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3 years ago

How would you write 1 - x^4 before you divide it by x - 1?

1 answer:

8 0

Order your terms by the powers of exponents in decreasing order (as is the case with pure number division hundreds, tens, ones, tenths, etc, etc) as x^n, x^n-1 etc...

(-x^4+1)/(x-1)
-x^3 rem -x^3-1
-x^2 rem -x^2-1
-x rem -x-1
-1 rem 0

(x-1)(-x^3-x^2-x-1)

(x-1)(-x^3-x-x^2-1)

(x-1)(-x(x^2+1)-1(x^2+1))

(x-1)(-x-1)(x^2+1)

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Can someone help? Thanks :D

Rufina [12.5K]

Answer:

$y\leq -x+4$

Step-by-step explanation:

The first thing that we can do is look at the equation of the line and then worry about the inequality afterwards.

This line has a y-intercept of 4 and a slope of -1.

This means that the equation of this line would be $y=-x+4$

Now that we have the equation of the line, we just need to determine which inequality sign to use.

As the shaded region is BELOW the line, we will use a less than (<) sign.

As the line is fully shaded, I can only assume that it is meant to include the line, which would mean that $y\leq -x+4$ would be the equation for this inequality.

3 0

3 years ago

8.804 divided by 0.903 (include remainder) plz

nignag [31]

the answer is 9.74972315 I hope you have the right answer I hope this is helpful

7 0

3 years ago

At a self-service gas station, 40% of customers pump regular gas, 35% pump midgrade, and 25% pump premium gas. Of those who pump

Aleks04 [339]

Answer:

0.150,0.595

Step-by-step explanation:

Given that at a self-service gas station, 40% of customers pump regular gas, 35% pump midgrade, and 25% pump premium gas. Of those who pump regular, 30% pay at least $30. Of those who pump midgrade, 50% pay at least $30. And of those who pump premium, 60% pay at least $30.

Regular gas Midgrade Premium gas Total

Percent 40 35 25 100

atleast 30 30% 50% 60%

a) The probability that the next customer pumps premium gas and pays at least $30

= $0.25*0.60\\=0.150$

b) the probability that the next customer pays at least $30

= P(regular and pays atleast 30%)+P(premium and pays atleast 30%)+P(midgrade and pays atleast 30%)

= $0.40*0.30+0.35*0.50+0.25*0.60\\=0.12+0.175+0.30\\=0.595$

6 0

3 years ago

Based on the graph, which statement is correct about the solution to the system of equations for lines K and J?

Whitepunk [10]

Your answer is A) (1,1) is the solution to both lines K and J

That's because the solution to a system of equations has to be the solution to both of the lines. Also, both of the lines intersect at the point (1,1).

7 0

3 years ago

Read 2 more answers

A sweet factory produces 5 different chocolate bars. the different flavors are always produced in the same proportions, for ever

IRISSAK [1]

a. There are 933 chocolate bars

b. There are 1200 chocolate bars

c. There are 1580 chocolate bars

<h3>How to calculate the number of chocolate bars</h3>

Since there are 5 different flavors,

let

x = orange flavored bars,
y = coconut flavored bars,
z = coffee flavored bars,
a = strawberry flavored bars and
b = honeycomb flavored bars and
X = total number of bars

Since the different flavors are always produced in the same proportions, for every 4 coconut flavored bars 5 honeycomb 6 orange 1 coffee and 4 strawberry

So, the ratio of their proportions are x:y:z:a:b = 6:4:2:1:5

So, the total ratio is T = 6 + 4 + 1 + 4 + 5 = 20

<h3>a. What is the total number of chocolate bars if there are 280 orange flavored bars?</h3>

Since we have 6 orange flavored bars, the ratio of orange flavored bars to total is 6/20

So, the amount of orange flavored bars is x = 6/20 × X

Making X subject of the formula, we have

X = 20x/6

So, if there are 280 orange bars, there will be

X = 20x/6

X = 20 × 280/6

X = 5600/6

X = 933.33

X ≅ 933 chocolate bars

So, there are 933 chocolate bars

<h3>b. What is the total number of chocolate bars if there are 960 coconut flavored bars?</h3>

Since we have 4 coconut flavored bars, the ratio of coconut flavored bars to total is 4/20

So, the amount of coconut flavored bars is y = 4/20 × X

Making X subject of the formula, we have

X = 20y/4

So, if there are 960 coconut flavored bars, there will be

X = 20y/6

X = 20 × 960/4

X = 5 × 240

X = 1200 chocolate bars

So, there are 1200 chocolate bars

<h3>c. What is the total number of chocolate bars if there are 79 coffee flavored bars?</h3>

Since we have 1 coffee flavored bars, the ratio of coffee flavored bars to total is 1/20

So, the amount of coconut flavored bars is z = 1/20 × X

Making X subject of the formula, we have

X = 20z

So, if there are 79 coffee flavored bars, there will be

X = 20z

X = 20 × 79

X = 1580 chocolate bars

So, there are 1580 chocolate bars

Learn more about ratio here:

brainly.com/question/1127546

#SPJ1

7 0

1 year ago