Y = -x² + 3x - 1
x = 2y - 1
x = 2(-x² + 3x - 1) - 1
x = 2(-x²) + 2(3x) + 2(-1) - 1
x = -2x² + 6x - 2 - 1
x = -2x² + 6x - 3
<u>- x - x </u>
0 = -2x² + 5x - 3
x = <u>-(5) +/- √((5)² - 4(-2)(-3))</u>
2(-2)
x = <u>-5 +/- √(25 - 24)</u>
-4
x = <u>-5 +/- √(1)
</u> -4
x = <u>-5 +/- 1</u>
-4
x = <u>-5 + 1</u> or x = <u>-5 - 1</u>
-4 -4
x = <u>-4</u> x = <u>-6</u>
-4 -4
x = 1 x = 1.5
2y - 1 = x
2y - 1 = 1
<u> + 1 + 1</u>
<u>2y</u> = <u>2</u>
2 2
y = 1
(x, y) = (1, 1)
or
2y - 1 = x
2y - 1 = 1.5
<u> + 1 + 1 </u>
<u>2y</u> = <u>2.5</u>
2 2
y = 1.25
(x, y) = (1.5, 1.25)
The two solutions is equal to (1, 1) and (1.5, 1.25).
<u />
Answer:
x=400 and y=800
Step-by-step explanation:
let x be the Quartez and y is Pacer
x+y≤1200 ( maximum production capacity of 1200 cars per week)
0≤x≤600
0≤y≤800
profit : 500x+800y
at a point : x=0 y=800
profit=500x+800y ⇒ 500(0)+800(800)=640000
profit= 500(600)+0=300000 wen x=600(max), y=0
Profit=500(600)+800(600)= 780000
profit =500(400)+800(800)=840000 this is the max profit when
x=400 and y=800
The statement is represented as 2(c- 5). Option D
<h3>
What are algebraic expressions?</h3>
Algebraic expressions are expressions consisting of variables, terms, factors, and constants.
They are also made up of mathematical operations such as addition, bracket, subtraction, division, multiplication, etc
From the information given, we have;
- total cost of 2 dance tickets
- price of c for each, less a one-time $5 discount
Expressed as;
2(c- 5)
Thus, the statement is represented as 2(c- 5). Option D
Learn more about algebraic expressions here:
brainly.com/question/4344214
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Answer:
2/3 metric tons per hour
Step-by-step explanation:
unit rate in metric tons per hour= metric ton/ time( hrs)
= 1/4 metric tons/1/6 hours
= 1/4 ×6/1
=4/6 metric tons per hour
= 2/3 metric tons per hour