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3 years ago

What is the remainder when the polynomial 8x^2 +4-3 is divided by 2x-1

Mathematics

1 answer:

Radda [10]3 years ago

3 0

To find the remainder, we can use the remainder theorem.

To do this, first we need to set 2x - 1 equal to 0.

2x - 1 = 0

Solve for x.

2x = 1

x = 1/2

Now that we have this value, we can solve for the remainder of this polynomial by replacing each x value with 1/2.

8(1/2)^2 + 4(1/2) - 3 = 1

<h3><u>The remainder is 1.</u></h3>

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The product of my number and twice my number is 128. What is half my number? How you solved the problem

vivado [14]

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3 years ago

Phil can paint the garage in 12 hours and Rick can o it in 10 hours. If they work together for 3 hours and then Phil leaves, how

daser333 [38]

Answer:

It will take 4.5 hours for rick to complete the job.

Step-by-step explanation:

Given:

Time taken by Phil to paint the garage = 12 hours.

It means that for each hour he does = $\frac{1}{12}$ of the job.

Time taken by Rick to paint the garage = 10 hours.

It means that for each hour he does = $\frac{1}{10}$ of the job

If they work together for 3 hours,

Phil does job in 3 hrs = $3\times\frac{1}{12} = \frac{1}{4}=0.25$

Rick does job in 3 hrs = $3\times\frac{1}{10} = \frac{3}{10}=0.3$

So in three hours of working together job done = $0.3+0.25 = 0.55$

This means job of the painting entire garage have been done 0.55 of it.

1 - 0.55 = 0.45.

So there is 0.45 job left

At this point Phil quits and Rick presses on by himself. Since he does 1/10 of the garage every hour

Let T represents the time that Rick needs to complete the job after Phil leaves.

Hence, $\frac{1}{10}\times T= 0.45\\\\T = 0.45 \times 10\\T =4.5 hrs$

Hence it will take rick 4.5 hours to complete the remaining job.

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3 years ago

in a group of people for every 20 people 7 of them have blue eyes a) write the ratio of the number of people with blue eyes to t

bazaltina [42]

Answer:

a) 7 : 20

b)There will be 35 people with blue eye

Step-by-step explanation:

This question is asking you the ratio of the number of people with blue eyes to the total number of people.

So seven people with blue eyes to the total number of 20 people.

7 : 20

you got the ratio 7 : 20, this also means that there will be 7 people with blue eyes in every 20 people.

so you use 100 divides by 20, you will get the number five, this means there are 5 groups of 20 in 100 people.

so then you use 5 times 7, then you got the number 35.

That means, there are 35 people with blue eyes in 100 people.

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