Answer:
x = 29
y = 13
Step-by-step explanation:
Write 2 equations:
x + y = 42
x - y = 16
Isolate x in the first equation:
x = 42 - y
Substitute this in for x in the second equation:
42 - y - y = 16
42 - 2y = 16
solve for y:
-2y = -26
y = 13
Plug in 13 for y in either equation:
x + 13 = 42
Solve for x:
x = 29
Answer: There are 360360 ways to appoint the members of the cabinet.
Step-by-step explanation:
Since we have given that
Number of eligible candidates = 15
Number of spots available = 5
We need to find the number of different ways the members can be appointed where rank matters
For this we will use "Permutations":
So, the required number of different ways in choosing the members for appointment is given by
Hence, there are 360360 ways to appoint the members of the cabinet.
Answer:
14 and 14
Step-by-step explanation:
this is because it is a isosceles triangle and it has a specific rule.
Answer:
y = 2(x + 3)² - 4
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Using the method of completing the square
y = 2x² + 12x + 14 ← factor out 2 from the first 2 terms
= 2(x² + 6x) + 14
To complete the square
add/subtract ( half the coefficient of the x- term)² to x² + 6x
y = 2(x² + 2(3)x + 9 - 9 ) + 14
= 2(x + 3)² - 18 + 14
= 2(x + 3)² - 4 ← in vertex form
