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grandymaker [24]
3 years ago
14

a company manufactures bikes, x, and scooters, y. The manager graphed the feasible region and fourth the coordinates (0/0), (0,2

0), (72,0), and (14, 25). The profit on scooters is $55 and the profit on bikes is $50. What is the company's maximum possible profit?
Mathematics
1 answer:
Rama09 [41]3 years ago
6 0
FaZe
SoaR
Obey
Saw
Red
L7
xJMx
Synergy
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PLEASE ANSWER! Given the functions f(x) = x2 + 6x - 1, g(x) = -x2 + 2, and h(x) = 2x2 - 4x + 3, rank them from least to greatest
Ratling [72]

Answer:

<em>he rank from least to great based on their axis of symmetry: </em>

0, 1, -3 ⇒ g(x), h(x), f(x)

So, <em>option C</em> is correct.

Step-by-step explanation:

A quadratic equation is given by:

ax^2+bx+c =0

Here, a, b and c are termed as coefficients and x being the variable.

<em>Axis of symmetry can be obtained using the formula</em>

x = \frac{-b}{2a}

Identification of a, b and c in f(x), g(x) and h(x) can be obtained as follows:

f(x) = x^2 + 6x - 1

⇒ a = 1, b = 6 and c = -1

g(x) = -x^2 + 2

⇒ a = -1, b = 0 and c = 2

h(x) = 2^2 - 4x + 3

⇒ a = 2, b = -4 and c = 3

So, axis of symmetry in f(x) = x^2 + 6x - 1 will be:

x = \frac{-b}{2a}

x = -6/2(1) = -3

and axis of symmetry in g(x) = -x^2 + 2 will be:

x = \frac{-b}{2a}

x = -(0)/2(-1) = 0

and axis of symmetry in h(x) = 2^2 - 4x + 3 will be:

x = \frac{-b}{2a}

x = -(-4)/2(2) = 1

<em>So, the rank from least to great based on their axis of symmetry: </em>

0, 1, -3 ⇒ g(x), h(x), f(x)

So, <em>option C</em> is correct.

<em>Keywords: axis of symmetry, functions</em>

<em>Learn more about axis of symmetry from brainly.com/question/11800108</em>

<em>#learnwithBrainly</em>

7 0
3 years ago
F(x)=x^3−2x+6
Nina [5.8K]

Answer:

d

Step-by-step explanation:

(f - g)(x) = f(x) - g(x)

f(x) - g(x)

= x³ - 2x + 6 - (2x³ + 3x² - 4x + 2) ← distribute parenthesis by - 1

= x³ - 2x + 6 - 2x³ - 3x² + 4x - 2 ← collect like terms

= - x³ - 3x² + 2x + 4 → d

6 0
3 years ago
Factor 10z + 45.<br> i need help!
disa [49]

Answer:

5(2z +9)

Step-by-step explanation:

factor out 5 of 10z +45

3 0
2 years ago
In quadrilateral ABCD, angle BAD and angle CDA are trisected as shown. What is the degree measure of angle AFD?
djverab [1.8K]
Answer: AFD = 80

Explanation:

110 + 100 + 3x + 3y = 360
210 + 3x + 3y = 360
3x + 3y = 150
3(x + y) = 150
x + y = 50

Now look at polygon ABCDF (5 sided polygon)

100 + 110 + x + y + Angle F = 540
210 + 50 + angle F = 540
260 + angle F = 540
Angle F = 280

And:
angle F + AFD = 360 degree
280 + AFD = 360
AFD = 80
4 0
3 years ago
PLS ANSWER THIS PLS I HAVE 2 MINUTES LEFT PLS PLS PLS BRAINLIEST AND MUCH MORE WILL BE GIVEN GOD BLESS
ch4aika [34]

Answer:

Its the second option

Step-by-step explanation:

just trust me bro

8 0
2 years ago
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