Answer:
(0, -1)
Step-by-step explanation:
that is where the line intercepts on the vertical axis
Since there is no decimal point, the answer is 345276.
For q5: x=-5/4, y=-15/8
q6: x=-23/5, y=4/5
q7: x=-4/5 y=0
q8: x=6, y=4
1. A system of equations to determine the cost of a bottle of juice, is <u>12x + 2.70 = 15.78</u>.
2. From the equation, x = $1.09.
<h3>What is an equation?</h3>
An equation is a mathematical statement that shows that two values are equal.
A system of equations uses numbers and variables.
<h3>Data and Calculations:</h3>
The cost price of a bag of chips = $2.70
The total cost of snacks = $15.78
The total cost of 12-pack of juice bottles = $13.08 ($15.78 - $2.70)
Therefore, a bottle of juice = $1.09 ($13.08/12)
<h3>Equations:</h3>
Let a bottle of juice = x
Total cost of snacks = $15.78
2.70 + 12x = 15.78
or 12x + 2.70 = 15.78
12x = 13.08
x = 1.09 (13.08/12)
Learn more about equations at brainly.com/question/2972832
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Answer:
f(x) = (x - 2)² + 2
Step-by-step explanation:
The vertex form of the quadratic function is:
f(x) = a(x - h)² + k
where:
(h, k) = vertex
The axis of symmetry is the imaginary vertical line where x = h
<em>a</em> = determines whether the graph opens up or down, and how wide or narrow the graph will be.
<em>h</em> = determines the horizontal translation of the parabola.
<em>k</em> = determines the vertical translation of the graph.
Given the vertex occurring at point (2, 2), along with one of the points on the graph, (4, 6):
Substitute these values into the vertex form of the quadratic function:
f(x) = a(x - h)² + k
6 = a(4 - 2)² + 2
6 = a(2)² + 2
6 = 4a + 2
Subtract 2 from both sides:
6 - 2 = 4a + 2 - 2
4 = 4a
Divide both sides by 4:
4/4 = 4a/4
1 = a
Therefore, the quadratic function in vertex form is: f(x) = (x - 2)² + 2
