How would the intervals of the solution set differ between a polynomial inequality and a rational inequality?​

Answers

Answer 1

Answer:

Two differences: A polynomial inequality (PI) can always be replaced by a PI with one side zero. A rational inequality (RI) can not, because you do not know the sign of the denominator; a(x)b(x)>c(x)d(x) can not safely be replaced by a(x)d(x)−b(x)c(x)b(x)d(x)>0 because b(x) and/or d(x) might change signs unexpectedly.

Step-by-step explanation:


Related Questions

if a 60-page magazine cost $1.20 to print, find the cost per page to print.

Answers

2 cents per page to print

Answer:

the answer is 2 cents per page

Use the number line below, where RS = 6y + 3, ST = 4y + 7, and RT = 60.​

Answers

Answer:

Step-by-step explanation:

RS + ST = RT

6y + 3 + 4y + 7 = 60

6y + 4y + 3 + 7 = 60

       10y + 10   = 60

                  10y = 60 - 10

                 10y = 50

                    y = 50/10

y = 5

RS = 6*5 + 3 = 30 +3 = 33

ST = 4*5 + 7 = 20 + 7 = 27

Step-by-step explanation:

[Diagram in image attached]

RS + ST = RT

(6y +3) + (4y + 7) = 60

6y + 3 + 4y + 7 = 60

10y + 10 = 60

10y = 60 - 10

10y = 50

y = 50/10

y = 5

RS = 6y +3 = 6(5) + 3 = 30 + 3 = 33

ST = 4y +7 = 4(5) + 7 = 20 + 7 = 27

RT = 60

{RS + ST = RT

33 + 27 = 60}

HOPE THIS HELPS YOU

MARK AS BRAINLIEST

For the function w, w(3) = -2 and w(-2) = 8. If y = w(x), what is the value of y when
x = -2?

Answers

Answer:

6

Step-by-step explanation:

i took the test on edge

Please I need help!

Answers

Answer:

pls don't give up and try your best!

Step-by-step explanation:

try you best pllss

5x + 4y = 20 on a graph

Answers

Answer:

5x + 4y = 20 on a graph

Step-by-step explanation:

Model the unknown number problem by writing in algebraic expression. Jonas shared a bag of trail mix equally with 10 of his teammates. T-11 t/11 11t t+11

Answers

Answer: its t over 11. T/11

Step-by-step explanation:

I took the assignment

Answer:

b

Step-by-step explanation:

Emily wants to buy a new Gucci purse. She goes into the store and sees that they are running a January Blowout Sale and all purses are 60% off! She finds one that she likes and the tag reads $475.00. How much is Emily going to spend?

Answers

Answer:

Emily is going to spend $285

Step-by-step explanation:

You need to multiply 475.00 by 0.60 to get 285 spent on Emily's new purse.

Hello help me plsss plssss pretty pleasee!!!

Answers

Answer:6.1638 7.69 8.18.04

Step-by-step explanation:

6. 1638

7. 20

8. 9 4/12 or 9 1/3 (simplified)

Hope this helps!! :D may i have brainliest please?

Lee read 1/6 of book on monday and another 1/3 of it on tuesday ,he took another 4 days to finish reading the book he read the same number of pages on each of the days ,what fraction of the book did he read on each of these days?

Answers

Answer:

1/8

Step-by-step explanation:

Let

The total fraction of the book read = 1

The remaining 4 days be represented as= x

Hence:

1 = Fraction of book read on Monday + Fraction of the book read on Tuesday + Fraction of the book on the remaining 4 days

1 = 1/6+ 1/3 + x

x = 1 - (1/6+ 1/3)

x = 1 - (1 + 2/6)

x = 1 - (3/6)

x = 1 - 1/2

x = 1/2

The fraction of the book read in 4 days = 1/2

To calculate the fraction of the book read on each of the days, since he read the same number of pages on each of the days we have:

1/2 ÷ 4 days

= 1/2 × 1/4

= 1/8

Therefore, the fraction of the book that was read on each of the 4 days is 1/8

Match the angle in parallelogram WXYZ with a congruent one
∠XWZ

Answers

Step-by-step explanation:

Opposite angles in a parallelogram are congruent.

Therefore Angle XWZ = Angle XYZ. (D)

Answer:

D)XYZ

Step-by-step explanation:

I am pretty sure that's the answer

6. The diameter of a circle is 9 feet. What is the measure of its circumference? Round to the nearest tenth.
A. 28.3 ft

B. 63.6 ft

C. 4.5 ft

D. 14.1 ft

Answers

Answer:

A.

[tex]C= 28.3 \ \ feet[/tex]

Step-by-step explanation:

Formula for Circumference is

[tex]C=2\pi r[/tex]

We know radius is half of diameter

[tex]r=\frac{d}{2} \\r=\frac{9}{2}[/tex]

[tex]C=2(3.14)\frac{9}{2}[/tex]

[tex]C=(3.14)9\\C=28.3 feet[/tex]

Ms. Lynette earns $19.50 an hour when she works overtime. She worked overtime twice this week. One day she worked 3 hours of overtime. Her total overtime pay for the week is $146.25.

Write an equation to find the number of overtime hours she worked on the second day, x.

Answers

Answer:

146.25 divided by 2

Step-by-step explanation:

discover the pattern and continue 1,2,4,7,11,16,_,_,,_,_

Answers

Answer:

Step-by-step explanation

To go from 1 to 2, you add one. To go from 2 to 4 you add two. To go from 4 to 7, you add three. Then you add 4. Then you add 5 and so on.

what happens to the value of the expression 80_h as h increases from a small positive number to a large positive number​

Answers

Answer:

It decreases

Step-by-step explanation:

Hope you don't need an explanation, it decreases is the real answer.

Determine whether the function is linear or nonlinear. y−1/x=11 *

Answers

Answer:

vjhghjsbzkcbjhvdhmvh

Step-by-step explanation:

A new tablet was originally $180. It was on sale for 10% off the original price. The amount of the tablet after 10%

Answers

So first, find 10% of 180. 10% of 180 is 180/10 which is 18. Take £18 away from £180 which is £162. The price of the tablet after 10% is £162

Answer:

$162

Step-by-step explanation:

10% of 180 is 18

180-18=162

On a shelf there are 60 novels and 20 poetry books. What is the probability that person A chooses a novel and walks away with it and then person B walks up shortly after and picks another novel?

Answers

On a shelf there are 60 novels and 20 poetry books. Person A chooses a book at random off the shelf and leaves with it. Shortly after, Person B chooses another book at random. Calculate: 1)The probability that the book selected by Person B is a novel? = A picks a novel and B picks a novel OR A picks poetry and B picks novel =( 60/80*59/79) + ( 20/80* 60/59) = 0.75 2)

HALP! WORD PROBLEM 20 points: A store has reduced the price by $20. How large must the next discount be so the new price will be half of the original price? Express your answer as a percent to the nearest tenth.

Answers

Answer:

HALP word is wrong all word is but HALP is wrong.

(-z-8)-(6z-5)
HELP FAST

Answers

A is your answer -7z-3

Kiran scored 223 fewer points in a computer game than Tyler. Kiran scored 409 points. Which equation would Kiran use to determine how many points, t, Tyler scored?​

Answers

Answer:

[tex]t-223=409[/tex]

Step-by-step explanation:

Since Kiran scored 223 fewer points in a computer game than Tyler, Tyler's score can be represented as:

[tex]k+223=t[/tex], where [tex]t[/tex] is Tyler's score and [tex]k[/tex] is Kiran's score.

Since Kiran scored 409 points, we can set [tex]k=409[/tex]:

[tex]409+223=t[/tex].

Re-arranging this, we get:

[tex]\fbox{$t-223=409$}[/tex].

Answer:

h

Step-by-step explanation:

j

I need you guys help on dis...like I don’t even know anymore.

Explain if you can please!!

Answers

Jus Use a Caculater bro

What is 2i-3=2(6-i)+7i as a fraction or decimal or whole number

Answers

Answer:

i = - 5

Step-by-step explanation:

Given

2i - 3 = 2(6 - i) + 7i ← distribute and simplify right side

2i - 3 = 12 - 2i + 7i

2i - 3 = 12 + 5i ( subtract 5i from both sides )

- 3i - 3 = 12 ( add 3 to both sides )

- 3i = 15 ( divide both sides by - 3 )

i = - 5

At a restaurant your bill is $32. You have a coupon for 15% off. You are in Idaho and they charge you 7% tax. (Discount before tax) What is the final cost of your meal after your discount and with tax included? Round to the nearest cent.

Answers

Answer:

the answer is 25.30

Step-by-step explanation:

1. first you subtract the 15% from the bill that comes out to $27.20

2. next subtract the 7% tax from the $27.20 to get your answer

The number of trees in a rainforest decreases each month by 0.5%. The forest currently has 2.5 billion trees. Which expression represents how many trees will be left in 10 years.

Answers

Given:

Present number of trees = 2.5 billions

Rate of decrease = 0.5% per month

To find:

The expression that represents how many trees will be left in 10 years?

Solution:

Exponential decay model:

[tex]P(t)=a(1-r)^t[/tex]         ...(i)

where, a is initial value, r is decreasing rate and t is time period.

We have,

a = 2.5 billions

r = 0.5% = 0.005 per month

t = 10 years = 120 months                         [1 year = 12 months]

Putting a=2.5, r=0.005 and t=120 in (i), we get

[tex]P(120)=2.5(1-0.005)^{120}[/tex]

[tex]P(120)=2.5(0.995)^{120}[/tex]

[tex]P(120)=1.3699657[/tex]

[tex]P(120)\approx 1.37[/tex]

Therefore, the required expression is [tex]2.5(1-0.005)^{120}[/tex] and the remaining trees after 10 years is about 1.37 billions.

The slope formula can be used to find the slope, m, of a line with points (L1, y1) and (22, 42).
Y2 - Yi
22 - 21
m
Which is an equivalent equation?
O Y1 = -m (22 – x1) + y2
yı = -m (x2 – 21) – Y2
Oyı = m (22 – 21) + y2
Oyı = m (22 – 21) – Y2

Answers

Answer:

A. [tex] y_1 = -m(x_2 - x_1) + y_2 [/tex]

Step-by-step explanation:

Given, slope formula = [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

To find an equivalent equation, let's make [tex] y_1 [/tex] the subject of the formula.

[tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Cross multiply

[tex] 1(y_2 - y_1) = m(x_2 -x_1) [/tex]

[tex] y_2 - y_1 = m(x_2 - x_1) [/tex]

Subtract [tex] y_2 [/tex] from both sides

[tex] y_2 - y_1 - y_2 = m(x_2 -x_1) - y_2 [/tex]

[tex] - y_1 = m(x_2 - x_1) - y_2 [/tex]

Divide both sides by -1

[tex] \frac{- y_1}{-1} = \frac{m(x_2 -x_1) - y_2}{-1} [/tex]

[tex] y_1 = -m(x_2 - x_1) + y_2 [/tex]

What is the Midpoint of segment BC with B(-9, -4) and C(-3, 5)?

Answers

Answer:

(-6,0.5)

Step-by-step explanation:

(-9 + -3)÷2= -6

(-4 + 5)÷2=0.5

(-6,0.5)

convert 4 miles to feet
A. 21,120
B. 21,000
C. 22,000
D. 20,210

Answers

Answer: A. 21,120

Step-by-step explanation: Good luck! :D

The correct answer is A
A. 21,120

determine if the following statement is true or false. if it is false, rewrite the statement so it is true. if a function has an inverse, and the function contains the point (r,q), then the inverse also contains the point (r,q).

Answers

It’s false, just rewrite the statement but change the final part where it says the inverse also contains the point “(r,q)” as that’s wrong it would be the point (q,r)

She ran 52.16 seconds per 400 meters, how fast was she running in meters per hour?

Answers

Answer:

27607.36 meters per hour

Step-by-step explanation:

400/52.16 = 7.66871165644

7.66871165644 meters per second

7.66871165644 × 60 = 460.122699386 meters per minute

460.122699386 * 60 = 27607.3619632 meters per hour

27607.3619632 meters per hour

what is the coefficient of y in 1 x 4 + 7y

Answers

Answer: The coefficient, which in this case is the numerical coefficient, is 7. Hope this helps (:
The coefficient would be 7. The coefficient means the number before a variable. In this case the variable is Y and the number before it is 7. Hope this helps, please mark brainlist?
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