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

If 1,600 divided by n = 4, what is the value of n?
A 40
B 400
C4,000
D40,000

Answers

Answer:

B) 400

Step-by-step explanation:

To find the value of n, you would have to divide 1600 by 4. 1600/4=400.

Answer:

400

Step-by-step explanation:

1600 4

Solve the following questions: 17 x 10 = 24 x 100 = 6 x 1000 =

Answers

Answer:

17 x 10= 170

24 x 100= 2,400

6 x 1000= 6000

Step-by-step explanation:

A baseball pitcher has made 53 pitches in the first four innings of a baseball game and plans to pitch 3 mote innings. The manager of the team has committed to allowing his pitcher to throw, at most, pitches during the game. Write an inequality to find the average number of pitches the pitcher can throw over the next three innings Solve the inequality from Part 1. What is the maximum number of pitches the pitcher can make in cach of the next 3 innings ? Graph your solution from Part 2 on a number line and explain what your solution means. If the pitcher threw just 6 pitches in the fifth inning, what is the greatest number of pitches the pitcher can throw per inning he wishes to pitch nine innings? Write and solve an inequality to answer this part.

Answers

Answer:

at most 17 pitches per inning

Step-by-step explanation:

It is given that a baseball pitcher makes 53 pitches in the first 4 innings of a game and plans to pitch in the next 3 innings.

We need to write and solve an inequality to find the possible average pitches per inning the pitcher made in the next 3 innings if the pitcher is assigned a maximum of 105 pitches.

From part (a) we know  3 p + 53 3p+53 represents the total number of pitches made if the pitcher makes an average of  p pitches per inning in the next 3 innings.

If the pitcher can make at most 105 pitches, then:

3 p + 53 ≤ 105 3p+53≤105 ​  

To solve the inequality, first subtract 53 on both sides of the inequality to isolate the variable term:

3 p + 53 − 53 ≤ 105 − 53 3 p ≤ 53      

3p+53≤105 [tex]p\leq 17\frac{1}{3}[/tex]

at most 17 pitches per inning

(Hope this helps can I pls have brainlist (crown)☺️)

Find the sum of this problem.

Answers

Answer:

34

Step-by-step explanation:

i think

A box of the Tic Tacs contains 44 of the 1 1/2- calorie flavored breath mints. How many calories are there in a box of Tic Tacs?

Answers

Answer:

66

forty-four times 1.5 equals 66

The area of a rectangle is 24 square inches. Determine both dimensions if the length is 6 inches less than three times the width

Answers

Answer:

width is 4 inches

length is 6 inches

Step-by-step explanation:

the length is 6 inches less than three times the width

l = 3w - 6

a = l * w

a = (3w - 6)w

a = 3w^2 - 6w

area of the rectangle is 24 square inches

3w^2 - 6w = 24

subtract 24 from both sides

3w^2 - 6w - 24 = 0

Divide both sides by 3

w^2  - 2w - 8 = 0

Factor

(w - 4)(w + 2) = 0

w = {-2, 4}

disregard the negative root since measurement must be positive

w = 4

l = 3w - 6

l = 3(4) - 6

l = 6

A company that manufactures small canoes has a fixed cost of $24,000. It costs $80 to produce each canoe. The selling price is $160 per canoe. (In solving this exercise, let x represent the number of
canoes produced and sold.)
a. Write the cost function.
C(x) = 150 (Type an expression using x as the variable.)

Answers

Answer:

C(x)=2400 - 80x

Step-by-step explanation:

since 24000 is a fixed cost, lets put it was the y-intercept (the cost when no canoes are produced and sold). next subtract 160 from 80 to get the amount of cost gained for every canoe produced and sold. this value is -80, it is negative since the company is earning a profit for every canoe produced and sold. now you have your equation: C(x) = 2400 - 80x

Students are running in a relay race. Each team will run a total of 3 miles. Each member of a team will run 1/3 mile
How many students will a team need to complete the race? Circle the correct number below

Answers

Answer:

9 students

Step-by-step explanation:

If 1 student runs a 3rd we need 3 students to run 1 mile.

Since we need 3 times that amount of miles we multiply the amount of students it takes to run 1 mile so that we find out how many we need to run 3 miles.

3 x 3 = 9

They will need 9 students I hope this helps have a great day :)

PLEASE HELP
Create a cubic function that is not the parent function.

Explain how to graph your cubic function using transformations from the parent function. Be specific in your response and use correct mathematical language.

Answers

[tex]y = x^{3} + 2[/tex]

[tex]y = g(x) + c[/tex]

Here,  [tex]g(x) = x^{3}[/tex] and [tex]c = 2[/tex], the parent function is [tex]g(x)[/tex]. Because [tex]c > 0[/tex], the graph undergoes a vertical shift 2 units up along the y-axis.

1) The cubic function is [tex]x^3+1[/tex] and the parent function is [tex]x^3[/tex].

2) The transformation from parent function to function is vertical stretch.

A cubic function is a polynomial function of degree 3. So the graph of a cube function may have a maximum of 3 roots. i.e., it may intersect the x-axis at a maximum of 3 points.

The general form of the cubic function is [tex]ax^3+bx^2+cx+d=0[/tex], where a, b, c and d are real numbers.

Let the cubic function be [tex]x^3+1[/tex] and the parent function be [tex]x^3[/tex].

To find the transformation, compare the function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis and if there is a vertical strech.

Horizontal shift: None

Vertical shift: Up 1 units

Reflection about the x-axis: None

Reflection about the y-axis: None

Vertical Compression or Stretch: None

Therefore,

1) The cubic function is [tex]x^3+1[/tex] and the parent function is [tex]x^3[/tex].

2) The transformation from parent function to function is vertical stretch.

To learn more about the cubic function visit:

https://brainly.com/question/28051275.

#SPJ3

In order to join the next yoga class at the YMCA, you must pay a $50 annual fee, then $4 for each class you attend. How many classes can you attend if you budget to spend $98.00 that year on Yoga?

Answers

Answer:

12 Yoga classes

Step-by-step explanation:

50 + 4x = 98

Subtract 50 on each side

4x = 48

Divide by 4 on each side

x= 12

You can attend 12 yoga classes in a year with a $98 budget.

Help me please guys hurry!!!

Answers

Answer:

1. False 2. 7.11 > -7.1 3. -3 < -1 and -3 <= -1 <= is less than or equal to. 4. m + 7 => 8.2 5. {3, 4} Hope this helps even though I am late!

Step-by-step explanation:

s2=16, what is this?

Answers

Answer:

s= 4,-4

Step-by-step explanation:

I
Graph the direct variation equation. Y=1/3x
Which graph is correct

Answers

It’s A , or the first graph

PLEASE HELP ME I AM CONFUSED
Sara bought 3 4 of a pound of bananas and 3 5 of a pound of pears. How much fruit did Sara buy?

Answers

Answer:

69

Step-by-step explanation:

because 34plus 35 will give you 69

PLS HELP FIND GRADIENT PLSSS DUE TMRW GIVING BRAINLIEST FOR FIRST ANSWER

Answers

Whats the question?......................

Answer:  

For a;  

The answer will be 3  

For b;  

The answer will be -4  

Step-by-step explanation:  

To find the gradient of the lines, you must pick 2 points on the line and then find  [tex]dy/dx[/tex]  

I hope this helped!  

Can I have brainliest?  

Have a great day/night/afternoon!  

(I already went to the other question you posted, do not worry.)

- ❤ 7272033Alt ❤

Given that f(x) = x2 + 8x – 5 and b = f(4), what is the value of -b? (Use only the digits 0-9 and the negative sign if necessary to enter the value.)

Answers

Plug in 4 for x
f(4) = 4^2 + 8(4) - 5
f(4) = 16 + 32 - 5 = 43
B = 43, so -B = -43

Solution: -43

pls help i need it.

You are the Parish Youth Ministry treasurer Every year your organization conducts a fundraising activity to help the poor school-children in your parish. This year, your organization aimed to help 500 school-children by providing them school supplies. You have been tasked by the Parish Priest to lead this year's fundraising activity. Together with your co-officers, you go to Divisoria which is known to be the place where the cheapest prices for school supplies can be found. Here is the list of the items that you need and their prices. what is the total amount of this price per item? make a clear and accurate computation of the trial amount needed to buy all the school supplies that you need. present it to the praish priest who will approve budget. guide questions:
1. how much money does your organization need for this project?
2. if you already have a an existing fund of php 1,200.00, do you still need to raise a fund or not? why?
3. are you also a member/officer of an organization in your parish? if yes, write one among your remarkable experience for being a member of the organization. ​

Answers

Step-by-step explanation:

each child gets a certain amount of items costing the specified price by item.

so, we need to multiply the number of children with the number of items with the price per item to get the total cost.

500×3×3.5 for pencils = 5,250

500×5×7.5 for notebooks = 18,750

500×1×21.75 for crayons = 10,875

500×2×9.26 for pad paper = 9,260

total 44,135

since we have only 1,200 available in the existing fund, we need a new one to cover the remaining

44,135 - 1,200 = 42,935

the value of 3 1/5 - 1 2/3 is?

please write the answer with sums and explanations

anyone with the correct answer will be given 10-20 points and will be marked as Brainliest ​

note: it's not 31 or 12 it's seperated

Answers

QUESTION :-

The value of 3 1/5 - 1 2/3

ANSWER :-

[tex] = > \: \frac{16}{5} \times \frac{5}{3} \\ [/tex]

Take Lcm by the denominator ( check the pic )

[tex] = > \: ( \frac{16 \times3 }{5 \times 3} ) \: = \: \frac{48}{15} [/tex][tex] = > \: ( \frac{5 \times 5}{3 \times 5} ) \: = \: \frac{25}{15} [/tex]

Now subtract this

[tex] \frac{48}{15} - \frac{25}{15} = \: \frac{23}{15} [/tex]So , now ur ans is :-

[tex] \frac{23}{15} [/tex]

Question:[tex] \rightarrow[/tex] the value of 3 1/5 - 1 2/3 is?

=================================================

Answer:

[tex] \large\rightarrow \tt 1 \frac{8}{15}[/tex]

=================================================

Explanation/Solution:

To solve the problem, let's find the LCM or Latest Common Multiple.

[tex]\tt5 \underline{ | \tt5, \: 3} \\ \tt3 \underline{ \tt |1, \: 3} \\ \: \: \: \: \tt1, \: 1[/tex]

[tex] \rightarrow [/tex] LCM = 5 x 3 = 15

[tex] \\ [/tex]

Since the LCM is already finished let's solve for the both numerator and denominator.

[tex]\rightarrow \: \tt3 \frac{1 \times 3}{5 \times 3} = 3 \frac{3}{15} \\ \\ \rightarrow \: \tt1 \frac{2 \times 5}{3 \times 5} = 1 \frac{10}{15} [/tex]

Since both of the fractions cannot be subtracted from each other, then let's make it to a improper fraction.

[tex] \rightarrow \: \tt3 \frac{3}{15} = 3 \times 15 + 3 = \frac{48}{15} \\ \\ \rightarrow \: \tt1 \frac{10}{15} = 1 \times 15 + 10 = \frac{25}{15} [/tex]

Now its time to subtract.

[tex]\rightarrow \: \tt \frac{48}{15} - \frac{25}{15} = \frac{23}{15} \: \: or \: \: 1 \frac{8}{15} [/tex]

Therefore, the answer is 1 8/15.

=================================================

[tex] \underline{{\sf \: \: \#CarryOnLearning! \: \:}} [/tex]

1) Which multiplication expression is equivalent to
-8 + (-8) + (-8) + (-8)?

Answers

Answer:

-8 x 4

Step-by-step explanation:

Multiplication is really just repeated addition. In multiplication, the 2 terms are the number being added and the number of times it is added. In this case, the number being added is -8 and it is being added 4 times. Therefore, the multiplication expression must be -8 x 4.

-32 that's the answer

Step-by-step explanation:

that's easy

will give brainiest pls help!

Answers

Step-by-step explanation:

given,

x² + y² = 40

2xy = 24

(x + y)² = x² + 2xy + y²

so,

40 + 24 = 64

therefore option C is correct

hope this answer helps you dear!

Answer:

The answer should be C which is 64

Bruno's Burgers has a cook to server ratio of 2 to 5. The total number of servers and cooks is 42. How many more servers does Bruno's Burgers employ than cooks?

Answers

Answer:

18

Step-by-step explanation:

2 to 5 2+5=7 42/7=6

6x2=12. cooks

6x5=30 servers

servers subtracted by cooks equals difference

30-12=18

The average of 5 consecutive whole numbers is 2021. What is the average of the first 3 of these numbers? please help me

Answers

Answer:

2020

Step-by-step explanation:

if it is 5 consecutive numbers, it means it needs to be 2019, 2020, 2021, 2022, 2023

it is the number in the middle.

for the first 3 numbers, it is 2019, 2020, 2021

the middle number is 2020

PLEASE HELP ⁉️ POR FAVOR SOMEONE IM DESPERATE tHIS IS DUE IN THE mORiNG!

Answers

Answer:

See below

Step-by-step explanation:

1) Total points = 252) Points earned = 213) Percent score = 84%

Proportion:

21 / 25 = 84% / 100%

Solving the others in the table

21 out of 25 points:

21/25 = x/ 100 ⇒ x = 100*21/25 = 84

15 out of 20 points:

15/20 = x/100 ⇒ x = 100*15/20 = 75

47 out of 50 points:

47/50 = x/100 ⇒ x = 100*47/50 = 94

28 out of 30 points:

20 / 30 = x/100 ⇒ x = 100*20/30 = 66.66

19 out of 45 points:

19/45 = x/100 ⇒ x = 100*19/45 = 42.22

3 out of 4 points:

3/4 = x/100 ⇒ x = 100*3/4 = 75

The measure of an interior angle of a regular polygon is 144°. Find the number of sides in the polygon



• n = 4



• n = 6



• n = 10



• n = 15

Answers

Answer:

The number of sides of the regular polygon is 10

(2m-3)(2m+3)(4m^2+9)

Answers

Answer:

16[tex]m^{4}[/tex]−81

Step-by-step explanation:

Hope this is correct and it helps :)


Find x

Will be marked brainliest

Answers

Answer:

x = -49

Step-by-step explanation:

The sum of the angles of a triangle is 180°. Set up the following equation and solve for x.

[tex]-x-5+37+99=180\\\\-x+131=180\\\\-x=49\\\\x=-49[/tex]

Which table does NOT represent a linear function?

Answers

Answer:

3rd

Step-by-step explanation:

3rd one because rate of change is not same

18 - 15 / 0 - -1 = 3

20 - 18 / 1 = 2

21 - 20 / 1 = 1

Answer: i honestly think it would be the table with:

-1,15

0,18

1,20

2,21

Step-by-step explanation: hope this helped ty for the points

20 points!!!!!!!!!!!!!

Answers

Answer:

C   132°

Step-by-step explanation:

The measure of <ABG is the sum of the measures one exterior angle of each polygon.

The sum of the measures of the exterior angles of a polygon, one per vertex, is 360°.

In a regular polygon, all exterior angles are congruent.

Measure of one exterior angle of a regular pentagon:

360°/5 = 72°

Measure of one exterior angle of a regular hexagon:

360°/6 = 60°

m<ABG = 72° + 60°

m<ABG = 132°

You are correct.

Answer:   C   132°

which number will reach if we move 6 steps to the right -3

Answers

Answer:

If you meant -3 + 6, then the correct answer is 3.

You should put some extra effort in composing questions with all the required information, like a picture maybe.

Answer:

your answer has to be 3

Step-by-step explanation:

if you were to move to the right in number line you have to add so -3+6 is equals to 3

What does it mean to say that a function is linear?
Select all that apply.
A. The function has a graph that includes the point (0,0).
B. The function can be described by an equation of the form y = mx + b.
C. The function has a constant rate of change.
D. The function has a straight-line graph.
| E. The function has a rate of change that increases.

Answers

A function is linear if:

B. The function can be described by an equation of the form y = mx + b.

C. The function has a constant rate of change.

D. The function has a straight-line graph.

A function is said to be linear if it is a straight line graph and it can be represented by the equation:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

A linear function has a constant rate of change (either increasing or decreasing).

Find out more at: https://brainly.com/question/21835898

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