Solve the Equation (completing the square)

15 = x^2- 14x

Answers

Answer 1

Answer: x = -1, 15

Step-by-step explanation:

15 = x²- 14x

⇒ x²- 14x-15 = 0

⇒  x²- 15x+x-15 = 0

⇒ x (x-15) + (x-15) = 0

⇒ (x-15) (x+1) = 0

Now,

x= -1, 15


Related Questions

There are 4 triangles and 20 squares. What is the simplest ratio of triangles to total shapes?

Answers

Answer:

Step-by-step explanation:

Answer:

1:5

Step-by-step explanation:

To simplify the ratio of 4:20, we find the greatest common divisor of 4 and 20, and then we divide 4 and 20 by the greatest common divisor. And your answer is for every 1 triangle there is 5 squares.

Eight college students recorded how many hours they exercised every week. Then they measured their pulse (heartbeats per minute) while they were resting.
-
What relationship does the graph show?

1.) A positive relationship: The more you exercise, the higher your resting pulse.

2.) A negative relationship: The more you exercise, the lower your resting pulse.

3.) There is no relationship: Exercise has no effect on your resting pulse.

Answers

2.) A negative relationship: The more you exercise, the lower your resting pulse.

Is -96.22 an integer?

Answers

Answer:

-96.22 is not an integer.

Step-by-step explanation:

An integer is just basically whole numbers, which including no decimals, and fractions.

Note: Some decimals and fractions can be converted to whole numbers, meaning, they are intergers.

On the other hand, -96.22 can not become a whole number, concluded that it is not an interger.

11. Twenty-four students in Jamal's class are wearing tennis shoes. There are
thirty students in his class. Jamal says that 70% of his class is wearing
tennis shoes. Is Jamal correct? Explain your reasoning.

Answers

no more then 70 percent is wearing tennis shoes

Answer: Incorrect.

Step-by-step explanation: 24 out of 30 is 80.00%.

Step 1: We make the assumption that 30 is 100 % since it is our output value.

Step 2: We next represent the value we seek with x.

Step 3: From step 1, it follows that 100 % = 30.

Step 4: In the same vein, x % = 24 .

Step 5: This gives us a pair of simple equations:

100 % = 30(1).

x % = 24(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

100 % / x % = 30/24

Step 7: Taking the inverse (or reciprocal) of both sides yields

x/100 = 24/30

x = 80 %

If JKL is rotated 180 ° clockwise, which describes the location of J’?
(no picture)

Answers

If triangle JKL is rotated 180° clockwise, the location of J’ is: B. (6, 7).

The types of transformation.

Generally, there are different types of transformation and these include the following:

TranslationDilationReflectionRotation

What is a rotation?

A rotation can be defined as a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.

From the graph (see attachment), we have the following data:

Points at J = (-6, -7)Points at K = (-6, -2)Points at L = (-3, -7)

In Geometry, rotating a point 180° about the origin in a clockwise or counterclockwise (anticlockwise) direction would produce a point that has the coordinates (-x, -y).

By applying a rotation of 180° clockwise to triangle JKL, the location of J’ is given by:

Points at J = (-6, -7)   →  Points at J' = (-(-6), -(-7))

Points at J = (-6, -7)   →  Points at J' = (6, 7).

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Complete Question:

If JKL is rotated 180° clockwise, which describes the location of J'?

A. (-7, 6)

B. (6, 7)

C. (7,-6)

D. (7,6)

5,526,572,333 lottery tickets were sold last year. this year 4,223,526,869 lottery tickets were sold. about how many more tickets were sold last year than this year?

Answers

1303045464 more tickets were sold last year than this year.

According to the given question.

Number of lottery tickets were sold last year = 5,526,572,333

And, the total number of tickets sold this year = 4,223,526,869

To find the how many more tickets were sold last year than this year, we will subtract the number of of tickets sold this year from the number of lottery tickets were sold last year.

Therefore, the numebr of more tickets were sold last year

= 5,526,572,333 - 4,223,526,869

= 1303045464

Hence, 1303045464 more tickets were sold last year than this year.

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Select the verb that is in the incorrect tense.


Gabriel once camps with friends in his backyard. they stargazed and located planets and other constellations. Suddenly they saw a shooting star cross the sky, which thrilled the boys!


please help me if u cannn <3 also sorry if the points are ten its just that i only have 21 pointss

Answers

Answer:

change "camps" to "camped"


Solve equation.
4 x+7=-1

Answers

Answer:

or;4x=-1-7

or;4x=-8

or;x=-8/4

x=-2


If 5²ˣ ⁻ ³=1 , then x=
A 0.4
B 0.6
C 1.5
D 1.6
E 2

Answers

Answer:

goooodddddd luccckk

the answer is 1.5

What is 530,642.08 written in word form?

five hundred thirty million, six hundred forty-two and eight hundredths
five million, thirty thousand, six hundred forty-two and eight tenths
five hundred thirty thousand, six hundred forty-two and eight hundredths
five hundred thirty thousand, six hundred forty-two and eight thousandths

Answers

Answer:

Step-by-step explanation:

five hundred thirty thousand six hundred forty-two and eight hundredths

Five hundred thirty thousand, six hundred forty-two and eight hundredths

How many significant figures does this number have?

0.00000004 g

4
8
7
1

Answers

The number of significant figures in the number is 1

How to determine the number of significant figures in the number?

The number is given as

0.00000004

The zeros (0) in the number are not significant digits

So, we have:

0.00000004 ⇒ 4

The number 4 has 1 digit

Hence, the number of significant figures in the number is 1

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Is the va
20 = x + (2x8)-6

Answers

Answer:

10

Step-by-step explanation:

20= x+ 16 -6

20= x+ 10

20 - 10= x

x= 10

Please help due today

Answers

The second one 1/3f+36=85

how do i solve this picture #7

Answers

Step-by-step explanation:

- 2/3y-3/4=5

-2/3y=5+3/4

-2/3y=(20+ 3) /4

-2/3y=23/4

y=23/4*-3/2

y= -69/8

(simple computation) the formula for computing the discriminant of a quadratic equation ax^2 bx c

Answers

discriminant = b * 2 - 4 * a * c   the formula for computing the discriminant .

What is quadratic equation?

An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term.Examples of quadratic equations are: 6x² + 11x – 35 = 0, 2x² – 4x – 2 = 0, 2x² – 64 = 0, x² – 16 = 0, x² – 7x = 0, 2x² + 8x = 0 etc. From these examples, you can note that, some quadratic equations lack the term “c” and “bx.”

quadratic equation ax^2 }+ bx+  c = 0

a = 3 b = 4 c = 5  discriminant = b * 2 - 4 * a * c  print("discriminant is", discriminant)

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10 is at most the quotient of 5 and a number n? What the number form

Answers

The number form for the question you are asking is 789.363626273838484848

Please help giving brainliest

Answers

Answer:

  (d)  (-6, 0)

Step-by-step explanation:

Given graphed inequalities and a list of points, you want the point that is a "solution."

Assumptions

We assume the graphed inequalities are part of a system of two inequalities and that a "solution" is one that must satisfy both of them. Any solution point will be in the doubly-shaded area, or on the solid blue boundary next to that area.

Solution

Each of the given points is 6 units from the origin on one of the coordinate axes. The only such point that lies in the doubly-shaded area is (-6, 0) on the negative x-axis.

The point (-6, 0) is a solution.

__

Additional comment

We know the kinds of inequalities that can give rise to a graph like this, but we don't know the question for which one of these points would be a solution. That is why assumptions are necessary.

The point (0, 6), for example, could be a solution to the question, "what set of values satisfies x-y ≤ 1, but not x+y < 3?"

What is:
2 + | -5 + 4 |

Answers

Answer: 2

Step-by-step explanation:  2 + 1 =3 and 3 - 5 is -2 so -2 + 4 would equal 2

Hope this helps : P


Find the coordinates of the missing endpoint if B is the midpoint of AC.
C(5/3,-6), B(8/3, 4)

Answers

The coordinates of the missing endpoint are (11 / 3, 14).

How to determine the location of the missing endpoint of a line segment

Herein we find the coordinates of a endpoint and a midpoint of a line segment and the location of missing endpoint can be found by using the midpoint formula, whose definition is shown:

B(x, y) = 0.5 · A(x, y) + 0.5 · C(x, y)           (1)

If we know that B(x, y) = (8 / 3, 4) and C(x, y) = (5 / 3, - 6), then the location of the missing endpoint is:

(8 / 3, 4) = 0.5 · A(x, y) + 0.5 · (5 / 3, - 6)

(16 / 3, 8) = A(x, y) + (5 / 3, - 6)

A(x, y) = (16 / 3, 8) - (5 / 3, - 6)

A(x, y) = (11 / 3, 14)

The coordinates of the missing endpoint are (11 / 3, 14).

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i got this question on a test

1+7

a.blank
b.rabbit
c.blank
d.chicken

Answers

Answer:

d

Step-by-step explanation:

it's d because chicken has 7 letters and than +d which is 8 (the test might be hard )

50 pts to whoever solves these correctly

Answers

Answer: Q=Er^2/k ==> 1st option

g=4lπ^2/T^2 ==> 4th option

C=AJs^3/(km^2) ==> 2nd option

A=Fl/(Gx) ==> 4th option

w=m/(plh) ==> 1st option

Step-by-step explanation:

1. E=kQ/r^2

E*r^2=r^2 * kQ/r^2

Er^2=kQ

Er^2/k=kQ/k

kQ/k=Er^2/k

Q=Er^2/k

2. l=gT^2/(4π^2)

l*4π^2=gT^2/(4π^2) * 4π^2

4lπ^2=gT^2

4lπ^2/T^2=gT^2/T^2

g=4lπ^2/T^2

3. s^3=kCm^2/(AJ)

AJ*s^3=kCm^2/(AJ) * AJ

AJs^3=kCm^2

AJs^3/(km^2)=kCm^2/(km^2)

C=AJs^3/(km^2)

4. G=Fl/Ax

1/G=Ax/Fl

Fl*1/G=Fl * Ax/Fl

Fl/G=Ax

Fl/(G*x)=Ax/x

A=Fl/(Gx)

5. p=m/(lwh)

1/p=lwh/m

m*1/p=m*lwh/m

m/p=lwh

m/(p*lh)=lwh/(lh)

w=m/(plh)

This box is inch long, inch wide, and inch deep. What is the volume of the box?
inch³
My Progress
32
inch,
inch³
3
inch
1 inches
inch
23/10
inch³
Done →

Answers

From the given data

The length of the box is 32 inch

The breadth of the box is 3 inch

The deep of the box is 1 inch

We have to find the volume of the box

Formula of volume is

   volume = length × breadth × height

  volume = 32×3×1

  volume = 96 inch³

The volume of the box is 96 inch³.

What is geometry?

A field of mathematics known as geometry is described as "concerning the measurement, characteristics, and relationships of points, lines, angles, surfaces, and solids." Geometry is a branch of mathematics that focuses on points, lines, forms, and surfaces.

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Circle the value of the digit 5 in
256 934

Answers

The place value of the digit 5 in the given number 256,934 is equal to 50,000.

As given in the question,

Given number : 256,934

Place value of the digit 5 in 256,934

Place value of each digit in the given number :

Place value of 4 = 4

Place value of 3 = 30

Place value of 9= 900

Place value of 6 =6,000

Place value of 5 = 50,000

Place value of 2 = 200,000

Therefore, the place value of the digit 5 in the given number 256,934 is equal to 50,000.

The complete question is :

Circle the place value of the digit 5 in 256,934

A. 5,000  B.  50    C.  50,000     D.  500,000

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At a student government fundraiser, a notebook costs $5 and a t-shirt costs $11. If the total received for 70 items was $500, how many notebooks were sold"
O 20
O 25
O 45
O 50

Answers

Answer:

45

Step-by-step explanation:

t = number of t-shirts

n = number of notebooks

n + t = 70

5n + 11t = 500

n = 70 - t

5(70 - t) + 11t = 500

350 - 5t + 11t = 500

6t = 150

t = 25

n + t = 70

n + 25 = 70

n = 45

Answer: 45

Answer:

45

Step-by-step explanation:

Representación gráfica de 2 1/4

Answers

La representación pictórica de 2 ¼ es sombrear completamente 2 círculos de 3 y sombrear 1/4 parte del tercer círculo.

Aquí, el pictórico dado es 2 ¼.

El numerador es mayor que el denominador.

Entonces, esta también es una fracción impropia o mixta.

Entonces, primero dividiremos la fracción mixta pictórica como.

Ahora tenemos que sombrear completamente 2 círculos de 3 y sombrear 1/4 de la parte del 3er círculo como se muestra en la figura de abajo.

Para más ayuda, encuentra la representación en la figura.

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What is the equation and total cost

Answers

Check out the attached photo

What is the slope of a line perpendicular to the line whose equation is 4x + 10y = -140​

Answers

Answer:

mperpendicular = 5/2

Step-by-step explanation:

A class is making bags of candy for the school. They have 96 red candies, 72 blue candies, and 48 yellow candies What is the greatest number of bags they can make if each bag has the same contents?

Answers

Answer:

1 bag with all of them is the greatest bag im joking ofcourse
but

red

96
1.     96 cut
2.   48 cut

3.    32 cut

4.    24

6.    16

8.     12

blue
72
1.   72 cut

2    36 cut

3.     24

4.    18

6.     12

8.     9

yellow
48
1. 48 cut

2. 24

3  16

4. 12

6  8

Step-by-step explanation:

red

4.    24

blue

3.     24

yellow

2. 24

so 24 bags is the greatest number of bags
with

one bag having 4 red candies, 3 blue candies, and 2 yellow candies

Which expressions are equal to 8 to the power of 24

Answers

For the statement 8 to the power of 24, we get the expression as 2 ⁷².

We are given a statement:

8 to the power of 24

We need to form an expression for the same.

We can write the expression as:

8 ²⁴

This can also be written as:

8 = 2 × 2 × 2

So, we get that:

( 2 ³) ²⁴

Since we know the property of exponents, we will use it here.

We get the result as :

= 2 ⁷²

Therefore, for the statement 8 to the power of 24, we get the expression as 2 ⁷².

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Solve the equation. Show all steps of your work and justify each step with an algebraic property of equality.
3(x-2)=4(x+1)=-22

Answers

The solution of the equation 3 (x - 2) - 4 (x + 1) = -22 is,

⇒ x = 12

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

We have to given the function is,

3 (x - 2) - 4 (x + 1) = -22

Now, We can solve the expression as,

3 (x - 2) - 4 (x + 1) = -22

Use Multiplicative property;

3x - 6 - 4x - 4 = -22

Use addition and subtraction property,

- x - 10 = - 22

Use addition property and Add 22 both sides;

- x - 10 + 22 = - 22 + 22

- x + 12 = 0

Use subtraction property, Subtract 12 both sides;

- x + 12 - 12 = 0 - 12

- x = - 12

Multiply by -1 in both sides,

x = 12

Therefore, The solution of the equation 3 (x - 2) - 4 (x + 1) = -22 is,

⇒ x = 12

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