Question 7 of 25

If f(x) = 3x2 - 2x + 4 and g(x) = 5x2 + 6x - 8, find (f+ g)(x).

A. (f+ g)(x) = -2x2 - 8x+ 12

B. (f+g)(x) = 8x2 + 8x + 12

O C. (f+g)(x) = 2x2 + 8x - 12

D. (f+g)(x) = 8x2 + 4x - 4

Work Shown:

[tex]\frac{1+\sqrt{-32}}{4}\\\\\frac{1+\sqrt{-1*16*2}}{4}\\\\\frac{1+\sqrt{-1}*\sqrt{16}*\sqrt{2}}{4}\\\\\frac{1+i*4*\sqrt{2}}{4}\\\\\frac{1+4i*\sqrt{2}}{4}\\\\\frac{1}{4}+\frac{4i*\sqrt{2}}{4}\\\\\boldsymbol{\frac{1}{4}+i\sqrt{2}}\\\\[/tex]

This matches with choice C. The imaginary 'i' term is not under the square root.

Answer:

330

Step-by-step explanation:

substitute x for 40 because that is how much you have in your account.

y= 70 - 10(40)

y = 70 - 400

y = 330

Therefore you bought 330 video games!!

Hope this helps, please tell me if I am wrong, I love learning from my mistakes:)

Step-by-step explanation:

A1

1 yard = 3 feet

1 foot = 12 inches

therefore,

100 yards = 100×3×12 inches = 3600 inches

A2

again, 1 yard = 3 feet

8 ft = 8/3 = 2.67 yards = 2 2/3 yards

A3

1 gallon = 8 pints

A4

1 liter = 1000 milliliters (remember, "mili" means 1/1000).

therefore,

2.2 liters = 2.2×1000 = 2200 milliliters

A5

again, 1 liter = 1000 milliliters

therefore

1 milliliter = 1/1000 liter

670 milliliters = 670 × 1/1000 liter = 670/1000 liter =

= 0.67 liter

B1

1 kg (kilogram) = 1000 grams ("kilo" means 1000).

we have 3 layers.

each layer weighs (cake plus icing)

1/2 kg + 100 g = 500 g + 100 g = 600 g

3 layers then weigh

3×600 g = 1800 g

the additional candle weighs 250 g.

so, the total is

1800 g + 250 g = 2050 g = 2.05 kg

B2

area is 110 m².

1 m = 100 cm ("centi" means 1/100).

and 1 m² is then 100×100 = 10000 cm².

so, the area in cm² is

110 × 10000 = 1,100,000 cm²

the top area of one brick = 10 × 20 = 200 cm²

so, we need

1,100,000 / 200 = 11,000 / 2 = 5500 bricks

The equation of g(x) is [tex]\rm g(x) = 10^{x-3}[/tex].

Given that,

The graphs of f(x) = 10x and its translation, g(x), are shown.

We have to determine,

What is the equation of g(x)?

According to the question,

The given graphs of two functions f(x) and g(x).

The function f(x) is an exponential function and is given by:

[tex]\rm f(x) = 10^x[/tex]

To find the equation for the transformed function g(x).

We could see that the graph of the function g(x) passes through points (3,1), (4,10), (5,100), and so on.

This means that the equation or the expression for the function g(x) is given by:

[tex]\rm g(x) = 10 ^{x-3}[/tex]

Substitute the value of x = 3 in the function g(x),

[tex]\rm g(x) = 10 ^{x-3}\\\\g(3) = 10^{3-3}\\\\g(3) = 10^0\\\\g(3) = 1[/tex]

Substitute the value of x = 4 in the function g(x),

[tex]\rm g(x) = 10 ^{x-3}\\\\g(4) = 10^{4-3}\\\\g(3) = 10^1\\\\g(3) = 10[/tex]

Hence, The equation of g(x) is [tex]\rm g(x) = 10^{x-3}[/tex].

For more details refer to the link given below.

https://brainly.com/question/13148696

Answer:

the answer is a g(x)= 10x^-3

Step-by-step explanation:

Answer: YOU DONT GIVE THE PROBLEM

Step-by-step explanation:

Answer:

four pack of notebooks for $4.56

Answer:

the 3-pack of note books for 3.33

Step-by-step explanation:

hope this helped have a great day!

Answer:

  (f·g)(x) = x³ -8x² +20x -16

Step-by-step explanation:

The distributive property is useful for this.

  (f·g)(x) = f(x)·g(x) = (x² -6x +8)(x -2)

  = x(x² -6x +8) -2(x² -6x +8)

  = x³ -6x² +8x -2x² +12x -16

  (f·g)(x) = x³ -8x² +20x -16

_____

Additional comment

I find it convenient to separate the terms of the shortest polynomial. That way, the distributive property doesn't need to be used quite so many times. Of course, any outside minus sign applies to all terms inside parentheses.

Answer:

36 yards

Step-by-step explanation:

10 yards needed minus 30 then add 1 and 3 and you have your answer

Answer:

17

Step-by-step explanation:

substitute t = - 9 into f(t) , that is

f(- 9) = - 2(- 9) - 1 = 18 - 1 = 17

Answer:

54 units^2

Step-by-step explanation:

Answer:

16/20

Step-by-step explanation:

4 is the common factor. 16 % 4 = 4, 20 % 4 = 5. therefore, 16/20 = 4/5

The answer is 16/20 I think.

Step-by-step explanation:

radius of circle =5 cm

circumference of a circle =2πr

=2π×5

=10π=10×3.14

circumference=31.4 cm

Answer:

  (x, y) = (6, 2)

Step-by-step explanation:

You solve for x and y by writing equations that reflect the relation applicable to the given geometry.

The diagonals of a parallelogram bisect each other. That means the halves of each diagonal are equal.

  2x -4 = 4y . . . . . . down diagonal

  x +4 = 7y -4 . . . . . up diagonal

__

We can subtract the first equation from 2 times the second equation to eliminate the x-variable.

  2(x +4) -(2x -4) = 2(7y -4) -(4y)

  2x +8 -2x +4 = 14y -8 -4y . . . . . . eliminate parentheses

  12 = 10y -8 . . . . . . . . . . . . . . . . . collect terms

  20 = 10y . . . . . . . . . . . . . . . . . . add 8

  2 = y . . . . . . . . . . . . . . . . . . . . divide by 10

Substituting into the second equation gives ...

  x +4 = 7(2) -4

  x = 6 . . . . . . . . . . . . subtract 4

The values of x and y are (x, y) = (6, 2).

_____

The lengths of the diagonals are 20 and 16.

Answer:

5. x(x+4)

6. 7x(x-3)

7. 12x(x+5)

8. 4x(2x+5)

B. (0,2) and E (2,2) are the ordered pairings that allow both inequalities to hold.

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

We can check which ordered pairs satisfy both inequalities by substituting the x and y values into each inequality and checking if they are both true.

Let's check each option:

A. (-1,3)

The first inequality gives us 3 < 5(-1) + 2, which simplifies to 3 < -3. This is false, so (-1,3) does not satisfy the first inequality.

The second inequality gives us 3 ≥ 1/2(-1) + 1, which simplifies to 3 ≥ 1/2. This is true, so (-1,3) satisfies the second inequality.

B. (0,2)

The first inequality gives us 2 < 5(0) + 2, which simplifies to 2 < 2. This is false, so (0,2) does not satisfy the first inequality.

The second inequality gives us 2 ≥ 1/2(0) + 1, which simplifies to 2 ≥ 1. This is true, so (0,2) satisfies the second inequality.

C. (1,2)

The first inequality gives us 2 < 5(1) + 2, which simplifies to 2 < 7. This is true, so (1,2) satisfies the first inequality.

The second inequality gives us 2 ≥ 1/2(1) + 1, which simplifies to 2 ≥ 3/2. This is true, so (1,2) satisfies the second inequality.

D. (2,-1)

The first inequality gives us -1 < 5(2) + 2, which simplifies to -1 < 12. This is true, so (2,-1) satisfies the first inequality.

The second inequality gives us -1 ≥ 1/2(2) + 1, which simplifies to -1 ≥ 2. This is false, so (2,-1) does not satisfy the second inequality.

E. (2,2)

The first inequality gives us 2 < 5(2) + 2, which simplifies to 2 < 12. This is true, so (2,2) satisfies the first inequality.

The second inequality gives us 2 ≥ 1/2(2) + 1, which simplifies to 2 ≥ 2. This is true, so (2,2) satisfies the second inequality.

Therefore, the ordered pairs that make both inequalities true are B. (0,2) and E. (2,2).

Learn more about inequalities here:

https://brainly.com/question/30231190

#SPJ7

Answer:

100 meters

Step-by-step explanation:

4 sides

1 side = 25 m

25m = width as well

so just multiply 25 by 4 to get your answer

Mr John needs to focus on outlining the width and length of the farm. Based on the length and width being the same length, the shape of the farm is a square. To make things simple, multiply the length of one side by four and you will have the exact amount needed to place a fence.

25m x 4 = 100m

So, Mr John needs about 100m of fencing to complete the construction of the fence surrounding his farm.

Answer:

2

Step-by-step explanation:

slope formula : [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] where the x and y values are derived from known points

We are given the points (3,1)and (4,3)

Given these points we can define our variables

(x1,y1) = (3,1) so x1 = 3 and y1 = 1

(x2,y2) = (4,3) so x2 = 4 and y2 = 3

Now that we have defined our variable, we plug them into the formula

Recall formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

x1 = 3 , y1 = 1 , x2 = 4 , y2 = 3

* plug in values *

[tex]\frac{3-1}{4-3}[/tex]

subtract 3 and 1 , and 4 and 3

[tex]\frac{3-1=2}{4-3=1} =\frac{2}{1} =2[/tex]

the slope is 2

Answer:

2b+9

Step-by-step explanation:

Answer:

find the perpendicular of the angle of pole

Answer:

basketball player scored 40 points in a game. The number of three-point field goals the player made was 22 less than three times the number of free throws (each worth 1 point). Twice the number of two point field goals the player made was 11 more than the number of three point field goals made. Find the number of free-throws, two point field goals, and three point field goals that the player made in the game.

Once I have the equations I understand how to do the problem, but I am obviously doing something wrong because each time I write out the equations I end up getting fractions.

The amount she makes in an hour is $15.90.

The amount Taylor earns is directly proportional to the hours Taylor works.

The equation that can be used to represent direction proportion is:

y = kx

where:

y = dependent variable

k = constant of proportionality

x = independent variable

e = 15.9h

Amount earned in an hour

e = 15.9(1)

e = $15.90

A similar question was answered here: https://brainly.com/question/24799762

Answer:

I can't see much so take one more than I can help

Answer: y = (5/3)x - 5

Step-by-step explanation:

5x-3y=15

-3y = -5x + 15

y = (5/3)x - 5

Answer:

In slope intercept form, I think it would be y=5/3x-5

Step-by-step explanation:

5x-3y=15

-subtract 5x on both sides-

-3y=-5x+15

-divide by -3 on both sides-

y=-5/-3x+15/-3

(the negatives on -5/-3 cancel each other out leaving you with a positive 5/3)

y=5/3x-5

Im not sure if all calculations are correct, but i hope this helps! :)

Answer:

x = 75°

Step-by-step explanation:

180° - 105° = 75°

75° = 75°

Line CG is 180°. The angle of 105° is on this line, and we know that ∠F + 105° = 180° so we can subtract 105° from 180° to find ∠F. Next, ∠F and ∠x are corresponding angles, so they will be equal.

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

A

Step-by-step explanation:

This is because it is discounting however in the others it's increasing VAT=Value added Tax,

gain, 45-25=£20 profit therefore it's A.

Answer:

Gadget of 5000 with 5% discount price

Step-by-step explanation:

This is the only option with a discount, not an additional extra on top.

[tex]-3a^3(7a^4 - 5a + 5)\\\\=-21a^7+15a^4-15a^3[/tex]