Find the values of p and q such that 4x-5-x^2=q-(x+p)^2

Answers

Answer 1

Answer:

p = - 2 , q = - 1

Step-by-step explanation:

Rearrange the left side into standard form

- x² + 4x - 5

Factor out - 1 from - x² + 4x

= - (x² - 4x) - 5

Using the method of completing the square

add/subtract ( half the coefficient of the x- term)² tp x² - 4x

= - (x² + 2(- 2)x + 4 - 4) - 5

= - (x - 2)² - (- 4) - 5

= - (x - 2)² + 4 - 5

= - 1 - (x - 2)²

Comparing to q - (x + p)²

with p = - 2 and q = - 1


Related Questions

graph the linear function. j(x)=-1/3x+5​

Answers

Answer:

Here ya go!

Step-by-step explanation:

Select the correct answer from each drop-down menu. Consider this equation. 1/x + 2/x+10 =1/3 Complete the statements to make them true. The least common denominator is . The equation will have valid solutions.

Answers

Answer:

[tex] \frac{1}{x} + \frac{2}{x} + 10 = \frac{1}{3} ) \times3 x \\ 3 + 6 +30x = x \\ 30x - x = - 9 \\ 29x = - 9 \\ x = - \frac{9}{29} [/tex]

Answer:

i have the second part!

Step-by-step explanation:

the equation will have 2 valid solutions

please help me on this question ASAP.
i need it dont by midnight and its 10:40.

Answers

x= 6 y=9 and the last one is -40 i believe. the middle ones i'm not sure of

Answer:

i) x = 6 and y = 9

ii) x = 10 and y = 5

iii) x = 9 and y = 10

not entirely sure about the last one

Step-by-step explanation:

not sure how to explain but trust

I don't have a lot of time this is about to be overdue
What are the terms in the expression 2d + 7 + 5f?

2, 7, and 5

d and f

2 and 5

2d, 7, and 5f

Answers

Answer:

• d and f

Step-by-step explanation:

• take an example of;

ax + by + 1

a and b are coefficientsx and y are terms1 is a constant

[tex].[/tex]

Mr jones paid for a table using hire purchase plan if he made a deposit of $2000 and a monthly payment of $750 for 9 months , what did the table cost him

Answers

Answer:

138 I think

Step-by-step explanation:

2,000 - 750 ÷ 9 = 138

complete the table below

Answers

Answer:

see below

Step-by-step explanation:

let the four blanks be

A     B

C     D

the x-value of each function is given on the leftmost column,

So,

A = 2 * (x^2) = 2 * (1^2) = 2 * 1 = 2

B = 2^x = 2^1 = 2

C = 2 * (x^2) = 2 * (2^2) = 2 * 4 = 8

D = 2^x = 2^2 = 4

what numbers 65% of 98

Answers

Answer:

63.7

Step-by-step explanation:

If you setup an equation it is this. Make sure to change 65% to a decimal by moving the decimal two places left.

[tex]n = .65 \times 98[/tex]

[tex]n = 63.7[/tex]

Cesar is excited that he only has 12 months left before he pays off his credit card completely. His current balance is $3,750 and his APR is 17.5%. But when he is involved in a car accident, he is forced to use his credit card to pay a $1,000 deductible to get his car fixed. How much will Cesar’s minimum monthly payment increase if he still wants to pay off his credit card in 12 months?
a.
$83.33
b.
$91.44
c.
$342.91
d.
$434.35

Answers

The answer is.

b.

$91.44

Answer:

✅ B. $91.44

i took the test⬇️

A number increased by 4 is less than 19.

Answers

Answer:

23 is the answer u understand

1 1/2 x 2 1/6 in a simple form

Answers

Answer:

1

1

2

+

2

1

6

Convert

1

1

2

to an improper fraction.

Tap for more steps...

3

2

+

2

1

6

Convert

2

1

6

to an improper fraction.

Tap for more steps...

3

2

+

13

6

To write

3

2

as a fraction with a common denominator, multiply by

3

3

.

3

2

3

3

+

13

6

Write each expression with a common denominator of

6

, by multiplying each by an appropriate factor of

1

.

Tap for more steps...

3

3

6

+

13

6

Combine the numerators over the common denominator.

3

3

+

13

6

Simplify the numerator.

Tap for more steps...

22

6

Cancel the common factor of

22

and

6

.

Tap for more steps...

11

3

The result can be shown in multiple forms.

Exact Form:

11

3

Decimal Form:

3.

¯

6

Mixed Number Form:

3

2

3

Step-by-step explanation:

Answer:

3.25 or 3 1/4

Step-by-step explanation:

Convert both fractions into improper fractions: 3/2 * 13/6

Multiply 3/2 and 13/6 together: 39/12

Divide the fraction by 3/3: (39/3) / (12/3)

New fraction: 13/4

The mixed number form: 3 1/4

Decimal form: 3.25

Use this information to answer parts A, B, C, and D.
A 5-pound bag of carrots costs $2.69, and a 2-pound bag costs $1.89.

A) Which bag provides a greater weight per dollar spent?

B) How much does 10 pounds of carrots cost when purchasing 5-pound bags?

C) How much does 10 pounds of carrots cost when purchasing 2-pound bags?

D) What is the difference in price between each option when purchasing 10 pounds of carrots?

Answers

Answer:

A) la que cuesta $1.89

B)$5.68

C)$5.68

Step-by-step explanation:

find the volume and surface area of prism​

Answers

Follow up from the attachment.

Figure 2

Surface area:319cm²

Volume:184cm²

Cassie has a small cube-shaped box. Its volume is 64 cubic centimeters.
What is the area of one face of the box?

Answers

Answer:

16 cm^2

Step-by-step explanation:

Sqrt 64 = 4

Area of one face is 4 x 4 = 16 cm^2

Sam is paid $50 per room that he paints and he can paint a room in exactly 2 hours. On sunday, sam hopes to make atleast $150 painting rooms and can work for exactly 10 hours. Which of the following sets represents the range of money (m) that sam can make without violating either his monetary or time restriction?
A. m= {150,250}
B. m={0,150}
C. m={0,250}
D. m={100,250}

Answers

Answer: A, {150,250}

Step-by-step explanation:

In 10 hours he can do 5x2 hours work.  or 5x$50 = $250 for 5 rooms

$150 is 3x $50 or 3x2 hours work.

He can work 6 hours and make $150

or he can work 10 hours and make $250

the range he can earn so that he makes at least $150 and no more than 10 hours is$150 to $250

($150,$250) in interval notation for working 6 to 10 hours (6,10)

Solve z=sh/s+h for s

Answers

Answer:

[tex]\displaystyle s = \frac{hz}{h-z}[/tex]

Step-by-step explanation:

We are given the equation:

[tex]\displaystyle z = \frac{sh}{s+h}[/tex]

And we want to solve it for s.

First, we can multiply both sides by the denominator:

[tex]\displaystyle z(s+h) = sh[/tex]

Distribute:

[tex]\displaystyle sz + hz = sh[/tex]

Subtract hz and sh from both sides:

[tex]\displaystyle sz - sh = -hz[/tex]

Factor:

[tex]\displaystyle s(z-h) = -hz[/tex]

And divide. Hence:

[tex]\displaystyle s = \frac{-hz}{z-h} = - \frac{hz}{z-h} = \frac{hz}{h-z}[/tex]

Any one of the above three forms are correct, although the third form is preferred because it omits the additional negative.

pls help will give brainliest


Consider the function f(x) = 3x + 1 and the graph of the function g(x) shown below.

The graph g(x) is the graph of f(x) translated
units
, and g(x) =
.

Answers

Answer:

The graph g(x) is the graph of f(x) translated 2 units, Right and g(x)=f(x-2)

Step-by-step explanation:

Took the test got it right.

(Also I came here to get the answer, but I gave it instead.)

Write and solve an equation for:
The sum of a number and six is the quotient of twice the same number and four.

Answers

Answer:

n = - 12

Step-by-step explanation:

n + 6 = 2n/4

4 (n+6) = 2n

4n + 24 = 2n

4n - 2n = - 24

2n = -24

n = - 24/2

n = - 12

52 divided by 91, find the quotient then write the remainder as a decimal.

Answers

Answer:  

The answer to 52 divided by 91 calculated using Long Division is:

0

52 Remainder

Step-by-step explanation:

I NEED HELP QUICK PLEASE HELP
State, in a complete sentence, whether Ordered Pair (3,5) a solution to the equation 6x - 3y = 4.​

Answers

Answer:

6x3-3x5 would be the same as 18-15 which is equal to 3 so 3,5 would not be  a solution to the equation

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

This is only right if I know what ordered pairs are, so if this is wrong uh sorry

x = 3

y = 5

6 x 3 = 18

3 x 5 = 15

18 - 15 = 3

Help I need it fast if I will fail this homework

Answers

Answer:

[tex]y=\frac{10}{30} x+90[/tex]

Step-by-step explanation:

y = mx + b is the formula for slope intercept form

Mark as brainliest if correct :)

Khloe needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 6 hours and charged her $59 for parts. The total was $749. Write and solve an equation which can be used to determine xx, the cost of the labor per hour.

Answers

The cost of the labor per hour is $115.

The total amount that the technician charged her is the sum of the cost for the total hours worked and the costs of the parts.

Total charge = cost of total hours worked + cost of parts

$749 = $59 +  cost of total hours worked

Cost of total hours worked = $749 - $59

Cost of total hours worked = $690.

In order to determine the cost per hour of labour, divide the total cost of total hours worked by the hours worked.

$690 / 6 = $115.

A similar question was answered here: https://brainly.com/question/20177461

Answer:

115.

Step-by-step explanation:

3x+9=15
Anybody know the answer to thisss???

Answers

Answer:

[tex]x = 2[/tex]

Step-by-step explanation:

Move all terms that don't contain [tex]x[/tex] to the right side and solve.

Answer:

refer to the attachment

Step-by-step explanation:

hence x is 2

The expression 3(2x+7)-4(-3x+5) is equal (=) to what?

Answers

The answer is 18x + 1

Question po
In an auditorium, a charity show is conducted in order to raise at least $3,000. The auditorium can
accommodate up to 180 spectators. Tickets cost $12 for students and $20 for adults. Identify the system of
inequalities and the corresponding graph that determine whether the charity will reach its goal.

Answers

If the number of adults is more than or equal to 105, then the goal is achieved otherwise not achieved.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

In an auditorium, a charity show is conducted in order to raise at least $3,000.

The auditorium can accommodate up to 180 spectators.

Tickets cost $12 for students and $20 for adults.

Let x be the number of students and y be the number of adults. Then we have

x + y = 180

12x + 20y ≥ 3000

By solving, equations 1 and 2. Then we have

x = 75 and y = 105

If the number of adults is more than or equal to 105, then the goal is achieved otherwise not achieved.

The graph is given below.

More about the inequality link is given below.

https://brainly.com/question/19491153

#SPJ1

Jacob and his team start at the 45 yard line but they get a flag and have to go back 15 yards. The next play Jacob ran the ball 12 yards before getting tackled. How many yards does Jacob's team have to go to get to the touchdown zone? ​

Answers

45 plus 15 is 60 so he ran 12 yards so subtract 12 from 60 and your answer is 48

Find real numbers a and b such that the equation is true.

a + bi = 7 + 6i

Answers

The A=7 and the B=6 tell me if it’s wrong

Which expression is equivalent to 27x3 + 125?
-)
A)
(3x - 5)(9x2 – 15x + 25)
B)
(3x - 5)(9x2 + 15x – 25)
0
(3x + 5)(9x2 - 15x + 25)
D)
(3x + 5)(9x2 + 15x – 25)
I need help solving this please

Answers

Answer:

your answer would be C hope it helps

If one angle is 25 and another is 105 what is x

Answers

Answer choices 1, 2, and 5 are correct for this problem.

Answer:

choices 1, 2, and 5 are correct for this problem.

Step-by-step explanation:

what is (4x-3)(x-11) do you know

Answers

Answer:

[tex](4x - 3)(x - 11) = 4 {x}^{2} - 47x + 33[/tex]

Answer:

4x^2 - 47x + 33

Step-by-step explanation:

1. To multiply binomials, we must apply the FOIL method, meaning:

F = Multiply first term in first parentheses by first term in second parenthesesO = Multiply outside term in first parentheses by outside term in second parenthesesI = Multiply inside term in first parentheses by inside term in parenthesesL = Multiply last term in first parentheses by last term in second parentheses  

2. (Solving)

[tex](4x-3)(x-11)[/tex] [tex](4x)(x) + (4x)(-11) + (-3)(x) + (-3)(-11)[/tex]  [tex]4x^2 - 44x - 3x + 33[/tex] [tex]4x^2 - 47x + 33[/tex]

Therefore, the answer is 4x^2 - 47x + 33

Need help . Explain if you can . The options are
Additive property of length
All right angles are congruent
Definition of angle bisector
Definition of equilateral triangle
Definition of midpoint
Vertical angle theorem

Answers

9514 1404 393

Answer:

  Definition of midpoint

Step-by-step explanation:

The statement you're trying to justify is one that relates two line segments. (It says they're congruent.) This does not involve angles or triangles, and no addition of length is involved. The only reasonable choice on the list (and the correct one) is ...

  Definition of midpoint

__

A midpoint is a point that divides a line segment into two congruent parts. Since W is said to be the midpoint (given), it must divide UV such that UW ≅ VW, the statement we're trying to justify.

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