Answer:
Step-by-step explanation:
The equation of a quadratic function in vertex form is given by:
Where (h,k) is the vertex.
It was given in the question that the vertex of the parabola is (-1,4).
When we substitute the vertex into the formula we get:
The parabola also passes through (4,19) hence it must satisfy its equation.
We divide both sides by 25 to get:
Hence the quadratic function is:
Answer:
<em>x</em>=28, <em>y</em>=12
Step-by-step explanation:
The squiggly symbol? This means the shapes/angles are congruent, meaning that if you rotated them around, they would match.
x's match runs along the same line as it's match, and same goes for y's. Imagine rotating around the lower triangle and lining it up with the upper triangle.
A' (1,4)
B' (5,8)
C' (5,4)
D' (4,2)
G(x) = (x+4)^4 is the answer. It's D. last choice
G(x) = (x+4)^4 shifted F(x) = x^4 4 units to the left
Answer:
First answer is 1200
Second answer is 900 for each new employee
Step-by-step explanation:
First answer:
2200+1300+800+940+560+x = 7000
5800+x = 7000 subtract 5800 from both sides and you get your answer
x = 1200
Second answer:
x = 900. Each of the two employees made 900 a month or 1800 a month for both of them.
To find the average we take the total salaries and divide by the number of people to find the average salary. In this case, we know the average and we know all of the salaries, but two. We can figure this out.
(7000 + 2x)/8 = 1100 multiple both sides by 8 to clear the fraction/
7000 +2x = 8800 Subtract both sides by 7000
2x = 1800 Divide both sides by 2
x = 900
