substitute x = 2 into 2 to have:
2 - 2y = -12
-2y = -14
y = 7
Hence the solution to the system of equation is (2, 7)
Learn more on system of equation here: brainly.com/question/25976025
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