Which of the binomials below is a factor of this trinomial?
X^2 + 5x + 6

Answers

Answer 1

Answer:

(x + 2) , (x + 3) are factors

Step-by-step explanation:

Given

x² + 5x + 6

Consider the factors of the constant term (+ 6) which sum to give the coefficient of the x- term (+ 5)

The factors are + 2  and + 3, since

2 × 3 = 6 and 2 + 3 = 5 , thus

x² + 5x + 6 = (x + 2)(x + 3)

Answer 2
X^2+5x+6=26+15+16 over the time it’s solversd

Related Questions

Andrea is comparing the prices charged by two different taxi firms.

Firm A charges £20 for a 5 mile journey and £30 for a 10 mile journey, and there is a linear relationship between the price and the length of the journey.

Firm B charges a pickup fee of £3 and then £2.40 for each mile travelled.

Find the length of the journey for which both firms would charge the same amount.​

Answers

Answer: 17.5 miles

Step-by-step explanation:

P=price, L=length

Firm A:

P=2L+10

Firm B:

P=2.40L+3

2.40L+3=2L+10

L=17.5

The fare would be the same for 17.5 miles for both firms.

What are linear equations?

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given here, Firm A charges £20 for a 5 mile journey and £30 for a 10 mile journey . let the fixed component of the fare be k and charge for travelling per mile be x then we have,     20=5x+k. . . (1)

                                                   30=10x+k. . . .(2)

solving these two equations we get x=2 and k = 10

Now let the length of the journey that both firm charge the same is equal to  L and given here that firm B charges a pickup fee of £3 and then £2.40 for each mile travelled. Thus forming the equations we get

2L+10=2.40L+3

0.40L=7

      L=17.5

Hence, The fare would be the same for 17.5 miles for both firms.

Learn more about linear equations here:

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There are 45 eighth graders and 20 seventh graders in a school club. The president of this club wants 40% of the club’s members to be seventh graders. How many more seventh-graders must join the club in order to meet the president’s wishes? (Assume that the number of eighth-graders remains the same.)

Answers

Answer: Please Give Brainliest. Thank You!

10 more

The number of seventh-graders that must join the club in order to meet the president's wishes is 10.

Since there are 45 eighth graders and 20 seventh graders in a school club and the president of this club wants 40% of the club’s members to be seventh graders, we need to find the number of seventh graders that will be added to the school club to make their percentage 40 %.

Let the number of seventh-graders to be added be x.

So, the new number of seventh-graders is 20 + x and the new number of people in the club is 45 + 20 + x = 65 + x

Thus, the percentage of seventh graders in the club is thus

[tex]\frac{20 + x}{65 + x} X 100[/tex] %

Since this percentage equals 40 %, we have that

[tex]\frac{20 + x}{65 + x} X 100[/tex]% = 40 %

[tex]\frac{20 + x}{65 + x} = \frac{40}{100} \\\frac{20 + x}{65 + x} = 0.4[/tex]

Cross-multiplying we have

[tex]20 + x = 0.4(65 + x)[/tex]

Expanding the bracket, we have

[tex]20 + x = 26 + 0.4x[/tex]

Subtracting 20 from both sides we have

[tex]x = 26 - 20 + 0.4x\\x = 6 + 0.4x[/tex]

Subtracting 0.4x from both sides, we have

[tex]x - 0.4x = 6\\0.6x = 6[/tex]

dividing both sides by 0.6, we have

x = 6/0.6

x = 10

So, the number of seventh-graders that must join the club in order to meet the president's wishes is 10.

Learn more about percentages here:

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Hello if anyone is able to answer this please do I am not sure how to figure out the answer to this?????


Question-80% as a fraction

Answers

Answer:

[tex]\frac{80}{100}[/tex]

Step-by-step explanation:

All percentages are out of 100. Therefore, 80% is equal to [tex]\frac{80}{100}[/tex]. It can also be simplified to [tex]\frac{8}{10}[/tex] or [tex]\frac{4}{5}[/tex].

You can say 4/5 or 8/10 either way is correct actually !

*URGENT* Suppose 12 is raised to the second power, like this: 12^2.
Which answers show the inverse operation?
There is more than one correct answer. Select all that apply.

Answers

Answer:

12 ^ 1/2 or [tex]\sqrt{12}[/tex]

Step-by-step explanation:

12^2

We want to do the inverse operation, which is the square root

We can write the square root as

^ 1/2  or as [tex]\sqrt{ }[/tex]

So the inverse of squaring 12 is

12 ^ 1/2 or [tex]\sqrt{12}[/tex]

Two answers: Choice B, Choice D

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

Explanation:

Both of these represent the same idea. Square root notation is probably what you're more familiar with. It turns out that raising any positive number to the 1/2 power is the same as a square root. We can write

[tex]\sqrt{x} = x^{1/2}[/tex]

The 1/2 power notation may seem more clunky or confusing, but its helpful to extend to things like cube roots, fourth roots, etc.

The more general rule is

[tex]\sqrt[n]{x} = x^{1/n}[/tex]

which says the nth root of x is the same as x^(1/n).

what is 384 remainder 3 as a decimal

Answers

Answer:

U just add a .3      

Step-by-step explanation:

so it would be 384.3 i think

((1-sinθ)(1+sinθ))/(〖sin〗^2 θ)=〖cot〗^2 θ

Answers

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identities

sin²x + cos²x = 1 ⇒ 1 - sin²x = cos²x

cot x = [tex]\frac{cosx}{sinx}[/tex]

Consider the left side

[tex]\frac{(1-sin0)(1+sin0)}{sin^20}[/tex] ← expand numerator using FOIL

= [tex]\frac{1-sin^20}{sin^20}[/tex]

= [tex]\frac{cos^20}{sin^20}[/tex]

= cot²Θ = right side

A white-tailed deer can sprint at speeds up to 30 miles per hour. American bison can run at speeds up to 3,520 feet per minute. Which animal is faster and by how many miles per hour? There are 5,280 feet in one mile. A deer is 10 miles per hour faster than a bison.

Answers

3520/5280 = 2/3 of a mile per minute.

2/3 x 60 minutes per hour = 40 miles per hour.

40-30 = 10

Bison runs 40 miles per hour

The bison runs 10 miles an hour faster than the deer

Answer:

American bison is faster than the white-tailed deer by 10 more miles per hour.

Step-by-step explanation:

In 1 hour there are 60 minutes.

=> 3520 feet = 1 minute

=> 60 minutes = 3520 x 60

=> 211200 feet = 60 minutes

So, 211200 feet can be converted in miles.

=> 1 mile = 5280 feet

=> 211200 feet = x miles

=> x = 211200 / 5280

=> x = 40 miles per hour.

So, a white-tailed deer can run up to 30 miles per hour.

     an American bison can run up to 40 miles per hour.

American bison runs 10 more miles per hour than a white-tailed deer.

Use the figure below to find the measure of angle x.​

Answers

Answer:

70 degrees

Step-by-step explanation: this is an equilateral triangle. All of its angles are the same.

Try making 100 using:

5,5,5,5,5

?=100

Help ASAP!

Answers

Answer:

(5+5+5+5)*5

20*5=100

[tex]5\cdot5\cdot5-5\cdot5=125-25=100[/tex]

Determine if the ordered pair (6, 4) is a solution to the inequality

Answers

Answer:

[tex]\Large \boxed{\mathrm{Option \ D}}[/tex]

Step-by-step explanation:

(6, 4)

x = 6 and y = 4

y > -1/2x + 7

Plug in the values to check if it is true.

4 > -1/2(6) + 7

4 > -3 + 7

4 > 4

This statement is false.

(6, 4) lies on the line.

-4(-w-10)=
i need help don’t know what the answer is

Answers

Answer:

[tex]\boxed{4w+40}[/tex]

Step-by-step explanation:

Use the distributive property to evaluate the equation.

-4(-w - 10)

4w + 40

-4 * -w = 4w because two negatives cancel to make a positive value.

-4 * -10 = 40 for the same reason.

12. Write 0.8 as a fraction,
Pls explain in full detail.

Answers

Answer:

8/10

Step-by-step explanation:

10x10 is 100 8x10 would be 80 so 80/100=8/10

Answer:

8/10 = 4/5

Step-by-step explanation:

0.8 is 8-10th which means 8 divided by 10

reducing 8/10 to its lowest term since 8 and 10 has 2 as common factor, then

(8=2*4)/(10=2*5)

if 2 cancels out, then you are left with 4/5

21. Evaluate f(x) = 3x + 8 for x = 1.

Answers

Answer:

f(1) = 11

Step-by-step explanation:

f(x) = 3x + 8

Let x=1

f(1) = 3(1) +8

    = 3+8

   = 11

Which table shows a function that is decreasing over the interval (−2, 0)? A 2-column table with 4 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1. The second column is labeled f of x with entries 0, negative 5, 0, 5. A 2-column table with 4 rows. The first column is labeled x with entries negative 2, 0, 2, 4. The second column is labeled f of x with entries negative 15, negative 5, negative 20, negative 30 A 2-column table with 4 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0. The second column is labeled f of x with entries 2, 0, negative 10, negative 24.

Answers

Answer:

  A 2-column table with 4 rows. The first column is labeled x with entries negative 3, negative 2, negative 1, 0. The second column is labeled f of x with entries 2, 0, negative 10, negative 24.

Step-by-step explanation:

The table shown in the attachment has the function that is decreasing in the interval of interest.

"Decreasing" means that for increasing x-values, each f(x) value is less than the one before.

Answer:

The answer is C

Step-by-step explanation:

I just took the test and got it right.

Hopefully this helps you :)

pls mark brainlest ;)

The Cube root of 66 is between which two integers?

Answers

Answer:

4 and 5

Step-by-step explanation:

cube root of 66 is 4.041240021

please help :) A scientific question may lead to a(n) blank , which can be tested.

Answers

Answer:

Hypothesis

Step-by-step explanation:

The hypothesis is an educated guess that can be tested through experimentation.

In Exercise 26, find the height of the right prism.

Answers

Answer:

h= 9.473684 in.

Step-by-step explanation:

1/2(8)(15)*2+2(15h)+8h=480

120+38h=480

38h=480-120

38h=360

h= 9.473684 in.

How to do this question plz answer me step by step plzz plz ​

Answers

Answer:

New depth of the milk will be 4 cm.

Step-by-step explanation:

If the carton (shaded side) is standing vertically, milk in the box will acquire the dimensions of the box.

Length of the cuboid formed by the the milk = 8 cm

Width = 5 cm

Height = 12 cm

Volume of the cuboid formed by the milk in the carton = Length × width × height

V = 8 × 5 × 12

  = 480 cm³

If the carton is turned so that the carton stands on the shaded face,

Volume of the milk remains unchanged but the dimensions of the cuboid formed by the milk inside the carton will get changed.

Length = 15 cm

Width = 8 cm

Height = h cm

Then volume of the cuboid = Length × width × height

V = 15 × 8 × h

480 = 120h

h = [tex]\frac{480}{120}[/tex]

h = 4 cm

Therefore, new depth of the milk will be 4 cm.

Need help please will give you 5 stars and good rating

Answers

Answer:

two complex solutions

Step-by-step explanation:

2x^2 + 4x+4

Factor out 2

2( x^2+2x+2)

Using the discriminant on the inner term

b^2 -4ac  where a=1  b=2  c=2

2^2 -4 (1) (2)

4 - 8

-4

Since the  discriminant  is negative, we will have 2 complex solutions

Answer:

  2 complex solutions

Step-by-step explanation:

Given the standard form quadratic ...

  ax^2 +bx +c

The expression b^2-4ac is called the "discriminant." Its value can be used to predict the type of solutions. Here, we have ...

  a=2, b=4, c=4

so the discriminant is ...

  d = b^2 -4ac = 4^2 -4(2)(4) = -16

Because the discriminant is negative, we can predict there are 2 complex solutions.

__

The graph has no x-intercepts, confirming there are 2 complex solutions.

What is the main difference between simplifying and solving? Which one gives you a value for a variable? How do you know the difference?

Answers

Answer:

when you simplify you continue until you get to the simplest form but when you solve you continue until you get an answer. Solving gives you a value for a variable. You mean simplify and get 2x - 10 but when you solve you continue until you get x as 5

Step-by-step explanation:

Answer: ok, so simplifying is when you make something less complex or complicated. Solving means an expression can be used for representating  the solutions. for Example, say if you have the equation x+y=2x-1 is solved for the unknown x by the expression x=y+1. solving gives you the value for the variable. you know the difference by when you are simplifying you are trying to make the problem less complicated or less complex. and when you are solving you are trying to find the answer to the problem..

Step-by-step explanation:

Shelly and Terrence earned points in a game by completing various tasks. Shelly completed x tasks and scored 90 points on each one. The expression below shows Terrence's total points in the game: 90x − 20 What does the constant term of the expression represent? (2 points)

Answers

Answer:

the constant term of the expression represents the difference between Shelly and Terrence points.

Point E is on line segment DF. Given DE=9 and DF=11, determine the length EF.

Answers

Hey there! I'm happy to help!

The two letters of the line segment describe the end points, or the points that the line is in between.

We want to find the distance between E and F. The distance between D and E is 9, while the distance between D and F is 11. We see that from D to F is 2 more than D to E, which must mean that the distance between E and F is 2.

The length of EF is 2.

Have a wonderful day! :D

A fish jumps out of the water at a speed of 12 feet per second. The height y (in feet) of the fish above the surface of the water is represented by the equation y=-16x^2+12x, where x is the time (in seconds) since the jump began. The fish reaches its highest point above the surface of the water after 0.375 seconds. How far above the surface is the fish at this time?

Answers

Answer:

The fish is 2.25 ft above the surface at 0.375 seconds

Step-by-step explanation:

Given:

y=-16x^2+12x

x=0.375 seconds

Substitute x=0.375 into the equation

y=-16x^2+12x

= -16(0.375)^2 +12(0.375

= -16(0.140625) + 4.5

= -2.25 + 4.5

= 2.25

y=2.25 ft

The fish is 2.25 ft above the surface at 0.375 seconds

Please could I have some help? Seven squared equals seven times .........

Answers

Answer:

[tex]\large \boxed{\mathrm{seven }}[/tex]

Step-by-step explanation:

[tex]7^2[/tex]

A number squared also means that the number is multiplied by itself twice.

[tex]7^2 =7 \times 7[/tex]

We know that seven square is equal to 7*7
So in the question they are asking 7 square equals to 7 times
Answer is 7
7 square=7 times 7

10 [25-{8-6 (16-13)}÷5​

Answers

Answer:

70

Step-by-step explanation:

to solve : start wit the inside brackets first

10 [25-{8-6 (16-13)}÷5​   start 16-3

10[25-{8-6(3)}÷5           then multiply 6 and 3

10[25-{8-18}]÷5              then subtract 8-18

10[25-(-10)]÷5                

10[25+10)÷5                  add numbers inside brackets

10×35÷5=70                 multiply and divide

Please help ! First one to give correct answer gets brainliest!

Answers

Answer:

(4x+1)²

Step-by-step explanation:

Write the last 4 digits of a telephone number (each digit MUST be different--ex. 5237). List all the 4-digit numbers you can make using those 4 digits.

Answers

Answer:

5040

Step-by-step explanation:

All the possible Numbers that can be placed in the last for places =0,1,2,3,4,5,6,7,8,9

If all the digits  have be different , then

= 10 x 9 x 8 x 7

= 90 x 56

=  5040   are total no. of 4-digit numbers can be made using those 4 digits.

(04.01 LC) The science club surveyed 50 students about the number of science courses in which they were enrolled and the time it took them to complete their homework. Classify the random variables from the survey. (2 points) Select one: a. Number of science courses, continuous; time to complete homework, continuous b. Number of science courses, continuous; time to complete homework, discrete c. Number of science courses, discrete; time to complete homework, continuous d. Number of science courses, discrete; time to complete homework, discrete e. Unable to determine from information given

Answers

Answer:

The correct option is;

c. Number of science courses, discrete; time to complete homework, continuous

Step-by-step explanation:

There are two types of random variables, discrete random variables and continuous  random variables

Discrete random variables are variables that are always re-presentable by a finite countable number, such that discrete random variables can be taken as a count of items count

Therefore, as the number of science courses are fixed and such that a specific number can be ascribed to the courses at any time (except there are changes), is a discrete random variable

A continuous random variable is one whose possible values are infinite and are generally measurements of values of such as weight, height, time, and amount

Therefore, the time to complete the homework is a continuous random variable.

A pair of parallel lines intersected by a transversal and forms same side interior angles that are in a 5:1 ratio. what are the measures of two same side interior angles?

Answers

Answer:

1st side: 150

2nd side: 30

f(x) = x^2. What is g(x)?

Answers

The point shown on g(x) is (1,3)

If x = 1 and y = 3, this means x is multiplied by 3 ( 1 x 3 = 3)

This makes g(x) 3x^2

The answer is A.

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