The equation x²– 8x – 5 = 0 can be transformed into the equation (x - p)² = q, where p and q are real numbers. What are the values of p and q?​

Answers

Answer 1

The form (x - p)^2 = q is the form that completing the square will leave us with.

---Add 5 to both sides

x^2 - 8x = 5

---Divide the b term by 2, and square it. Then, add that number to both sides.

-8/2 = -4

(-4)^2 = 16

x^2 - 8x + 16 = 5 + 16

x^2 - 8x + 16 = 21

---Factor!

(x - 4)^2 = 21

p = 4

q = 21

Hope this helps!! :)

Answer 2

P and q have values of 4 and 21, respectively.

What is an expression?

In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.

The form (x - p)²= q is what we get when we complete the square.

Adding the number 5 on both sides,

x² - 8x = 5

After dividing by two, square the b term. Then divide both sides by that figure.

-8/2 = -4

(-4)² = 16

x² - 8x + 16 = 5 + 16

x² - 8x + 16 = 21

Solve the factors,

(x - 4)² = 21

p = 4

q = 21

As a result, the values of p and q are 4 and 21, respectively.

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Related Questions

Solve for the unknown.​

Answers

divide 4/2 so you get 2= n over 4 then multiply 2 by 4 and then multiply n over 4 by 4 you’ll get 4*2=n, multiply 4 and 2.

n=8

A Pentagon has 3 sides that are the same length and 2 sides with different lengths. The 3 sides are 8 cm long.The other 2 sides are 11 and 6 cm long. What is the perimeter?

Answers

41

Step-by-step explanation:

3(8)+11+6=24+17=41

can someone pls help me with number 5 pls show your work so i can understand thanks

Answers

Step-by-step explanation:

Let's represent Aaron's age with x and

Charlene's age with x+8

x+x+8=44

2x+8=44

2x=44-8

2x=36

x=36÷2

x=18

Aaron is 18 years old.

While Charlene is 18+8=26 years old.

Hope this helps!

)) A rectangle has an area of 117.8 square kilometers and a height of 9.5 kilometers. What
is the length of the base?
kilometers

Answers

Answer:

yes you use kilometers

Step-by-step explanation:

Are the shapes similar?



a
Yes
b
No
c
It cannot be determined.

Answers

The answer is no because the numbers on both shapes are different

what mathematician independently discovered calculus after isaac newton?

Answers

Answer: Gottfried Wilhelm Leibniz

Step-by-step explanation:

Gottfried Wilhelm Leibniz

solve for x
a) 30
b)45
c) 60
d) 90

Answers

pi=180 degree
pi/6=180/6
=30

One circle has a circumference of 12 cm. Another circle has a circumference of 32 x cm. What is the ratio of the
radius of the smaller circle to the radius of the larger circle?
3:8
8:3
1:3
3:1

Answers

Answer:

8:3

Step-by-step explanation:

Answer:

3:8 or 8:3, im leaning towards 3:8 more but i dunno

Step-by-step explanation:

Please solve the math problem... I will mark you brainliest

Answers

I need a better picture of the shape

The function g(x) is a transformation of the quadratic parent function, f(x) =
x2. What function is g(x)?

a. g(x) = 1/2x^2
b. g(x) = -2x^2
c. g(x) = 2x^2
d. g(x) = -1/2x^2

Answers

The answer is D) g(x) -1/2x^2

The function g(x) is a transformation (flipped upside down and horizontally stretched) of the quadratic parent function, f(x) = x2. g(x) = -0.5x².

What is flipping upside down?

Flipping upside down, is found by taking the negative of the original function; that is, the rule for this transformation is −f (x).

Since, g(x) is an upside down function of f(x), g(x) = -f(x).

What is stretching a graph?

If we multiply a function by a coefficient, the graph of the function will be stretched.

A function h(x) represents a horizontal compression of f(x) if h(x) = f(cx) and c > 1.

A function h(x) represents a horizontal stretch of f(x) if h(x) = f(cx) and 0 < c < 1.

Since, g(x) is clearly a stretched transformation of f(x), c < 1.

The possible function g(x) = -0.5x².

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PLEASE HURRY 45 points
Alexei writes the power regression equation y = 2.5x^1.13 to model the time, in minutes, it takes him to complete level x
of a video game. Based on the regression equation, approximately how many minutes will it take him to complete level
4 of the video game?
A 10
B 11
C 12
D 13

Answers

Answer\

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

1 package of COOKIE mix requires 2 T water and 1 stick of butter. How much water is required if you DOUBLE the recipe?

Answers

Answer:

4 T

Step-by-step explanation:

2 T (2) = 4 T

Find the value of x. 50° 83° X​

Answers

Answer: trap house

Step-by-step explanation:

cho hình thang ABCD vuông tại A và D cho biết AD=20 AC=52 và BC=29 Tính độ dài AB

Answers

Answer:

https://sooddan.zendesk.com

The set of all possible outputs for a function is its:

Answers

Answer:

the set of all possible outputs for a function is the range

Answer using steps: An ice cream shop sells ice cream cones with exactly 1 of 3 ice cream flavors in the cone. The 3 flavors are vanilla, chocolate, and strawberry. last saturday, the shop sold 42 cones. it sold 11 more with chocolate than with vanilla and 2 more with vanilla than with strawberry. how many cones with strawberry ice cream did the shop sell that saturday

Answers

Step-by-step explanation:

udhfhxhsjdjejdbcjdxbshajdddjwjed

The number of strawberry ice cream cones the shop sells that Saturday is 9 ice cream.

What is a linear equation?

A linear equation has one or two variables. No variable in a linear equation is raised to a power greater than 1.No variable is used as the denominator of a fraction. A linear equation is defined as an equation that is written in the form of ax+by=c.

calculation:-

An ice cream shop sells ice cream cones with exactly 1 of 3 ice cream flavors in the cone.

let a number of strawberry ice cream this shop sold on satrday=X

  number of vanilla ice cream shops sold = X+2

       number of Chocolate ice cream shops sold = X+2+11

Total number of icecream sold on Saturday =42

       ⇒ X+ X+2+ X+2+11 = 42

      ⇒ 3X + 15 =42

      ⇒   3X = 27

      ⇒X = 27/3

       ⇒   X = 9

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Please help

Which of the following is equivalent to the expression below?

Answers

Answer:

2x2x2 or 2x2x2x2

Step-by-step explanation:

because thats the answer

Aurora has a cell phone plan that charges $65 for phone service

Answers

Answer:

interesting

Step-by-step explanation:

Solve.

4.704=y+310

Enter your answer as a decimal in the box

Answers

Answer:

-305.296

Step-by-step explanation:

Make y the subject of the equation.

If 4.704=y+310 is the given equation, the value y is -305.3

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equation is 4.704=y+310

Four point seven zero four equal to y plus three hundred ten

We need to solve for y in the given equation.

4.704=y+310

Subtract 310 on both sides

4.704-310=y+310-310

-305.3=y

Hence, y is -305.3 for the equation 4.704=y+310

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You have a garden ABCD that you decide to move to another
location and enlarge afterwards to become A"B"C"D", as shown. The axes have a
scale in meters. Write the translation rule in the form (x+h, y+k) to show how the
garden has been moved.

b. Determine the scale factor used to enlarge the garden

Answers

Answer: no

Step-by-step explanation: no

Answer:

scale enlargement of 1 1/2 (  x+5, y+3)  

Step-by-step explanation:

Replace ? with a whole number to make the statements true.a. 20 ÷ 4 = ? means ? × 4 = 20b. 2,725 ÷ 5 = ? means ? × 5 = 2,725c. ? ÷ 5 = 0

Answers

Most likely five because it makes the most sense

make p the subject of t=p+m/p-m

Answers

Answer:

t=9+m/9-m

Step-by-step explanation:

Please Help, im stuck

Answers

Answer:

[tex]6^{9} * 6^{-3}[/tex]

solve please ;3 ( will give brainliest ♡ )

Answers


Hey!!

If h(x) =7x + 3x^2 and u want h(4)
U just do this x=4

h(x) =7x + 3x^2 , x=4

h(4) =7x4 + 3x4^2
h(4) =28 + 3x4^2
h(4) =28 + 48
h(4) =76 , i think that’s it


Alicia wants a pair of shoes that cost $68.48. If 17% sales tax must be added to the price, approximately
how much will the shoes cost including sales tax?

Answers

Answer:

$80.12; approx. $80

Step-by-step explanation:

- multiply 68.48 x 17% or 68.48 x 0.17 = 11.64

- the tax is 11.64

- add 68.48 + 11.64

- her total is $80.12

- rounded it would be $80

Hope this helped!

simplify -3√3(2+√6)
please include steps

Answers

Answer:

-6√3 - 9√2

Step-by-step explanation:

So you distribute like normal:

-3√3 times 2 is -6√3

-3√3 times √6 is -3√18

You can simplify -3√18 into -9√2

(because 9 can be squared into 3 and you can multiply the 3 with the current 3 into 9)

(Also you have to divide 9 out of 18 since you are simplifying)

So the answer will be -6√3-9√2

Hope this helps!

If line AB is congruent to line CD then CD is congruent to AB what property

Answers

Transitive property

find x if the base angles of an isosceles triangle are 47 degrees and 3x+14

Answers

Answer:

Step-by-step explanation:

The value of x is 11.

Given,

The base angles of an isosceles triangle are 47 degrees and 3x+14 degrees.

We need to find x.

What is an isosceles triangle?

An isosceles triangle is a triangle that has two equal sides and two equal angles.

The equal angles are the base angles.

Find x.

We have,

Base angles: 47 degrees and (3x + 14) degrees

Since base angles are equal in an isosceles triangle.

We have,

47 = 3x + 14

47 - 14 = 3x

33 = 3x

x = 33/3 = 11

x = 11

Thus the value of x is 11.

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F(x)= x^3+4x^2-5x-20;x+4

Answers

Use a calculator blskekkskskskskskdjdkjdjdjdjd

Find the unknown value in each proportion. Round to the nearest tenth if needed.

[tex] \frac{4}{5} [/tex]
[tex] \frac{4}{3} [/tex]
[tex] \frac{3}{7} [/tex]
[tex] \frac{13}{15} [/tex]

Answers

Answer:

4/5=16/20

4/3=4/3 or 1 1/3

3/7=0.42857

13/15=0.86666

Step-by-step explanation:

i dont know

if i did that right but your welcome

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