Total people x,
then, 3.5x + 5.5x + 6 = 51
simplify, 9x +6 = 51
subtract 6 on both sides, 9x= 45
divide by 9 on both sides, x= 5
therefore, total 5 people in the family.
Answer:
Domain: {-2, -3, 6, 8, 10}
Range: {-5, 1, 7, 9}
Step-by-step explanation:
Given:
{(6, -5), (-2, 9), (-3, 1), (10, 7), (8, 9)}
✔️Domain:
This includes all the set of the x-values that are in the relation. This includes, 6, -2, -3, 10, and 8.
Thus, the domain can be represented as:
{-2, -3, 6, 8, 10}
✔️Range:
This includes all corresponding y-values in the relation. They are, -5, 1, 7, and 9.
Range can be represented as:
{-5, 1, 7, 9}
Answer:
5.
Step-by-step explanation:
Use a proportion.
Answer:
<u>(1, 18)</u>
Step-by-step explanation:
Rewrite the equation in vertex form by completing the square for -3x^2 + 6x + 15. This = -3(x - 1)^2 + 18.
Set y equal to the new right side.
y = -3(x - 1)
Use the vertex form, y = a(x - h)^2 + k, to determine the values of a, h, and k.
a = -3
h = 1
k = 18
Vertex = (h, k) / (1, 18)
Answer:
Please see the attached pictures for full solution.
