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1 year ago

Determine the slope and the y-intercept of the line.

Mathematics

1 answer:

MariettaO [177]1 year ago

4 0

Answer:

Slope = 0, y int = (0,4)

If there is no x variable, slope is 0. y = 4 so no matter what x is (which it will always be 0) the y intercept will always be 4

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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

3 years ago

There are 128 students going on a field trip to pan for gold. If they are going in vans that hold 7 students each, how many vans

Viefleur [7K]

128/7 is roughly 18.3 so you would need 19 vans. 18 of them would fit all 7 so you’d have 126 so the last van would fit 2 students meaning it won’t be full

6 0

3 years ago

PLEASE HELP ME!!! WILL MARK AS BRAINLIEST!!!!!!!

frez [133]

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8 0

4 years ago

Which point represents the quotient of StartFraction 3 minus I Over I EndFraction ?

Vlad1618 [11]

Answer:

The answer is point C

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Cole spent a total of 523.46 on holiday gifts for his friends and family. If he bought gifts for eleven people,about how much di

Vlada [557]

Answer:

Cole spend 47.587 on buying gifts for each person.

Step-by-step explanation:

Given:

Total money spend on gifts = 523.46

Number of people gifts were bought for = 11

We need to find how much he spend on each person.

Solution:

To find how much he spend on each person we will divide total money spend on gifts with number of people gifts were bought for.

framing in equation form we get;

Spending on each person = $\frac{523.46}{11} = 47.587$

Hence Cole spend 47.587 on buying gifts for each person.

6 0

4 years ago