Which of the following is the product of the rational expression shown below?[tex]((x)/(x+3))*((x)/(x+2))[/tex]


A. x^2/ x^2+5x+6

B. x^2/ x^2+6

C. 2x/ x^2+5x+6

D. x^2/x^2+5

Step-by-step explanation:

[tex]x + 3y = 1 \\ - 3x - 3y = - 15 \\ x = 1 - 3y \\ - 3(1 - 3y) - 3y = - 15 \\ - 3 + 9y - 3y = - 15 \\ - 3 + 6y = - 15 \\ 6y = - 15 + 3 \\ 6y = - 12 \\ y = - 2[/tex]

[tex]y = - 2 \\x = 1 - 3y \\ x = 1 - 3( - 2) \\ x = 1 + 6 \\ x = 7[/tex]

Answer:

3

Step-by-step explanation:

base = 4-1

= 3

height = 3-1

= 2

Area = 1/2 (b)(h)

= 1/2 (3)(2)

= 3

therefore the answer is 3 square unit

Answer:

b= (3z-6)/(1+3z)

Step-by-step explanation:

z=(-b+6)/(3b-3)

cross multiple

z(3b-3)=-b+6

open the bracket

3bz-3z=-b+6

make -b the subject of the formula

-b = 3bz-3z-6

-b - 3bz = -3z - 6

factorize the left hand side...

-b(1+3z) = -3z-6

make -b the subject of the formula again

-b = -(3z-6)/(1+3z)

cancel the minus at both sides...

b = (3z-6)/(1+3z)

Answer:

b = [tex]\frac{3z + 6}{3z+1}[/tex]

Step-by-step explanation:

Simply solve for "b" , so the formula will be

b = .....

z = [tex]\frac{-b+6}{3b-3}[/tex] ( b > 0 )

z(3b - 3) = - b + 6

3zb - 3z = - b + 6

3zb + b = 3z + 6

b( 3z + 1 ) = 3z + 6

b =  [tex]\frac{3z + 6}{3z+1}[/tex]

Answer:

dude if they have a pattern they are a function figure it out from there

Answer:

can't understand question can you edit it or repost it

Step-by-step explanation:

and please mark me thanks

The algebraic expression for the given statement is: 100 - 12y.

An algebraic expression is a mathematical statement used to state a given problem using variables and digits.

Product means multiplication while difference means subtraction.

Product of y and 12 = 12y

Difference of 100 and 12 y would therefore be expressed in algebraic expression as: 100 - 12y.

Learn more about algebraic expression on:

https://brainly.com/question/2164351

#SPJ6

9514 1404 393

Answer:

Step-by-step explanation:

1. The only "Given" statement involving QR is ...

  QR ≅ SR

2. You will notice that PQ ≅ PS is a Given statement.

3. The reflexive property says a segment is congruent to itself:

  PR ≅ PR

4. All three sides of the triangles have been shown to be congruent. The appropriate choice for the postulate that shows congruence of the triangles is the SSS Postulate.

Answer: 24, b

Step-by-step explanation:

So it said "In the Math Club", 67% are not in the literature club. We also know that this 67% is 16 people.

Now we can set up an equation to find the total number of people in the math club. Let's say the total number of people in the Math club is x, so 0.67x = 17, and x = 25.37 rounded. So if 25 people in total, 16 not in the literature club, then that means 25-16 = 9 people are in both the Math club and the Literature club.

So of the students "Not in the Math Club", it said that 78 percent are not in the Literature Club. This means 22 percent are in the literature club. We also know 4 people are in the literature club.

Now we can set up an equation to find the total number of people not in the math club. Let's say the total number of people not in the Math club is x, so 0.22x = 4, x = 18.18 rounded. So if 18 in total, 4 in the literature club, than 14 not in the literature club.

Since x = 9, and y = 14, x+y will equal 23, rounding up to 24 since we rounded down the total number of people.

Given:

The parent function is:

[tex]f(x)=x^2[/tex]

The graphs of f(x) and g(x) are given.

The graph of g(x) passes through the point (3,3).

To find:

The function g(x).

Solution:

From the given graph, it is clear that the graph of f(x) compressed vertically to get the graph of g(x). So,

[tex]g(x)=kf(x)[/tex]

Where, k is the stretch factor.

It can be written as:

[tex]g(x)=kx^2[/tex]                 ...(i)

The graph of g(x) passes through the point (3,3). Putting [tex]g(x)=3,x=3[/tex] in (i), we get

[tex]3=k(3)^2[/tex]

[tex]3=k(9)[/tex]

[tex]\dfrac{3}{9}=k[/tex]

[tex]\dfrac{1}{3}=k[/tex]

Putting [tex]k=\dfrac{1}{3}[/tex] in (i), we get

[tex]g(x)=\dfrac{1}{3}x^2[/tex]

Therefore, the correct option is D.

Answer:

the answer is 28.8 billion plastic bottles

Answer:

28.8 million

Step-by-step explanation:

24 hrs in one day - 1.2 M*24=28.8 M

Answer:

7.874 inches

Step-by-step explanation:

20/2.54=7.874

Answer:

7.87

Step-by-step explanation:

1/x = 2.54/20

2.54x = 20

x = 20/2.54

x = 7.87401574803

x = 7.87

Answer:

60 cm

Step-by-step explanation:

Perimeter = 2(12) + 2(18)

Perimeter = 2(30) = 60

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

60cm

Step-by-step explanation:

(diagram with colors below)

The two red sides can be visualized as the same length as the length, so the two red segments add up to 18cm. The same thing can be said with the blue segments and the width. We can say the perimeter can be:

18 + 18 + 12 + 12 = 60cm

Answer:

DPB

Step-by-step explanation:

Verticle angles are congruent

m∠APC = m∠DPB

Answer:

(2, -3)

Step-by-step explanation:

YEAH

Answer:

x=2; y=-3

Step-by-step explanation:

Answer:

C. (1, -2)

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Where the 2 lines intersect on a graph will be the solution to the systems of equations. According to the graph given. the lines intersect at (1, -2).

∴ our answer is C.

Answer:

C. (1,-2)

Step-by-step explanation:

with systems of equations, the answer is always where the lines intersect. which in this graph is at (1,-2)

hope this helps! lemme know if you need more

Answer:

d

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The shape starts with 2 dots, then to 3 dots, and then to 4 dots. This means that the next step must have 5 dots, which option D has.

Answer:

189

Step-by-step explanation:

If you mean this, my answer is 3x63= 189

[tex] {x}^{2} + {y}^{2} = 57 \\ xy = 3[/tex]

[tex] {x}^{2} + {y}^{2} + 2xy = 57 + 2 \times 3[/tex]

[tex] {(x + y)}^{2} = 63[/tex]

[tex]3 {(x + y)}^{2} = 3 \times 63 = 189[/tex]

Step-by-step explanation:

the answer is in the above image

please give me brainliest

Answer:

none

Step-by-step explanation:

any value on y cancel 4y and then we will have -12=12 which is not true.

Answer:

length: 7in.

width: 5in.

Step-by-step explanation:

so we know that 7*5 is 35 yes? since we already know the area, which is just l*w, and that 5 is two less that 7, we can conclude that the length is 7 and the width 5

hope this helps! lemme know if you need more

Answer:

For A I'd say about 100° and for B about 150° (This is just my estimation)

Step-by-step explanation:

A is almost a right angle but a little more than 90°.

B is almost a straight/flat angle but it's less than 180°.

Answer:

a. 115(Looks kinda like 112 or 113 but it says estimate so it should work)

b. around 230

Step-by-step explanation:

Answer: slope is -3/2

Step-by-step explanation:

(-2,5) (4,-4)

Use the slope formula y2-y1/x2-x1

5-(-4)/-2-4 = -3/2

Answer:

The slope of the line containing (-2,5) and (4,-4) is [tex]-\frac{3}{2}[/tex]

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The triangles do have equal angles and proportional sides, because they are bot right triangles formed on parallel lines.

:)ur welcome

Answer: Choice B

Yes. Right triangles formed on parallel lines have proportional side lengths and congruent angles.

====================================================

Explanation:

Parallel lines always have equal slopes, but different y intercepts.

Recall that slope = rise/run.

The "rise" is the vertical portion of the triangle, while the "run" is the horizontal portion.

So let's say we had a slope of rise/run = 2/3. This means rise = 2 and run = 3.

If we had something like rise/run = 4/6, then that reduces to 2/3, showing that 4/6 = 2/3. They are the same slope.

We can use the SAS similarity theorem to prove the triangles formed in the diagram are congruent based on what is discussed above.

Because the triangles are similar, this means the corresponding angles are congruent. One such pair is the pair of right angles shown.

Answer:

Step 3

Step-by-step explanation:

Step-by-step explanation:

there must be something missing here (I guess, the graph).

because just by looking at the 2 points, all 4 answer options could be wrong, or all 4 could be right.

just basing on the point coordinates I see the functional values (y) go from 2 to 4.

but we have no clue about what that curved function does in between these 2 points.

please provide the full information.

Answer:

a.y=-x½+5

Step-by-step explanation:

from the above functions ,the highest degree or power is ½ on a.⅓,¼,⅙ are smaller than ½

Step-by-step explanation:

Let H = HCF(A,B) and L = LCM(A,B)

Then A*B = L*H

Here L*H = 100*5 = 500

Also H <= A ,B <= L

So we need to find all A*B = 500, satisfying the above condition. This can be done using prime factorisation of 500.

Here 500 = 2^2 * 5^3

so possible values of A and B are

1 , 500

2, 250

4, 125

5,100

10,50

20,25

(assuming order doesn’t matter.)

so pairs satisfying given condition are → (20,25) and (100,5)

You can write a computer program in language of your choice to do it for other bigger numbers.

Answer:

-7/9

Step-by-step explanation:

= (-4/9) x (7/4)

= -4/9 x 7/4

= -28/36 (simplifying gives -7/9)

Answer:

2

Step-by-step explanation:

m = rise/run

m = (16-4) / (9-3)

m = 12 / 6 = 2