Answer:
The vertex is (2,1)
Step-by-step explanation:
ƒ(x) = –x^2 + 4x – 3
Factor out the negative
= -(x^2 -4x+3)
Factor
What 2 numbers multiply to +3 and add to -4
-3*-1 = 3
-3+-1 = -4
f(x) = -( x-3)(x-1)
Find the zeros
0 = -( x-3)(x-1)
0 = x-3 0 = x-1
x=3 x=1
The x value of the vertex is 1/2 way between the two zeros
(3+1)/2 = 4/2 =2
To find the y value, substitute x=2 in
f(2) = -( 2-3)(2-1)
=-(-1)(1) = 1
The vertex is (2,1)
Answer:
1. D
2. B
Step-by-step explanation:
<u>Question 1:</u>
We can get Avon's earnings using the equation 
Where W is his earnings
HR is the regular hours (40 hours in this case)
V is overtime hours (hours over 40, 45.5 - 40 = 5.5 hours)
B is bonus (no bonus)
T is tips ( $100 tips, given)
and R is the rate (which is $5 per hour)
<em>Substituting the given info into the equation, we get:</em>
<em>
</em>
<em>So avon's earnings are $341.25</em>
<em>Answer choice D is right.</em>
<u>Question 2:</u>
The other employee needs to work 
hours @ $15 per hour to equate or surpass $428. So we can set up the equation shown below and solve for x:
Rounded to 1 decimal place, this is about 28.5 hours
Answer choice B is right.
The red one is (4.1) and the green one is (-2.4) because is positive to negative so the positive side is that you got and the negative part is you owe someone for example: -20 < 30 so if it says Emily goes to the store and the milk costs $30.99 and she only has $10.00 that means that she owes $30.00 so is -10 <30
The base of its triangular face of the triangular prism is found as 17.7 cm.
<h3>What is defined as the triangular prism?</h3>
- A polyhedron with two triangular bases as well as three rectangular sides is known as a triangular prism.
- It is a three-dimensional shape with three side faces but also two base faces that are connected by the edges.
The formula for the volume of triangular prism is;
Volume = base area x length
The base area of the triangular base.
The area of the triangle = 1/2 base×height
The given values are-
- volume = 2,354. 1 cubic centimeters.
- length = 19 cm
- height = 14 cm.
Thus, volume = base area x length
volume = 1/2 base × height × length
base = 2v/(height × length)
Put the values;
base = 2×2,354.1/(14 × 19)
base = 4708.2/(14 × 19)
base = 17.7 cm
Thus, the base of the triangular prism is found as 17.7 cm.
To know more about the triangular prism, here
brainly.com/question/16128664
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