The expression (2x + a)(4x − 1) is equivalent to 8x2+ bx − 3. Find the value of b.

Answers

Answer 1

Answer:

b = 10

Step-by-step explanation:

Expand the left side and compare the coefficients of like terms

(2x + a)(4x - 1) ← expand using FOIL

= 8x² + 4ax - 2x - a = 8x² + x(4a - 2) - a

Compare coefficients of like terms with

8x² + bx - 3

Then a = 3 ( constant term )

b = 4a - 2 ( coefficients of the x- term )

b = 4(3) - 2 = 12 - 2 = 10

Answer 2

Answer:

b = 10

Step-by-step explanation:

We can break those parenthesis like this

[tex](2x + a)(4x - 1) \\ = 2x(4x - 1) + a(4x - 1) \\ = 8{x}^{2} - 2x + 4ax - a[/tex]

And then combine the terms end with x we get

[tex]8 {x}^{2} - 2x + 4ax - a \\ = 8 {x}^{2} + 4ax - 2x - a \\ = 8 {x}^{2} + (4a - 2)x - a[/tex]

Now by comparing 2 expressions, we can see that a is 3, and b = 4a-2 = 12-2 = 10


Related Questions

1200p x 1920p width of 12 inches

Answers

Answer:

nice TV

Step-by-step explanation:

Consider the function f(x) = tan 1/3 (x + pi/1) - 1
Help With All PleAsE

Answers

Answer:

8. ☐ A Up

☑ B Down 1

☑ C Left [tex]\displaystyle \frac{\pi}{2}[/tex]

☐ D Right

7. [tex]\displaystyle 3\pi[/tex]

6. ☑ A x = −2π

☐ B x = −π

☐ C x = [tex]\displaystyle \frac{\pi}{2}[/tex]

☑ D x = π

5. [tex]\displaystyle y = -1[/tex]

Explanation:

[tex]\displaystyle y = Atan(Bx - C) + D \\ \\ \boxed{y = tan\:(\frac{1}{3}x + \frac{\pi}{6}) - 1} \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{B} \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{2}} \hookrightarrow \frac{-\frac{\pi}{6}}{\frac{1}{3}} \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{B} \hookrightarrow \boxed{3\pi} \hookrightarrow \frac{\pi}{\frac{1}{3}} \\ Amplitude \hookrightarrow N/A[/tex]

Here is all the information you will need. Now, what you need to know is that ALL tangent, secant, cosecant, and cotangent functions have NO amplitudes. Second, to find the period in this case, you need to take a look at the distanse between each vertical asymptote. Now, accourding to this graph, on a universal scale of [tex]\displaystyle \frac{\pi}{4}[/tex] with a range of [tex]\displaystyle -2\pi\:to\:2\pi,[/tex] the vertical asymptotes are [tex]\displaystyle -2\pi = x\:and\:\pi = x.[/tex] From here, you will then find the distanse between these asymptotes by simply perfourming the operation of Deduction, and doing that will give you [tex]\displaystyle \boxed{3\pi} = \pi + 2\pi.[/tex] So, the period of this function is [tex]\displaystyle 3\pi.[/tex] Now, you will instantly get the jist of the horisontal shift by looking at the above formula. Just keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must pay cloce attention to what is given to you inside those parentheses. Finally, the midline is the centre of your graph, also known as the vertical shift, which in this case is at [tex]\displaystyle y = -1.[/tex]

Well, that just about wraps it up. Now that everything has been explained, you should understand it better. If you still have questions, do not hesitate to comment any you have.

I am delighted to assist you at any time.

. A fraction becomes 4 if one is added to both numerator and the denominator If 5 is subtracted from 5
both the numerator and the denominator the fraction becomes 1⁄2, find the fraction.

Class 10 cbse maths

Answers

the answer is 7/9. ...........

simplify (-3)(-3)(-3)​

Answers

Answer:

-27

Step-by-step explanation:

-3 x -3=9

9 x -3= -27

Answer:

-27

Step-by-step explanation:

Someone help me with ASAP plz f(x) = x2 - 4x

Answers

Answer:

whats the choices?

Step-by-step explanation:

solve for x
4xy+3x+2=12
show all the steps

Answers

4xy+3x+2=12
Subtract 2 to both sides (like terms)
4xy+3x=10
This is the farthest you can go, there are no like terms

-1/6(2x + 12) = 1/3x + 12

Answers

Hope this helps
X=-21

The scale from the drawing to the actual ramp is 2cm to 12in. What is the area of the actual side of the ramp?

Answers

The scale is 2 cm to 12 in so the actual length of the shorter side is 12 in, and the actual side of the longer side is (8/2)×12=48 in. So, the actual area of the ramp is (1/2)×12×48=288 Sq. in.

Scale used to convert the dimensions from drawing to actual is,

2 cm : 12 in

Height of the ramp in a skateboard park = 2 cm

Therefore, actual height 'x' of the ramp will be,

[tex]\frac{2}{12}=\frac{2}{x}[/tex]

x = 12 inches

Since, measure of the base of the ramp = 8 cm

Length of the base 'y' of the actual ramp will be,

[tex]\frac{2}{12}=\frac{8}{y}[/tex]

y = [tex]\frac{8\times 12}{2}[/tex]

y = 48 inches

Area of a triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                             = [tex]\frac{1}{2}(48)(2)[/tex]

                             = 48 square inches

Learn more,

https://brainly.com/question/410946

50 points + geometry
No one is helping me :(

BC bisects LABD.

Answers

Step-by-step explanation:

a. 4x = 3x+3

4x-3x=3

x = 3

b. L ABC = 3x+3= 3(3)+3= 12°

c. L CBD = 4x = 4(3) = 12°

d. L ABD = 12+12 = 24°

The equations below has been solved. What properties were used to justify how this equation
was solved? Fill in the appropriate property of equality on the line provided. Addition(APE),
Subtraction(SPE), Multiplication(MPE), and Division(DPE)

Answers

Answer:

Step-by-step explanation:

APE - adding 8 on both sides (first line)

DPE - dividing by 7 on both sides (second line)

complete the square to find the vertex of the parabola.

Answers

Answer:

Step-by-step explanation:

[tex]y^2+6y+8x+1=0\\\\y^2+2*3y+9+8x+1-9=0\\(y+3)^2+8x-8=0\\8x=-(y+3)^2+8\\\\x=-\dfrac{(y+3)^2}{8}+1 \\Vertex=(1,-3)[/tex]

The vertex is (1,-3).

To find the the vertex of the parabola.

What is parabola?

A symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side.,

Given that:

[tex]y^{2} +6y+8x+1=0\\\\y^{2} +2*3y+8x+1+9-9=0\\\\(y+3)^{2}+8x-8=0\\\\8x=-(y+3)^{2}+8\\\\x=-\frac{(y+3)^{2}}{8} +1\\\\vertex=(1,-3)\\[/tex]

So, the vertex is (1,-3).

Learn more about parabola here:

https://brainly.com/question/24390399

#SPJ2

14>6>2 true or false

Answers

Answer:

I think this is if it is right then help me plz this is false ..

¿Que tiempo se tardara en escucharse el retumbo de un volcan situado a 58km?

Answers

Answer:

How long will it take to hear the rumbling of a volcano located 58km away?

Step-by-step explanation:

mike sold half of his comic books and then bought 9 more. he now has 14. how many did he begin with?

Answers

14-9=5
5 is half of what he originally had so
5+5=10
He had 10 comic books at first

Find the surface area of this cube in cm²? 25 mm​

Answers

The answer is 2.2cm squared. But if I were to go ahead and do 2.2x2.2 it would be 4.84

In the pair of supplementary angles shown below, the measure of the smaller angle is 36°.

Complete the equation that could be used to represent this situation. Then, solve the equation to complete the sentences.

120
36
34
180
38
144
90
56

(4x - 8) + ? = ?
Answer the question mark

The value of x is ?
Answer the question mark

The measure of the larger angle is ?
Answer the question mark

Answers

Answer:

4x _ 8 + 90 = 144

Step-by-step explanation:

you do parentheses then the rest you follow that order and it will all work ot really easy

Each polygon is divided into a number of triangles. Find the number of triangles if the number of sides in a polygon is: (a) 6

Answers

Answer:

4 triangles

Step-by-step explanation:

the number of triangles in a polygon is (the number of sides in the polygon - 2)

The number of triangles inside a polygon with six sides are 4.

What is a polygon? What is a mathematical function, equation and expression?               polygon : A polygon can be defined as a flat or plane, two-dimensional closed shape bounded with straight sides.function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is that the number of sides in a polygon is 6.

If the polygon has {n} sides, then the number of triangle in a polygon is → (n – 2).For n = 6, the number of triangles would be - (6 - 2) = 4

Therefore, the number of triangles inside a polygon with six sides are 4.

To solve more questions on polygons, visit the link below -

https://brainly.com/question/8789072

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A number of students are evenly spaced around the circle. The fourth student is directly opposite the tenth student. How many students are there altogether?

Answers

Answer:

12 students

Step-by-step explanation:

Between the fourth and tenth there are:

9 - 4 = 5 students

The total number is:

2 + 5*2 = 12 students

Which of the following expressions is equivalent to the one shown below?
(43)5
O
48
19
e
C. 42
o
D. 415
SUBMI

Answers

Answer:

The choose D. 4¹⁵

I hope I helped you^_^

The difference of x and 4

Answers

Answer:

x — 4

Step-by-step explanation:

Difference means subtraction, so x — 4 is the expression for your question.

What is (f + g)(x)? f(x) = -5x + 3 g(x) = -3x? Write your answer as a polynomial or a rational function in simplest form.​

Answers

Answer:

- 8x + 3

Step-by-step explanation:

(f + g)(x)

= f(x) + g(x)

= - 5x + 3 + (- 3x)

= - 5x + 3 - 3x ← collect like terms

= - 8x + 3

MATH this is integers please help.
I'm giving brainly to CORRECT ANSWERS

Answers

Answer:

As you move left on a number line, numbers decrease in value.

Step-by-step explanation:

The more negative the more the value is decreasing

Currently, you have made
78, 83, and an 80 on your tests in math. What do you need to make on the next test in order to get an average of an 82?

Answers

Answer:

87

Step-by-step explanation:

Mean(or average) = 82

let 'x' be the last test marks

Sum of marks of tests/Number of tests = Mean

(78 + 83 + 80 + x)/4 = 82

241 + x = 82 × 4

241 + x = 328

x = 328 - 241

x = 87

Select all numbers that will round to 600 when rounded to the nearest hundred.

550
575
596
602
667

Answers

Answer:

550, 575, 596, 602

Answer:

Anything greater or equal to 550 will be rounded to 600

and anything less than 650 will be rounded to 600,  

So the numbers are:-  

550  

575  

596

602

f(x)=ax+b,f(3)=3 and f(2)=1 find the value of a and b​

Answers

Answer:

a=2, b=-3

Step-by-step explanation:

f(x) = ax+b

f(3)=3, 3a+b=3

f(2)=1, 2a+b=1

Solving these two equations, we get a=2, b=-3

Please help me with my homework!!!!!!

Answers

Answer:

Step-by-step explanation:

Given that x = 3 and y = 2 we can figure these out

3x = 3x3 = 9

5y = 5 x 2 = 10

9+10=19

X times y - 1

3x2-1=5

X*+y* =

3x3+2x2 = 13

2x3*-2 =

2x3x3 - 2 = 16

-5x3+9

= -6

2x2-3+5+3*-3x2 =

9

If you were a member of water supply OR flood emergency department and you had foreseen a situation where a river near your city would cause flooding in the monsoon season. What would be your plan of action to save the city from flooding?

plz guys answer this

Answers

Answer:

I would first tell people to evacuate

What is the solution to the system of equations?

Answers

Answer:

(-2, 5/3)

Step-by-step explanation:

y = 2/3x + 3

x = -2

x is already given so all we have to do is solve for y (by substituting x for -2)

y = 2/3(-2) + 3

y = -4/3 + 3

y = 5/3

The correct answer is B

can write a quadratic function given key features in the form of ordered pairs

12: Write an equation of each quadratic function, in vertex form, with the given vertex and point

a) Vertex at (1.2) and passes through the point (3.4)

b) Vertex at (-5, -1) and passes through the point (6.3)

Answers

Answer:

ANSWER IS BELOW

Step-by-step explanation:

f

(

x

)

=

1

2

x

2

+

3

x

1

2

Explanation:

A quadratic function can be written in vertex form as:

f

(

x

)

=

a

(

x

h

)

2

+

k

where

(

h

,

k

)

is the vertex and

a

is a constant multiplier.

In our example the vertex

(

h

,

k

)

is

(

3

,

4

)

, so we can write:

f

(

x

)

=

a

(

x

3

)

2

+

4

Given that this passes through the point

(

1

,

2

)

, we must have:

2

=

a

(

1

3

)

2

+

4

=

4

a

+

4

Subtract

4

from both ends to get:

2

=

4

a

Divide both sides by

4

and transpose to find:

a

=

1

2

So our quadratic function can be written in vertex form as:

f

(

x

)

=

1

2

(

x

3

)

2

+

4

We can multiply this out and simplify as follows:

f

(

x

)

=

1

2

(

x

3

)

2

+

4

f

(

x

)

=

1

2

(

x

2

6

x

+

9

)

+

4

f

(

x

)

=

1

2

x

2

+

3

x

9

2

+

4

f

(

x

)

=

1

2

x

2

+

3

x

1

2

simplify (a+1/a)^2-(a-1/a)^2​

Answers

Answer: 4/a

Explanation:
(a+1/a)^2 - (a-1/a)^2
= (a^2 + 2a + 1)/a^2 - (a^2 - 2a + 1)/a^2
= (a^2 + 2a + 1 - a^2 + 2a - 1)/a^2
= 4a/a^2
= 4/a
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Pls pls pls help its urgent give you brainiest and 50 points do Ill give you another 50 too but pls help Could anyone help me write my speech Its about the following questions:Introduce yourself What did you learn and what did you gain?What do you think about the program?How did you see program online Talk about the coachWhat are your aspirations after the program?Would you advise your colleagues to participate?How was your relationship with students from all regions of the kingdom?I will explain and you write based on what I said Im not good at writing tbh. Just take my answers and change the words delete add and if you have any questions feel free to ask So basically Ive joined this science program called future doctor and they taught us all about the body and how it works I did undoubtedly learn a lot and gained a lot of new information and meat a lot of smart and creative people along the way. I thought to was a great program and it was such a fun and great experience and it was a great way to spend my summer. I think it was fine that it was online though I think it would have been Better if it was in real life since we would all be in a lab and we could try out the experiment and see the results for ourselves and I would have gotten to know a lot of people but hi with the whole situation going around. The coach was honestly amazing she did everything expected from her she showed us videos ans explained properly ans she taught us in an engaging way and even though it was online I truly thought it was fun and she would constantly ask us if we had any questions or any comments or suggestions she would also encourage us to do our best. She was also very understanding. After I have finished the program I feel more interested in biology I also feel like I wanna learn more in the future I always wanted to be a doctor when I grow up and this course sure did help boost my motivation to go for it. Yes! I would advice them to join it if theyre into biology and stuff and if theyre not into that then they offer more for engineering imputed science.. etc I truly think it was a great way to spend your time learn new info and get to know new people at the same time. The relationship with everyone was nice but I do feel like I wouldve been closer to them if we were in real life since we would be working together ans seeing each other all the time but everyone were nice and Im so happy to have gotten to know everyone there If 18 drinks cost 54, how much will 7 drinks cost ? 54394 plus 13768Thank you 5. Use context clues to determine which of the following words is the best synonym for mite. (1 point)O a bed bugO a coin of little valueOphysical strengthO possibility Pls help me 10 points 4. Solve the following equations and verify your answers: (i) 3 (x + 7) = 18 Highlight the reference in the sentence: Martin gave Anna a smart phone. She loved the newest version . 20 point for right answer Please help me out quickly!! A pet store had 698 goldfish and 606 clown fish. To thenearest hundred, what is the total number of both types offish? b. (x + 3)(x^2 3x + 27 )= (5m-4)/6 -1 = 4m - (3m+10)/2pls answer fast Need help is correct and with explanation will give BRILLIANT CROWN!!! Help Pls please answer this, I'd appreciate itSimplify too What is -0.4 as a fraction or a mixed number in simplest form? What is the main purpose for visual aids? Your bill for a car repair is $166.50 The mechanic worked on your car for 15 hours WhatIs the hourly charge for labor? Set up the equation and solve ~Easy Points ~ ...... wht does it mean to plagiarize ?.....(stup!d answers will be deleted) Step 2Answer the following reflection question in at least one well-developed paragraph.3. Do you think the three monotheistic religions (Judaism, Christianity, and Islam) are more similarthan different OR more different than similar? Use evidence from the lesson to support yourresponse. Find the equation of the line passing through the point (-4, 4) and is perpendicular to the line y = 2x - 5.