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MariettaO [177]
1 year ago
6

Solve the polynomial inequation and graph the solution set on a number line. Express the solution in interval notation.

Mathematics
1 answer:
kirill [66]1 year ago
5 0
Solving a polynomial inequation

Solving the following inequation:

(x - 8) (x + 1) > 0

We are going to find the sign both parts of the multiplication,

(x - 8) and (x + 1), have when

x < - 8

-8 < x < 1

1 < x

Then we know (x - 8) (x + 1) > 0 whenever (x - 8) (x + 1) is positive

We can see in the figure (x - 8) (x + 1) is positive when x < -8 and x > 1

Then

Answer:B

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stira [4]

Questions:

(a) What is a simplified expression for (x + y) – (x – y)?

(b) Carlotta thinks that 3y + 5y^3 is the same as 8y^4. Which statement shows that it is NOT the same?

Answer:

(x + y) - (x - y) =2y

3y + 5y^3 \ne 8y^4

Step-by-step explanation:

Solving (a):

Given

(x + y) - (x - y)

Required

Simplify

(x + y) - (x - y)

Open brackets

(x + y) - (x - y) = x + y - x + y

Collect Like Terms

(x + y) - (x - y) = x - x+ y  + y

(x + y) - (x - y) = y  + y

(x + y) - (x - y) =2y

Solving (b):

Given

3y + 5y^3 and 8y^4

Required

Which expression shows they are not the same

The expression that shows this is:

3y + 5y^3 \ne 8y^4

Take for instance; y=2

Substitute 2 for y in 3y + 5y^3 \ne 8y^4

3*2 + 5*2^3 \ne 8*2^4

Evaluate all exponents

9 + 5*8 \ne 8*16

9 + 40 \ne 128

49 \ne 128

The above expression supports 3y + 5y^3 \ne 8y^4

5 0
3 years ago
A man bought a house for 3600 Naira he repairs the house with 150 Naira if he sold the house for 4950 Naira . Find his percentag
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Step-by-step explanation:

profit%=

\frac{selling \: price - cost \: price}{cost \: price}  \times 100\%

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\frac{4950 - 3750}{3750}  \times 100\%

\frac{1200}{3750}  \times 100\%

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We know that 1 kilometer = 1,000 meters and that 1 hour = 60 minutes = 3,600 seconds


We have 26.8 meters per second so whats 26.8 meters in kilometers? there is 0.0268 kilometers in 26.8 meters. So now we need to multiply 0.0268 by 3,600 to get 96.48


So your answer would be 96.48 km/h

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3 years ago
What are all values of x that satisfy 4x-1 &lt; 6x+9
Lady bird [3.3K]

The values of x that makes the inequality true are all values less than -5

<h3>Inequality expressions</h3>

Given the inequalities below expressed as;

4x-1 < 6x+9

Collect the like terms

4x-6x < 9+1

-2x < 10

x <-10/2

<h3>x < -5</h3>

Hence the values of x that makes the inequality true are all values less than -5

Learn more on inequality here; brainly.com/question/24372553

#SPJ1

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