Given f(x)=2x^2+3x-8 find (b+2)

Answers

Answer 1

Answer:

[tex]\displaystyle f(b+2) = 2b^2 + 11b +6[/tex]

Step-by-step explanation:

We are given the function:

[tex]\displaystyle f(x) = 2x^2 + 3x - 8[/tex]

And we want to find:

[tex]\displaystyle f(b + 2)[/tex]

Substitute:

[tex]\displaystyle f(b+2) = 2(b+2)^2 + 3(b+2) - 8[/tex]

Expand and simplify:

[tex]\displaystyle \begin{aligned}f(b+2)&= 2(b^2+4b+4)+(3b+6)-8 \\ &= (2b^2+8b+8)+(3b+6)-8 \\ &= (2b^2) + (8b+3b)+ (8+6-8) \\ &= 2b^2 + 11b + 6 \end{aligned}[/tex]

In conclusion:

[tex]\displaystyle f(b+2) = 2b^2 + 11b +6[/tex]


Related Questions

solve for w 3w + 6w - 19 = -91
please

Answers

Hi ;-)

[tex]3w+6w-19=-91\\\\3w+6w=-91+19\\\\9w=-72 \ \ /:9\\\\\huge\boxed{x=-8}[/tex]

Answer:

w = -8

Step-by-step explanation:

Given:

3w + 6w - 19 = -91

Isolate w, add 19 to both sides:

3w + 6w = -91 + 19

Simplify both sides:

9w = -72

Divide both sides by 9:

w = -72/9w = -8

I NEED SLEEEPPPP!! help me out please ;U;
solve for x ( please so work so I can figure out how to solve)

Answers

Answer:

Step-by-step explanation:

Set up equation

[tex]\frac{5x}{3} +\frac{3x-2}{6} =2-3x[/tex]

Make 5x/3 and 2-3x have a denominator of 6. To do this, we multiply everything in 5x/3 by 2 and multiply everything in 2-3x by 6.

[tex]\frac{10x}{6} +\frac{3x-2}{6} =\frac{12-18x}{6}[/tex]

Add the Left fractions numerators and set them equal to the Left side.

13x-2=12-18x

13x=14-18x

31x=14

x=14/31

This would be the answer to your question. X= 14/31

(4x-3)^2-(2x+5)^2=0 tìm x

Answers

Hi

Your question would be better with  "  Could you help me please ? " at the end. Quite sure your mum told you that some time in the past.

I will show you how to solve but you will do the calculus. Math is all about rules, methods and training.  If you dont practice, you will never progress.

rule  :  you must know by heart your remarkable identities.

Here we have  :   ( 4x-3)² - (2x+5)² = 0

It 's of the  form  A² -B² =  ( A+B) ( A-B)  

here A is  :   4x-3   and  B is  2x+5  

Now let's apply rule  :   ( 4x-3)² - (2x+5)² =  ( (4x-3) +( 2x+5) )  ( (4x-3) - (2x+5)

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

                                                                  =     ( 6x +2)  ( 2x-8)  

so :  ( 4x-3)² - (2x+5)² =  ( 6x +2)  ( 2x-8)  

so  ( 4x-3)² - (2x+5)²  = 0   means  :  ( 6x +2)  ( 2x-8)    = 0

Rule A*B = 0 if A = 0  or B = 0

A  is  6x+2     and B = 2x-8

So I let you now work  :  

You have to solve :   6x+2 = 0

and   2x-8 = 0

Solutions of this two calculus will be the solutions of  ( 4x-3)² - (2x+5)²  = 0  

Have fun !                                    

find the missing side, round to the nearest tenth. PLEASE EXPLAIN WORK ILL GIVE BRAINLIEST!!!

Answers

SOH-CAH-TOA

Cos(angle) = length of adjacent side/length of hypotenuse

Cos(27 deg) = x/20

Multiply by 20 on each side to get

20 * cos(27 deg) = x

Throw that into a calculator.,..

17.82013048 ≈ x

please explain if you can

Answers

Answer:

Hello again!  The answer to this one is C

Step-by-step explanation:

As I said before, a fraction is out of 100, like a percent.  Divide 100 by the denominator (in this case, 4).  This gives you 75%.  However, to convert this into a decimal, we need to multiply it by 0.01.  This gives you 0.75.

Answer:

.75

Step-by-step explanation:

there are more that one way to represent numbers..

Roman numerals are quite obsolete, but fractions, decimals and percent's

are the ones that you mainly learn about in a math class...

numbers of one type can be converted to any other...

in this case you want to convert a FRACTION 3/4 to change to a DECIMAL version.... NOTE: at the end I will also show the PERCENT VERSION...

the fraction to decimal conversion is done by "LONG DIVISION"

   

   __.75__

4 | 3.0

    2.8

    -----

       20

       20

        ---

        0

Note  as a percent it is 75%

Solve. x-6=-18
A x=-24
B x=-12
C x= 12
D x= 6

Answers

x - 6 = -18

x = -18 + 6

x = -12 ← the end

Answer: B)

[tex]\boxed{\underline{\bf \: ANSWER}}[/tex]

[tex] \sf \: x - 6 = - 18 [/tex]

Add 6 to both sides.

[tex] \sf \: x=-18+6 [/tex]

Add -18 and 6 to get -12.

[tex] \boxed{\underline{ \bf \: x=-12 }}[/tex]

=> The correct answer will be Option B - x = - 12

_______

Hope it helps.

╰☆☆RainbowSalt2222☆☆╮

Which Property is used below? 7 + (a + b) = (7 + a) + b ?​

Answers

Answer:

Associative property- the way in which factors are grouped in a multiplication problem does not change the product.

hope it will help

help please. thank you!

Answers

Answer:

d!!!!

Step-by-step explanation:

Multiply 4√2 x 6 √18

Answers

Answer:144

Step-by-step explanation:

Can someone help me please?

Answers

Answer:

Associative property.

Step-by-step explanation:

[tex]assosiative \: property \\ for \: any \: nubers \: likeur \: question \: \\ didnt \: affect \: theanswer \\ thank \: you[/tex]

what would -[16] absolute value be? (P.S. is not [] i just cant do the straight line on computer) sorry

Answers

i’m pretty sure the absolute value of any number is just the actual number itself in positive form. so it would be 16.

Which figure shows an example of symmetry?
A.
B.
C.
D.

Answers

A.

Both halves created by the line of symmetry are equal in diagram A.

Find the difference between temperatures of 17 degrees celcius above zero and 12 degrees celcius below zero

Answers

Answer:

29° C

Step-by-step explanation:

-17(-12)

=29

Hope this helps

Answer:

29C

Step-by-step explanation:

Above zero temperature = +17C

Below zero temperature = -12C

Difference= 17 - (-12C)

                 = 17 + 12 C

                 =29C

The piecewise defined function f(x) is graphed below. What is the value of f(2)?


f(2) = –2
f(2) = –1
f(2) = 4
f(2) is undefined

Answers

Answer:

f(2) = -1

Step-by-step explanation:

Looking at the graph, there appears to be two points at x = 2.  However, looking more closely, we see that the point (2, 4) is empty; this means the graph goes up to this point but does not hit this point.

The point (2, -1) is filled in; this means the graph hits this point.

Step-by-step explanation:

The value of f(2) on the graph of the piecewise function is -1

How to determine the value of f(2)?

From the graph of the piecewise function, we have the following highlights

When x = 2, the function has corresponding values at y = 4 and y = -1

However, the graph has an open circle at y = 4 and a closed circle at y = -1

Closed circles show inclusiveness

This means that the actual value of f(2) on the graph is -1

Hence, the value of f(2) on the graph of the piecewise function is -1

Read more about piecewise functions at:

https://brainly.com/question/24389153

Find the slope of the line that passes through the points (0,-11) and (8,-8).

Answers

To find the slope of a line, we can use the following formula:

[tex] \displaystyle \large{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]

m-term stands for slope or gradient. The formula is useful whenever you want to find a slope of two points.

Let these be the following:

[tex] \displaystyle \large{(x_1,y_1) = (0, - 11)} \\ \displaystyle \large{(x_2,y_2) = (8, - 8)}[/tex]

Substitute the points in formula:

[tex] \displaystyle \large{m = \frac{ - 8 -( - 11)}{ 8 - 0} }[/tex]

Negative multiply negative always come out as positive.

[tex] \displaystyle \large{m = \frac{ - 8 + 11}{ 8 - 0} } \\ \displaystyle \large{m = \frac{ 3}{ 8 } } \\ [/tex]

Since m stands for slope, we can say that:

[tex] \displaystyle \large \boxed{ \tt{slope = \frac{3}{8} }}[/tex]

Answer:

Step-by-step explanation:

(x₁  ,y₁) = (0,-11)     & (x₂ , y₂) =   (8,-8)

Slope = [tex]\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]

          [tex]=\dfrac{-8-[-11]}{8-0}\\\\=\dfrac{-8+11}{8}\\\\=\dfrac{3}{8}[/tex]

Divide 6x²y-12x⁴y+ 15x³y²-3x²y² by 3x²y​

Answers

Answer:

[tex] \frac{6 {x}^{2}y - 12 {x}^{4} y + 15 {x}^{3} {y}^{2} - 3 {x}^{2} {y}^{2} }{3 {x}^{2}y } \\ \frac{2 \times 3 {x}^{2}y - 6 {x}^{2} 3 {x}^{2} y + 5xy3 {x}^{2} y - y3 {x}^{2} y}{3 {x}^{2}y } \\ cancel3 {x}^{2} y \: from \: all \: term \\ = \frac{2 - 6 {x}^{2} + 5x y - y }{1} \\ = 2 - 6 {x}^{2} + 5xy - y \\ thank \: you[/tex]

x+6 căn x +9
x căn x +8
x - căn x -8

Answers

Answer:

no

Step-by-step explanation:

What is cos 30°?
604
2.
90'
309
13
O A. /
O B. 1 / 2
O c.
O D. V
O E F
O F. 1
SUB

Answers

Answer:

the value of cos 30degree is √3\2 ....

A sphere has radius r unit. Find the following. (a) Circumference of great circle​

Answers

Answer:

2πr

Step-by-step explanation:

the Circumference of great circle =

2×π×r or 2πr

select the correct answer

Answers

Answer:

B

Step-by-step explanation:

This is a linear function that continues both ways infinitely.

Answer:

B

Step-by-step explanation:

The domain of the function is all real numbers.

300 divided by 6 times to the 2nd power divided by 3.14, i need help.

Answers

Answer:

Step-by-step explanation:

300÷6x²÷3.14=2.6539278131634819533

describe the defferences between hexagonal prism and an octagonal prism​

Answers

20+23-56/90+789/90(333)09/77

7. Choose the correct answer. If there is direct variation and y= 27 when t= 4, find y when = 12.

a. 9

b. 0.56

c. 81

d. 1.78​

Answers

Answer:

c

Step-by-step explanation:

Given direct variation between y and t , then the equation relating them is

y = kt ← k is the constant of variation

To find k use the condition y = 27 when t = 4 , then

27 = 4k ( divide both sides by 4 )

6.75 = k

y = 6.75t ← equation of variation

When t = 12 , then

y = 6.75 × 12 = 81

250 ÷ [5(3 • 7 + 4)]

Answers

Answer:

2

Step-by-step explanation:

f(x) = x2. What is g(x)?

Answers

Answer:

B

Step-by-step explanation:

Looking at the graph, we can see that g(x) is a compressed version of f(x) in the x direction but stretched in the y direction. We know that it is compressed because the values of g(x) are inside of f(x) in the x direction, and that it is streched because the values of g(x) are higher than the values of f(x) in the y direction.

Next, we want to figure out how much g(x) is a compression/stretch of x.

In the y direction, at x=1, y=1. At x=3, y=9. The ratio between the y values is 9/1 = 9, so in the y direction, the graph is streched by 9.

A stretch in the y direction can be represented by kf(x), with k representing how much the graph is stretched. In our example, k=9, so we have

kf(x) = 9f(x) = 9(x²) = 9x². This is equal to (3x)² = 9x², or B

In the x direction,  at x=1, y=1. At x=3, y=9. The ratio between the x values is 3/1 = 3, so in the x direction, the graph is compressed by 3.

f(kx) represents a compression by a factor of k in the x direction, and k =3 here, so we have

f(kx) = f(3x) = (3x)² = 9x² = B

(-786)+(-923)=(-923)+(-786)
verify

Answers

Answer:

[tex] - 786 + - 923 = - 923 + - 786 \\ - 786 - 923 = - 923 - 786 \\ - 1709 = - 1709 \\ thank \: you[/tex]

Please no links because they dont work :).

Answers

Answer:

semoga jawapan ini dapat membantu

7b + 2 = 23
Help pls

Answers

Answer:

3

Step-by-step explanation:

7b + 2 = 23

Subtract 2 from both sides,

=> 7b = 21

=> b = 21/7

=> b = 3

The answer is b=3 I think

A rectangular block has square base of area 64 cm². If the thickness of the block is 5 cm, find its total surface area. ​

Answers

Answer:

total surface area of cube is 6 * area of one side

therefore area of one side is given 64cm^2

thickness is also given 5cm .

TSA is 64*5 = 320cm^2

hope it is helpful

Answer:

288 cm²

Step-by-step explanation:

The square base has an area of 64 cm².

That means the sides of the square base measure 8 cm.

The perimeter of the base is P = 4 * 8 cm = 32 cm.

The lateral area is Ph = 32 cm * 5 cm = 160 cm².

The two bases are congruent, and their combined area is 2 * 64 cm² = 128 cm².

The total surface area equals the sum of the lateral area and the area of the bases.

SA = 160 cm² + 128 cm²

SA = 288 cm²

The length of a sandbox is three feet longer than its width. Write the expression that would represent the perimeter of the sandbox.

Answers

Answer:

4w + 6

Step-by-step explanation:

Let width = w

Length = w + 3

Perimeter = 2*length + 2* width

                = 2(w +3) + 2w           {Use distributive property}

                = 2w + 2*3 + 2w

                =  2w + 6 + 2w              {Combine like terms}

                = 4w + 6

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