The answer choices are -3/4, -1/2, 2/3, and 4/3.

The sum of the rational expression is (4x²+14x)/ (x²+6x+8)

A rational expression is an expression that is the ratio of two polynomials. For example, the expression (x^2 + 2x + 1) / (x + 1) is a rational expression. The numerator and denominator can have different degrees and the expression can be simplified if there is a common factor.

To find the sum of the rational expression 3x/(x+2) + x/(x+4). First, find the LCM of (x+2) and (x+4), which is (x+2)(x+4):

3x/(x+2) + x/(x+4) = [3x(x+4) + x(x+2)] / (x+2)(x+4)

                             = [3x²+12x + x²+2x] / (x²+4x+2x+8)  

                             = (4x²+14x)/ (x²+6x+8)

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the answer is -1/3 y-incercept= -1

Answer:

The first one

Step-by-step explanation:

It’s y intercept is 1 and the slope is 1/3 because it goes up one and to the left 3 . I know it’s negative because it’s going down to the right.

Answer:

shut up b

sorry gad will elp you

Step-by-step explanation:

Answer:

your friend is wrong

Step-by-step explanation:

There is a theorem in geometry called the Exterior Angle Theorem which was developed by Euclid (Greek mathematician that lived in Alexandria around 300 B.C.) that states that the exterior angle of a triangle will always equal the sum of the 2 nonadjacent interior angles.

If you look at the attached image, °d = °a + °c

Answer:

The degree of the polynomial is even because it is a 4th degree polynomial. 4 is even, so the graph will behave roughly like a quadratic; namely, its graph will either be up on both ends or else be down on both ends.

The y-intercept is the constant term. The constant term is -4 because it is the only number on the y-axis.

Answer:

Any number for x will work

Step-by-step explanation:

6x-3=3(2x-1)

expand

6x-3=6x-3

add three to both sides

6x=6x

simplify

x=x

Therefore any number for x will work

Answer:

x=x

Step-by-step explanation:

6x-3=3(2x-1)

Used Distributive property to 3(2x-1)

6x-3=6x-3

Add 3 to both sides:

6x=6x

Divide 6 from both sides:

x=x

Answer:

4x

Step-by-step explanation:

-3x + 7x

(-3 + 7)x

4x

Answer:

4x

Step-by-step explanation:

to make it easier, remove the x:

-3+7

Add:

4

Put the X back:

4x

This method will not always work for every problem.

Answer:

The length of each side of the base must be 6.

Step-by-step explanation:

Total volume = 396

Volume = Length x width x height

We know height = 11

So,

11 x Length x Width = 396

396 / 11 = 36

Length x Width = 36

This is a square prism so all sides of base are equal.

Length = 6

Width = 6

And therefore all the other sides of the base are also 6.

Answer:

let x be chips and y be sodas

8x + 4y = 5 ---> for the first hint

4x + 8y = 7------> second hint

0.25 cents is how much chips costs

and 0.75 cents is how much sodas costs

Answer: Each bag of chips is $0.25, each soda is $0.75.  

(0.25 x 8) + (0.75 x 4) = 5

2 + 3 = 5

(0.25 x 4) + (0.75 x 8) = 7

1 + 6 = 7

The area of a circle is PI x r^2

25PI = PI x r^2

Divide both sides by PI:

25 = r^2

Take the square root of both sides:

Radius = 5 inches.

Answer:

5 is the radius.

Step-by-step explanation:

Since the formula for area in a circle is [tex]\pi r^{2}[/tex], we can substitute 25 for r squared.

Since 25 is equal to r squared, it means that r is equal to 5.

5 is the radius.

#teamtrees #WAP (Water And Plant)

Answer:

1. 48

2. 168

3. 400

4. 126

5. 48

6. 154

7. 270

Answer:

The value of f is 80.6.

Step-by-step explanation:

We are given the equation and asked to solve for f.

If we are given a fraction with a variable in the numerator, we can multiply both sides of the equation by the denominator to isolate it.

For example, if you look at this equation:

[tex]\displaystyle\frac{a}{26}=17.9[/tex]

We can multiply both sides by 26 to get the a by itself so the equation can be solved.

[tex]\displaystyle26\times\frac{a}{26}=17.9\times26\\\\a = 465.4[/tex]

Therefore, we can apply this same technique to the equation [tex]\frac{f}{13}=6.2.[/tex]

[tex]\displaystyle\frac{f}{13}=6.2\\\\13\times\frac{f}{13}=6.2\times13\\\\f = 80.6\ \text{or} \ \frac{403}{5}[/tex]

Therefore, the value of f is 80.6.

Answer:

f = 80.6

Step-by-step explanation:

Multiply both sides by 13.

f /13 =6.2

( f /13 )*(13)=(6.2)*(13)

f = 80.6

Answer:

The value of x is -3

Step-by-step explanation:

∵ ∠A and ∠B are vertical angles

→ By using the rule above

∴ m∠A = m∠B

∵ m∠A = (3x + 26)°

∵ m∠B = (x + 20)°

→ Equate their measures

∴ 3x + 26 = x + 20

→ Subtract x from both sides

∵ 3x - x + 26 = x - x + 20

∴ 2x + 26 = 20

→ Subtract 26 from both sides

∵ 2x + 26 - 26 = 20 - 26

∴ 2x = -6

→ Divide both sides by 2

∵ [tex]\frac{2x}{2}[/tex] = [tex]\frac{-6}{2}[/tex]

∴ x = -3

∴ The value of x is -3

Answer:

V = 0.21

Step-by-step explanation:

subtract 0.07 from the other side to get v alone.

Answer:

solution:7c+5

Answer: x=1/4y + -3/4

Step-by-step explanation:

Answer:

Angle of depression = 3.37°

Step-by-step explanation:

We are told that A plane flies at an altitude of 3.5 kilometers and then starts to descend when it is 60

kilometers from the runway.

I've attached an image of a triangle depicting this question.

From the triangle, we can find the angle of depression θ from trigonometric ratio since it's a right angle triangle.

Thus;

3.5/60 = tan θ

tan θ = 0.0583

θ = tan^(-1) 0.0583

θ = 3.37°

Answer:

On a coordinate plane, a line goes through points (0, 0), (5, 3), (10 ...

Step-by-step explanation:

On a coordinate plane, a line goes through points (0, 0), (5, 3), (10, 6) is

y = 3/5x

and, x y = 3/5

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

Two ratios or fractions are equal when an equation or a declaration to that effect is utilised.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Here the given three points are (0, 0), (5, 3), (10, 6).

So, equation of the line passing through the points (0, 0), (5, 3) is

y- 0/ (x-0)= (3-0)/(5-0)

y/ x = 3/5

y= 3/5x

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Answer:

A.

Step-by-step explanation:

Answer:

Answer is C. (2)

for PLATO

Step-by-step explanation:

A'B' = 2 * AB

Therefore, the dilation factor is 2.

Answer:

B. $5.94

Step-by-step explanation:

Answer:

40, 80, 120

Step-by-step explanation:

0, 40, 80, 120, 160, 200

+40

Answer:

0, 40, 80, 120, 160, 200

Step-by-step explanation:

The numbers are decreasing by 40. 200-160=40. Therefore, we need to subtract 40 each time from every number we get.

160-40=120

120-40=80

80-40=40

Now, plug the numbers into the sequence. It should now look like this:

0, 40, 80, 120, 160, 200

I hope this helps you out!! Have a great day, and if you need any more help, let me know (✿◠‿◠)

Answer:  HCF and LCM of two numbers can be same only if two numbers are equal. Hence their difference will be zero

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

it just is

Answer:

12 sales

Step-by-step explanation:

a and b

65 per sale maximum commision 1300 so no base

40 per sale base 300

Set up equation:

[tex]65x=40x+300[/tex]

Solve:

[tex]25x=300[/tex]

[tex]x=12[/tex]

So they must have had 12 sales.

Hope this helps :D

Answer:

The total cost of the meal was $52.92.

Step-by-step explanation:

Find the amount of tax:

Find the amount of tip:

Add the cost of the meal, tax and tip to find total cost:

Answer:

m=243/4 when v=9.

Step-by-step explanation:

We know that when y varies directly with x², the formula of direct proportion is

where 'k' is the constant of variation.

so

As m varies directly with v², and m=3 when v=2

m=kv²

k=m/v²

 = 3/(2)²

  =3/4

Hence, k=3/4

so when v=9 then the expression becomes

m=kv²

substituting v=9 and k=3/4

m= 3/4(9)²

   =3/4 × 81

    =243/4

Therefore, m=243/4 when v=9.

1b think

I am not sure

Answer:

There is no graph

Step-by-step explanation: