f(x) = 2. What is g(x)?
А. g(x) = х2 +4
В. g(x) = -4х2
ОООО
Ос. g(x) = х2 - 4
D. g(x) =-x2 - 4

Answer:

[tex]x^3+x^2+x+1=\left(x+1\right)\left(x^2+1\right)[/tex]  

Step-by-step explanation:

Given the expression

[tex]x^3+x^2+x+1[/tex]

Factorized by grouping

[tex]x^3+x^2+x+1=\left(x^3+x^2\right)+\left(x+1\right)[/tex]

Factor out x² from x³+ x²:  x²(x+1)

                        [tex]=\left(x+1\right)+x^2\left(x+1\right)[/tex]

                        [tex]=\left(x+1\right)+x^2\left(x+1\right)[/tex]

Factor common term x+1

                         [tex]=\left(x+1\right)\left(x^2+1\right)[/tex]

Therefore, we conclude that:

[tex]x^3+x^2+x+1=\left(x+1\right)\left(x^2+1\right)[/tex]                  

Answer:

The value of a is 120.

Step-by-step explanation:

Given function;

f(x) = x⁴ - 62x² + ax + 9

find the derivative of the function;

f'(x) = 4x³ - 124x + a

The function (f) attains its maximum value on the interval [0, 2], at x = 1.

f'(1) = 0

0 = 4(1)³ - 124(1) + a

0 = 4 - 124 + a

0 = -120 + a

120 = a

Thus, the value of a is 120.

Answer:

22feet11111111111111dddddd

Answer:

Step-by-step explanation:

It is 3.75

Answer:

0.75x = y

Step-by-step explanation:

The required expression represents the relationship between the number Tyler ate (x) and the number Han ate (y) is y = x/4.

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

Here,
Tyler ate x fruit snacks, and Han ate 3/4 less than that
Let the snacks eaten by Han be y,
According to the question,
y = x - 3/4x
y = x/4

Thus, the required expression represents the relationship between the number Tyler ate (x) and the number Han ate (y) is y = x/4.

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Answer:

15 / 17

Step-by-step explanation:

slope = (y2 - y1) / (x2 - x1)

  = (-9 + 24) / (8 + 9)

  = 15 / 17

Answer:

it's the fourth one i did that assignment aswell

Step-by-step explanation:

40=1.6d-3.2

43,2=1.6d

27=d

Answer:

The bigger the number the more obtuse it is and the smaller the number is the more acute is

Step-by-step explanation:

Answer:

Length of one piece = 6 cm

Length of second piece = 16 cm

Step-by-step explanation:

Total Length of board = 22 cm

The board is divided into 2 pieces.

Let length of one piece = l

Length of second piece = 2l + 4

We need to find length of both pieces.

We can write the equation:

Total length = Length of one piece + Length od second piece

Putting values and finding length

[tex]22 = l+(2l+4)\\22=l+2l+4\\22=3l+4\\3l=22-4\\3l=18\\l=\frac{18}{3}\\l=6[/tex]

So, we get l= 6

Length of one piece = l =6 cm

Length of second piece = 2l + 4 = 2(6)+4 = 12+4 = 16 cm

Therefore,

Length of one piece = 6 cm

Length of second piece = 16 cm

Answer:

no, It isnt

Step-by-step explanation:

Answer:

3 and 1/2

Step-by-step explanation:

Mixed numbers are numbers with one whole number and a fraction.

Answer:

3 1/2

Step-by-step explanation:

well 3.5 in fraction form is 3 1/2.

the 5 is the 1/2 because 5/10 is half of 10 an 5/10 is equivalent to 1/2 sooo

3 1/2

Answer:

y = -2, 1, 4, 7 (in order)

Step-by-step explanation:

Plug in the value of x into the equation to find y.

For example for -1, plug in x as -1 into the equation.

y = 3(x) +1

y = 3(-1) + 1

y = -2

Similarly plug in the x to find the rest of the values for y.

Answer:

The answer is $2.99

Step-by-step explanation:

8.97/3=2.99

Answer:

the answer is 2.99

Step-by-step explanation:

because

8.97 divided by 3 = 2.99

Answer:

6 without repetition

27 with repetition

Step-by-step explanation:

without repetition, you have 3 digits to choose from initially, then only 2, then only one, i.e.:

3×2×1 = 6

with repetition, you have 3 digits to choose from for every spot:

3×3×3 = 27

Answer:

1

Step-by-step explanation:

13x-12=7x-6

Answer:

20%

Step-by-step explanation:

The percentage of the concentration can be calculated by dividing the amount of solute by the total amount of the solution. In this case the solute would be the 20g of medication while the total solution amount is 100ml. Therefore, we divide these two values like so...

20 / 100 = 0.20

This is the percentage in decimal form, we can now multiply it by 100 to get the percentage value (which in this scenario is simply reversing the previous division)

0.20 * 100 = 20%

The numbers having an even number of factors are 8 and 15.

A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them.

The given numbers are 8, 9, 15, 16, and 25.

Factors of 8 are 1, 2, 4, and 8.

Factors of 9 are 1, 3, 9.

Factors of 15 are 1, 3, 5, 15.

Factors of 16are 1, 2, 4, 8, 16.

Factors of 15 are 1, 5, 25.

Of which 1 and the number itself are improper factors.

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Answer:

.75 because

Step-by-step explanation:

3/4= 75%

75% divided by 100 = .75

Answer:

7,000

Step-by-step explanation:

Answer:

7000

Step-by-step explanation:

the hundreds is 5 so the 6 is turned into a 7 and the rest become 0, 5 or more let it soar, 4 or less let it rest or something

Answer: 203.65

Step-by-step explanation:

subtract those checks from his starting balance

Answer:

90 minutes or an hour and a half

Step-by-step explanation:

You need to find out how many minutes it takes her to run one mile, to do that you devide 54 by 6 and you get 9 minutes. Then you multiply the number of minutes per mile, 9, by 10 and you get 90 minutes.

or,3(1/2 +1)=3/2

or,3/2+3=3/2

or,(3+6)/2=3/2

or,9/2=3/2

cost of 8 books = 520 AED

we can do this using direct proportion

8/520 , 10/x

(cross multiply

= 8x = 520 x 10

= 8 x 5200

x = 5200/8

x =  650 AED

therfore,

cost of 10 books is 650.

Answer:

x  =  450 m

y =  900 m

P (min)  = 1800 m

Step-by-step explanation:

Let´s call   "x"  and  "y" de sides of the rectangular garden, y is the side parallel to the river ( that is it will be fenced only one )

Then:

2*x + y = P        ( perimeter of the area)

And   x * y  = 405000 m²

y = 405000/ x

And P as a function of x is:

P(x) = 2*x +  405000/x

Tacking derivatives relative to x on both sides of the equation.

P´(x)  = 2  - 405000/x²

P´(x) =  0      2*x²  - 405000 = 0

x²  = 202500

x = 450 m

And y =  405000 / 450

y = 900 m

And

P(min) = 2*450 + 900

P(min) = 1800 m

We know P is minimm at x =450 snce the second derivative of P

P´´(x) = 405000*2*x / x⁴   is always positive

Answer: 20.25

Step-by-step explanation: All you need to do is multiply 45 by 45%. 45% can be represented by 0.45, 45/100, or just 45%. You answer should be 20.25. Hope this helps!

45 percent of 45 is 20.25.

To calculate 45% of 45, we can multiply 45 by the decimal representation of 45%.

45% can be written as 0.45 (since percent means "per hundred" or "out of 100").

45 × 0.45 = 20.25

Therefore, 45% of 45 is 20.25.

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Answer:

as below

Step-by-step explanation:

because the interior angles add up to 180 degrees.. you can solve this

180= 32 + 64 + x    hmm

84 = x

so the last angle is 84°    :)

as we know that the sum of three interiors angle = 180

Two angles are given 32 and 64

let the angles be a , b and c

A + B + C = 180

32 + 64 + C = 180

C = 180-96

C = 84

Hence the 3rd angle is 84

hope it helps u