Express 700 as a product of its prime factors in index form.
Write the prime factors in ascending order.

Answer:

When we have a rational function like:

[tex]r(x) = \frac{x + 1}{x^2 + 3}[/tex]

The domain will be the set of all real numbers, such that the denominator is different than zero.

So the first step is to find the values of x such that the denominator (x^2 + 3) is equal to zero.

Then we need to solve:

x^2 + 3 = 0

x^2 = -3

x = √(-3)

This is the square root of a negative number, then this is a complex number.

This means that there is no real number such that x^2 + 3 is equal to zero, then if x can only be a real number, we will never have the denominator equal to zero, so the domain will be the set of all real numbers.

D: x ∈ R.

b) we want to find two different numbers x such that:

r(x) = 1/4

Then we need to solve:

[tex]\frac{1}{4} = \frac{x + 1}{x^2 + 3}[/tex]

We can multiply both sides by (x^2 + 3)

[tex]\frac{1}{4}*(x^2 + 3) = \frac{x + 1}{x^2 + 3}*(x^2 + 3)[/tex]

[tex]\frac{x^2 + 3}{4} = x + 1[/tex]

Now we can multiply both sides by 4:

[tex]\frac{x^2 + 3}{4}*4 = (x + 1)*4[/tex]

[tex]x^2 + 3 = 4*x + 4[/tex]

Now we only need to solve the quadratic equation:

x^2 + 3 - 4*x - 4 = 0

x^2 - 4*x - 1 = 0

We can use the Bhaskara's formula to solve this, remember that for an equation like:

a*x^2 + b*x + c = 0

the solutions are:

[tex]x = \frac{-b +- \sqrt{b^2 - 4*a*c} }{2*a}[/tex]

here we have:

a = 1

b = -4

c = -1

Then in this case the solutions are:

[tex]x = \frac{-(-4) +- \sqrt{(-4)^2 - 4*1*(-1)} }{2*(1)} = \frac{4 +- 4.47}{2}[/tex]

x = (4 + 4.47)/2 = 4.235

x = (4 - 4.47)/2 = -0.235

Answer:

the answer is yes

Step-by-step explanation:

k(3)=5(3)-3

k(3)=15-3

k(3)=12

12 is the answer

Answer:

-7 - 12e - 9

I’m not sure what your asking for but that’s the simplified version of that’s what your looking for. And from there you can get the answer by simplifying the one I gave you which would give you

-12e - 16 ;)

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

If you replace x with the given answers, the only one that would make both answers the same is 8

Answer:

8

Step-by-step explanation:

7x - 4 = 5x + 12

7x - 5x - 4 = 5x - 5x + 12

2x - 4 = 12

2x - 4 + 4 = 12 + 4

2x = 16

2x/2 = 16/2

x = 8

Answer: 5

Step-by-step explanation:

1.  1 + 4 + 4 + 6 + 10 = 25

2. ​25/5 (divide by the amount of numbers)

Answer:

5

Step-by-step explanation:

First, add up all of the numbers.

1 + 4 + 4 + 6 + 10 = 25

Then count how many there are.

5

Lastly, divide the sum by the number of numbers.

25/5 = 5

This will give you your answer.

Hope this helped!

Answer:

Step-by-step explanation:

Answer:

The midpoint of the line segment whose endpoints are (-2, 5) and (6, -9) is: (2,-2)

Step-by-step explanation:

Given two points are:

(-2, 5) and (6, -9)

The mid-point is the point that divides a line segment in two equal parts.

Let M be the mid-point then

[tex]M(x,y) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]

Let

(x1,y1) = (-2, 5)

(x2,y2) = (6, -9)

Putting the values in the formula, we get

[tex]M(x,y) = (\frac{-2+6}{2}, \frac{5-9}{2})\\M(x,y) = (\frac{4}{2}, \frac{-4}{2})\\= (2,-2)[/tex]

Hence,

The midpoint of the line segment whose endpoints are (-2, 5) and (6, -9) is: (2,-2)

Answer:

slope=(Y2-Y1)/(X2-X1)

slope=7/-14= -1/2

please give me brainlest

Answer:

1.01010101 U.S. dollars-1

Step-by-step explanation:

Answer:

$0.99

Step-by-step explanation:

Answer:

Each class receive $85.

Step-by-step explanation:

So what you will be doing is dividing $4,250 and the 50 classes.

Hope this helps or is right at least :)

Answer:

X = 36/17

y = -8/17

Step-by-step explanation:

Since they both equal y, you could use them equal to each other.

(5/2)x-4=(-1/3)x+2

Then solve for x by combining like terms. X should be 36/17. Plug in x to find y in one of the equations. I will use the top one. (5/3)(36/17)-4=y. That should simplify down to (60/17)-4=y. Y would finally equal -(8/17).

Answer:

What the other guy said. I think he is correct.

Step-by-step explanation:

Hey there!

I don't know if it's too late, but oh well: The answer is 108°

Knowing that supplementary angles add up to 180°, and we also know that we have 2 out of 3 of the angle measures, so we can subtract that from 180:

180 - 72 =108°

Have a terrificly amazing day!

Answer:

∡APC = 108°

Step-by-step explanation:

∡ APB = 180°

∡ DPB + ∡ CPB + ∡APC = 180°

∡ BPD and ∡DPC have a sum of 72°

then:

72° + ∡APC = 180°

∡APC = 180° - 72°

∡APC = 108°

Answer:

6

Step-by-step explanation:

D__ is 7.5<x

C is x<10

Step-by-step explanation:

just do the inequality and graph

Answer:

17 years

Step-by-step explanation:

do 85 divided by 5

Answer:

17 years

Step-by-step explanation:

-5 feet = 1 year

To do this you would do:

85 ÷ 5 = 17 years

Hope this helps!

Answer: 16y

Step-by-step explanation: Done this before so easy obviously 16y

Answer:

=y^2 + 15

Step-by-step explanation:

Answer:

-6g

Step-by-step explanation:

Answer:

-3(x+2)-x

-3-2x

Step-by-step explanation:

Answer:

-3-2x

Step-by-step explanation:

Answer:

1 2/14

Step-by-step explanation:

side length1 = x

side length2 = y

2x + 2y = perimeter

2(4x) + 2(4)y = new perimeter

8x + 8y = new perimeter

new perimeter = 4 times the old perimeter

Step-by-step explanation:

Let x be the number of people in the queue, including yourself.

We have 2/3 x + 1 + 3/10 x = x.

=> 29/30 x + 1 = x

=> x/30 = 1

=> x = 30.

Hence there are 30 people in the queue.

Answer:

x=−1/6 and y=0

Step-by-step explanation:

Answer:

There is one solution.

Step-by-step explanation:

x = - 1/6

y = 0

It can be solved simultaneously

6x - y = -1

6x + y = -1

Subtract equation two from equation one

-2y = 0

Divide both sides by-2

y = 0/-2

y = 0

Substitute 0 for y in either of the equations to get x

6x - 0 = -1

6x = -1

Divide both sides by 6

x = -1/6

Answer:

m=-1x+1

Step-by-step explanation:

uhh i lookedmup the answer

Step-by-step explanation:

4x/3=11/7

4x=11×3/7?

4x=33/7

4x=4.7

x=4.7/4

x=1.175

please mark mean as brilliant brainliest

Answer:

Step-by-step explanation:nfnfnfnfn