Answer:
x = 20
Step-by-step explanation:
we are given the value of f(x), replace it in the first equation
15 = x - 5
solve for x by adding 5 on both sides
15 + 5 = x
20 = x or x = 20
Answer:
True; True; False; True
Step-by-step explanation:
Let x represent a 2-point basket, and y represent a 3-point basket.
Basket equation: x + y = 16
Point equation 2x + 3y = 39
Solve using system of equations:
if x + y = 16, then x = 16 - y
Plug into the second equation:
2(16-y) + 3y = 39
32 - 2y + 3y = 39
32 + y = 39
y = 7
So the number of 3-point baskets scored was 7. Hope this helps, let me know if there’s a step you don’t understand! :)
Answer:
f(x) = 6x² - 24x + 21
Step-by-step explanation:
The equation of a quadratic function in vertex form is
f(x) = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (2, - 3 ) , then
f(x) = a(x - 2)² - 3
To find a substitute (1, 3 ) into the equation
3 = 1(1 - 2)² - 3
3 = a(- 1)² - 3
3 = a - 3 ( add 3 to both sides )
6 = a
f(x) = 6(x - 2)² - 3 ← in vertex form
= 6(x² - 4x + 4) - 3
= 6x² - 24x + 24 - 3
f(x) = 6x² - 24x + 21 ← in standard form
Answer:
{12,2}
Step-by-step explanation:
From the given graph it is clear that the initial point of the vector is (-5,0) and the terminal point (7,2).
If initial point of a vector is 
and terminal point is 
, then
Using this formula, we get
Using braces, we get
Therefore, the required vector is {12,2}.
