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

Answer:

[tex]3x - 11[/tex]

Step-by-step explanation:

Given

[tex]\frac{3x^2 + 4x + 5}{x + 5}[/tex]

Required

Determine the quotient

First, we check if the divisor (x + 5) can divide the dividend (3x^2 + 4x + 5) without having a reminder

Equate the denominator to 0.

[tex]x + 5 = 0[/tex]

[tex]x = -5[/tex]

Substitute -5 for x in the numerator

[tex]3x^2 + 4x + 5 = 3*(-5)^2 + 4 * (-5) + 5[/tex]

[tex]3x^2 + 4x + 5 = 60[/tex]

This means that it has a reminder of 60

To get the quotient, we subtract 60 from the numerator and evaluate

[tex]\frac{3x^2 + 4x + 5}{x + 5}[/tex] becomes

[tex]\frac{3x^2 + 4x + 5 - 60}{x + 5}[/tex]

[tex]\frac{3x^2 + 4x - 55}{x + 5}[/tex]

Expand the numerator

[tex]\frac{3x^2 + 15x - 11x - 55}{x + 5}[/tex]

Factorize:

[tex]\frac{3x(x + 5) - 11(x + 5)}{x + 5}[/tex]

Factor out x + 5

[tex]\frac{(3x- 11)(x + 5)}{x + 5}[/tex]

Cancel out x + 5

[tex]3x - 11[/tex]

Hence, the quotient is [tex]3x - 11[/tex]

Answer:

345,512

Step-by-step explanation:

one liter is a thousand ml, so u just have to multiply

Answer:

hello

Step-by-step explanation:

but dear where is the picture?

Answer:

1 answer is 2

2 answer 4

3 answer 10

Step-by-step explanation:

Add 1+1

get 2

Add 2+2

get 4

Add 3+7

get 10

Answer:

Part A is no because after subtracting it is 6/10 and 6/10 is not equal to 1/2

Step-by-step explanation:

First you make the fraction's denominator equal

2/5 = 4/10

Camen's water bottle is 1 8/10

Jorge's water bottle is 2 4/10

1/2 = 5/10

Make the fractions into a improper fraction

Camen's is 18/10

Jorge's is 24/10

subtract it

24 - 18 = 6

So Part A is no because after subtracting it is 6/10 and 6/10 is not equal to 1/2

Answer:

Solution

−5+14

Step-by-step explanation:

Distribute

(4+3)−1(6−6)−1(3−5)

(4+3)−6+6−1(3−5)

Distribute

(4+3)−6+6−1(3−5)

(4+3)−6+6−3+5

(4c+3d) - (6c-6d) - (3c-5d) (4+3)−6+6−3+5

4+3−6+6−3+5

Combine like terms

4+3−6+6−3+5

−5+3+6+5

Combine like terms

−5+3+6+5

−5+14

Solution

−5+14

Answer:

Step-by-step explanation:

1.75 x 10^-2

Answer:To equal the original number, you would have to multiply 1.75 by 0.01 or 10-2. Therefore, the proper scientific notation for 0.0175 would be 1.75 x 10-2.

Answer:

$330

Step-by-step explanation:

$3 times 60 students = $180

$5 times 30 adults = $150

$180 + $150 = $330

Answer:

Step-by-step explanation:

you would find your answer by multiplying the amount of students/adults by how much each ticket costs

60 x $3 = $180

30 x $5 = $150

$180 + $150 = $330

Answer:

B A A

Step-by-step explanation:

Answer: The answer should be 39 yard line

Step-by-step explanation: If you start at the 50 and remove 11 yards you will have 39 yards left

The approximate volume of first cone is 709[tex]mi^{3}[/tex] and the volume of second cone is 262 [tex]cm^{3}[/tex].

Volume is amount of substance a container can hold in its capacity. Volume of cone is basically 1/3 *π[tex]r^{2}h[/tex] in which r is radius and h is height of cone.

We have been given two cones. First is having radius of 7 mi and

height 14 mi and second is having radius of 5 cm and height of 10 cm. We are required to find out the volume of both the cones.

Volume of first cone=1/3 *π[tex]7^{2}* 14[/tex]

=(49*3.14*14)/3

=708.86

Approximately 709 [tex]mi^{3}[/tex]

Volume of second cone =1/3π[tex]5^{2} *10[/tex]

=(25*3.14*10)/3

=261.67

Approximately 262 [tex]cm^{3}[/tex].

Hence the approximate volume of first cone is 709[tex]mi^{3}[/tex] and the volume of second cone is 262 [tex]cm^{3}[/tex].

Learn more about volume at https://brainly.com/question/463363

#SPJ2

Answer:

Answer is D

Step-by-step explanation:

because its sideways its x = y^2

and because its facing right its positive.

I had this question asked before lol

Answer:

X=[1 5 8 -1]

Step-by-step explanation:

B or Option 2

Answer:

5*x-3=12

the number is 3 because 5*3=15 and 15-3=12

Answer:

3

Step-by-step explanation:

x - 3 = 12

12 + 3 = 15

15 - 3 = 12

5( ? ) = 15

15/5

? = 3

5(3) = 15 - 3 = 12

Hope this helps dude

Answer:

20:25

Step-by-step explanation:

add how many parts (4+5=9)

45/9=5

4*5=20, 5*5=25

therefore, 20:25

Answer:

68°

Step-by-step explanation:

The sum of all internal angles of a circle always total 360°.

So, we can add the three angles (ADB, BDC, ADC) and equate them to 360°.

90 + (2x+1) + (2x-3) = 360

90 + 4x -2 = 360

4x - 2 = 360 - 90

4x - 2 = 270

4x = 272

x = 272/4

x = 68°

From here, you can find any of the two unknown angles by simply plugging in x = 68°.

Feel free to ask me if you didn't understand any part :D

Hope this helps!

Okay so multiple 17 times 8 and 16 times 33 and then add the answers together and you should get 664!

Step-by-step explanation:

here's your solution

=> Firstly divide above picture in two parts

=> 1st = traingle

=> 2nd = trapezium

=> area of traingle = 1/2*base*height

=> height = 8

=> we need to find out base by using Pythagoras formula

=> base^2 = 17^2 - 8^2

=> base^2 = 289 - 64 = 225

=> base = √225

=> base of traingle = 15

=> now, area of traingle = 1/2*15*8

=>60sq.units

=> area of trapezium = 1/2(sum of p. sides ) *

distance between them

=> area = 1/2*(33 + 15)*16

=> area = 1/2*16*48

=> area = 384sq.units

=> area of whole figure = 384 + 60

= 444 sq.units

Answer:

11.66 units

Step-by-step explanation:

Given that he walks 10 blocks north and then 6 blocks west..

When combined with the straight line to the school, this forms a right angled triangle with the straight line as the hypotenuse.

Hence, let the straight line be h

h^2 = 10^2 + 6^2 (using Pythagoras theorem)

h^2 = 100 + 36

h^2 = 136

h = √ 136

h = 11.66 units

Answer:

D,

Step-by-step explanation:

the volume of a sphere is 4/3πr^3

Answer:

y+4=-2(x+1)

Step-by-step explanation:

y-y1=m(x-x1)

y-(-4)=-2(x-(-1))

y+4=-2(x+1)

Answer:

205.2/56 = 3.66428571

rounded answer 3.7 hours

Answer:

9 combinations are in the sample space

Step-by-step explanation:

Well there's 3 sizes 4 flavors and with or without nuts

3(Sizes)+ 4(flavors)+ 2(with or without)

Therefor when you add those up you get 9 things people can choose from, known as the sample space.

Answer:

12 green bags

Step-by-step explanation:

Given data

The given ratio of green bags to white bags is

=2 to 5

=2:5

Number of white bags=30

Applying the part to part method, let the number of green bags be x

so

2/5=x/30

cross multiply

30*2=5x

60=5x

divide both sides by 5

x= 60/5

x=12

Hence there are 12 green bags

Step-by-step explanation:

to know whether it is geometric progression or not, you need to find the common ratio. to find the ratio divide the (n+1)th term by n th term

so, 12/-4 = -3

also, -36/12 = -3

here u see the ratio is always same, i.e., common ratio.

thus u can say it is a geometric series with common ratio -3

Answer:

The answers is x=3

Step-by-step explanation:

Divide both sides by the numeric factor on the left side then solve.

Hope this helps.

May i please have a brainless Thank you.

Answer:

all are correct except the third one. the formula for that one should be v = a³ since it's a cube

Step-by-step explanation:

Answer:

Step-by-step explanation:

Fig 1

<f=180-2×30=180-60=120

<D and <E are base angle of isosceles triangle.

Fig 2

AB=AC=BC=8

All the side of equilateral are equal and all interior angle also equal.

Answer:

Step-by-step explanation:

a) ΔFED is isosceles triangle. EF = ED

∠F = ∠D =x   {Angles opposite to equal sides are equal}

∠F + ∠E + ∠D = 180  {Angle sum property }

x  +x + 30 = 180

  2x + 30  = 180

           2x = 180 -30

           2x = 150

             x = 150/2

             x = 75

∠F = 75

b) All the angles are equal. So, it is an equilateral triangle. In equilateral triangle all sides are equal.

So, AB = 8