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pshichka [43]
3 years ago
10

Can u help me ASAP. i need to know how to do it step by step​

Mathematics
1 answer:
12345 [234]3 years ago
4 0

Answer:

<em>19</em>

Step-by-step explanation:

f(x) =4x^3-8x^2+ax+b has a factor 2x-1 and

when divided by x+2, remainder is 20.

To find:Remainder when divided by (x-1)  ?

Solution:

2x-1 is a factor

2x - 1 = 0 \Rightarrow x = \frac{1}{2} when we put this value of x to the function, it will become 0.

i.e.

\Rightarrow f(\dfrac{1}{2}) =0 =4\times (\dfrac{1}2)^3-8(\dfrac{1}2)^2+\dfrac{a}{2}+b=0\\\Rightarrow \dfrac{1}{2}-2+\dfrac{a}{2}+b=0\\\Rightarrow 1-4+a+2b=0\\\Rightarrow a +2b=3 ......(1)

Remainder is 20 when f(x) is divided by x+2

i.e.

f(-2) =20

\Rightarrow f(-2) =20 =4\times (-2)^3-8(-2)^2-2a+b=20\\\Rightarrow -32-32-2a+b=20\\\Rightarrow -2a+b=84 ...... (2)

Solving (1) and (2), Multiply equation (1) by 2 and adding to (2):

5b=6+84\\\Rightarrow b = \dfrac{90}{5} = \bold{18}

By equation (1):

a+2(18) = 3\\\Rightarrow a = -33

So, the equation becomes:

f(x) =4x^3-8x^2-33x+18

\Rightarrow f(1) = 4(1) -8 (1) -33(1) +18 = \bold{19}

So, when divided by (x-1), remainder will be <em>19</em>.

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PLEASE ANSWER ASAP I WILL MARK BRAINLIEST WHEN ANSWERING PLZ PUT ANSWER IN ORDER PLS THANK YOU :)
Sergeu [11.5K]

Answer:

Dana has 20 French fries.

They can purchase 5 bottles.

Step-by-step explanation:

1.

Let x rep. the amount of French fries Johnathan has.

Let 2x rep. the amount of French fries Abdullah has.

Let 10x rep. the amount of french fries Dana has.

If :

x+2x+10x=26

13x=26

x=2

So Johnny boy has 2 french fries which means Dana has 10 times as much as that.

10(x)=10(2)

10x=20

Therefore Dana has 20 French fries.

2.

Well

5.12+2.77+4=$11.89

11.89/1.99= APPROX. 5.9

Note you can't buy a fraction of a bottle. We gotta round down for this question cause you can't just give less amount of cash to get an extra bottle even if it's very close. Unless your teacher said to round something.

Therefore they can only purchase 5 bottles.

4 0
2 years ago
A doctor told his patient to drink 3 full cups and 1/2 of a cup of medicine over a week.
Nadya [2.5K]

Answer:

<u>The patient is going to drink 14 pints of medicine over a week</u>

Step-by-step explanation:

1. Let's review all the information provided to answer the question correctly:

Amount of medicine the doctor told his patient to drink over a week = 3 1/2 cups

1 full cup = 4 pints

2. How much is the patient going to drink over the week?

For answering this question, we multiply this way:

3 1/2 = 3.5

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<u>The patient is going to drink 14 pints of medicine over a week</u>

8 0
3 years ago
You have $5600. The best interest rate you can find is 3%
EleoNora [17]

Answer:

18 years

Step-by-step explanation:

The formula for computing accrued amount A for a principal of P at an interest rate of r(in decimal) compounded n times in a year for t years is given by

A = P(1 + \frac{r}{n})^{nt}

Note that r is percentage converted to decimal. So 3% = 3/100 = 0.03

We can rearrange the above equation to:

\frac{A}{P} = (1 + \frac{r}{n})^{nt}

Taking logs on both sides

log(\frac{A}{P}) = log(1 + \frac{r}{n})^{nt}

This gives

log(\frac{A}{P}) =nt \times log(1 + \frac{r}{n})\\So,\\nt = \frac{log(\frac{A}{P})}{ log(1 + \frac{r}{n})}

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4 0
2 years ago
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liberstina [14]

Answer:

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3 0
2 years ago
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777dan777 [17]
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If you were to graph these two lines, you ould see that the point of intersection is at (2,4) like we solved for.
3 0
3 years ago
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