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3 years ago

Find a polynomial function of degree 3 with -2, 3, 5 as zeros

1 answer:

8 0

So theyre trying to scare you in this question by giving you the zeros to an already existing function. Basically if x = 1, than the reverse function of this is (x-1)
using that, we can say that the zero or "root" "-2" is equal to (x+2)same with 3, we can say (x-3)= x = 3 and with five, (x-5)= x = 5
so, we have those functions, we can multiply them to eachother to work backwards.(x+2)(x-3)(x-5) =(x^2-x-9)(x-5) =x^3 - 6x^2 - 4x + 45
please ask if you have questions

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A car travels m miles per hour. Which variable expression represents the number of miles traveled in 8 hours?

insens350 [35]

Answer:A Idk if this is right!

6 0

3 years ago

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N76 [4]

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8 0

3 years ago

Read 2 more answers

In 4 minutes, a conveyor belt moves 800 pounds of recyclable aluminum from the delivery truck to a storage area. A smaller belt

kkurt [141]

Answer:

It takes 2 minutes 4 seconds to move the cans to storage area if both the belts are used.

Step-by-step explanation:

Given - In 4 minutes, a conveyor belt moves 800 pounds of recyclable

aluminum from the delivery truck to a storage area. A smaller belt

moves the same quantity of cans the same distance in 6 minutes.

To find - If both belts are used, find how long it takes to move the cans

to the storage area.

Proof -

Given that,

Larger belt take 4 minutes to transfer the aluminium from delivery truck to storage area.

⇒ Time taken by Larger belt = 4 min/ shifting

Also,

Smaller belt take 6 minutes to transfer the aluminium from delivery truck to storage area.

⇒ Time taken by Smaller belt = 6 min/ shifting

Now,

As we know that Time is inversely proportional to time, so

Rate of Larger Belt = $\frac{1}{4}$ shifting/min

Rate of Smaller Belt = $\frac{1}{6}$ shifting/min

Now,

Let us assume that , if both belts used then,

Total time taken = x min/shifting

Then, Rate = $\frac{1}{x}$ shifting/min

Now,

$\frac{1}{4}$ + $\frac{1}{6}$ = $\frac{1}{x}$

⇒ $\frac{6 + 4}{24} = \frac{1}{x}$

⇒ $\frac{10}{24} = \frac{1}{x}$

⇒10x = 24

⇒x = $\frac{24}{10}$ = 2.4 minutes

∴ we get

It takes 2 minutes 4 seconds to move the cans to storage area if both the belts are used.

3 0

3 years ago

A rectangle has a width of 59 centimeters and a perimeter of 238 centimeters. What is the rectangle's length?

Mademuasel [1]

Answer:

60 cm

Step-by-step explanation:

2x the width and 2x the length gives you the perimeter. This can be represented by the equation:

2w + 2L = P

Use the information given in the word problem to fill in the variables.

2(59) + 2L = 238

118 + 2L = 238

move 118 to the other side of the equation.

2L = 238 - 118

2L = 120

move 2 to the other side of the equation.

L = $\frac{120}{2}$

L = 60

5 0

3 years ago

Nola was selling tickets at the high school dance. At the end of the evening she picked up the cash box and noticed a dollar lyi

Blizzard [7]

Answer:

The $1 belongs to the cash box

Step-by-step explanation:

Given

See attachment for complete question

Required

Determine if the $1 belongs to the cash box or not

Represent singles with s and couples with c.

From the attachment, we have:

$s + c = 47$ --- total attendance

$5s + 4c =200$ --- ticket sold

Solve for s and c.

Make s the subject in (1)

$s = 47-c$

Substitute 47 - c for s in (2)

$5(47 - c) + 4c = 200$

Open bracket

$235 - 5c + 4c = 200$

$235 - c = 200$

$c = 235 - 200$

$c = 35$

This means that the total individual which makes up the couples are 35. This is not possible because couples are in 2's and the total should be an even number.

<em>So, we can conclude that the $1 belongs to the cash box</em>

4 0

3 years ago