Find an equation that meets the conditions p varies inversely as d, and p= 7 when d = 2.

Answer:

Option (2).

Step-by-step explanation:

Let f(x) and g(x) are the two functions with domain A and B.

Then (fg)(x) will be the function with domain A∩B

(fg)(x) = f(x)g(x)   Domain : A∩B

In this question two functions are,

c(x) = [tex]\frac{5}{(x-2)}[/tex] and d(x) = (x + 3)

Domain : (x - 2) > 0 ⇒ x > 2

              and (x - 2) < 0 ⇒ x < 2

Or domain of (cd)(x) will be C = (-∞, 2)∪(2, ∞).

Similarly, d(x) = x + 3

Domain : All real numbers

             : D = (-∞, ∞)

(cd)(x) = c(x)d(x)

          = [tex]\frac{5}{(x-2)}\times (x+3)[/tex]

Domain of (cd)(x) will be,

Domain : C∩D = (-∞, 2)∪(2, ∞) ∩ (-∞, ∞)

             : (-∞, 2) ∩ (2, ∞)

Therefore, domain of (cd)(x) will be all real values except 2.

Option (2) will be the answer.

Answer:

The range of the box plot is 10.

Step-by-step explanation:

To find the range subtract the highest value to the lowest value.

Since 13 is the highest and 3 is the lowest the answer is 10

Hope this helps.

Answer:

x= -8    x=2

Step-by-step explanation:

x^2 +6x-6= 10

Subtract 10 from each side

x^2 +6x-6-10= 10-10

x^2 +6x-16 = 0

What 2 number multiply to -16 and add to 6

8 * -2 = -16

8 -2 = 6

(x+8) (x-2)=0

Using the zero product property

x+8=0  x-2=0

x= -8    x=2

Answer:D

Step-by-step explanation:

Answer:

(-5,4)

Step-by-step explanation:

A: (5,4)

Reflect it across the y axis would mean you negate the x value

So if you reflect it across the y axis, 5 would become -5

Answer:

B

(-5,4)

Step-by-step explanation:

square 1 (+,+) square 2 (-,+) square 3 (-,-) square 4 (+,-) Find the coordinates is (5,4) but reflect the y-axis so it goes to square 2 where the x-axis turns in to a negative

Answer:

0.6     is the answer

Step-by-step explanation:

Answer:

[tex]3[/tex] Miles

Step-by-step explanation:

[tex]1.8^2+2.4^2=c^2[/tex]

[tex]9=c^2[/tex]

[tex]9-c^2=c^2-c^2[/tex]

[tex]-c^2+9=0[/tex]

[tex]-c^2+9-9=0-9[/tex]

[tex]-c^2=-9[/tex]

[tex]\frac{-c^2}{-1} = \frac{-9}{-1}[/tex]

[tex]c^2=9[/tex]

[tex]c=+\sqrt{9}[/tex]

[tex]c=3[/tex]

Answer:

[tex]3.1[/tex]

Step-by-step explanation:

Range = biggest no. - smallest no.

Range = [tex]6.3-3.2[/tex]

Range = [tex]3.1[/tex]

Answer:

3.1

Step-by-step explanation:

Range is the difference between the highest and the least number in a set.

Out of all the numbers given, 6.3 is the highest and 3.2 is the least. When, I found the difference of those two numbers, the difference was 3.1. :)

Step-by-step explanation:

[tex]cylinder \: area \: = (2 \times \frac{\pi}{4} \times {dia}^{2} ) + (\pi \times dia \times hieght) \\ = (2 \times \frac{\pi}{4} \times {3.8}^{2} ) + (\pi \times 3.8 \times 12.7) \\ = 22.7 + 151.5 \\ = 174.2 \: {m}^{2} [/tex]

Answer:  12.56 / 4 = 3.1416 =9.4248

Step-by-step explanation: pi by the 2 squared gives u the area of all the circle but u need to fin 3/4 of the circle so divide by 4 and the result of the dividion x 3 gives u the answer

Answer:

8/20

Step-by-step explanation

boys left handed=3

boys right handed=9

girls left handed=2

girls right handed=6

what is the probability that a student chosen from random is a girl? give answer as a fraction please and include step by step process

girls left handed: 2

girls right handed: 6

6+2=8

total all students 20

8/20

Answer:

A. 0

Step-by-step explanation:

y= mx+b

with same slope, m= same for both

if b  is different, then the lines are parallel

so no solution, option A. 0

Answer: See the explanation to understand.

Step-by-step explanation:

Well first off you have to understand the area concept. The area is shown on the grid clearly fir the square, 4cm (2x2). Now it might be a little tricky for the triangle but don’t worry, take it slowly, count the areas of the base of the triangle, the correct answer for that is 2cm so the base of the triangle is 2cm. Now go to highest point of the triangle and count down all the way to the base. The number you should get is 4. So now we know that the base is 2cm and the height is 4cm. Using the triangle Area formula which is base times height divided by two: bh/2 , substituting the values we have 2x4 is 8. 8 divided by two is 4cm. Now we know that the areas are the same by checking using the formula.

Hope this makes sense!

Answer:

A

Step-by-step explanation:

since the radius is 12, the most the circle expands out towards is 15 for x and 15 for y. (-6,-5) easily fits inside it.

Answer:

(-8,7)

Step-by-step explanation:

5x+9y=23

-2x+y=23

 Step 1. When looking at the equation you need to find out what method you must use and a good way to find out if you use subtraction is to look for a variable of 1

just like -2x+y=23 has the variable 1y

 Step 2. solve for y in the second equation

-2x+y=23

+2x       +2x

y=2x+23

Step 3. rewrite your equation

5x+9y=23

y=2x+23

 Step 4. replace your y variable with the expression you just made

5x+9(2x+23)=23

Step 5. Distribute the 9 and solve

5x+18x+207=23

23x+207=23

23x=-184

x=-8

Step 6. enter your x value into the equation you solved in step one

y=2(-8)+23

y=-16+23

y=7

Step 7. determine if consistent or inconsistent

Because you have a x and y you have an consistent

...you can also graph it

Answer:

[tex]x=z-\sqrt{-y} , or, x^2=z^2-y^2\\y=z-\sqrt{-x}, or, y^2=z^2-x^2[/tex]

Step-by-step explanation:

I can't do much except put the Pythagorean theorem in terms of y or x.

All I did was isolate x or y by subtracting the, x or y variable from each side.

[tex]-(y^2)+x^2 +y^2=z^2-(x^2)\\-(y^2)+x^2 +y^2=z^2-(y^2)[/tex]

Which tuns it into:

[tex]x^2=z^2-y^2\\y^2=z^2-x^2[/tex]

And I isolated further by squaring each side, but squaring negative number is difficult and causes imaginary numbers so I just think it should stay as all of them to the power of two.

Answer:77

Step-by-step explanation:

6*12+5

72+5

77

the answer is simply 77

Answer:

5 1/2 cups

Step-by-step explanation:

1 pint = 2 cups

(2 1/2)(2) = 5

5 + 1/2 = 5 1/2

Answer:

Six over Seven

Step-by-step explanation:

Answer:

six sevenths

Step-by-step explanation:

6/7 in words is six sevenths

Horizontal translation: 2 units right.

Vertical translation: 5 units up

Stretch/compression: stretched by a factor of 3.

Reflection: not reflected.

Answer:

p = 13

Step-by-step explanation:

When a polynomial f(x) is divided by (x + h) then the remainder is f(- h)

Here both polynomials are divided by (x + 1)

Evaluate them both for x = - 1

3(- 1)³ - 5(- 1)² - 4(- 1) + p, that is

- 3 - 5 + 4 + p

= p - 4 → A

6(- 1)³ + p(- 1)² + 9(- 1) + 5, that is

- 6 + p - 9 + 5

= p - 10 → B

Given that A = 3B, then

p - 4 = 3(p - 10)

p - 4 = 3p - 30 ( subtract 3p from both sides )

- 2p - 4 = - 30 ( add 4 to both sides )

- 2p = - 26 ( divide both sides by - 2 )

p = 13

Answer:

it is worked out that if 5 ladles full soup are given to each person 300 at a time

Answer:

90 people

Step-by-step explanation:

Let's find the total number of ladels of soup.

1 person ----- 3 ladles

150 people ----- 3 ×150= 450 ladles

The amount of soup cooked does not change. Since now more soup is given to each person, the number of customers fed would decrease.

Number of people fed

= 450 ÷5

= 90

Answer:

Step-by-step explanation:

First one is 7, since there is a minus sign by k, shifting the line 0.5x seven units down

the second one is too confusing due to spacing to find the answer

Answer:

the person that answer is correct

Step-by-step explanation:

Answer:

y = mx + b equals y = the slope of the line(x) + the y-intercept

First find the slope of the line using rise/run, which is 12/-2 so the slope is -6

To find the y-intercept, you need to look for the point where x = 0 (or the point that lies on the y-axis), which is when y = -4 so the equation is:

y = -6x - 4

Answer:

Step-by-step explanation:

Just plug in 6 as x.

[tex]f(6)=2(6)^2+\sqrt{5} *(6-2) \\or\\f(6)=2(6)^2+\sqrt{5(6-2)}[/tex]

Depending on how the equation is written (I got confused so I gave both answers of what I thought both versions were) this is the answer.

[tex]72+4\sqrt{5} =2(6)^2+\sqrt{5} *(6-2) \\or\\72+2\sqrt{5} =2(6)^2+\sqrt{5(6-2)}[/tex]

Answer:

2(n²)+5n-3

Step-by-step explanation:

4,15,30,49,72,99,130

1st you find the difference between the numbers: (e.g. difference between 4 and 15 is 11)     11,15,19,23,27,31 Then you find the second difference between them.     4,4,4,4,4,4

If you divide the second difference by 2, you will get the value of a. 4 ÷ 2 = 2

So the first term of the nth term is 2n²

Then you have to do what do you do to get from 2n² to 4,15,30,49,72,99,130

Answer:

x = -5/3 and y = -1

Step-by-step explanation:

write it as a system and simplify

-4 for the first equation (in the photo but when putting it into a system of equations it would be 2nd)

So it's

-3x-2y=7

-3x+2y=3

then it's -6x=10

then divide oth sides by -6 to get x then plug that into whatever equation and solve for y.

i hope this is right and helps