Answer:
k = 9/8
y = 9/8x
Step-by-step explanation:
45/40 = 9/8
To check:
40 * 9/8 = 45
Hope this helps!
Answer:
Step-by-step explanation:
complete the square:
Take a quadratic equation : ax²+bx+c and turn it to
a(x+d)²+e
d=b/2a and e=c-b²/4a
y=x^2 - 14x + 48
a=1 , b=-14 , c=48
d=-14/2=-7
e= 48-14²/4
e= 48-49
e=-1
complete the square for y=x²-14x+48
y= (x-7)²-1
Answer:
If she wants at least one comedy, there are 1484 different combinations.
Step-by-step explanation:
The order in which she wants to pick the movies is not important. So, we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this question:
She wants combinations of 3 movies, with at least one comedy. The easiest way to find this is finding the total number of combinations of 3 movies, from the set of 25(18 children's and 7 comedies), and subtract by the total number without comedies(which is 3 from a set of 25). So
Total:
3 from a set of 25.
Without comedies:
3 from a set of 18.
At least one comedy:
If she wants at least one comedy, there are 1484 different combinations.
The solution to given system of equations are (x, y) = (4, 2)
<em><u>Solution:</u></em>
<em><u>Given system of equations are:</u></em>
2x + 3y = 14 ---------- eqn 1
3x - 4y = 4 --------- eqn 2
We have to solve the given system of equations
We can solve the above system of equations by elimination method
<em><u>Multiply eqn 1 by 3</u></em>
3(2x + 3y = 14)
6x + 9y = 42 --------- eqn 3
<em><u>Multiply eqn 2 by 2</u></em>
2(3x - 4y = 4)
6x - 8y = 8 ----------- eqn 4
<em><u>Subtract eqn 4 from eqn 3</u></em>
6x + 9y = 42
6x - 8y = 8
( - ) --------------
9y + 8y = 42 - 8
17y = 34
<h3>y = 2</h3>
<em><u>Substitute y = 2 in eqn 1</u></em>
2x + 3(2) = 14
2x + 6 = 14
2x = 14 - 6
2x = 8
<h3>x = 4</h3>
Thus the solution to given system of equations are (x, y) = (4, 2)
