Let p=x^2+6. Which equation is equivalent to (x^2 + 6)^2 - 21 = 4x^2 + 24 in terms of p?​

Answers

Answer 1

Answer:

p^2-4p-21=0

Step-by-step explanation:

Where you see (x^2 + 6) you put in p.

p 2  - 21 = 4 ( x 2 + 6 )

p 2 - 21 = 4p

p 2 - 4p - 21 = 0

:)


Related Questions

Set Question involving real and natural numbers

Answers

Only two real numbers satisfy x² = 23, so A is the set {-√23, √23}. B is the set of all non-negative real numbers. Then you can write the intersection in various ways, like

(i) A ∩ B = {√23} = {x ∈ R | x = √23} = {x ∈ R | x² = 23 and x > 0}

√23 is positive and so is already contained in B, so the union with A adds -√23 to the set B. Then

(ii) A U B = {-√23} U B = {x ∈ R | (x² = 23 and x < 0) or x ≥ 0}

A - B is the complement of B in A; that is, all elements of A not belonging to B. This means we remove √23 from A, so that

(iii) A - B = {-√23} = {x ∈ R | x² = 23 and x < 0}

I'm not entirely sure what you mean by "for µ = R" - possibly µ is used to mean "universal set"? If so, then

(iv.a) Aᶜ = {x ∈ R | x² ≠ 23} and Bᶜ = {x ∈ R | x < 0}.

N is a subset of B, so

(iv.b) N - B = N = {1, 2, 3, ...}

31,807 = 81 =
Remainder:

Answers

Answer:

Answer: (31807/81) ÷ 2 = 196.339506173

Step-by-step explanation:

Math answers to division of fraction 31807/81

31807 81 = 392.679012346

392.679012346 = 3926.79012346 to the nearest tenth

392.679012346 = 392.68 to the nearest hundredth

392.679012346 = 392.679 to the nearest thousandth

= 0 to the nearest tenth

= 0 to the nearest hundredth

= 0 to the nearest thousandth

Other Divisions Math homework are

31807 divide by half plus 20

Homework answers: (31807/2) + 20 = 15923.5

31807 divide by half plus 40

Homework answers: (31807/2) + 40 = 15943.5

31807/81 divided by 2

Answer: (31807/81) ÷ 2 = 196.339506173

HELP ME OUT PLEASE!!!

Which equation matches the function described in the table?

A) y = 4x

B) y = x + 1

C) y = x + 5

D) y = 4x - 1​

Answers

Answer:

D) y= 4x - 1

Step-by-step explanation:

We are basically trying to see which of the equations provided are true on both sides of the equal sign when you plug in the x and y values.

Let's start!

Choice A:

  plug in 0 for x and -1 for y

-1 = 4(0)

And you are left with...

-1 = 0

This equation is false! Therefore it does not match the function in the table

Choice B:

   plug in the values again

-1 = 0 + 1

-1 = 1

False!

Choice C:

-1 = 0 + 5

-1 = 5

False!

Lastly...Choice D:

-1 = 4(0) -1

Multiply 4 and 0 which is 0, so you are left with...

-1 = -1

This equation is true!!

So your answer is D

Hope this helps :D

How many lumps of wax 22 cm by 2 cm by 1 cm can be cut from a block 25 cm by 20 cm by 15 cm?

Answers

Answer:

To get least possible number of cubes, first find the HCF of 6, 12 and 15

HCF of 6, 12 and 15 = 3

Least possible number of cubes = (6/3)×(12/3)×(15/3)

=2 × 4 ×5

= 40

Can someone plsss help me

Answers

Answer:

y = -5/3 x + 40

Step-by-step explanation:

The general form is y = ax + b, where a is the slope and b is the y intercept.

So immediately you can see that b must be 40, since the line crosses the y axis at 40.

The slope can be calculated by finding two "nice" points on the line that are also grid lines.

How about (0,40) and (6, 30).

Then, calculate the slope by dividing the y difference by the x difference:

(30-40)/(6-0) = -10/6 = -5/3

So C must be the answer.

It’s for pre college

Answers

Answer:

Not a function

Step-by-step explanation:

If you need an explanation to the other response:

A function does not have two different y values for one x value. According to the given points we see that at x=-1 y has two values (6 and -8). Therefore, it is not a function.

Which are shown on the diagram? Check all that apply.

Answers

LJK and mj and jk is the correct answer

Answer:

B C. F

Step-by-step explanation:

Jax Incorporated reports the following data for its only product. The company had no beginning finished goods inventory and it uses
absorption costing
Sales price
$ 57.50 per unit
Direct materials
$ 10.50 per unit
Direct labor
$ 8.00 per unit
Variable overhead
$ 12.50 per unit
Fixed overhead
$ 1,237,500 per year
1. Compute gross profit assuming (a) 75,000 units are produced and 75,000 units are sold and (b) 110,000 units are produced and
75,000 units are sold.
2. By how much would the company's gross profit increase or decrease from producing 35,000 more units than it sells?
Answer is complete but not entirely correct.
Complete this question by entering your answers in the tabs below.
Required 1
Required 2
Compute gross profit assuming (a) 75,000 units are produced and 75,000 units are sold and (b) 110,000 units are produced
and 75,000 units are sold.
(a) 75,000 Units (b) 110,000 Units
Produced and
Produced and
75,000 Units Sold 75,000 Units Sold
Sales
4,312,500
4,312,500

Answers

The gross income or profit of the company is the difference between the

total revenue and the cost of items produced.

The values for the gross profits are;

(a) $750,000(b) $ -335,0002. The profit of the would decrease by $1,085,000

Reasons:

The gross profit is given by the equation;

Gross profit = Net revenue - Cost of items sold

The net revenue for 75,000 units = $57.50 × Sales price per unit

∴ The net revenue for 75,000 units = $57.50 × 75,000 = $4,312,500

Cost of production = 75,000 × Per unit cost of Materials plus Labor plus variable overhead + Fixed overhead

Cost of production = 75,000 × (10.50 + 8.00 + 12.50) + 1,237,500 = 3,562,500

The cost of producing 75,00 units per year = $3,562,500

Gross profit = $4,312,500 - $3,562,500 = $750,000

(b) When the number of units produced = 110,000, we have;

Cost of production = 110,000 × (10.50 + 8.00 + 12.50) + 1,237,500 = 4,647,500

Gross profit = $4,312,500 - $4,647,500 = $ -335,000 (a loss of 335,000)

2. By producing 35,000 units more than it sells, we have;

Cost > Revenue, therefore, the gross profit decreases

Let, X, represent the number of units sold, we have;

The number of units produced = X + 35,000

Which gives;

Cost of production = (X + 35,000) ×  (10.50 + 8.00 + 12.50) + 1,237,500 =

31·X + 2,322,500

Net revenue = X × 57.50 = 57.50·X

The profit =  57.50·X - (31·X + 2,322,500) = 26.5·X - 2,322,500

When X = 75,000, we have;

Gross profit = 26.5 × 75,000 - 2,322,500 = -335,000

Therefore;

The gross profit will decrease by 750,000 - (-335,000) = 1,085,000

The gross profit of the company will would decrease by $1,085,000, if it

sells 75,000 units and produces 110,000, which is 35,000 more units than

is sells.

Learn more here:

https://brainly.com/question/21776821

at the fish market, a whole fish costs $4.20. If the body costs $1 more than the tail, and the body costs $2 more than the head, how much does the head cost?

Answers

Answer:

$ 0.4

Step-by-step explanation:

if we assume head costs $ x then,

body will cost $x + 2 (2 more than head)

and tail will cost $x+1

x+x+2+x+1 = $ 4.20

or, 3x = 4.20-3

or, x= 1.20/3

therefore, x=0.4

Answer:

$ 0.4

Step-by-step explanation:

the indicated probabilities using the geometric​ distribution, the Poisson​ distribution, or the binomial distribution. Then determine if the events are unusual. If​ convenient, use the appropriate probability table or technology to find the probabilities. The mean number of births per minute in a country in a recent year was about seven. Find the probability that the number of births in any given minute is​ (a) exactly six​, ​(b) at least six​, and​ (c) more than six. ​(a) P(exactly six​)= enter your response here ​(Round to four decimal places as​ needed.)

Answers

Using the Poisson distribution, it is found that the probabilities are:

a) 0.149

b) 0.6993

c) 0.5503

We are given only the mean, hence, the Poisson distribution is used.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

The parameters are:

x is the number of successes e = 2.71828 is the Euler number [tex]\mu[/tex] is the mean in the given interval.

The mean is of 7 births per minute, hence [tex]\mu = 7[/tex].

Item a:

The probability is P(X = 6), hence:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

[tex]P(X = 6) = \frac{e^{-7}(7)^{6}}{(6)!} = 0.149[/tex]

Item b:

This probability is:

[tex]P(X \geq 6) = 1 - P(X < 6)[/tex]

In which:

[tex]P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)[/tex]

Following the logic used in item a to find each probability, we have that [tex]P(X < 6) = 0.3007[/tex], hence:

[tex]P(X \geq 6) = 1 - P(X < 6) = 1 - 0.3007 = 0.6993[/tex]

Item c:

This probability is:

[tex]P(X > 6) = 1 - P(X \leq 6)[/tex]

[tex]P(X \leq 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)[/tex]

We have that [tex]P(X \leq 6) = 0.4497[/tex], hence:

[tex]P(X > 6) = 1 - P(X \leq 6) = 1 - 0.4497 = 0.5503[/tex]

A similar problem is given at https://brainly.com/question/16912674

I need help! Does anyone understand?

Answers

Answer:

the answer should be G or H

Taryn mowed 9 yards and makes $112.50. How much does Taryn charge
to mow one yard?

Answers

12.50$ cause if you do 112.50/9 it equals 12.5

Mrs.Peterson dropped a ball from the top of a tower. At the same time, her son, Drake, launches a rocket from a different level of the tower.
The height of the tennis ball in feet after t seconds can be represented by the quadratic function: b(t)=-t^2-2t+26.
The height of Drakes rocket after t seconds can be represented by the linear function: p(t)=-2t+10.
What are the two solutions to this system? Show your work.
Explain which solution is not reasonable in this situation.
After how many seconds do the rocket and the ball reach the same height.

Answers

9514 1404 393

Answer:

two solutions: t = -4, t = 4t = -4 is not reasonable4 seconds

Step-by-step explanation:

A graphing calculator shows the two solutions to be ...

  (t, h) = (-4, 18) and (4, 2)

__

The two heights will be equal when ...

  p(t) = b(t)

  -2t +10 = -t^2 -2t +26

  t^2 -16 = 0 . . . . subtract the right side expression

  (t -4)(t +4) = 0 . . . factor the difference of squares

  t = 4 or -4 . . . . values of t that make the factors zero

At these times, the heights will be ...

  p(t) = -2{4, -4} +10 = {-8, 8} +10 = {2, 18}

The solutions are ...

  (t, height) = (-4, 18) and (4, 2).

__

We generally discount solutions for negative time, because we start counting time when the objects are launched. t = -4 is an extraneous solution.

__

The rocket and ball reach the same height after 4 seconds.

X
y
m =
-6
-22
-2
-17
b =
2
-2
6
8
Equation:
10
18
What is the answer

Answers

Answer:

Step-by-step explanation:

your answers  for 1. would be B. and E. and number 2 doesnt

have a table sorry

Gene has a gasoline budget of $275 per month. He uses an average of $6 of gasoline each day he drives. Which of the following equations represents how much money is left in his gasoline budget after x days of driving?
A. y=275-6x
B. y=275+6x
C. y=6x-275
D. y=275x-6

Answers

Answer:

d because your taking away 6 from the 275

Step-by-step explanation:

Help please i need to know this answer

Answers

Answer:

976

SA=2(S1)+2(S2)+S3

S1=14*24/2

S1=168

S2=25*10

S2=250

S3=14*10

S3=140

SA=2(168)+2(250)+140

SA=976 cm

A child’s ladder is made of 2 sections. Each section is 3/4 meters. How long is the ladder when all 2 sections are extended to make
one ladder?

Answers

Answer:

as a mixed fraction it would be 1 2/4 and as an improper fraction it would be 6/4

Step-by-step explanation:

HELP WITH PART C
Lionfish are considered an invasive species, with an annual growth rate of 65%. A scientist estimates there are 7,000 lionfish in a certain bay after the first year.

Part C: If scientists remove 1,300 fish per year from the bay after the first year, what is the recursive equation for f (n)? Show all necessary math work.

So I know that the equation would be
[tex]f(n) = (f_{n-1} )(r)[/tex]
Where f(n) is the number of years but I am confused on how to fill out the rest. Any help would be appreciated. Thank you.

Answers

The recursive equation for f(n) will be f(n) = 4242.42(1.65)ⁿ - 1300n.

What is an exponent?

Let Consider the function:

y = a (1 ± r) ˣ

Where x is the number of times this growth/decay occurs,

a = initial amount, and r = fraction which this growth/decay occurs.

Lionfish are considered an invasive species, with an annual growth rate of 65%.

Then the equation will be

f(n) = P(1.65)ⁿ

P = initial population

A scientist estimates there are 7,000 lionfish in a certain bay after the first year.

7000 = P(1.65)

P = 4242.42

Then the equation will be,

f(n) = 4242.42(1.65)ⁿ

If scientists remove 1,300 fish per year from the bay after the first year.

Then the recursive equation for f(n) will be,

f(n) = 4242.42(1.65)ⁿ - 1300n

Learn More about the exponent link is given below.

brainly.com/question/5497425

#SPJ2

30 liters in 2 minutes = liters per minute

Answers

Answer:

0.06 would be the answer.

Step-by-step explanation:

Answer:

15 liters per minute

Step-by-step explanation:

30/2=15

Situation. 11. The weather channel reported overnight rainfall of 1.5 inches and an average of 0.5 inches each hour for the remainder of the day. After how many hours will there be more than 5 inches of rain?​

Answers

Answer: The amount of precipitation that falls around the world may range from less than 0.1 inch per year in some deserts to more than 900 inches per year

Step-by-step explanation:

What is the domain of the square root function graphed below?
4
-6
4
-2
6
X
15
6

Answers

Answer:

x[tex]\leq[/tex]-1

Step-by-step explanation:

help for most brain! lol

Answers

Answer:

Im pretty sure it's false because 7.4p could 74, 148, 222 or 296. so it would be the other way around. It's false.

Step-by-step explanation:

A wading pool containing 100 gallons of water is leaking at a rate of 5 gallons per minute. At this rate, it will be empty in 20 minutes.

Answers

100, 95, 90, 85, 80, 0


Part A
Triangle ABC is reflected across the
X-axis to form triangle A'B'C'. What are
the coordinates of C after the
reflection? (Draw the image across the
Taxis)
Do
76
A. (-6,4)
B. (3,-2)
C. (4, -6)
D. (6,-4)

Answers

Answer:

D) (6, -4)

Step-by-step explanation:

pt C has coordinates of (6,4)

if you reflect that point across the x-axis the x-value remains the same and the y-value continues to be 4 units from the x-axis, but below it instead of above it

Which equation has the correct sign on the product?
a. 27(-5)=-135
b. 22 x 4= -88
c. (-4)(-4)= -16
d. (-61)(3)= 183

Answers

Answer: a.

Would appreciate brainly <3

Based on the table below, find the input and output values of the function.

Answers

Answer:

the inputs are: 0,1,2,8,12

the outputs are: 19,9,7,16,17

(Put them in order if needed)

**inputs are x values and outputs are the y values**

What is the missing number in this pattern?
1, 7, 8, 15, 23, 38, 61, 99, 160,

Answers

The next number in the sequence is the sum of the two note ious numbers.

The next number would be 99 + 160 = 259

regal furniture company allocates its indirect salaries of $22,500 on the basis of sales. Determine the indirect salaries allocated to Departments 1 and 2 using the following information.

Answers

Answer:

$15750 and $6750

Step-by-step explanation:

Revenue share of Dept. 1:

182000/260000*100% = 70%

Revenue share of Dept. 2:

100% - 70% = 30%

Allocate the indirect salary with same ratio.

Dept. 1:

22500*70/100 = 15750

Dept. 2:

22500 - 15750 = 6750

1.5 - x
0.4 = - 7.75

Answers

Answer:−0.6

Step-by-step explanation:

(-1).3/5=−0.6

please help.......,................​

Answers

Answer:

8×1=8+64=72

Step-by-step explanation:

there is your answer are you happy now

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