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3 years ago

I’m not sure how to do solving and graphing inequalities

Mathematics

1 answer:

Juliette [100K]3 years ago

7 0

Answer:

its easy

Step-by-step explanation:

First you need to get your two numbers or more than to like for example 6 and 9 6<9 the alligator mouth would go to the 9 because its bigger and say for instances 9,10,5 it would be 9<10>5 ten is bigger than them all so there you go

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Write a polynomial f (x) that satisfies the given conditions. Polynomial of lowest degree with zeros of -4 (multiplicity 3), 1 (

yuradex [85]

Answer:

Step-by-step explanation:

Polynomial f(x) has the following conditions: zeros of -4 (multiplicity 3), 1 (multiplicity 1), and with f(0) = 320.

The first part zeros of -4 means (x+4) and multiplicity 3 means (x+4)^3.

The second part zeros of 1 means (x-1) and multiplicity 1 means (x-1).

The third part f(0) = 320 means substituting x=0 into (x+4)^3*(x-1)*k =320

(0+4)^3*(0-1)*k = 320

-64k = 320

k = -5

Combining all three conditions, f(x)

= -5(x+4)^3*(x-1)

= -5(x^3 + 3*4*x^2 + 3*4*4*x + 4^3)(x-1)

= -5(x^4 + 12x^3 + 48x^2 + 64x - x^3 - 12x^2 - 48x - 64)

= -5(x^4 + 11x^3 + 36x^2 + 16x -64)

= -5x^3 -55x^3 - 180x^2 - 80x + 320

8 0

3 years ago

Read 2 more answers

Let A be a set of numbers.

LUCKY_DIMON [66]

Answer:

a. closed under addition and multiplication

b. not closed under addition but closed under multiplication.

c. not closed under addition and multiplication

d. closed under addition and multiplication

e. not closed under addition but closed under multiplication

Step-by-step explanation:

Let A be a set of all integers divisible by 5.

Let $x,y$ ∈A such that $x=5m\,,\,y=5n$

Find $x+y,xy$

$x+y=5m+5n=5(m+n)$

So, $x+y$ is divisible by 5.

$xy=(5m)(5n)=25mn=5(5mn)$

So,

$xy$ is divisible by 5.

Therefore, A is closed under addition and multiplication.

Let A = { 2n +1 | n ∈ Z}

Let $x,y$ ∈A such that $x=2m+1\,,\,y=2n+1$ where m, n ∈ Z.

Find $x+y,xy$

$x+y=2m+1+2n+1=2m+2n+2=2(m+n+1)$

So,

$x+y$ ∉ A

$xy=(2m+1)(2n+1)=4mn+2m+2n+1=2(2mn+m+n)+1$

So,

$xy$ ∈ A

Therefore, A is not closed under addition but A is closed under multiplication.

$Let A=\{2,5,8,11,14,...\}$

Let $x=2,y=5$ but $x+y=2+5=7$ ∉A

Also,

$xy=2(5)=10$ ∉A

Therefore, A is not closed under addition and multiplication.

Let A = { 17n: n∈Z}

Let $x,y$ ∈ A such that $x=17n,y=17m$

Find x + y and xy

$x+y=17n+17m=17(n+m)$

$xy=(17m)(17n)=289mn=17(17mn)$

So,

$x+y,xy$ ∈ A

Therefore, A is closed under addition and multiplication.

Let A be the set of nonzero real numbers.

Let $x,y$ ∈ A such that $x=-1,y=1$

Find x + y

$x+y=-1+1=0$

So,

$x+y$ ∈ A

Also, if x and y are two nonzero real numbers then xy is also a non-zero real number.

Therefore, A is not closed under addition but A is closed under multiplication.

4 0

3 years ago

A 2 cm x 2 cm x 2 cm cube holds 468 grains of rice. How many grains of rice would fit in a box with

Amiraneli [1.4K]

Let the Volume of the first cube be V1

V1 = 2 * 2 * 2

= 8 cm*3

Let the Volume of the second cube be V2

V2 = 6 * 2 * 12

= 144 cm*3

Now, cube1 with volume of 8 cm*3 holds 468 grains of rice.

Thus, 1 cm*3 volume can hold 58.5 grains of rice ( 468 / 8 = 58.5)

Cube2 has volume of 144 cm*3.

Hence, it can hold 8424 grains of rice ( 144 * 58.5 = 8424)

4 0

3 years ago

Select all that apply.

lord [1]

Answer:

improved mental health

decreased risk of alcohol and drug use

3 0

3 years ago

Read 2 more answers

What is the difference between 89 and 236 ( math equation)

inn [45]

Answer:

147

Step-by-step explanation:

236-89=147

3 0

2 years ago