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3 years ago

Which of the following gives an example of a set that is closed under multiplication?

Mathematics

1 answer:

riadik2000 [5.3K]3 years ago

4 0

A The product of an even number and an even number

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Solve for x in simplest form (again) You don't need to write out the work for me, you can jus write down the answer you got.

FromTheMoon [43]

Answer:

x = 40/21

Step-by-step explanation:

This should be the right answer...

5 0

3 years ago

Read 2 more answers

PLS PLS HELP, I DONT WANT TO FAIL!!

Flura [38]

Answer:

2.0 seconds

Step-by-step explanation:

Given quadratic functions:

$\begin{cases}y=-7x^2+26x+3\\y=-6x^2 +23x+5\end{cases}$

To find the time, in seconds, that the balloons collided at the highest point, substitute one equation into the other equation and rearrange to equal zero:

$\begin{aligned}-6x^2+23x+5 & = -7x^2+26x+3\\-6x^2+23x+5+7x^2 & = -7x^2+26x+3+7x^2\\x^2+23x+5 & = 26x+3\\x^2+23x+5-26x & = 26x+3-26x\\x^2-3x+5& = 3\\x^2-3x+5-3& = 3-3\\x^2-3x+2& = 0\end{aligned}$

Factor the quadratic:

$\begin{aligned}x^2-3x+2 & = 0\\x^2-2x-x+2 & = 0\\x(x-2)-1(x-2) & = 0\\(x-1)(x-2) & = 0\\\end{aligned}$

Apply the zero-product property to solve for x:

$\implies (x-1)=0 \implies x=1$

$\implies (x-2)=0 \implies x=2$

Therefore, the balloons collided at 1 second and 2 seconds.

To find at which time the highest point of collision occured, substitute both values of x into one of the functions:

$f(1)=-6(1)^2 +23(1)+5=22$

$f(2)=-6(2)^2 +23(2)+5=27$

Therefore, the time, in seconds, that the balloons collided at the highest point is 2.0 seconds.

Learn more about quadratic systems of equations here:

brainly.com/question/27930827

8 0

1 year ago

Read 2 more answers

Write 54 + 63 as the product of the GCF of 54 and 63 and another sum

levacccp [35]

Answer:

9*(6+7)

Step-by-step explanation:

First, we have to find the Greatest Common Factor (GCF), to do this we have to see all the factors of 54 and 63 and find the greatest factor that they have in common.

Factors of 54

1,2,3,6,9,18,27,54

Factors of 63

1,3,7,9,21,63

The GCF is 9 because is the greatest factor that is common to both numbers.

Now we have to divide 54/9 and 63/9

54/9 = 6

63/9 = 7

So now we can write the product of the GCF and another sum:

9*(6+7)

We can prove this by solving both expressions:

54+63 = 9*(6+7)

117 = 9*13

117 = 117

The results are equal so we prove it is right.

8 0

2 years ago

Read 2 more answers

All the angles in the angles in the figure are right angles and lengths are measured in centimeters. what is the area , in squar

IgorLugansk [536]

Answer:

62 square cm

Step-by-step explanation:

The whole rectangle 12X10 = 120

Now subtract 2 restangles:

5x8 =40

6x3 =18

30+18= 58

120-58 =62

3 0

3 years ago

Evaluate the expression: 35+22−25(8−6)÷3

goldenfox [79]

I got 40.3
I’m pretty sure this is correct Srry if it’s not
Hope this helps :)

3 0

3 years ago