7.
Rewrite the expression (4x² + 5x) ²-5(4x ² + 5x) – 6 as a product of four linear factors.

Answers

Answer 1

Answer:

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

Step-by-step explanation:

(4x² + 5x)² - 5(4x² +5x) - 6

= (4x² + 5x)² - 6(4x² +5x) + 1(4x² +5x) -6

= (4x² + 5x)(4x² +5x -6) +1 (4x² +5x -6)

= (4x²+5x-6)(4x²+5x+1)

= (4x² + 8x - 3x - 6)(4x² + 4x + x +1)

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

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


Related Questions

Match each linear equation to its slope and y-intercept.
slope:2, y-intercept:
-3+5y = 4
slope:2, y-intercept: 2
5y-1 =15
slope:$, y-intercept:
2y-3.1 = 7
slope:6, y-intercept: 3
2y=5T+7
slope:-5, y-intercept: 5

Answers

Answer:

-x + 5y = 4

5y = x + 4

y = x/5 + 4/5

Slope: 1/5

Y-intercept: 4/5

5y - x = 15

5y = x + 15

y = x/5 + 3

Slope: 1/5

Y-intercept: 3

2y - 3x = 7

2y = 3x + 7

y = 3/2x + 7/2

Slope: 3/2

Y-intercept: 7/2

2y = 5x + 7

y = 5/2x + 7/2

Slope: 5/2

Y-intercept: 7/2

The ratio of boys to girls at a party was 6:7 if there were 28 girls how many people attended the party

Answers

Answer:

52

Step-by-step explanation:

6+7=13

6:7=13

x:28

28/7=4

so you have to multiply by 4

4x6=24

24 boys and 28 girls

24+28=52

Answer:

52

Step-by-step explanation:

Lets put the ratio like this: 6x (boys) : 7x (girls)

because we know that the amount of girls is 28 we can set them equal as so:

7x = 28

÷ divide both sides by 7

x = 4

now add 6x + 7x to get the total people = 13x and because x equals 4, we can multiply 13 by 4. Which is 52

HOPE THIS HELPS :)

Find the monomial if the expression is a cube of that monomial (find the cube root)

-27/64a^9b^6
-0.0001a^3n+3
I can't figure this out and need helppppppppp

Answers

Answer:

first one is -3/4a^3b^2

Step-by-step explanation:

i dont know the second one and i need help on that one too im sorry

The monomial of the functions are;

1. - 3/4 a³b²

2. - 0.1 aⁿ⁺¹

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

the expression are;

1. - 27/64 a⁹b⁶

2. - 0.001 a³n³ⁿ⁺³

Now,

Solve the expression as;

1. - 27/64 a⁹b⁶

Take cube root, we get;

∛- 27/64 a⁹b⁶ = ∛ - 3 × - 3 × - 3/4×4×4 a³a³a³ b²b²b²

                     = - 3/4 a³b²

And,  - 0.001 a³n³ⁿ⁺³

∛ - 0.001 a³n³ⁿ⁺³ = ∛-0.1×0.1×0.1 aⁿ⁺¹ aⁿ⁺¹ aⁿ⁺¹

                         = - 0.1 aⁿ⁺¹

Thus, The monomial of the functions are;

1. - 3/4 a³b²

2. - 0.1 aⁿ⁺¹

Learn more about the monomial visit:

https://brainly.com/question/17822565

#SPJ2

hello.. kindly help me. i'm a bit confused because the answer is negative..see the attached picture : D​

Answers

Step-by-step explanation:

When you get negative it is ok.

It means you have a discount here, not really increase but decrease in price.

Here you have:

(1680 - 4200)/4200*100% = - 60%

It is called 60% mark down or 60% discount

Let ABC be an isosceles triangle with AB = AC and ∠BAC=30°. Side AB and the median AD contain points Q and P respectively (points P and Q are not at point A) in such a way that PC=PQ. Find m∠PQC.

Answers

Answer:

15°

brainlest

Step-by-step explanation:

Since P is on the median of ΔABC, it is equidistant from points B and C as well as from C and Q. Thus, points B, C, and Q all lie on a circle centered at P. (See the attached diagram.)

The base angles (B and C) of triangle ABC are (180° -30°)/2 = 75°. This means arc QC of the circle centered at P has measure 150°. The diameter of circle P that includes point Q is defined to intersect circle P at R.

Central angle RPC is the difference between arcs QR and QC, so is 180° -150° = 30°. Inscribed angle RQC has half that measure, so is 15°.  Angle PQC has the same measure as angle RQC, so is 15°.

Angle PQC is 15°.

can u answer this plz thanks

Answers

Answer: 3/4 of 8 just means 3/4 x 8, which is 6 miles. Do the same with 3/5 x 10, which is also 6 miles. Therefore both of them walked the same distance. Please mark me brainliest!

Simplify the ratio 18 8

Answers

Answer:

9:4

Step-by-step explanation:

Here is the math to illustrate better:

18/2 = 9 and 8/2 = 4

Thus, The 18:8 ratio simplified

Enter the number in scientific notation. 86,792 =

Answers

Answer:

8.6792 × 10 4 (I don't know how to make the four smaller but its 10 to the power of 4).

Step-by-step explanation:

8.6792 × 10 4. is the scientific notation

Someone please help with this math

Answers

Woahhh hot emo girls??

The sizes of the angles in degrees of e triangles are.

2x+7
2x
X+18
Use this information to write down an equation in terms of x

Answers

(2x + 7) + (2x) + (x + 18) = 180

5x + 25 = 180

5x = 155

x = 31 °

Write the equation of the parabola with a focus of (-5,0) and directrix of x=7

Answers

Answer:

[tex]\left(y-5\right)^2=-14\:\left(x-\frac{7}{2}\right)[/tex]

Step-by-step explanation:

Answer:

x=(y-5)^2/14 +7/2

Pls help me asap!! Only answer if u know the correct answer! Thanks! :)

Answers

The answer would be 168 ft tall!

Step by step:

If each floor is 12 ft high, then we can multiply any number by that to get the ft high.

Since there is 14 floors, we can multiply it by 12.

Hope this helped!! :)

12*14=168

Hope this helps!

How do you solve 5x+17>5(2x+1) algebraically?

Answers

Answer:

x < 12/5

Step-by-step explanation:

First, distribute 5 among everything inside the parenthesis to get 5x + 17 > 10x + 5.

Next, subtract 5 on both sides to get

5x + 12 > 10x.

Afterwards, subtract the 5x on both sides to get 12 > 5x.

Finally, divide 5 on both sides to get 12/5 > x (You can always flip it around so that the x is on the other side btw.) Answer is written above⤴⤴⤴.

Hope this helps you :)

Annie's math test had 25 questions. She got 84% correct. How many problems did she get wrong?

Answers

She got 4 wrong because if you find how much is 84% of 25 by multiplying 84% times 0.25 you would get 21. In this case 21 is 84% of 25 and if you were to subtract 25 to 21 you would get 4. So she got 4 wrong

After the temperature rose 6°, the thermometer read 64°F.

What is an equation that can be used to find x, the temperature before the 6° increase.

Drag the number, symbol, or operation sign to each box to complete the equation.

Answers

Answer: 64 - 6 = x

Step-by-step explanation:

Answer:

64-6=x

Step-by-step explanation:

I took the test.

Solve for x.

4/5(x−3/10)=−2 1/4

Enter your answer as a mixed number in simplest form in the box.

Answers

Answer:

x = -201/80

Mixed form: x = -2 41/80

Step-by-step explanation:

Value of x =  [tex]-2\frac{1}{4}[/tex]

What is algebraic equation?

Algebraic equation, statement of the equality of two expressions formulated by applying to a set of variables the algebraic operations, namely, addition, subtraction, multiplication, division, raising to a power, and extraction of a root.

Examples: (y²x² + 2xy – y)/(x – 1) = 12.

Given, equation

[tex]\frac{4}{5}(x- \frac{3}{10} )[/tex] = [tex]-2\frac{1}{4}[/tex]

⇒4/5[(10x-3)/10] = -9/4

⇒2/5[(10x-3)/5] = -9/4

⇒(20x-6)/25 = -9/4

⇒80x - 24 = -225

⇒80x = -225 + 24

⇒x = -201/80

⇒x = -2.5125

⇒x = [tex]-2\frac{1}{4}[/tex]

Hence, the value of x in simplest mixed number is    [tex]-2\frac{1}{4}[/tex]

Learn more about algebraic equation here:

https://brainly.com/question/24875240

#SPJ2

help please
denominator only

Answers

Answer:

2+3=5 3-5=2

Step-by-step explanation:

that's the answer

Some people use this rule to work out
how many hours' sleep each night
young children need.
tract the child's age in years from 30,
ten divide the result by 2
Sanjay is 8 years old.
Use the rule to work out how many
hours' sleep he needs.

Answers

Sanjay needs 11 hours of sleep

Calculate the volume of a cylinder with height 14cm and diameter 10cm. Give your answer rounded to 3 SF.

Answers

Un significant figured Volume=1099.56

3 sf = 1100.00

Petra and Robyn work part-time on weekends. The ratio of Petra's wage to
Robyn’s is 4 : 3. If they earn $210 between them, how much does each of them take
home

Answers

Step-by-step explanation:

   4    +       3 = 7

petra   robyn    total

  210     /   7          =30

wage     total

              ratio

30× 4  = $120

     Petra's part

30× 3  =  $90

      Robyn’s part

Natalie walked 35 mile in 12 hour. How fast did she walk, in miles per hour?

a. 3/10 mile per hour

b. 5/6 mile per hour

c. 1 1/5 miles per hour

d. 2 miles per hour

Answers

Answer:

almost 3 mph so I'm guessing (d) is the answer

Step-by-step explanation:

35  ÷ 12 = 2.9 miles per hour

Arron and Paul are paid 10$ per hour as landscapers. However this week Arron made an additional 54$ in overtime pay. Given that A and P represent the number of hours worked by Arron (a) and Paul (p) which expresion can be used to represent their combined earrings for the week.


A. 10A+10P+54
B. 10AP+54
C. 10P+54
D. 10A(54)+10P

Answers

D. 10A(54)+10P

Is the correct answer

Answer:

A. 10A+10P+54

Step-by-step explanation:

Follow the steps to finish solving the equation -3x +18 = 7x

1. Add 3x to both sides to isolate the variable term.

2. Divide both sides by 10.

x=

Answers

It’s probs 1.8 but it could also be 1.8

Answer:

18/10

Step-by-step explanation:

got it right.

a^4 divided by a^-2
please help

Answers

Answer:

hope this helps

Step-by-step explanation:

[tex]a^{6\\}[/tex]

to do this you factor the numerator and denominator and then you cancel the common factors

PLS HELP ME IMMA CRY ONGG GGHGHJH

Answers

Answer:

127

Step-by-step explanation:

We started at 7

We keep going up 3

multiply

[tex]3\cdot40=120[/tex] Now add [tex]120+7=127[/tex] at the 40th term

Answer:

I believe its 127?

Step-by-step explanation:

I solved this by 7+3x40 and that was my answer.

Please tell me if its wrong, if so tell me what the correct one is. :)

Have a good day!

Please help! WILL MARK BRAINLIEST

Answers

Answer:

2nd option is correct

.........................

Answer:

1 1/9 ft^3

Step-by-step explanation:

5/3*1*2/3=10/9*1=10/9

10/9=1 1/9

some one please help

Answers

Answer:

i can't see the photo

Step-by-step explanation:

pleas send it again

Answer:

Step-by-step explanation:

f(x) = 3-x/5

 

Explanation:

The inverse of a function completely swaps the x and y values. One way to find the inverse of a function is to switch the "x" and "y" in an equation

y=3x -5

turns into

x = 3y+5

Then solve the equation for y

x=3 y- 5

x+5 = 3y

the divide all by three

1/3x + 5/3 =y

f ( x ) − 1 = 3/1 x + 5/3

3923 divided by 26 pls help

Answers

Answer:

150.884615385

Step-by-step explanation:

3923÷26=150.8846153846153

help me with this plsssss

Answers

Answer:

y=1/2x+-5 is A

y=-2/3x+1 is B

y=4x+3 is C

y=2x+6 is D

What is 2.29 rounded to the nearest whole ounce?

Answers

Answer: To round 2.29 to the nearest whole number consider the tenths' value of 2.29, which is 2 and less than 5.

Step-by-step explanation:

The answer would be 2 I hope this helps :)
Other Questions
Which development led to the other three?(1) New diseases are introduced. (2) The African slave trade is expanded. (3) Europeans explore the Americas. (4) Native American Indians lose their lands. which of Erikson's psychosocial stages of development highlights the importance of a reciprocal connection between individuals What is the meaning of the point shown on this graph?Myshas Height A: Mysha was 12 inches tall at age 2 1/2 years B. Mysha was 30 inches tall at age 1 year C: Mysha was 12 inches tall at the ago 30 months D: Mysha was 30 inches tall at age 12 years Where do Sikhs worship Can anyone help, im stuck For questions 1-3, consider the following code: x = int (input ("Enter a number: ")) if (x != 8): print ("A") if (x >= 10): print ("B") if (x < 10): print ("C") if (x % 2 == 1): print ("D") What is output if the user types in 13? Explain the steps to locate the average rate of change when two points are displayed on an exponential graph. - select all of the instruments that could belong to the front line of a jazz band. tell me th efirst thing that just came to your min!! I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best. Please do it quick :D What was the powers of a king of England before Magna Carta list at least 5 Which molecule is needed for photosynthesis to occur?glucoseoxygencarbon dioxidenitrogen Leonard conducts a study to see if the number of hawks in a park affects the numberof squirrels. What is the response variable in this study?A.The number of hawks in the parkB.The number of squirrels in the park Directions: Complete the following sentences by putting the correct form of tener CONJUGATED. Ex. Yo/tener/el boleto. = Yo tengo el boleto. 1. Tu/tener la tarjeta de embarque. 2. El tener la maleta. 3. Nosotros/tener/el equipaje. 4 Ella/tener dos maletas. 5. El pasaporte/tener/mi nombre. 6. Pedro y yo/tener/ dos vuelos. 7. Melissa y Josh/tener/cinco billetes. 8. Tu/tener/las tarjetas de embarque. 9. Yo/tener/el equipaje de mano. 10. El vuelo/tener/un retraso. Chose the correct sentence with the Complex Object.A) Jane suggested that I should buy a car.B) Did you hear what I said?C) What do you advise me doing?D) Glasses make him look older.E) I'd like to go to Iceland. What variations were there between the roles of women of various ethnic backgrounds in the 1920s 1 What are the main ideas of the passage the first-timer Read the excerpt from the poem "On Seeing the Elgin Marbles" by John Keats. Such dim-conceived glories of the brain Bring round the heart an indescribable feud; So do these wonders a most dizzy pain, That mingles Grecian grandeur with the rude Wasting of old Timewith a billowy main A suna shadow of a magnitude. Which theme does this passage support? Even the human mind cannot overcome time. Even art is affected by the ravages of time. Art remains unchanged over time. Time and age bring wisdom. How do you make a good first impression ? Give example . What hazardous wastes are common in ordinary households? What can you do to reduce the impact you make on the environment from the use of hazardous wastes?