How to find value p and q​

How To Find Value P And Q

Answers

Answer 1

Answer: (p, q) = (3, 2)

Step-by-step explanation:

So we get that g(f(x)) = p(1-x)^2 + q = p(x^2 - 2x + 1)+q = px^2 - 2px + p+q.

Matching coefficients, we get that p=3, -2p=-6, and p+q=5.

It follows that p=3 and q=2.


Related Questions

Caroline painted 12 pictures in 6 days. At what rate did she paint the pictures? A.
6 pictures per day
B.
18 pictures per day
C.
72 pictures per day
D.
2 pictures per day

Answers

Answer:

D

Step-by-step explanation:

It would be 2 pictures per day, 2x6=12

Solve the following inequality.
-22 < 4x + 6 < 50
[?] х

Answers

Solution:

Let's simplify each inequality one by one.

-22 < 4x + 6 ≤ 50=> -22 - 6 < 4x => -28 < 4x => -7 < x => 4x + 6 ≤ 50=> 4x ≤ 50 - 6=> 4x ≤ 44=> x ≤ 11

This means that...

-7 < x ≤ 11

Hoped this helped!

PLEASE HELP How can the area of this triangle be determined by forming a rectangle? Select from the drop-down menus to correctly complete the statements. Copy and rotate the triangle and place it next to the existing triangle to form a rectangle. The length of the rectangle is (choose) 4,5,8,10 units. The width of the rectangle is (choose) 4,5,8,10 units. The area of the rectangle is (choose) 10,16,20,25 square units.
The area of the triangle is half the area of the rectangle, so the area of the triangle is (choose)
10,16,20,25
square units.

Answers

Just add a similar triangle from the opposite side

Then what happens

Hypotenuse of this triangle becomes common and diagonal of the rectangle.

Now

Length=L=5Breadth=B=4

Area

[tex]\\ \tt\hookrightarrow LB=5(4)=20[/tex]

Area of triangle=20/2=10units^2

Answer:

Length = 5

Width = 4

Area = 20

Triangle area = 10

Step-by-step explanation:

The length of the rectangle = the longest leg = 5 units

The width of the rectangle = the shortest leg = 4 units

The area of the rectangle = width x length = 4 x 5 = 20 units²

The area of the triangle = 1/2 the area of the rectangle = 20 ÷ 2 = 10 units²

When twice a number is decreased by three, the result is 25. What is the number?

Answers

Answer:

So you can make an equation.

So lets make the unknown number “x”

So it’s twice a number and it’s decreased by 3.
So 2x-3

The result is 25
2x-3=25
Now just solve for the number or “x”

X= 14

Which values from the set {-6, -4, -3, -1, 0, 2} satisfy this inequality? 1/2x+3>5

Answers

Answer:

-12x+3 greater than or equal to 5

-12x greater than or equal to to 2

To turn the negative sign of -12x into positive, we multiply both sides by minus, which shifts the inequality sign.

So, 12x less than or equal to 2

x is less than or equal to 1/6

Therefore, 0, -1, -3, -4 and -6 satisfy this inequality

Maurice has completed 72 pages of the research paper he is writing. That is 90% of the required length of the paper. What is the required length of the paper? ​

Answers

Answer:

its 100 pages ................

Answer:

80

Step-by-step explanation:

When we first look at this, it generally says "90% of what number is 72?" so that's what we can do.

We can change 90% into a decimal, and put in x, which is what our answer will be!

[tex]0.9*x=72[/tex]

We can multiply both sides of this equation by 100, and then divide by 90. After all of this, we have

[tex]x=72*10/9[/tex], which is 80.

Answer to letter B , C, D

Answers

Answer:

See below.

Step-by-step explanation:

Our expression given: 3(x-6) + 2y

A. Substitute x = -7 and y = 10 into the equation.

[tex]3( - 7 - 6) + 2(10)[/tex]

Use the Distributive Property:

[tex] - 21 - 18 + 20[/tex]

Solve:

[tex] - 19[/tex]

B. Substitute x = 5 and y = -2 into the equation.

[tex]3(5 - 6) + 2( - 2)[/tex]

Use the Distributive Property:

[tex]15 - 18 + -4[/tex]

Solve:

[tex]-7[/tex]

C. Substitute x = 0 and y = 6 into the equation.

[tex]3(0 - 6) + 2(6)[/tex]

Use the Distributive Property:

[tex] - 18 + 12[/tex]

Solve:

[tex]-6[/tex]

D. Substitute x = 3 and y = 3 into the equation.

[tex]3(3 - 6) + 2(3)[/tex]

Use the Distributive Property:

[tex]9 - 18 + 6[/tex]

Solve:

[tex]-3[/tex]

2.Each purse contains 8 coins. Find a rule to give the total number of coins.

Answers

If we have to find the total number of coins then we can use the following rule:

If Each Purse Contains 8coins ,then we can find total number of coins by multiplying 8 to the number of total purse

Thus,

Rule is :

︎⠀⠀ ⠀⠀ ⠀⠀ ⠀︎⠀⠀ ⠀⠀ ⠀8×Total Number of Purse.

─━─━─━─━─━─━─━─━─━─━─━─━─

HELP ME OUT PLEASE!!!!!!​

Answers

Step-by-step explanation:

when it is phrased like that it should mean that we apply the scale factor to the original images to create the new ones.

and that means the new images will in our case be bigger by the factor of 2.

therefore, the 4th answer option is correct.

2 cm turn into 2×2 = 4 cm

1.5 cm turn into 2×1.5 = 3 cm

3 cm turn into 2×3 = 6 cm

Please help. 435 × 3

Enter your answers in the boxes to correctly complete the equations.

435 × 3 = (400 + 30 + 5)×

= 400 × 3 +
× 3 + 5 ×

=
+ 90 +

=

Answers

Answer:

1st box= 3

2nd box = 30

3rd box=3

4th=1200

5th= 15

Sixth =1305

Answer:

Attached

Step-by-step explanation:

Hope it helps :)

Krisi took out a $500 discounted loan calculated using a simple interest rate of 5% for a period of 2 years. What is the effective interest rate? Give your answer as a percentage to the nearest tenth of a percent.

Answers

Answer:

Step-by-step explanation:

$50050050re=$450(1+2re)=450+900re=900re=50900=0.05555¯=5.555¯%

The amount of interest will be $50 for the investment.

What is simple interest?

Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific amount of time.

Contrary to compound interest, where we add the interest of one year's principal to the next year's principal to calculate interest, the principal amount in simple interest remains constant.

Given that Krisi took out a $500 discounted loan calculated using a simple interest rate of 5% for a period of 2 years.

The interest will be calculated as:-

SI = ( 500 x 5 x 2 ) / 100

SI = $50

To know more about simple interests follow

https://brainly.com/question/25793394

#SPJ2

inverse matrices
how can i solve for x?

Answers

Answer

You can solve for x

Step-by-step explanation:

find five ordered pairs that are a solution for.the equation y=2x +7

Answers

Step-by-step explanation:

y = 2x + 7

y = 2(–2) + 7 = 3

y = 2(–1) + 7 = 5

y = 2(0) + 7 =7

y = 2(1) + 7 = 9

y = 2(2) + 7 =11

7.209 x 10 -4 in standard form

Answers

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\mathsf{7.209\times10^{-4}}\\\\\mathsf{\approx 7.209\times\dfrac{1}{10\times10\times10\times10}}\\\\\mathsf{\approx 0.000721}\\\\\mathsf{\approx 7.21\times10^{-4}}\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{7.21\times10^{-4}}}}\huge\checkmark[/tex]

[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Find the probability​ P(not E) if ​P(E)=0.26.

Answers

Answer:

0.74

Step-by-step explanation:

P(not E) = 1 - P(E) = 1 - 0.26 = 0.74

Please help me with this.
Image attached below! Thank you.

Answers

Answer:

C

because:

[tex]y = 0.074x + 50.48 \: \: \\ \: when \: x = 2158 \\ y = 0.074(2158) + 50.48 \\ y = 210 \\ when \: x = 2040 \\ y = 0.074(2040) + 50.48 \\ y = 200 \\ [/tex]

So the equation can be used to calculate fair housing prices is:

[tex]y = 0.074x + 50.48[/tex]

A machine cuts a strip of carpet into two pieces. The length of the smaller piece is 5 meters greater than 4 the length of the larger piece. If
the length of the smaller piece is 12 meters, the length of the bigger piece is meters and the total length of the carpet is
meters. And it's not 7 14 19 or 29

Answers

Answer:

Great job!

You earned

+5 pts

for helping

Step-by-step explanation:

Prove that the natural number x is prime if and only if x>1 and there is no positive integer greater than 1 and less than or equal to [tex]\sqrt{x}[/tex] that divides x.

Answers

There are several ways to prove a mathematical statement. These ways include: by contradiction, by induction, contraposition, etc

How to prove the statement by contradiction

To prove the statement, we make use of proof by contradiction

From the question:

x is a composite number such that: x > 1

This means that 1 < a < x is a factor of x

This can be represented as:

[tex]x = a * b[/tex]

Where:

a  and b  are  positive  integers1 < a, b < x

Assume that b is less than or equal to a.

Also, let

[tex]b > \sqrt x[/tex]​

This means that:

[tex]\sqrt x < b \ge a[/tex]

The above becomes

[tex]\sqrt x < a[/tex]

Rewrite as:

[tex]a > \sqrt x[/tex]

So, we have:

[tex]x = a * b > \sqrt x * \sqrt x = x[/tex]

The above means that:

[tex]x > x[/tex]

The above inequality is a contradiction because, a number x cannot be greater than itself

This means that, the supposition is wrong.

Hence, the given statement has been proved by contradiction

Read more about proof by contradiction at:

https://brainly.com/question/8062770

When a banks customer makes an ATM withdrawal from the customers account which
Classes of the banks chart of accounts will be affected

Answers

Answer:

Classes representing assets.

Step-by-step explanation:

A community theater sells about 150 tickets to a play each week when it charges $20 per ticket. For each $2 decrease on price about 25 more tickets per week are sold. Write a quadratic function to find how the theater can maximize weekly revenue. What should the theater charge to maximize revenue? What is the maximum weekly revenue? (6 pts) (Show all work.)

What is the equation:
What should the theater charge?
What is the maximum revenue?

Answers

Answer:

Given two items with a price and quantity, this determines which is the better buy by comparing unit prices. Finds the better deal.

Binomial Distribution

Calculates the probability of 3 separate events that follow a binomial distribution. It calculates the probability of exactly k successes, no more than k successes, and greater than k successes as well as the mean, variance, standard deviation, skewness and kurtosis.

Also calculates the normal approximation to the binomial distribution with and without the continuity correction factor

Calculates moment number t using the moment generating function

Binomial Option Pricing Model

This shows all 2t scenarios for a stock option price on a binomial tree using (u) as an uptick percentage and (d) as a downtick percentage

Bond Flat Price-Accrued Coupon-Market Price

Calculates the flat price, accrued coupon, and market price for a bond between valuation dates using the following methods:

1) Theoretical Method

2) Practical Method

3) Semi-Theoretical Method

Step-by-step explanation:

is this correct please help me.

Answers

Answer:

4:15:44

Step-by-step explanation:

A ratio can be expressed three (3) ways. The ratio of A to B can be expressed as any of ...

  A to B

  A : B

  A/B

It will be in reduced form when the numbers are mutually prime (have no common factors).

__

1.

The ratio of burgers without onions to burgers with onions is ...

  without : with = 8 : 2 = 4 : 1

__

2.

The ratio of history visitors (5) to science visitors (44) is ...

  history : science = 5 : 44

_____

Additional comment

Some problems can be fairly easily worked by considering the difference between A and B in the ratio A/B. However, those differences are irrelevant to this problem. Here, you're simply asked to write the ratios.

We note that the ratios asked for reverse the appearance of the numbers given in the problem. That is, the second number in the ratio requested is the number described first. This requires you pay attention to what you are given and what is requested. (That's always a good idea.)

Add parentheses to make true.


2(with exponent of 3) +7.8 + 4 = 30.

Answers

Answer:

8 (hopefully)

Step-by-step explanation:

Exponents and Fractions always get dealt with before Math Symbols and Parentheses.

But other than that, you ALWAYS do times or divide from left to right, than plus or minus left to right (unless there's a parentheses, go for the number in the parentheses).

2 by the power of 3 (or 2^3) splits into three twos.

2 * 2 = 4 * 2 = 8 (2^3 = 8)

7 * 8 = 56

56 divided by 4 = 14

8 + 14 = 22

Long story sort

2^3 + 7 * 8 */. 4

8 + 7 * 8 */. 4

8 + 56 */. 4

8 + 14

22

Now than I do not remember what you're supposed to with the "= [Number]" but I do believe you're supposed to sum the left and the right. So I do believe it's 8, now than remember this is not an exact answer, due to not knowing what it's properly to be.

Answer:

  (2³ +7)·8÷4 = 30

Step-by-step explanation:

You want to add parentheses to make a true statement from ...

  2³ +7·8÷4 = 30

Order of operations

We recognize that 2³ +7 = 15 and 8÷4 = 2, and the product of these is 30. So, we need to insert parentheses to make (2³ +7) be evaluated before multiplying by 8 and dividing by 4:

  (2³ +7) · 8 ÷ 4 = 30

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what is the areas of 12cm and10cm​

Answers

The figure above is a triangle. The area of a triangle is equal to: A=1/2B•H

We see that the segment of 10cm is an altitude bisector, so that is the height of the triangle. The base is 12 cm. Therefore:

A=1/2(12)•(10)

A=120/2

A=60cm^2

3x 3/5 help me please

Answers

Answer:

9/5

Step-by-step explanation:

it is because 3/1 × 3×5

so which means 9/5

Answer:

1.8

Step-by-step explanation:

first you make the 3 3/1 then multiply 3/3 which are the numerators so that is 9 then you multiply the imaginary 1 that is under the 3 to the 5 so you get 9/5 and that simplified is 1 4/5 and then put that into a decimal is 1.8

4.) Emma wants to know the volume of a box of chocolates
she received. The box is 13 centimeters long, 5
centimeters high and 6 centimeters wide. How big is
the box?

Answers

Answer:

390 cubic centimeters

Step-by-step explanation:

the volume of a box is the length width and height all multiplied together

so this is what the equation would look like

5(6)(13)

you can split this up into

5(6) * 13

so 5(6) is 30

30(13)

this is 390

so the box is 390 cubic centimeters

answer for 50 points ​

Answers

Answer:

C

Step-by-step explanation:

Answer:

Blah

Step-by-step explanation:

what is 30,000 expressed in scientific notation

Answers

Answer:

3 x 10^4

Step-by-step explanation:

the decimal is behind the 3 (3.) and you move the decimal 4 times to the right

1/7x7=1 what property is that

Answers

Identity property of multiplication

Identity property of multiplication: The product of 1 and any number is that number. For example, 7 × 1 = 7 7 \times 1 = 7 7×1=77, times, 1, equals, 7.

Question 1 Multiple Choice Worth 2 points)
(06.04 MC)
The speed of a passenger train that is traveling at an initial speed of 14 feet per second and continues to accelerate can be modeled by the function: y = 142. A
second train that is 1,200 feet ahead of the first train is traveling at a constant speed of 149 feet per second and can be modeled by the function: y = 149t + 1200
Solve the system of equations. Which solution represents a viable time that the trains are side by side?
O 14 seconds
O 15 seconds
O 16 seconds
O 17 seconds

Answers

Using a system of equations, it is found that the trains will be side by side in 15 seconds.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the equations are:

[tex]y_1 = 229t[/tex]

[tex]y_2 = 149t + 1200[/tex]

They will be side-by-side when:

[tex]y_1 = y_2[/tex]

Hence:

[tex]229t = 149t + 1200[/tex]

[tex]80t = 1200[/tex]

[tex]t = \frac{1200}{80}[/tex]

[tex]t = 15[/tex]


The trains will be side by side in 15 seconds.

More can be learned about system of equations at https://brainly.com/question/24342899

Use Euclid's division algorithm to find the HCF of 135 and 225​

Answers

Answer:

The answer is 45

Step-by-step explanation:

135 and 225

Here, 225 > 135

225 = 135 × 1 + 90

Since remainder ≠ 0, we apply division Lemma to 135 and 90

135 = 90 × 1 + 45

Since remainder ≠ 0, we apply division Lemma to 90 and 45

90 = 45 × 2 + 0

Since remainder = 0, divisor 45 is the HCF

Thus, HCF (135, 225) = 45

-TheUnknownScientist 72

Answer:

HCF = 45

Step-by-step explanation:

225 = (135 × p) + q

⇒ 225 = (135×1) + 90

⇒ 135 = (90 × 1) + 45

⇒ 90 = (45 × 2) + 0

HCF (135, 225) = 45

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