Perform the following operations and prove closure. Show your work.

x
x+3
+
x+2
x+5


x+4
x2+5x+6
•
x+3
x2−16


2
x2−9
−
3x
x2−5x+6


x+4
x2−5x+6
÷
x2−16
x+3

Answer:

5.85 is the total after the discount. The amount taken off is 1.95.

Step-by-step explanation:

Answer:

It is 25 units

Step-by-step explanation:

The triangles are equal

Answer:

25 Units.

Step-by-step explanation:

The Triangles are equal and have the same area. Therefore, the longest side of ΔDEF and ΔABC will measure the same.

Answer:

Kindly check attached picture

Step-by-step explanation:

A standard dice has 6 faces numbered {1,2,3,4,5,6}

For 2 dice, n = 2 ; sample space = n² = 6² = 36

The sum of the 2 upward facing dots:

{(1,1) (1,2) (1,3) (1,4) (1,5) (1,6);

(2,1 ) (2,2),(2,3),(2,4),(2,5),(2,6) ;

(3,1)(3,2)(3,3)(3,4)(3,5)(3,6);

(4,1)(4,2)(4,3) (4,4)(4,5)(4,6);

(5,1)(5,2)(5,3)(5,4)(5,5)(5,6);

(6,1)(6,2)(6,3)(6,4)(6,5)(6,6)}

Answer:

6.7cm

Step-by-step explanation:

We apply Pythagoras Theorem twice.

First we find out the diagonal of the base of the cuboid.

The diagonal of the base = sqrt (2^2+4^2) = sqrt (20).

Then we find out AB by applying Pythagoras Theorem.

AB^2 = 5^2 + [sqrt (20)]^2

AB^2 = 45

AB = 6.7cm (correct to 1 decimal place)

Answer:

Hope this helps!

Step-by-step explanation:

2L + 3S = 83

4L + 8S = 197

Multiplies the top equation by -2.

-4L + -6S = -166

4l  + 8S = 197

Adding them together...

2S = 31

S = 31/2 = 15.5

Plugging into the first equation:

 2L + 3S = 83

 2L + 3(15.5) = 83

2L + 46.5 = 83

2L = 83 - 46.5

2L = 36.5

L = 36.5/2 = 18.25

check:

2L + 3S = 2(18.25) + 3(15.5) = 36.5 + 46.5 = 83

4L + 8S = 4(18.25) + 8(15.5) = 73 + 124 = 197

The Large box weighs 18.25

The small box weighs 15.5

Answer:

i think it's Z = 8,4

I'm not sure

Answer:

Answer is D

Step-by-step explanation:

Using the zeros of the graph we should have y=0 when we put x=-2, x=-1, x=1, x=2

Only the function on option D works, so the answer is D

Answer: y=-1x-8

Step-by-step explanation:

The first step is to: Move the 'X' to the right side of the equation.

The second step is to: Divide the 'Y'

But since the 'X' is already on the right side you will just divide the 'Y'. If the 'X' was on the left then you will follow those steps that I gave you at the beginning in order to get it in the y=mx+b.  

So it will look like this:

2y=-1x-8

y=-1x-8

y= -1(is the slope)x-8(is the Y-intercept)

So, if you have to graph this you will graph it starting with negative 8 as the y-intercept. Then you will go down one and over 1.

Answer:

1/3x - 2y - 5x + 8

Step-by-step explanation:

Given:

1/3x - 2y - 5x + 8

1. There are four (4) terms in the expression: 1/3x, -2y, -5x, 8

2. Like terms are terms which have the same thing in common such as 1/3x, -5x in the expression

3. A constant is a term without a variable. 8 is the constant in the expression

4. The variables in the expression are: x and y

5. The coefficients are; 1/3, -2, and -5

Answer:

-5/24

Step-by-step explanation:

here u gooo :).....

Answer:

1. Positive, 2. negative, 3. 16.8-(-28.1), Final answer -44.9.

Step-by-step explanation

Tryna cheat off the I-ready diagnostics huh

Answer:

The answer to this question is that  1. Positive, 2. negative, 3. 16.8-(-28.1), Final answer -44.9.

Step-by-step explanation:

Good luck :)

Answer:

8/10

Step-by-step explanation:

The rise on the y axis is eight and the run on the x axis is 10

(Hope this helped)

Answer:

6

Step-by-step explanation:

i guess

Answer:

x^2 - 8xy + 3y^2 - 2

Step-by-step explanation:

(-8xy + 2x^2 + 3y^2) - unknown = x^2 + 2

- unknown = x^2 + 2 + 8xy - 2x^2 - 3y^2

- unknown = -x^2 + 8xy - 3y^2 + 2

Unknown = x^2 - 8xy + 3y^2 - 2

Check:

(-8xy + 2x^2 + 3y^2) - (x^2 - 8xy + 3y^2 - 2)

= -8xy + 2x^2 + 3y^2 - x^2 + 8xy - 3y^2 + 2

= -8xy + 8xy + 2x^2 - x^2 + 3y^2 - 3y^2 + 2

= x^2 + 2

Answer: it is 1 :)

also i took the quiz and got it right! hope this helps!!

Answer:

4

Step-by-step explanation:

because 25×11= 275 and 500-275 =225

50x4=200

225-200=25 you can buy 4 and 25$ is left over

Answer:

Step-by-step explanation:

By using regression line calculator,

Equation of the regression line from the data given,

y = -0.38993x + 26.95184

Here, y = weekly hours of sport

x = Time to run

For x = 50 minutes,

y = -0.38993(50) + 26.95184

  = 7.45534

  ≈ 8

Since, slope of the given regression line is negative, correlation will be negative (n).

Answer:

5.50 this should help :p

Answer:

x = 1, y = 3

Step-by-step explanation:

Given the 2 equations

y = 2x + 1 → (1)

y = - x + 4 → (2)

Substitute y = 2x + 1 into (2)

2x + 1 = - x + 4 ( add x to both sides )

3x + 1 = 4 ( subtract 1 from both sides )

3x = 3 ( divide both sides by 3 )

x = 1

Substitute x = 1 into (1) and evaluate for y

y = 2(1) + 1 = 2 + 1 = 3

Then solution is x = 1, y = 3

Answer:

75

Step-by-step explanation:

45+(2*15)

45+30

75

Hope it helped!

Answer:

Equation: 45 + 2(x)

Answer: 45 + 2(15) = 45 + 30 = $75

Step-by-step explanation:

45: # of money she had

2: the amount of money she makes when she completes her chores

x: the number of days she completes her chores

Hope this helps!

Answer:

40

her age was 36 she added 4nwhich made 40 then doubles makesn80

9514 1404 393

Answer:

  76

Step-by-step explanation:

For age 'a', the special number was supposed to be ...

  2a +4

Tammi's mother actually calculated it as ...

  2(a +4) = 2a +8

a value that is (2a+8) -(2a+4) = 4 more than it was supposed to be.

The special number was supposed to be 80 -4 = 76.

Answer:

(-4,5) is located on the 2nd quadrant

Answer:

(-4, 5)

Step-by-step explanation:

Quadrant II is at the top left. So, point (-4, 5) is located in Quadrant II.

Answer:

1. 2m^2-2n^2

Step-by-step explanation:

1. (m-n)(m^2+mn+n^2)

m^2=m

n^2=n

=(m-n)(m+mn+n)=(m-n)(2m2n)

Multiple

=2m^2-2n^2

Answer:

57 degrees

Step-by-step explanation:

180-66 = 114

114/2 = 57

Answer: (2x - xy - x^2) / (y + x)(y - x)

Step-by-step explanation: *graded correct

First simplify:              2x / y^2 - x^2 = 2x / (y+x)(y-x)

Next subtract x / y-x: 2x / (y+x)(y-x) - x / y-x

Get:                              x(2-y-x) / (y+x)(y-x)

Simplify numerator :   (2x - xy - x^2) / (y+x)(y-x)

Answer:

That's very simple 2^–1 is equal to 1/2 and 5^0 is equal to 1. Then add this two. 1/2+1 is equal to 1.5.

plz rate me brainiest

Answer:

f(-2), where f= -43/2

f(-1), where f= -16

f(0), where f has no solution

f(1), where f= 10

f(2), where f= 31/2

Answer:

I would think the answer is 28?

im not really that sure