The solutions to a certain quadratic equation are x = 4 and x = -3. Write the equation in standard form below.

x2 + x - 12 = 0
x2 - x - 12 = 0
x2 - 7x + 12 = 0

Answer:

1/4

Step-by-step explanation:

8 divided by 2= 0.25=1/4

The fraction of the carrots that each friend takes will be 1/4 part.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

There are 8 carrots. Four companions take 2 carrots each.

The fraction of the carrots that each friend takes will be given as,

⇒ 2/8

Simplify the fraction, then we have

⇒ 2/8

⇒ 1/4

The small portion of the carrots that every companion takes will be 1/4 section.

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Answer:

x = 6, y = -2

Step-by-step explanation:

x-2y = 10

y = -6x +34

Substitute the second equation into the first for y

x - 2(-6x+34) = 10

Distribute

x +12x - 68 = 10

Combine like terms

13x -68 = 10

Add 68 to each side

13x - 68+68 = 10+68

13x = 78

Divide each side by 13

13x/13 = 78/13

x = 6

Now find y

y = -6x+34

y = -6(6)+34

y = -36+34

 =-2

Answer:

x = 6 y = -2

Step-by-step explanation:

x-2y = 10

x = 10 + 2y

y = -6x +34

y = -6(10 + 2y) + 34

y = -60 - 12y + 34

13y = -26

y = -2

x = 10 + 2(-2)

x = 10 - 4

x = 6

Answer:

independent and 1/16

Step-by-step explanation:

independent because you are not getting it you are just spinning.

1/4 times 1/4

i may be wrong on this

Answer:

$8.73 per package of candy bars

Step-by-step explanation:

10.25 - 1.52=

Answer:

1.6 + 1.6 + 1.6 + 3.1 = 7.9 miles walked

Answer:

#4: 4 hits

Step-by-step explanation:

At first, you are given the ratio 1/37 which you can scale to 148 by dividing and multiplying both by. So you divide 148/37 to reach 4 and then multiply 4 by 1 to find out that about four hits will prbably be made.

Answer:

the answer for number four is four and number five is 39

I am not sure about number 5 plz check                                                             somebody.

Step-by-step explanation:

Answer:

A mirror

Step-by-step explanation:

thats all

Step-by-step explanation:

Step 1:   Set up the formula for the surface area of a regular pyramid.

SA = [tex]\frac{p*h}{2} + B[/tex]

where :

Step 2:  Plug the perimeter of the base into the formula

you can calculate the perimeter by multiplying the length of one edge by the number of edges.

Step 3: plug the value of the slant height into the formula (it is not the perpendicular height)

Step 4: find the area of the base (depend on the shape of the base)

Hope it will find you well.

Answer:

d

Step-by-step explanation:

Answer:

C. 35

Step-by-step explanation:

7/40=x/200

200/40 x 7=35

Answer:

12

Step-by-step explanation:

Divide 48 into 4 parts

Answer:

(25:100)*48=

(25*48):100=

1200:100=12

Answer=12

Answer:

In 17 years time, the initial population of 3400, and growing at a rate of 5% will be ≈ 7792

Step-by-step explanation:

Here we have that the formula for population presented as follows;

[tex]A = P(1+r)^t[/tex]

Where:

A = Population after growth

P = Original population = 3400

r = 5% = 0.05

t = Time = 17 years

Population growing at a rate of 5% is thus given by the plugging in the above values into the population growth formula thus;

[tex]A = 3400 \times (1+0.05)^{17} = 7792.86[/tex]

Since we are presenting data relating to number of people, we round alwys down as the statistics should represent the number of whole people on ground.

Therefore, in 17 years time, the initial population of 3400, and growing at a rate of 5% will be ≈ 7792.

Answer:

Step-by-step explanation:

The growth rate is exponential. We would apply the formula for exponential growth which is expressed as

y = b(1 + r)^ t

Where

y represents the population after t years.

t represents the number of years.

b represents the initial population.

r represents rate of growth.

From the information given,

b = 3400

r = 5% = 5/100 = 0.05

t = 17 years

Therefore

y = 3400(1 + 0.05)^17

y = 3400(1.05)^17

y = 3400 × 2.2920183178

y = 7800 to the nearest thousand

Answer:

D.

t <= 4.

Step-by-step explanation:

15 + 3/2 t  <= 21

3/2 t <= 6

t <= 6 * 2/3

t <= 4.

Answer:

C, Last Ice Age

Step-by-step explanation:

A land bridge wouldn't be developed by humans. The only reasonable explanation would be the last Ice Age

A land bridge from Asia to the Americas was made possible by the last Ice Age.  So, the correct answer is C.

A land bridge is an isthmus or wider land connection between otherwise separate areas, over which animals and plants are able to cross and colonize new lands.

A land bridge from Asia to the Americas was made possible by the last Ice Age.

During the last Ice Age, much of the Earth's water was locked up in glaciers, causing sea levels to drop and exposing a land bridge between Asia and North America.

This allowed prehistoric people to migrate from Asia to the Americas, a journey that would not have been possible without the land bridge created by the last Ice Age.

Hence, A land bridge from Asia to the Americas was made possible by the last Ice Age.  So, the correct answer is C.

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Answer:

x = 65

Step-by-step explanation:

2x + 15 and 145 are vertical angles and congruent, thus

2x + 15 = 145 ( subtract 15 from both sides )

2x = 130 ( divide both sides by 2 )

x = 65

Answer:65

Step-by-step explanation:

2x+15=145. Because opposite angles are equal

2x+15=145

Collect like terms

2x=145-15

2x=130

Divide both sides by 2

2x/2=130/2

x=65

Answer:

one pint

Step-by-step explanation:

This is because one pint is larger than one cup, there are two cups in a pint.

One milliliter is way smaller than one liter and there are 0.473176473 liters in a pint.

Answer:

pint

Step-by-step explanation:

1 Pint is equal to 0.47317647299 liter.

Liter and Pint are the largest on there, and pint is bigger.

Hope this helps! :)

Answer:

-3

Step-by-step explanation:

To find the common ratio

Take the second term and divide by the first

6/-2 = -3

Check by taking the third term and dividing by the second

-18/6 = -3

And the fourth and dividing by the third

64/-18 = -3

The common ratio is -3

Answer:

-3

Step-by-step explanation:

-2(-3)=6

6(-3)=-18

etc...

Answer:

see below

Step-by-step explanation:

3( 4x - 3) + 8 = 2x + 10x -1

Distribute

12x - 9 +8 = 2x+10x -1

Combine like terms

12x - 1 = 12x - 1

Subtract 12x from each side

12x - 1 -12x = 12x - 1-12x

-1 = -1

This is true for all values of x

x = all real numbers

Answer:

All real numbers are solutions.

Step-by-step explanation:

3 ( 4x - 3 ) +8 = 2x + 10x - 1       Example 1:

12x - 9 + 8 = 12x  - 1                    3 ((4*1) -3) + 8 = (2*1) + (10*1) - 1

        - 12x = -12x                           3 ((4) - 3) + 8 = (2) + (10) - 1

      -9 + 8 = -1                                 ( 12 - 9 ) + 8 = 12 - 1

             -1 = -1                                            3 + 8 = 12 - 1

Example 2                                                       11 = 11

3 ((4*6) - 3) + 8 = (2*6) + (10*6) - 1

3 ((24) - 3) + 8 = (12) + (60) - 1

       72 - 9 + 8 = 72 - 1

              72 - 1 = 72 - 1

                    71 = 71

Answer:

(1,5)

Step-by-step explanation:

plug in the x and y values to see if they are equal in the equation. If not, then you know the answer is wrong.

Answer: if you need help ask

Step-by-step explanation:

First you start by finding a problem

Next you ask someone to help you with the problem, simple :)

Answer:

145/5

Step-by-step explanation:

5 to a student and 145 to everyone

145/5=29

29 is your answer

Hope this Helps

There are 29 students in the class.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Tasha hands out 5 note cards to each student in the class.

And, She hands out all of the 145 note cards contained in the package.

Here, 145 note cards contained in the package.

And, Tasha hands out 5 note cards to each student in the class.

Hence, Number of students = 145 / 5

                                            = 29

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Answer:

153.938040026...

Step-by-step explanation:

Remember Apple Pies R 2

A=π*r²

Remember Cherry Pie Delicious

C=π*d

Answer:

Area = 49 π cm²

Step-by-step explanation:

Radius = Diameter / 2 = 14 / 2 = 7 cm

Area = π r ²

Area = π (7)²

Area = 49 π cm²

Answer:

It'll be worth approximately $8779.3 after 5 years.

Step-by-step explanation:

Since it's compounded we need to use the appropriate formula to solve this problem, which is shown below:

M = C*(1 + r)^t

Where M is the final amount, r is the interest rate and t is the time elapsed in years. Applying the data from the problem we have:

M = 7500*(1 + 0.032)^5

M = 7500*(1.032)^5

M = 8779.2971

It'll be worth approximately $8779.3 after 5 years.

Answer:

Increasing both by the same amount of 2

Step-by-step explanation:

10 times 12=120,

and 11 times 13=143,

but 12 times 14 =168

An equation is formed of two equal expressions. The equation that can be used to find the value of x is x²+22x-168=0.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that Millie has a rectangular pen for her dog that measures 10 ft wide by 12 ft long. Now, she needs to increase the area by 168 ft, that too by increasing the width and length by the same amount. Therefore, the equation can be written as,

[tex](10+x) \times (12+x) = (10 \times 12) + 168\\\\120 + 10x+ 12x +x ^2 = 120+168\\\\120 + 22x+x^2=120+168\\\\x^2+22x-168 = 0[/tex]

Hence, the equation that can be used to find the value of x is x²+22x-168=0.

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Answer:

D) 2

Step-by-step explanation:

Absolute values are never negative, so B is wrong. Absolute value is the distance from zero, in this case, 2.

Theoretically, on a number cube, each side has an equal chance. There are 6 sides, and 2 is one of the sides, so then you subtract 1/6, which would leave you with 5/6.

D. 5/6

Answer:

x = - 12, x = 2

Step-by-step explanation:

Given

x² + 10x = 24

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(5)x + 25 = 24 + 25

(x + 5)² = 49 ( take the square root of both sides )

x + 5 = ±  = ± 7 ( subtract 5 from both sides )

HOPE THIS HELPS

Answer:

x  =  2 ,  − 12

Step-by-step explanation:

Use the formula  ( b /2 ) (^)2  in order to create a new term. Solve for  x  by using this term to complete the square.

Answer:

The ratio of shadow should be kept, then we have: x/25 = 3/5

=> x = 25 x 3/5 = 15

=> The flagpole is tall 15 feet

Hope this helps!

:)

Answer:

15 feet

Step-by-step explanation:

Length : shadow

3 : 5

X : 25

X/25 = 3/5

X = 25 × 3/5

X = 15