An online store increased the price of a shirt by 17% and charged $3 to ship the shirt to a customer. The customer paid $43 for the shirt. What was the original price of the shirt?


Please explain thoroughly how to get the answer. 15 points

Answer:

the answer is 21

Step-by-step explanation:

Answer:

[tex]\boxed{x^2=-8y}[/tex]

Step-by-step explanation:

[tex](a,b)\ is \ the\ focus\\y=k\ is \ the\ directrice\\\\Formula\ to\ use:\ y=\dfrac{(x-a)^2}{2(b-k)} +\dfrac{b+k}{2} \\\\Here: \ a=0,\ b=-2, \ k=2\\\\y=\dfrac{(x-0)^2}{2(-2-2)} +\dfrac{-2+2}{2} \\\\so\ y=-\dfrac{x^2}{8} \\\\or\ x^2=-8y[/tex]

The equation which represents the parabola is x^2 = 8y, the correct option is C.

If a quadratic equation is written in the form

y=a(x-h)^2 + k

then it is called to be in vertex form. It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)

First of all, i used this vertex formula thing since it is visible that there are quadratic functions. Otherwise, you had to use calculus to get critical points, then second derivative of functions to find the character of critical points as minima or maxima or saddle etc to get the location of vertex point.

This point (h,k) is called the vertex of the parabola that quadratic equation represents.

We are given that;

Focus of parabola= (0,–2)

Now,

The vertex is halfway between the focus and the directrix on a line perpendicular to them. Since the focus is at (0,-2) and the directrix is y = 2, we can find that:

The vertex is at (0,0), because it has an x-coordinate of 0 (same as the focus) and a y-coordinate of 0 (the average of -2 and 2).

p is equal to 2, because it is half of the distance between -2 and 2.

Now we can plug in these values into the formula:

(x - 0)^2 = 4(2)(y - 0)

Simplifying, we get:

x^2 = 8y

Therefore, the equation of the parabola will be x^2 = 8y.

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Answer:

My best guess rn is the first option

Step-by-step explanation:

the last dude had it close but it was basically flipped as you can tell.

The answer is (C) [tex]R_2=\frac{R_TR_1}{(R_1-R_T)}[/tex]

We need to make [tex]R_2[/tex] the subject of the formula [tex]R_T=\frac{R_1R_2}{R_1+R_2}[/tex]

First remove the denominator by multiplying both sides by the binomial [tex](R_1+R_2)[/tex]

[tex]R_T\times (R_1+R_2)=\frac{R_1R_2}{R_1+R_2}\times(R_1+R_2)\\\\R_TR_1+R_TR_2=R_1R_2[/tex]

Arrange all terms containing [tex]R_2[/tex] on one side

[tex]R_1R_2-R_TR_2=R_TR_1[/tex]

Factor out [tex]R_2[/tex] from the LHS

[tex]R_2(R_1-R_T)=R_TR_1[/tex]

Finally, divide both sides by the binomial [tex](R_1-R_T)[/tex] to leave [tex]R_2[/tex]

[tex]R_2(R_1-R_T)\times\frac{1}{(R_1-R_T)}=R_TR_1\times\frac{1}{(R_1-R_T)}\\\\R_2=\frac{R_TR_1}{(R_1-R_T)}[/tex]

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Answer:

Step-by-step explanation:

Given equation of the quadratic function is,

y = x² + 5x - 7

Convert this equation into vertex form,

y = x² + 2(2.5x) - 7

  = x² + 2(2.5x) + (2.5)² - (2.5)² - 7

  = (x + 2.5)²- 6.25 - 7

  = (x + 2.5)² - 13.25

Therefore, vertex of the function is → (-2.5, -13.25)

For the solutions,

y = 0

(x + 2.5)² - 13.25 = 0

x = (±√13.25) - 2.5

x = (±3.64) - 2.5

x = 1.14, -6.14

Solutions → (-6.14, 0) and (1.14, 0)

Answer:

AE = 18 units

Step-by-step explanation:

Δ AEB and Δ DEC are similar , then corresponding sides are in proportion, that is

[tex]\frac{AE}{DE}[/tex] = [tex]\frac{AB}{DC}[/tex] , substitute values

[tex]\frac{2x+4}{x+8}[/tex] = [tex]\frac{12}{10}[/tex] ( cross- multiply )

10(2x + 4) = 12(x + 8) ← distribute parenthesis on both sides

20x + 40 = 12x + 96 ( subtract 12x from both sides )

8x + 40 = 96 ( subtract 40 from both sides )

8x = 56 ( divide both sides by 8 )

x = 7

Then

AE = 2x + 4 = 2(7) + 4 = 14 + 4 = 18 units

Respuesta:

A.) BA = 12 m

Explicación paso a paso:

Usando triángulos similares:

BA / AC = DE / EC

BA = x; AC = 20; DE = 3; EC = 5

POR ESO ; TENEMOS :

x / 20 = 3/5

Multiplicar en cruz:

5 * x = 20 * 3

5 veces = 60

5x / 5 = 60/5

x = 12

Answer:

22% reduction

Step-by-step explanation:

Find the percent decrease by dividing the difference in amounts by the original amount.

Find the difference:

115 - 90 = 25

Divide this by the original amount:

25/115

= 0.217

So, the percent decrease is 21.7%. Round this to the nearest whole percentage:

= 22

The percent reduction in fuel used was approx. 22%

Answer:

a)139°

Step-by-step explanation:

two co interior angles make one opposite exterior angle

49+90=139°

Answer: Choice B

Open circle at 3. Shading to the right

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

Work Shown:

3(8 - 4x) < 6(x - 5)

24 - 12x < 6x - 30

24 + 30 < 6x + 12x

54 < 18x

18x > 54

x > 54/18

x > 3

We use an open circle at 3 to indicate we don't include this endpoint as part of the solution. The solution set is everything larger than 3, so we shade to the right of this open circle.

Answer: x = 6

Step-by-step explanation:

Sume 17 a ambos lados

5(3x-4)-17 + 17=5(x+8)-17 +17

Simplifica

5(3x-4)=5(x+8)

Expandir 5(3x -4) : 15x - 20

Expandir 5(x+8) : 5x +40

15x - 20 = 5x +40

Sume 20 a ambos lados

15x - 20 + 20 = 5x +40 +20

Simplifica

15x = 5x +60

Restar 5 de ambos lados

15x - 5x = 5x + 60 - 5x

Simplifica

10x = 60

Divide ambos lados entre 10

10x/10 = 60/10

Simplifica

x = 6

Answer:

C. 1.5

Step-by-step explanation:

Step-by-step explanation:

Answer:

Answer:

2*6*11

Step-by-step explanation:

I am not sure what your question is because I think you are asking the factor of these numbers. so u do 2+16+48 which is 66 and if you prime factorize it then you get 2*6*11. so the answer is 2*6*11.

Answer:

2.75, or 2 3/4

Step-by-step explanation:

Cross multiply first to get:

4y = 11

Divide by 4 on both sides

y = 2.75

Now, simplify to a mixed number or keep it as a decimal to get 2.75, or 2 3/4.

Hope this helps!

If there is something wrong, just let me know.

Answer:

2.75

Step-by-step explanation:

1/y = 4/11 cross multiply the expressions

4y = 11 divide both sides by 4

y = 2.75

Answer:

Step-by-step explaWe are losing Earth's greatest biological treasures just as we are beginning to appreciate their true value. Rainforests once covered 14% of the earth's land surface; now they cover a mere 6% and experts estimate that the last remaining rainforests could be consumed in less than 40 years.

One and one-half acres of rainforest are lost every second with tragic consequences for both developing and industrial countries.

Rainforests are being destroyed because the value of rainforest land is perceived as only the value of its timber by short-sighted governments, multi-national logging companies, and land owners.

Nearly half of the world's species of plants, animals and microorganisms will be destroyed or severely threatened over the next quarter century due to rainforest deforestatioue to rainforest deforestation. That equates to. As the rainforest species of tesrees anddisappear, so do many possible  that 1% plants have been tested by sciMost rainforests are cleared by chainsaws, bulldozers and fires for its timber value and then are followed by farming and ranching operations, onian Rainforest five centuries ago. Today there are less than 200,000.

In Brazil alone, European colonists have destroyed more than 90 indigenous tribes since the 1900's. With them have gone centuries of  

nation:

Answer:

General Equation of a Line

[tex]General Equation \\(y - y_{1} )= m (x-x_{1}) \\Slope=m= \frac{x_{2}-x_{1} }{y_{2}-y_{1} } \\\\Given:\\p_{1}=(7,-4)\\p_{2}=(-1,2)\\Solution:\\m=(\frac{-1-7}{2-(-4)}) =\frac{-8}{6}\\y-(-4) = (\frac{-8}{6} )(x-7)\\y+4=\frac{-8x}{6} + 56\\y=\frac{-8x}{6} + 52 \\\\The\\ equation \\ is \\ y=\frac{-8x}{6} + 52[/tex]

Step-by-step explanation:

Find the slope first and then place the values on the general formula. The final step is to solve for y

please check the attachment for solutions

Answer:

36² metres

Step-by-step explanation:

I'm assuming you mean 6 metre wide/long floor. Area is L*W so 6*6

Answer:

A

Step-by-step explanation:

There are two triangles here: ABC and ADF. These triangles are similar, and thus proportional. So, we can set up a proportion between the left side of each triangle and the base of each triangle.

AB / AD = BC / DE

4 / (4 + BD) = 5 / 9

---AD is made up of AB and DB. We know AB, but not BD, so we need to find its value to find the length of AD.

5(4 + BD) = 9 x 4

20 + 5BD = 36

5BD = 16

BD = 3.2

AD = AB + BD

AD = 4 + 3.2

AD = 7.2

Hope this helps!

The height of the cylinder is 6 units.

A cylinder has traditionally been a three-dimensional solid, one of the most basic of curvilinear geometric shapes. In elementary geometry, it is considered a prism with a circle as its base.

Given that, the height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 24π cubic units.

Volume = π × radius² × height

Let the height of 3x then the radius will be x,

24π = π × x² × 3x

24 = 3x³

x = ∛8

x = 2

Therefore, height = 6

Hence, the height of the cylinder is 6 units.

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Answer: Its B i just took the test

Step-by-step explanation:

Step-by-step explanation:

here's the answer to your question

Answer:

X    -2     - 1     0    1     2

Y     9       7     5    3     1

Step-by-step explanation:

Given equation:

y = -2x + 5

Find:

Complete table

Computation:

Missing table;

X    -2     - 1     0    1     2

Y

y = -2x + 5

When x = -2

y = -2x + 5

y = -2(-2) + 5

y = 9

When x = -2

y = -2x + 5

y = -2(-1) + 5

y = 7

When x = -2

y = -2x + 5

y = -2(0) + 5

y = 5

When x = -2

y = -2x + 5

y = -2(1) + 5

y = 3

When x = -2

y = -2x + 5

y = -2(2) + 5

y = 1

X    -2     - 1     0    1     2

Y     9       7     5    3     1

Answer

1 + 5 ÷ 5

This would equal 2, using BIDMAS.

Answer:

The length of the third side is 9.

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

12² + b² = 15²

144 + b² = 225

√b² = √81

b = 9

Answer:

addition property of equality

Step-by-step explanation:

k - 4.5 = 9.8

Add 4.5 to each side using the addition property of equality

k-4.5 +4.5 = 9.8+4.5

k = 14.3

Answer:

Addition Property of Equality

Step-by-step explanation:

k - 4.5 = 9.8

~Add 4.5 to both sides

k = 14.3

Best of Luck!

Answer:

11

Step-by-step explanation:

If the set of numbers are not in least to greatest first set them up into their positions. But since this set is already in least to greatest we can go to the next step.

6, 7, 10, 12, 12, 13

Cross off all numbers until you get to the middle:

6, 7, 10, 12, 12, 13

Find the mean of the numbers in the middle:

10 + 12 = 22

22 / 2 = 11

The answer is 11

Hope this helped.

Answer:

11

Step-by-step explanation:

10+12=22

22÷2=11

median is equal to the middle number after being arranged in ascending order.