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3 years ago

Please help ( 20 points )

Mathematics

1 answer:

VashaNatasha [74]3 years ago

7 0

Answer:

1+pi/2, 5/2, square root of 12-1, 2.25. Let me know if this is correct!

Step-by-step explanation:

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Suppose f(x)= 4x/3+5 and g(x) = x/3 +1. solve for x when f(x)=g(x)

yuradex [85]

$\bf \begin{cases}
f(x)=\cfrac{4x}{3}+5\\\\
g(x)=\cfrac{x}{3}+1
\end{cases}\qquad f(x)=g(x)\implies \cfrac{4x}{3}+5=\cfrac{x}{3}+1$

solve for "x" then

4 0

3 years ago

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

12x=3<br> Already forgot

egoroff_w [7]

The answer is $x=\frac{1}{4}$

First, you must divide 12 on both sides.

$x=\frac{3}{12}$

Then, simplify the fraction.

$x=\frac{1}{4}$

4 0

3 years ago

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What is the square root of 59?

Volgvan

the square root of 59 is <span>7.68114574787</span>

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3 years ago

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Explain why the absolute value of a number is never negative

Nataly_w [17]

Think of it as the amount of spaces you move on a number graph. so for example from -3 to -7 is 4 spaces. i hope you find this helpful!

8 0

3 years ago