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1 year ago

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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What is a simplified eCarlotta thinks that 3y + 5y3 is the same as 8y4. Which statement shows that it is NOT the same?Xpression

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

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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

kozerog [31]

Step-by-step explanation:

profit%=

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

$\frac{4950 \: naira - 3600 \: naira + 150 \: naira}{3750 \: naira} \times 100\%$

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

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

=36%

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3 years ago

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ra1l [238]

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3 years ago

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3 years ago

What are all values of x that satisfy 4x-1 < 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

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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2 years ago