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jeka57 [31]
3 years ago
6

Which of the following graphs could be the graph of the function f(x) = x4 + x3 – x2 – x?

Mathematics
2 answers:
Inga [223]3 years ago
6 0
The answer to your question is
f(x) =x(x+1)^2 (x-1)
gtnhenbr [62]3 years ago
6 0

Answer:

it's the first graph

Step-by-step explanation:

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Stadium has 48,000 seats seats sell for $30 in section 8 $24 in section B and $18 in section C the number of seats in section a
Naddika [18.5K]

Answer:there are  24,000 sears in section A,  14,600 in section B  and  19,400 in section C.

Step-by-step explanation:

Step 1

let  the number of seats in section B = x

and the number of seats in section C.=y

Given that the  number of seats in section A is the sum of seats in sections B and C, we can then say A =x + y

From the given question,  We have that

seatsA + seatsB + seatsC = 48,000 which also equals

(x+y)  + x      + y      = 48,000

2x + 2y = $48,000

2(x+y) = 48,000

x + y = 48,000/2 =24,000  which also equals

B+C =24,000

Now the number of seats in section A =24,000 and the sum of seats in sections B and C is 24000.

We now have

B+C = 24,000------ eqn  (1)

Also

  since we already have the number of seats for Section A, We will find Section  B and C  

A +B+C =1,239,600,

$30 x 24,000 + 24B + 18C= 1,239,600

720,000 + 24B + 18C= 1,239,600

 24B + 18C= 1,239,600-720,000

24B + 18C= 519,600--------- eqn 2

Step 2 We will now solve with the following equations

B+C = 24,000------ eqn  (1)

24B + 18C= 519,600--------- eqn 2

Multiply eq(1) by 24 (both sides). Then subtract eq(2) from it:

24B + 24C = 576,000-------eqn    (3)

24B+ 18C =   519,600-- ---eqn(4)

6C = 576,000- 519,600

6C=56,400

C= 9,400

TO get B.

B+C = 24,000

B= 24,000 - 9,400

B=14,600

Therefore, there are 24,000 sears in section A,  14,600 in section B  and  19,400 in section C.

4 0
3 years ago
A football is kicked toward an end zone with an initial vertical velocity of 30 ft/s. The function h(t) = -16+ 30t models the he
Ulleksa [173]

Answer:

A. The football does not reach a height of 15ft

Step-by-step explanation:

Given

h(t) = -16t^2 + 30t

Required

Determine which of the options is true

The option illustrates the height reached by the ball.

To solve this, we make use of maximum of a function

For a function f(x)

Such that:

f(x) = ax^2 + bx + c:

f(\frac{-b}{2a}) = maximum/minimum

i.e we first solve for \frac{-b}{2a}

Then substitute \frac{-b}{2a} for x in f(x) = ax^2 + bx + c

In our case:

First we need to solve \frac{-b}{2a}

Then substitute \frac{-b}{2a} for t in h(t) = -16t^2 + 30t

By comparison:

b = 30

c = -16

\frac{-b}{2a} = \frac{-30}{2 * -16}

\frac{-b}{2a} = \frac{-30}{-32}

\frac{-b}{2a} = \frac{30}{32}

\frac{-b}{2a} = \frac{15}{16}

Substitute \frac{15}{16} for t in h(t) = -16t^2 + 30t

h(\frac{15}{16}) = -16(\frac{15}{16})^2 + 30(\frac{15}{16})

h(\frac{15}{16}) = -16(\frac{225}{256}) + \frac{450}{16}

h(\frac{15}{16}) = -(\frac{225}{16}) + \frac{450}{16}

h(\frac{15}{16}) = \frac{-225 + 450}{16}

h(\frac{15}{16}) = \frac{225}{16}

h(\frac{15}{16}) = 14.0625

This implies that the maximum height reached is 14.0625ft.

So, the option that answers the question is A because 14.0625 < 15

8 0
2 years ago
Can someone help me plz​
wel

Answer: The correct answer is Choice C.

Step-by-step explanation: The drama club raised 150% of their goal, which is represented by choice c.

The proper way to calculate this percentage is to calculate how much they earned over the goal. They earned $150 over a goal of $300, so you divide 150 by 300 to determine the percentage.

150/300 = .5, or 50%

So, they earned 100% (300) plus 50% (150), for a total of 150% of the goal.

7 0
3 years ago
Find a polynomial f(x) of degree 3 that has the following zeros.<br> 0, 4, -2
lesya [120]

x(x - 4)(x + 2)
5 0
3 years ago
Read 2 more answers
Sean has $75 to spend on CDs. If each CD costs $6.98, about how many CDs can he buy?
Daniel [21]
75/6.98=10.744
We would most likely round this down to 10 even though the .7 because if we round up we would go over the budget.
So he can buy about 10 CDs
7 0
3 years ago
Read 2 more answers
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