Can someone please help me with this? I'll mark brainliest :)

Answer: The correct answer is D, also for part B, do you need help with that one too?

Step-by-step explanation:

Answers:

Domain is [tex](-\infty, \infty)[/tex]

Range is [tex](-\infty, 4][/tex]

============================================

Explanation:

We can replace x with any real number we want. We don't have any restrictions to worry about since there are no division by zero issues for instance. Also, there isn't any issues of things like taking the square root of a negative number.

Therefore, the domain is the set of all real numbers which translates to the interval notation of [tex](-\infty, \infty)[/tex]

This interval notation can be thought of as [tex]-\infty < x < \infty[/tex]

----------------------------

The range on the other hand isn't the set of all real numbers. It might help to graph this parabola (see below). You should see that the highest point occurs at the vertex (5, 4). This then tells us that the largest y can get is y = 4.

In other words, y = 4 or y can be smaller than this.

In symbols, we would say the range is [tex]y \le 4[/tex] and that translates to the interval notation of [tex](-\infty, 4][/tex]

The curved parenthesis always goes with either infinity. The square bracket says "include the endpoint 4 as part of the interval".

Answer:

She bought 20 eggs that were 12 cents, and she bought 30 eggs that were 14 cents.

Step-by-step explanation:

Create a system of equations where x is the number of 12 cent eggs and y is the number of 14 cent eggs.

x + y = 50

0.12x + 0.14y = 6.6

Solve by elimination by multiplying the top equation by -0.12:

-0.12x - 0.12y = -6

0.12x + 0.14y = 6.6

Add these together and solve for y:

0.02y = 0.6

y = 30

So, she bought 30 eggs that were 14 cents. Plug in 30 as y into one of the equations, and solve for x:

x + y = 50

x + 30 = 50

x = 20

So, she bought 20 eggs that were 12 cents.

She bought 20 eggs that were 12 cents, and she bought 30 eggs that were 14 cents.

Step-by-step explanation:

[tex]y = {x}^{2} - 4x \\ y = x(x - 4) - - - (a) \\ 2x - y = 2 \\ y = 2x - 2 \\ y = 2(x - 2) - - - (b) \\ (a) = (b) : \\ x(x - 4) = 2(x - 2) \\ {x}^{2} - 4x = 2x - 2 \\ {x}^{2} - 6x + 2 = 0 \\ x = 5.6 \: \: and \: \: 0.4 \\ y = 2(5.6 - 2) \: \: and \: \: 2(0.4 - 2) \\ y = 7.2 \: \: and \: \: - 3.2[/tex]

Answer:

26

Step-by-step explanation:

Perimeter= width+height+width+height

               = 5 + 8 + 5 + 8

               = 26 cm

Hope this helps!

Answer:

Step-by-step explanation:

Recall that the argument of the square root function y = √x must always be 0 or greater.

If you meant y=√x+8 -7, the domain is therefore [0, infinity).

But if you meant y=√(x+8) -7, the domain is [-8, infinity).

Those parentheses are important!

Hey there!

(a^8)^4

= a^(8)(4)

8(4) = 32

= a^32

Answer: a^32

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

The author sold a total of 30240 books following this trend.

Step-by-step explanation:

Let's find 5% of 14400 first;

14400 * 5%

14400 * 5/100

144 * 5

720 (So now we know that they are decreasing by 720 each month; therefore thats the constant)

=> aₙ = a₁ + r(n - 1)

=> a₂₃ = 14400 + 720(23 - 1)

=> a₂₃ = 14400 + 720(22)

=> a₂₃ = 14400 + 15840

=> a₂₃ = 30240

Hope this helps!

The author sold a total of 30240 books following this trend.

Let's find 5% of 14400 first;

[tex]14400 * 5\%\\14400 * 5/100\\144 * 5=720[/tex]

A, is a type of numerical sequence studied by Mathematics, where each term or element counting from the second is equal to the sum of the previous term with a constant.

So using the arithmetic progression we have:

[tex]a_n = a_1 + r(n - 1)\\a_{23} = 14400 + 720(23 - 1)\\ a_{23} = 14400 + 720(22)\\ a_{23} = 14400 + 15840\\a_{23} = 30240[/tex]

See more about arithmetic progression at brainly.com/question/20385181

Answer:

12,467

Step-by-step explanation:

7 · 1781 = 12467

Answer:

n=6

Step-by-step explanation:

5n-17=2n+1

Subtract 2n from each side

5n-2n-17=2n-2n+1

3n -17 = 1

Add 17 to each side

3n -17+17 = 1+17

3n = 18

Divide by 3

3n /3 = 18/3

n=6

[tex] \large \sf \star \: \green{Answer }\: \star[/tex]

[tex] \small \sf \fbox{n = 6}[/tex]

[tex] \small \sf \mapsto \: 5n \: - 17 = 2n + 1[/tex]

subtract 2n from both side

[tex] \small \sf \mapsto \: 5n \: - 2n \: - 17 = 2n \: - 2n + 1[/tex]

[tex] \small \sf \: \mapsto \: 3n \: - 17 = 1[/tex]

Add 17 to both side

[tex] \small \sf \mapsto \: 3n \: - 17 + 17 = 1 + 17[/tex]

[tex] \small \sf \mapsto \: 3n \: = 18 [/tex]

Divide 18 by 3

[tex] \small \sf \: n \: = \frac{18}{3} \\ [/tex]

n = 6

Answer:

The Principal = $75,000

Step-by-step explanation:

Formula for finding the principal:

I × 100/ R × T

Therefore;

Principal = 45 × 100 / 3/ 100 × 2

[tex] = \: \frac{45 \times 100}{ \frac{3}{100} \times 2} \\ = \frac{4500}{ \frac{3}{50} } \\ = 4500 \times \frac{50}{3} \\ = 1500 \times 50 \\ = 75000.00[/tex]

Which means that the Principal is $75,000.00

Answer:

80

Step-by-step explanation:

50+50=100-20=80

Answer:

72/97

Step-by-step explanation:

take angle c as reference angle

to find sin c

sin c = opposite / hypotenuse

sin c = 72 / 97

Answer:

i dont know

Step-by-step explanation:

Answer:

[tex]p=3[/tex]

Step-by-step explanation:

[tex]6p-5=13[/tex]

     [tex]+5[/tex]     [tex]+5[/tex]

[tex]6p=18[/tex]

[tex]/6[/tex]      [tex]/6[/tex]

[tex]p=3[/tex]

Answer:

The student did not complete the inverse operations correctly in Step 3

Answer:

(0, -4)

Step-by-step explanation:

The coordinates of the points from which the directed line segment extends = (-6, -6) to (9, -1)

The ratio the required point partitions the line = 2 to 3

The formula for finding the coordinate of a point that partitions a line AB into a ratio 'a' to 'b', where the coordinates of, A = (x₁, y₁) and B = (x₂, y₂) is given as follows;

[tex]\left(\dfrac{a}{a + b} \times (x_1 - x_2)+ x_1, \ \dfrac{a}{a + b} \times (y_1 - y_2)+ y_1 \right)[/tex]

Therefore, the required point is located as follows;

[tex]\left(\dfrac{2}{2 + 3} \times (9 - (-6))+ (-6), \ \dfrac{2}{2 + 3}\times (-1 - (-6))+ (-6) \right) = (0, -4)[/tex]

The coordinates of the point is (0, -4)

Answer:

h = 5/2

Step-by-step explanation:

[tex]\frac{3}{4} *\frac{1}{2} *h=\frac{15}{16} \\\\\frac{3}{8} *h=\frac{15}{16}[/tex]

divide both sides by 3/8

[tex]h=\frac{5}{2}[/tex]

Answer:

(3) An amusement park allows 50 people to enter every 30 minutes.

Step-by-step explanation:

I hope it helped because it helped me so much.

Answer:

14

Step-by-step explanation:

AB = 10+( 10/15 × 6)

= 10 + 4= 14

Answer:

x=2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(x−4)=2(−2x+1)

(3 )(x)+(3 )(−4)=(2) (−2x)+(2) (1)(Distribute evenly)

3x+(−12)=−4x+2

3x−12=−4x+2

Step 2: Add 4x to both sides.

3x−12+4x=−4x+2+4x

7x−12=2

Step 3: Add 12 to both sides.

7x−12+12=2+12

7x=14

Step 4: Divide both sides by 7.

7x /7 =14 /7

x=2

Answer:

$74.36 sorry all i got

Step-by-step explanation:

First, we need to determine the sales price of the skateboard. The formula for find the discounted prices is:

Where:

is the sales price of the item: what we are solving for in this part of the problem.

is the regular price of the item: $79.16 for this problem.

is the discount rate: 12% for this problem. "Percent" or "%" means "out of 100" or "per 100", Therefore 12% can be written as  

12

100

Substituting and calculating  

gives

79.16

79.16

12

100

79.16

949.92

100

79.16

9.4992

69.6608

69.66

rounded to the nearest cent.

Now we can find the total price of the item with tax included. The formula for this is

#t = p + (p * r)

Where, this time:

is the total price: what we are solving for in this problem.

is the price of the item: it is the sales price of the item for this problem which is $69.66

is the tax rate: 6.75% or, using the same rule as in the formula above:  

6.75

100

Substituting and calculating  

gives:

69.66

69.66

6.75

100

69.66

470.205

100

69.66

4.70205

74.36205

74.36

rounded to the nearest cent.

Noah would pay a total cost (with the discount and after tax) of $74.36

Answer:

A = 24

Step-by-step explanation:

Use the problems provided info!

A = B+8

C = 2B

72 = B+8+2B+B

72-8 = 4B

6434 = 4B/4

16 = B

A = 24

B = 16

C = 32

Answer:

c

Step-by-step explanation:

If he could clean the house alone in one hour, then it wouldve taken him and his sister less than that. if he could clean it in 3 hours, it wouldve tkane him and his sister 1.5 hours.

Answer:

Step-by-step explanation:

c. 6 hours

Answer:

$84

Step-by-step explanation:

Do 3/5*140 which will give you 84 dollars

Answer:

4 cm per hour that's the answer

Answer:

Step-by-step explanation:

In the rectangular complex number -9√3 + 9i, which has a standard form a + bi, the a = -9√3 and the b = 9. We need this in polar form (r, θ) where

[tex]r=\sqrt{a^2+b^2}[/tex] and filling in:

[tex]r=\sqrt{(-9\sqrt{3})^2+(9)^2 }[/tex] (notice we do not put the i in there with the 9).

[tex]r=\sqrt{243+81}[/tex] so

r = 18. Now let's move on to the angle, which is a little more difficult. The angle is found in the inverse tangent ratio:

[tex]tan^{-1}(\frac{b}{a})[/tex] so filling that in, we have:

[tex]tan^{-1}(\frac{9}{-9\sqrt{3} })=\frac{1}{-\sqrt{3} }[/tex] Since tangent is the side opposite over the side adjacent, y is positive and x is negative in the second quadrant. This is a 30 degree angle in QII, which has a reference angle of 150 degrees. This angle in radians is [tex]\frac{5\pi}6}[/tex], so the polar form of that number is (18, [tex]\frac{5\pi}{6}[/tex])

Answer:

its d

Step-by-step explanation:

i guessed lol

Answer:

2(n+4)

good luck

Answer:

n+4=n×2

Step-by-step explanation:

that is the equation

Answer:

The volume of a cylinder is 325π.

Step-by-step explanation:

The volume of a cylinder is given by:

[tex]V = \pi r^{2}h[/tex]

Where:

h: is the height

r: is the radius = 5

We can find "h" from the surface area of the cylinder:

[tex]SA = 2\pi rh + 2\pi r^{2} = 180\pi[/tex]

[tex] h = \frac{180\pi - 2\pi r^{2}}{2\pi r} = \frac{180\pi - 2\pi (5)^{2}}{2\pi*5} = 13 [/tex]

Hence, the volume is:

[tex]V = \pi r^{2}h = \pi*(5)^{2}*13 = 325 \pi[/tex]

Therefore, the volume of a cylinder is 325π.

I hope it helps you!