when a number x is added to it's square, the total is 12. find two possible values of x

Answers

Answer 1

Answer:

x=3 or x=−4

Step-by-step explanation:

when a number x is added to it's square, the total is 12. find two possible values of x

x+x^2=12

x^2+x=12

x^2+x−12=12−12

x^2+x−12=0

(x−3)(x+4)=0

x−3=0 or x+4=0

x=3 or x=−4

x=3 or x=−4


Related Questions

Harper surveyed 800 of the students in her school about their favorite color. 424
students said their favorite color was blue. What percentage of the surveyed students
said their favorite color was blue?

Answers

Using it's concept, it is found that the percentage of students surveyed that said their favorite color was blue was of 53%.

What is a percentage?

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

[tex]P = \frac{a}{b} \times 100\%[/tex]

In this problem, 424 out of the 800 students surveyed said their favorite color was blue, hence the percentage is given by:

[tex]P = \frac{424}{800} \times 100\% = 53\%[/tex]

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What is the volume of a gift box with a length of
12 inches, a width of 5 inches, and a height of
3 inches?

Answers

Answer:

180 inches

Step-by-step explanation:

The volume of a rectangular prism is length x width x height. So you would do (12)x(5)x(3) which would get you 180 inches.


EASY POINTS Which of the following is best defined as segments that intersect at a right
angle?
A. Intersecting segments
B. Perpendicular segments
C. Parallel segments
D. Coplanar segments

Answers

Answer:

I would say B.

Step-by-step explanation:

Perpendicular lines meet at a right angle.

Answer: B

Step-by-step explanation:

A group of 5 friends each have x action figures in their collections. Each friend buys 6 more action figures. Now the 5 friends have a total of 150 action figures. How many action figures did each friend start​ with?

Answers

Answer:

29

Step-by-step explanation:

The problem is 5x + 6 = 150

I subtract 6 from each sides except the one with the variable.

6 - 6 = 0 and 150 - 6 = 144.

Then I bring 5x down.

Then I divided 5x with 5 and 144 with 5.

I got 28.8 for x, which means the friends had 28.8 action figures each.

And I don't think it would be possible for them to have 28.8 action figures, so you round to a whole number which would give you the answer 29.

I think I that makes sense.

Which statements can be used to accurately compare the functions? Select two options. [ g(x) has the lowest minimum. f(x) has the greatest maximum. All three functions have a y-intercept. All three functions have an x-intercept. 2 The domain of all three functions is the same.

Answers

The statement all three functions have a y-intercept and the statement f(x) has the greatest maximum can be used to accurately compare the functions.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

From the graph, we can see all the functions have y-intercept:

At x = 0

f(0) = 1

g(0) = -1/2

h(0) = -5

The f(x) has the greatest maximum, which is 10

Thus, the statement all three functions have a y-intercept and the statement f(x) has the greatest maximum can be used to accurately compare the functions.

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Find the area of the circle. A circle has a diameters of 17 centimeters. Pi value is 3.142

Answers

Answer:

Area of the circle = 227.0095 cm^2

Step-by-step explanation:

Given:

Diameter (D) = 17 cmπ = 3.142

To Find:

Area of the circle

Soln:

We know that,

Area of the circle: πr²

where:

π = 3.142r = radius

But we don't know the radius,as the diameter is given.We could use the formula of diameter & plug the value of it do find the radius.

We know that,

[tex] \rm \: Diameter = 2(r)[/tex]

Where

r = radius

Substitute the value of Diameter:

Diameter = 2r

17 = 2r

17/2 = r

8.5 = r

r = 8.5

Now we got the radius, so substitute radius onto the formulae:

Area of the circle = πr²Ar(circle) = π(8.5)²Ar(circle) = 72.25π(Answer in terms of π)Ar(circle) = 72.25 * 3.142Ar(circle) = 227.0095 cm^2

[tex]\text{Area of circle} = \pi\cdot \text{Radius}^2\\\\\\~~~~~~~~~~~~~~~~~~=\pi~ \left( \dfrac{\text{Diameter}}2 \right)^2\\\\\\~~~~~~~~~~~~~~~~~~=3.142 \left(\dfrac{ 17}2 \right)^2\\\\\\~~~~~~~~~~~~~~~~~~=227.0095~ \text{cm}^2[/tex]

Four interior angles of a pentagon measure 88°, 118°, 132°, and 100°. What is the measure of the fifth interior angle?

82°
92°
102°
112°

Answers

Answer:

102 deg

Step-by-step explanation:

The sum of the interior angles of a  n-gon

   are equal to   ( n-2)*180

     for a pentagon   ( 5-2)(180) = 540

88+118+132+100 + x = 540          x= 102 deg

Answer:

C. 102 is correct

Step-by-step explanation:

just took test

WHAT ARE THE ANSWERS TO 1,2,3,4 SOMEONE PLEASE HELP ME!!!!

Answers

An expression is defined as a set of numbers, variables, and mathematical operations. The correct option for 1,2,3, and 4 are C,B,A, and C, respectively.

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

A.) The Set which represents the integers is in the third option.

{.....,-3,-2,-1,0,1,2,3......}

B.) The property that is shown is option B, the cumulative property of multiplication.

C. The expression can be rewritten as,

4(x+5)-3(x+2) = 14

4x + 20 - 3x - 6 = 14

Thus, the correct option is the first option.

D.) The simplification of the expression (x⁵y²z)/(x³y⁶) can be done as,

(x⁵y²z)/(x³y⁶) = (x²z)/(y⁴)

Thus, the correct option is C.

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8 is added to the quotient of 36 divided by 4

Answers

Answer: (36/4)+8

Step-by-step explanation: brainliest?

Answer:

36/4 +8 = 17

Step-by-step explanation:

thanks and brainliest

what is the surface area of this? giving out 30 pts

Answers

Hello. The answer would be 35in2.

What is the volume of the solid

Answers

Answer:

A.264

Step-by-step explanation:

((Area Of triangle*height)=Volume

Area of triangle is the base of the triangle multiplied by height of triangle divided by 2

((8*6)/2)*11=264

Which is the best estimate of the distance between the point (-25, 10) and the origin?
O 8 units
O 15 units
O23 units
O 27 units

(Please answer!)

Answers

Answer:

27 Units

Step-by-step explanation:

To find the distance using x and y components, use the Pythagorean theory [tex]a^2 + b^2 = c^2[/tex]. Set a as your x-coordinate and b as your y-coordinate (although you can flip them if you so desire). The result will you the square of your distance, so take the square root.

Alternatively, we can solve for C and find that [tex]c = \sqrt{a^2 + b^2}[/tex] or in this case [tex]distance = \sqrt{-25^2 + 10^2}[/tex].

This shows us that distance = 26.93 which is close enough to 27.

For more information: https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-geometry/cc-8th-pythagorean-theorem/v/the-pythagorean-theorem

If sine of the quantity x plus y end quantity equals one half times sine of x plus radical 3 over 2 times cosine of x. What is the value of y?


A. pi over 2

B. pi over 3

C. pi over 4

D. pi over 6

Answers

The value of y from the given trig expression is pi/3 rad

Trigonometry identity

These identities are expressed in terms of sine, cosine and tangent

Given the expression

[tex]sin(x+y)=\frac{1}{2}sinx+\frac{\sqrt{3}}{2} cosx[/tex]


Expand sin(x+y)

sin(x+y) = sinxcosy + cosxsiny

Compare both equations

cosy = 1/2

y = arccos(1/2)

y = 60 degrees

y = pi/3 rad

Hence the value of y from the given trig expression is pi/3 rad

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Answer:

The answer is pi/4

When you input all the other values into the equation, they aren't true. When you input pi/4 the equation is true.

y= x^2-4x+3 in vertex form

Answers

Answer:

[tex]y=(x-2)^2-1[/tex]

Step-by-step explanation:

Complete the square

[tex]y=x^2-4x+3\\\\y+1=x^2-4x+3+1\\\\y+1=x^2-4x+4\\\\y+1=(x-2)^2\\\\y=(x-2)^2-1[/tex]

What is the answer to 9!= and 12!=

Answers

Answer:

permutation is multiplying numbers from the number given to its last end. so that 9*8*7*6*5*4*3*2*1=is answer. thesame for 12!

Answer:

9! = 362,880

12!=479,001,600

Step-by-step explanation:

the symbol ! simply means factorial

9! = 9×8×7×6×5×4×3×2×1= 362,880

12! = 12×11×10×9×8×7×6×5×4×3×2×1=479,001,600

Help :') ................................

Answers

Answer:

1. 90

2. 120

3. 30

4. 60

Step-by-step explanation:

Hope it helps

Reliable food sources and the ability to settle in one place contributed to what?
A. The Architectural Revolution.
B. Equal distribution of resources to all.
C. The beginning of hunter-gatherer societies.
D. Growth of the world's population.

Answers

Answer: A: sorry if I'm wrong but that's what I was told

Step-by-step explanation:

Point T is on line segment S U ‾ SU . Given S T = 6 ST=6 and T U = 10 , TU=10, determine the length S U ‾ . SU

Answers

If Point T is on the line segment S U, then ST + TU = SU, Hence the length of SU is 16.

What is addition?

The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.

If Point T is on the line segment S U, then ST + TU = SU

Given;

S T = 6 and T U = 10

Substitute

SU = ST + TU

SU = 6 + 10

SU = 16

Hence the length of SU is 16.

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evaluate 10 + 8÷4 - 12

Answers

Answer:

0

Step-by-step explanation:

evaluate 10 + (8÷4) - 12

Answer:

0

Step-by-step explanation:

First of all we need to divide then add then only subtract

what is the median data set 25, 17, 38, 11,

Answers

Answer:

21

Step-by-step explanation:

Answer:

Median = 21

Step-by-step explanation:

Arrange in ascending order,

→ 11, 17, 25, 38

Now take the middle two,

→ 17 & 25

Then the median data will be,

→ (17 + 25)/2

→ 42/2 = 21

Hence, the median is 21.

Solve the following equations for 0 ≤ theta ≤ 360º cosec(2 — 45°) = 2​

Answers

Step-by-step explanation:

here ,

[tex]cosec \alpha = \frac{1}{ \sin( \alpha ) } [/tex]

now,

cosec(2-45°)=2

or,

1/sin(2-45°) =2

or,

1/sin2cos45°-cos2sin45=2

or,

[tex] \frac{1}{ \sin(2) \frac{1}{2} - \cos(2) \frac{1}{2} } = 2[/tex]

or,

sorry I have that much qualifications to work on this question and hoping this much will make bit easy for you to solve it further

You purchase a new car today.the value of that car depreciates based on the function f(t)=12,000(0.96)^t, where t is measured in years after purchase. How much is the car worth after 3/2 years, rounded to the nearest dollar

Answers

Considering the definition of exponential function, the value of the car is 11,287.25 dollars.

What is exponential function

An exponential function is one in which the independent variable x appears in the exponent and has a constant a as its base. Its expression is:

f(x)= aˣ

Being a a positive real, a > 0, and different from 1, a ≠ 1.

When 0 < a < 1, then the exponential function is a decreasing function and when a > 1, it is an increasing function.

What is the price of the car

In this case, the value of that car depreciates based on the function f(t)=12,000×[tex]0.96^{t}[/tex] where t is measured in years after purchase.

After 3/2 years, the value of the car is calculated as:

f(3/2)=12,000×[tex]0.96^{3/2}[/tex]

Solving:

f(3/2)= 11,287.25

Finally, the value of the car is 11,287.25 dollars.

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which expression represents the following calculation? subtract 1.9 from the product of 7.4 and 3.
A (7.4 + 3) - 1.9
B 7.4 x (3 - 1.9)
C (7.4 x 3) - 1.9
D (7.4 x 1.9) - 3

Answers

Answer:

The answer to the question is C

Step-by-step explanation:

as the question state that 1.9 is subtracted from the 7.4×3 so tge 1.9 will be removed ffrom it .

PLSSS HELPP Match the value to the correct image. Not all values will be used.
Find the approximate surface area of each right regular prism.








arrowRight

arrowRight

arrowRight

Answers

Answer:

open your book and start reading, you should study before the open your book and find it yourself

2x-3y=7
-3x +7y = - 8

4x-3y = 9
2x + 3y = 9

SOLVE BOTH EQUATIONS??

Answers

Answer:

(5, 1 ) and (3, 1 )

Step-by-step explanation:

2x - 3y = 7 → (1)

- 3x + 7y = - 8 → (2)

multiplying (1) by 3 and (2) by 2 and adding will eliminate x

6x - 9y = 21 → (3)

- 6x + 14y = - 16 → (4)

add (3) and (4) term by term to eliminate x

0 + 5y = 5

5y = 5 ( divide both sides by 5 )

y = 1

substitute y = 1 into either of the 2 equations and solve for x

substituting into (1)

2x - 3(1) = 7

2x - 3 = 7 ( add 3 to both sides )

2x = 10 ( divide both sides by 2 )

x = 5

solution is (5, 1 )

------------------------------------------------------------

4x - 3y = 9 → (1)

2x + 3y = 9 → (2)

adding the 2 equations term by term will eliminate y

6x + 0 = 18

6x = 18 ( divide both sides by 6 )

x = 3

substitute x = 3 into either of the 2 equations and solve for y

substituting into (2)

2(3) + 3y = 9

6 + 3y = 9 ( subtract 6 from both sides )

3y = 3 ( divide both sides by 3 )

y = 1

solution is (3, 1 )

MEAN, MEDIAN AND MODE OF GROUPED DATA

Answers

See the attached files!!!!

if y=4 when x= -4, find y when x=7

Answers

Answer:

Answer:y=-7

Step-by-step explanation:

When x=-4 then y=4 and if x=7 then y=-7

Because y=-x

answer this, will give brainlist​

Answers

Answer:

(-3, -10)

Step-by-step explanation:

We are asked to solve the system of equations simultaneously.

We need to equate the equations.

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

Solving :

⇒ -4 + 2x = 4x + 2

⇒ 4x - 2x = -4 - 2

⇒ 2x = -6

x = -3

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

Finding y :

⇒ y = 4(-3) + 2

⇒ y = -12 + 2

y = -10

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

Hence, the solution :

(-3, -10)

We have to solve them graphically as per question

y=-4+2x

Some points has already been found

y=4x+2

Graph attached

Solution is

(-3,-10)

Please help I will mark Brainly

Answers

The first number is always x. The second number is always y. Therefore X = 1

Multiply:
(5x−1)(5x+4)

Answers

Answer: 25x^2+15x-4

Step-by-step explanation:

Multply 5x by the other 5x

25x^2

Multiply 5x by 4

20x

Multiply -1 by 5x

-5x

Multiply -1 by 4

-4

Add them together

25x^2+20x-5x-4

Combine like terms

20x-5x=15x

25x^2+15x-4

Answer: C) 25x^2 + 15x - 4

Step-by-Step Explanation:

To open double brackets we have to multiply each term in the first bracket with each term in the second bracket.

Therefore,
=> (5x - 1)(5x + 4)
= 5x * 5x + 5x * 4 - 1 * 5x - 1 * 4
= 25x^2 + 20x - 5x - 4
=> 25x^2 + 15x - 4
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