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2 years ago

Shade the cenn diagram to represent the set

Mathematics

1 answer:

Elena-2011 [213]2 years ago

5 0

Look at the pictures.

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

12345 [234]

Answer:

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>.

4 0

2 years ago

Given that f(x) =

Alex73 [517]

Answer:

Answer is b or 10.

Step-by-step explanation:

The reason for this is that you will just plug in all the answers in x and the answer has to match 15.

So...

2(10) - 5 = 15

15 = 15

This is true so the answer is 10.

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6 0

2 years ago

Read 2 more answers

Write this number in scientific notation 0.000000358

Fittoniya [83]

Step-by-step explanation:

0.000000358 written as scientific notation is

$3.58 \times {10}^{ - 7}$

8 0

3 years ago

If a Tv screen is 20in wide and 15in high, what is the length?

yuradex [85]

20:15 which reduces to 4:3 or 4/3 or 4 to 3 , hope that helped have a good day

5 0

3 years ago

A new house was purchased for $304 000. after 3 years, it's market value had increase by 28%. What is the new market value if th

loris [4]

Answer:

389,120

Step-by-step explanation:

8 0

3 years ago