Divide r+5/ r^2+5r-14 by r^2+4-21/r-2

Answers

Answer 1

Answer: So we want to divide $(r+5)/(r^2+5r-14)$ by $(r^2+4r-21)/(r-2)$ .
The first thing we are going to do is factor the denominator of the first fraction and the denominator of the second one:
- For our first fraction:
$r^2+5r-14=(r+7)(r-2)$
Now we can rewrite our first fraction:
$(r+5)/(r^2+5r-14) = (r+5)/((r+7)(r-2))$
- For our second fraction:
$r^2+4r-21=(r+7)(r-3)$
Now we can rewrite our second fraction:
$(r^2+4r-21)/(r-2) = ((r+7)(r-3))/(r-2)$

Last but not least, we can express our division as a fraction and simplify:
$((r+5)/((r+7)(r-2)))/( ((r+7)(r-3))/(r-2)) = ((r+5)(r-2))/((r+7)(r-2)(r+7)(r-3)) = (r+5)/((r+7)^2(r-3))$

We can conclude that the result of dividing r+5/ r^2+5r-14 by r^2+4r-21/r-2 is: $(r+5)/((r+7)^2(r-3))$

The measure of arc ABC is 283°.

Step-by-step explanation:

We know that the whole arc is equal to 360°, that means

$AC+AB+BC=360$

Where $AC=7y-7$ , $AB=4y+6$ and $BC=20y-11$ . Replacing these expressiones, we have

$7y-7+4y+6+20y-11=360\n31y-12=360\n31y=360+12\ny=(372)/(31)\ny=12$

But, arc ABC is defined by the sum of arcs AB and BC:

$ABC=AB+BC=4y+6+20y-11=24y-5=24(12)-5=283$

Therefore, the measure of arc ABC is 283°.

Answer:

Arc measure of ABC is 283°

Step-by-step explanation:

We know the total angle of the circle is 360°.

Therefore,

(20y - 11) + (4y +6) + (7y - 7) = 360°

Collecting like terms, we have:

20y + 4y + 7y = 360 + 7 - 6 + 11

31y = 372

Let's divide both sides by 31.

$(31y)/(31) = (372)/(31)$

y = 12

The arc measure of ABC is the sum of AB and BC. To find the arc measure of ABC, we have:

(4y +6) + (20y - 11)

Collecting like terms, we have:

4y + 20y + 6 - 11

24y - 5

Let's substitute 12 for y

24(12) - 5

288 - 5 = 283°

Arc measure of ABC is 283°

I did 70 jumping jacks in 1 minute.Which is the dependent variable? Which is the independent variable?

Write an equation that represents the relationship between the time you spent doing the activity and the amount of the activity you completed.

Answers

Answer:

in jh ynhtym

hunt ghb JBL iggmmjuu ki ju nu j

The four hand of a clock moves from 12 to 5 o'clock through how many degrees does it move?

Answers

to find the answer you have to first find how many degrees are there in between each number in the clock. the clock is 360°degrees and there are 12 numbers marked in a clock., so you have to divide 360 by 12 to get the number of degrees in between each number,
360°÷12=30° so there are 30°degrees between each number.

if a clock hand moves from 12 to 5, it pass 5 numbers, so to get your final answer you have to multiply 30° by 5=150°.

so your answer is 150°degrees.
hope you can understand what i said. :)

How does a quadratic function differ from that of a linear or exponential

Answers

Hello,

A linear function is a polynomial function of degree 1
(1,2,3,4,5,6,....)
A quadratic function is a polynomial function of degree 2
(1,4,9,16,25,49,64,81,...)
A exponential function is not a polynomial function (we may imagine a infinity degree)
(1,2,4,8,16,32,64,128,256,512,1024,...)

The demand d for a companys product cost x is predicted by the function d(x) = 500-2x. The price p in dollars that the company can charge for the product is given by p(x)=x+5

Answers

Answer:

Step-by-step explanation:

The Break Even point is the point at which the cost=revenue

14,980+20x=30x

14,980=10x

1,498=x

a. 1,498 units must be sold to break even. At $20 per unit, the dollar amount will be $29,960

b. The profit function is P(x)=R(x)-C(x)

So P(x)=30x-(14,980+20x)

If you want to solve for this equation just enter the value of x we found for the break even point to get the answer.

Final answer:

The student is given two functions, d(x) = 500-2x and p(x) = x+5, which represent the demand and price, respectively, of a company's product. To find the relationship between price and quantity, we can substitute the demand function into the price function.

Explanation:

The subject of this question is Mathematics. The student is given two functions, d(x) = 500-2x and p(x) = x+5, which represent the demand and price, respectively, of a company's product. To find the relationship between price and quantity, we can substitute the demand function into the price function:

p(x) = x + 5 = d(x) + 5 = (500 - 2x) + 5 = 505 - 2x

So the price can be represented by the equation p(x) = 505 - 2x.