What is the sale price for an item with an original price of 13.99 after applying a discount of 45%?

[tex] - 11a(3a + 2) \\ = - 11a \times 3a \: \: \: \: \: \: \: \: \: \: \: \: \: - 11a \times 2a \\ = - 11 \times 3 \times a \times a \: \: \: \: \: \: \: \: \: \: \: \: \: - 11 \times 2 \times a \times a \\ =\boxed {- 33a {}^{2} - 22a {}^{2}}[/tex]

[tex]I \: hope \: it \: will \: help \: you[/tex]

Answer:

3

Step-by-step explanation:

5(x-1)-2

5(2-1)-2

5×1-2

5-2

3

Hope this helps you :)

please mark brainliest

Answer:

[tex](f-g)(x)=-4x^2+10x[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]f(x)=-x^2+6x-1\text{ and } g(x)=3x^2-4x-1[/tex]

And we want to find:

[tex](f-g)(x)[/tex]

This is equivalent to:

[tex]=f(x)-g(x)[/tex]

Substitute:

[tex]=(-x^2+6x-1)-(3x^2-4x-1)[/tex]

Distribute:

[tex]=-x^2+6x-1+(-3x^2+4x+1)[/tex]

Rearrange:

[tex]=(-x^2-3x^2)+(6x+4x)+(-1+1)[/tex]

Combine like terms. Hence:

[tex](f-g)(x)=-4x^2+10x[/tex]

Answer:

24-12

Step-by-step explanation:

[tex] \sqrt{x { }^{2} -6x + 9} [/tex]

Given x>3 i.e. 4

√4^2 -6*4+ 9

√16 -24 + 9

√25-24

√1

Answer:

a.  (-3, 6)

b. 268.3 m

Step-by-step explanation:

a. Determine the coordinates of the tennis court.

Let (x,y) be the coordinates of the tennis court. Since we have equal distances from the tennis court to each residence, we have using the equation for distance between two points (x₁,y₁) and (x₂,y₂), d = √[(y₂ - y₁)² + (x₂ - x₁)²]. Using the first two residences, (-6, 12) and (0,0) as (x₂,y₂) and (x, y) = (x₁,y₁), So,

d = √[(12 - y)² + (-6 - x)²]

d = √[(12 - y)² + (6 + x)²]

d = √[(144 - 24y + y² + 36 + 12x + x²]

d = √x² + y² + 12x - 24y + 180

d² = x² + y² + 12x - 24y + 180  (1)

Also, with (x₂, y₂) = (0,0) we have

d = √[(0 - y)² + (0 - x)²]

d = √[( - y)² + (- x)²]

d = √[y² + x²]

d = √[x² + y²]

d² = x² + y²  (2)

Also, with (x₂, y₂) = (3,9) we have

d = √[(9 - y)² + (3 - x)²]  

d = √[(81 - 18y + y² + 9 - 6x + x²]

d = √(x² + y² - 6x - 18y + 90)

d² = x² + y² - 6x - 18y + 90 (3)

Substituting (2) into (1), we have

d² = x² + y² + 12x - 24y + 180   (1)

d² = d² + 12x - 24y + 180  (1)

d² - d² = 12x - 24y + 180

12x - 24y + 180 = 0

12x - 24y = -180

dividing through by 12, we have

x - 2y = -15  (4)

Substituting (2) into (3), we have

d² = x² + y² - 6x - 18y + 90 (3)

d² = d² - 6x - 18y + 90 (3)

d² - d² = - 6x - 18y + 90

- 6x - 18y + 90 = 0

- 6x - 18y = -90

dividing through by -6, we have

x + 3y = 15 (5)

Subtracting (5) from (4), we have

x - 2y = -15  (4)

-

x + 3y = 15 (5)

-5y = -30

y = -30/-5

y = 6

substituting y = 6 into (4), we have

x - 2y = -15

x - 2(6) = -15

x - 12 = -15

x = 12 - 15

x = -3

So, the coordinates of the tennis court is (-3, 6)

b. What is the distance from a residence to the court to the nearest 10th of a metre? (1unit=40m).

Using equation (2),

d² = x² + y²  (2) where x and y are the coordinates of the tennis court, and x = -3 and y = 6

So,

d² = x² + y²  

d² = (-3)² + (6)²  

d² = 9 + 36  

d² = 45

d = √45 units

Since 1 unit = 40 m,

d = √45 × 40 m

d = 6.708 × 40 m

d = 268.33 m

d ≅ 268.3 m to the nearest tenth of a metre

Answer:

[tex](a)\ (x+6)^2 + (y-5)^2 = 25[/tex]

[tex](b)\ Area = 16.75cm^2[/tex]

Step-by-step explanation:

Solving (a):

Given

[tex](a,b) = (-6,5)[/tex]

[tex]r = 5[/tex]

Required

The equation of the circle

This is calculated as:

[tex](x-a)^2 + (y-b)^2 = r^2[/tex]

So, we have:

[tex](x--6)^2 + (y-5)^2 = 5^2[/tex]

[tex](x+6)^2 + (y-5)^2 = 25[/tex]

Solving (b):

Given

[tex]r = 8cm[/tex]

[tex]\theta = 30^o[/tex] --- Missing from the question

Required

The area of the sector

This is calculated using:

[tex]Area = \frac{\theta}{360} * \pi r^2[/tex]

So, we have:

[tex]Area = \frac{30}{360} * 3.14 * 8^2[/tex]

[tex]Area = \frac{1}{12} * 200.96[/tex]

[tex]Area = 16.75cm^2[/tex]

Step-by-step explanation:

Mass = Density × Volume or m=pV

Density = 6

Volume = 13

6 × 13 = 78

The mass of the iron ball is 78.

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

Work Shown:

d = density = 6 grams per cm^3

m = mass = unknown

v = volume = 13 cm^3

--------

d = m/v

dv = m

m = dv

m = 6*13

m = 78 grams

Answer: 90.5

Step-by-step explanation:

Answer:

90.6

Step-by-step explanation:

If you mean "what is the average of 94.2 and 87," that is found as follows:

 94.2 + 87

------------------ = 90.6

          2

We say, "the average" (or "the mean") of 94.2 and 87 is 90.6."  90.6 lies exactly halfway between 87 and 94.2.

Answer: $20

Step-by-step explanation:

If she already has 9, and she needs 49, take that extra 9 off 49 and then she needs 40 more and she gets 2 for a dollar, she'll need to spend $20 to get 40 headbands. Can I please get Brainliest?

Step-by-step explanation:

600 ft

is your answer

I hope it helps

Answer:

a. 135 is the correct answer

Step-by-step explanation:

Want to find out what the total degrees is of the octagon.

Octagon = 1080

Divide 1080 by 8

135 degrees per angle

Answer:

Option A is correct

Step-by-step explanation:

Hint :

Sum of angles in Regular Octagon = 1080°.

Simplify :

[tex]∴z = 135[/tex]

Answer:

4.12m

Step-by-step explanation:

(distance of whole shadow - distance of Aisha from tree)

17.95-12.5=5.45m

17.95/5.45=3.29...(scale factor)

3.29...*1.25=4.12m(to the nearest hundredth)

Answer:

No, the points are evenly distributed about the x-axis

Step-by-step explanation:

Hope its right , if not so advance sorry :)

Answer:

100,000

Step-by-step explanation:

I'm pretty sure. hope this helped <3 also I LOVE UR PFP ;)

Answer:

x ≈ 12.96

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² + 11² = 17²

x² + 121 = 289 ( subtract 121 from both sides )

x² = 168 ( take the square root of both sides )

x = [tex]\sqrt{168}[/tex] ≈ 12.96 ( to the nearest hundredth )

Answer:

(1,3)

Hope this helps! :)

Answer:

1520.53

Step-by-step explanation:

The volume of a cylinder is V = pi r^2 h

So you put 16 as the h and half of 11 because 11 is the diameter as r.

V= pi (5.5)^2 * 16

We can also approximate pi and put 3.1415

V= 3.1415 * (5.5)^2 * 16

V = 3.1415 * 30.25 * 16

V= 1520.486

And that is closest to the 3rd option 1520. 53 so that's the answer.

Answer:

333831

Step-by-step explanation:

Answer:

10^7 is 10,000,000

3 x 10^3 is 3000

Therefore to find how many times 10^7 is as large as 3.10^3, divide 10,000,000 by 3000

& you’ll get 3333.3

Step-by-step explanation:

Answer:

-0.67 rounded to hundredths

Step-by-step explanation:

3×(q + 4/3) = 2

q + 4/3 = 2/3

q = -2/3 = -0.666666666666...

Answer:

I think it is k(2,5) or k'(-2, -5

Step-by-step explanation:

Hope This Helps Have A Good Day

70% sure that it is K(2,5)

Answer:

y =< 6x + 3

you copypasta looks weird, but I would go for option c if i read this correctly

Answer:

Ascending order

Step-by-step explanation:

Ascending numbers are numbers that begin from smallest to biggest.

Given:

The sequence is:

[tex]-3,5,13,21...[/tex]

To find:

The explicit formula for the given sequence then find the 47th term.

Solution:

We have,

[tex]-3,5,13,21...[/tex]

The difference between two consecutive terms are:

[tex]5-(-3)=8[/tex]

[tex]13-5=8[/tex]

[tex]21-13=8[/tex]

The given sequence has a common difference. So, the given sequence is an arithmetic sequence with first term -3 and common difference 8.

The explicit formula for an arithmetic sequence is:

[tex]a_n=a+(n-1)d[/tex]

Where, a is the first term and d is the common difference.

Putting [tex]a=-3[/tex] and [tex]d=8[/tex] in the above formula, we get

[tex]a_n=-3+(n-1)8[/tex]

[tex]a_n=-3+8n-8[/tex]

[tex]a_n=8n-11[/tex]

Putting [tex]n=47[/tex], we get

[tex]a_{47}=8(47)-11[/tex]

[tex]a_{47}=376-11[/tex]

[tex]a_{47}=365[/tex]

Therefore, the explicit formula for the given sequence is [tex]a_n=8n-11[/tex] and the 47th term is 365.

Answer:

neither

Step-by-step explanation:

Slope of the first line: (y2 -y1)/(x2-x1) = (3-(-5)/-1 = 8/-1 = -8

Slope of the second line: (2-3)/4-(-4) = -1/8

They are neither parallel nor perpendicular. In fact the two lines have different slope so they can’t be parallel. In addition the product of their slope is not -1, so they can’t be perpendicular,

Answer:

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

cosB = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{5}{13}[/tex]

tanB = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{12}{5}[/tex]

sinB = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{12}{13}[/tex]

The length is 5

Step-by-step explanation:

Let the length be x

Width = ( X - 2)

Area = 15

area = length * width

15 = x(x -2)

15 = x² - 2x

x² - 2x - 15 = 0

(x² + 3x) - (5x - 15) = 0

x(x + 3) - 5(x + 15) = 0

x - 5 = 0 or x + 15 = 0

x =5 or x = -15

x = 5

Answer:

6

Step-by-step explanation:

1/4= 6 men

1/2=12 men

therefore 24-12-6=6 men

Answer:

Y=40 X=75

Step-by-step explanation:

i think im not 100% on that, been a long time since i did stuff with triangles

Answer:

gdjksbdifkfnfuwiaksujdbf