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dalvyx [7]
3 years ago
14

Which of the following represents the zeros of the function

Mathematics
1 answer:
umka21 [38]3 years ago
3 0
<span>g(x) = x^3 - 9x^2 + 2x + 48 ?

Probe some roots. When you use x = - 2

you will have: (-2)^3 - 9(-2)^2 + 2(-2) + 48 = -8 - 36 - 4 + 48 = 0

So, - 2 is a root

From that you can divide x^3 - 9x^2 + 2x + 48 by x + 2 and you will get

x^2 - 11x + 24

Then you can factor that: (x - 8)(x - 3)

So, the three roots are x = - 2, x = 3 and x = 8, which is the option B.

Answer: option B. x = 8, x = -2 , and x = 3
 </span>
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A Broadway musical came to town. The auditorium filled all 1,000 seats at two-level pricing. Level 1 tickets are $75 each, and l
aivan3 [116]

Answer:

x represents the number of level 1 tickets; y represents the number of level 2 tickets

Step-by-step explanation:

The first equation (x + y = 1,000 ) shows that x + y equal to the number of seats in the auditorium. That means that they represent the number of tickets. In the second equation (75x + 100y = 25,000) x and y are being multiplied by the cost of their level ticket. So x represents the number of level 1 tickets; y represents the number of level 2 tickets.

hope this helps!

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2 years ago
Determine the slope of each line segment of quadrilateral F(-3,8), G(2,-1), J(-7,6), H(-2,-3)
Sauron [17]

Answer:

kesgiugeegf eoefohfhef

Step-by-step explanation:

egewguiefgwui eiehoge

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2 years ago
Which subtraction expression does the number line model show?
FrozenT [24]
Can you show us the number line model?
7 0
2 years ago
The diameter of a circle is 7 m. Find the circumference to the nearest tenth
Molodets [167]

Answer:

22 m

Step-by-step explanation:

Diameter d = 7 m

Circumference of the circle C =?

C = \pi d =  3.14 \times 7 \\  \\  C= 21.98 \: m\\  \\  C \approx 22.0 \: m

3 0
3 years ago
Using the side of a building as one side and fencing for the other three sides, a rectangular garden will be constructed. Given
scZoUnD [109]

Answer:

The dimensions that would create the garden of maximum area are 30 feet and 15 feet

The maximum area is 450 feet²

Step-by-step explanation:

The garden is fencing for three sides only, That means the length of the fencing is equal to the sum of the length of the three sides

Assume that garden is y feet long and x feet wide and the fencing will cover on side of y feet and two sides of x feet

∵ The sum of the length of the 3 sides = y + x + x

∴ The sum of the length of the 3 sides = y + 2x

- The length of the fencing is equal to the sum of the sides

∵ The fencing is 60 feet

- Equate y + 2x by 60

∴ y + 2x = 60

- Find y in terms of x by subtracting 2x from both sides

∴ y = 60 - 2x

<em>To find the dimensions which make the maximum area, find the area of the garden, then substitute y by x, and differentiate it with respect to x, then equate the differentiation by 0 to find the value of x, and substitute this value in the equation of y to find y and in the equation of the area to find the maximum area</em>

∵ The formula of the area of a rectangle is A = l × w

∵ l = y and w = x

∴ A = x y

- Substitute the value of y above in A

∵ A = x(60 - 2x)

- Multiply bracket by x

∴ A = 60x - 2x²

Now differentiate x with respect to x

∵ A' = 60(1) - 2(2)x

∴ A' = 60 - 4x

- Equate A' by 0 to find x

∴ 0 = 60 - 4x

- Add 4x to both sides

∴ 4x = 60

- Divide both sides by 4

∴ x = 15

- Substitute the value of x in the equation of y to find it

∵ y = 60 - 2(15)

∴ y = 30

The dimensions that would create the garden of maximum area are 30 feet and 15 feet

To find the maximum area substitute x by 15 in the equation of the area

∵ A = 60(15) - 2(15)²

∴ A = 900 - 450

∴ A = 450

The maximum area is 450 feet²

5 0
3 years ago
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