Answer:
The slope is -17 and the y-intercept is 2.
Step-by-step explanation:
The first function is represented by the green line, while the second is represented by the orange line
<h3>What are piecewise functions?</h3>
Piecewise functions are functions that have at least 2 sub functions, each of which have different intervals
The function is defined by

<h3>(a) Graph the first function</h3>
The first function in f(x) is defined by

See attachment for the graph of the first function
<h3>(b) Graph the second function</h3>
The second function in f(x) is defined by

See attachment for the graph of the second function
Read more about piecewise functions at:
brainly.com/question/18859540
Answer:
1st blank: 160(2) - 16(2)²
2nd blank: 256
3rd blank: 5
4th blank: 400
5th blank: 10
Step-by-step explanation:
h(x) = -16x² + 160x
To find h(2) just replace x = 2 into the equation
h(2) = 160(2) - 16(2)² = 256 in
The maximum height coincides with the vertex of the parabola.
x-coordinate of the vertex: -b/(2a) = -160/[2*(-16)] = 5
y-coordinate of the vertex: -16(5)² + 160(5) = 400
To hit the ground means h(x) = 0
-16x² + 160x = 0
16x(-x + 10) = 0
x = 0
or
-x + 10 = 0
x = 10
Answer:
1 hot dog costs $3.50
Step-by-step explanation:
Represent Hot dog with x and Hamburger with y
Gregory's purchase:
--- (1)
Hart's purchase:
---- (2)
Required
Find x
To do this, we'll make use of the elimination method of solving simultaneous equation.
Start by multiplying (1) by 2
2 * (
)
This gives:
---- (3)
Subtract (2) from (3)

- (
)
-------------------------

Solve for x


Hence:
1 hot dog costs $3.50