Solve the equation. Type your answer in the box as positive or negative whole number (Examples: 2 -4 6 -8)

-6n - 5 = 31

Answer:

A

Step-by-step explanation:

We are given two functions:

[tex]\displaystyle f(x)=\frac{x-16}{x^2+6x-40}\text{ and } g(x)=\frac{1}{x+10}[/tex]

And we want to find:

[tex]f(x)+g(x)[/tex]

Thus:

[tex]\displaystyle =\frac{x-16}{x^2+6x-40}+\frac{1}{x+10}[/tex]

We can factor the denominator of the first term:

[tex]\displaystyle =\frac{x-16}{(x+10)(x-4)}+\frac{1}{x+10}[/tex]

In order to add the two terms, we must have a common denominator. To achieve this, we can multiply to second term by (x - 4). Therefore:

[tex]\displaystyle =\frac{x-16}{(x+10)(x-4)}+\frac{1}{x+10}\Big(\frac{x-4}{x-4}\Big)[/tex]

Multiply:

[tex]\displaystyle =\frac{x-16}{(x+10)(x-4)}+\frac{x-4}{(x+10)(x-4)}[/tex]

Combine:

[tex]\displaystyle =\frac{(x-16)+(x-4)}{(x+10)(x-4)}[/tex]

Simplify:

[tex]\displaystyle =\frac{2x-20}{(x+10)(x-4)}[/tex]

We can expand the denominator:

[tex]\displaystyle =\frac{2x-20}{x^2+6x-40}[/tex]

Therefore, our answer is A.

Answer:

A

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

guessed the answer

that was the easiest

Answer:

y = 35x + 200

Step-by-step explanation:

It's 35 per month (x) and you add the start no matter what so that's the 200.

Answer:

8 liters

Step-by-step explanation:

If the sum of 2 + x = 10,

then you subtract 10 - 2 = x,

to get x = 8

Answer:

C

Step-by-step explanation:

The strip patterns new image and pre image orientation are vertical so anything that has horizontal translation in it is wrong

Answer:

y=(2,1)

z=( 1,7)

Step-by-step explanation:

Because from their original point you would have to count to the left four unit and up two units

x=14

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Answer:

Step-by-step explanation:

a.

$20,123.54

c.

$21,785.00

b.

$20,944.56

Answer:

x= 1.25    y = 1.75

Step-by-step explanation:

8/5 = 10/ (5+x)

Cross multiplucation

 8(5+x) = 5x10

40 + 8x = 50

8x = 10

x = 1.25

          8/7  =  10/ (7+y)

           Cross multiplication

        8(7+y) = 10x7

          56+8y = 70

          8y =  14

             y = 1.75

Answer:

Step-by-step explanation:

5%×g= 5g/100

g-5g/100

Answer:

$2250

$2430

Step-by-step explanation:

If the seller made a profit of 20%, it means he sold the television at a price that is 20% higher than the cost price. That means that the sales price is 1.2 times higher than the cost price

let t = cost price of the television

the following equation can be derived

1.2 x t = $2700

divide both sides by 1.2

t = $2250

If there is a 10% discount, the television is (100 - 10%) 90% cheaper

0.9 x 2700 = $2430

Answer:

0 - r = the graph shifts r units left

Step-by-step explanation:

When you have 2 x intercepts of 0, -r then you shift left to negative

Answer:

1. 1 burger takes 4 minutes

2. 1 painting takes 4 days

Step-by-step explanation:

Answer:   -3

Step-by-step explanation:

-4x  - 10 < 2

-4x < 12

x > -3

Answer:

The symbol for absolute value is two vertical lines. Since opposites are the same distance from the origin, they have the same absolute value. For example, the absolute value of "negative 10" is ten, and the absolute value of "positive 10" is also 10.

:))

Answer: x/10

Step-by-step explanation:

the quotient of the opposite of a number and negative ten

Well

The opposite of a number is -x

And negative ten is written as -10

now we need the quotient of -x and -10

If you were asked the quotient of 10 and 2 it would be 10÷2 or 5

So the quotient of -x and -10 would be [tex]\frac{-x}{-10} = \frac{x}{10}[/tex]

Answer:

option d. 6/10

.....................

Answer:

it would have to be 3/5 i think but i actually think option 1 or 4

Step-by-step explanation:

Answer:

y = -3x + 5

Step-by-step explanation:

To graph a linear equation in slope-intercept form, we can use the information given by that form. For example, y=-3x + 5 tells us that the slope of the line is -3 and the y-intercept is at (0,5). This gives us one point the line goes through, and the direction we should continue from that point to draw the entire line.

Answer:

3X+8 IS THE ANSWER FOR EQUATION

26 IS 2ND ANSWER

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Answer:

4 ampers

Step-by-step explanation:

WHEN 12 VOLTS ARE APPLIED, THE CURRENT IS 4 AMPERES.

The current when 29 volts are applied is; 4.14 amperes.

According to the question;

The electric current I, in amperes, in a circuit varies directly as the voltage V.

In essence;

I/V = constant.

Therefore;

I1/V1 = I2/V2

where;

Therefore; we have;

By cross product;

I2 = 4.14 amperes.

In conclusion, the current when 29V voltage is applied is; 4.14 amperes.

Read more:

https://brainly.com/question/11694798

Answer:

1.375 or 1 and 3/8

Step-by-step explanation:

55 divided by 20 is 2.75. Then multiply 2.75 by 1/2

Answer:

B'C' = 2 units

Step-by-step explanation:

The dilation performed makes ∆A'B'C' (sketched flag) similar to ∆ABC (actual flag).

Given that, A'B' = 8 units, AB = 24 ft, and BC = 6 ft, therefore:

A'B'/AB = B'C'/BC

Substitute

8/24 = B'C'/6

Cross multiply

24*B'C' = 8*6

24*B'C' = 48

B'C' = 48/24

B'C' = 2 units

Answer:

To find the x-intercept, substitute in  0  for  y  and solve for  x . To find the y-intercept, substitute in  0  for  x  and solve for  y .

x-intercept(s): (18,0)

y-intercept(s): (0,-3)

Step-by-step explanation:

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Answer:

x = 2

Step-by-step explanation:

x * 3 = 6 → is your equation to solve for x

x = [tex]\frac{6}{3}[/tex]

x = 2

Answer:

Distance between the two planes after 1 hour = 410 miles

Step-by-step explanation:

Given - A plane leaves and flies due north at 280 miles per hour. At

            the same time another plane takes off from the same airport

            and flies due east at a speed of 300 miles per hour.

To find - What is the distance between the two planes after 1 hour ?

Proof -

Given that , Plane 1 flies due north at a speed of 280 miles per hour.

So,

Total distance traveled in 1 hour = 280 miles

Also,

Plane 2 flies due east at a speed of 300 miles per hour.

So,

Total distance traveled in 1 hour = 300 miles.

The diagram is as follows :

Now,

We have to find the distance after 1 hour i.e. AC

In Triangle ABC ,

By using Pythagoras theorem, we get

AC² = BC² + AB²

⇒AC² = (300)² + (280)²

⇒AC² = 90,000 + 78,400

⇒AC² = 168,400

⇒AC = √168,400

⇒AC = 410.366 ≈ 410

∴ we get

Distance between the two planes after 1 hour = 410 miles

Answer:

Total pigs in the farm = 15

Total chickens in the farm = 25

Step-by-step explanation:

Given - Chickens and pigs are raised on a farm. Between the two classes

             of animals there are 40 heads and 110 legs.

To find - How many animals are there of each class?

Proof -

Given that , there are two types of animals - Chicken and pigs.

Let Chicken is represented by c

      Pigs are represented by p

Given , there are 40 heads and 110 legs.

As we know that both chicken and pigs has 1 head

⇒1c + 1p = 40

⇒c + p = 40                 .........(1)

Also, we know

Chicken has 2 legs whereas pigs have 4 legs

⇒2c + 4p = 110

Divide the whole equation by 2, we get

⇒c + 2p = 55                 .............(2)

∴ we get

c + p = 40                 .........(1)

c + 2p = 55                 .............(2)

subtract equation (1) from equation (2) , we get

c + 2p - ( c+ p) = 55 - 40

⇒c + 2p - c - p = 15

⇒p = 15

Now,

Put the value of p in equation (1), we get

c + 15 = 40

⇒c = 40 - 15

⇒c = 25

∴ we get

c = 25

p = 15

So, Total pigs in the farm = 15

Total chickens in the farm = 25

Answer:

21.5 feet.

Step-by-step explanation:

Calculate the length of a curved edge.

s =  

m

360

  · 2πr Use the formula for arc length.

=  

90

360

  · 2π(3) Substitute 3 for r and 90 for m.

= 1.5π Simplify.

Let t be the length of the cut encompassing the tray.

t = 2 · 1.5π + 2 · 6

= 3π + 12 Simplify.

≈ 21.5 ft Use a calculator to evaluate. Then round your answer to the nearest half foot.

The length of the cut encompassing the tray is 21.5 feet.

Answer:

11.3(7)+10.7(8)=79.1+85.6

=164.7