A coat at a store is originally priced at $54.99. The store marks the price down to $32.99. To the nearest percent, what is the percent markdown of the coat?

Answer:

The quadratic equation is;

y = 3x^2-7x + 5

when x = 4, y = 25

Step-by-step explanation:

Mathematically, the general form of a quadratic equation is;

y = ax^2 + bx + c

From the first point, we have that x = 0

Thus;

5 = a(0)^2 + b(0) +c

c = 5

Now, in a case when x is 2

3 = a(2)^2 + b(2) + 5

3 = 4a + 2b + 5

4a + 2b = -2 ••••••(i)

when x = 6

71 = a(6)^2 + b(6) + 5

66 = 36a + 6b ••••••(ii)

From equation i,

2b = -2-4a ••••(iii)

we can rewrite equation ii as

66 = 36a + 3(2b)

Substitute iii into ii

66 = 36a + 3(-2-4a)

66 = 36a - 6 - 12a

66 + 6 = 36a -12a

24a = 72

a = 72/24

a = 3

Recall;

2b = -2-4a

2b = -2-4(3)

2b = -2-12

2b = -14

b = -14/2

b = -7

So the quadratic equation would be;

y = 3x^2 -7x + 5

Now let us test;

when x = 10, y = 235

That would be:

y = 3(10)^2 -7(10) + 5

y = 300 - 70 + 5

y = 235

This shows that the derived quadratic equation is correct

Now, when x = 4; we have it that;

y = 3(4)^2 -7(4) + 5

y = 48 -28 + 5

y = 20 + 5 = 25

Answer:

7x + 27 = -17

Step-by-step explanation:

2x + 5x = 7x

3y + (-y) = 2y

-5 + (-12) = -17

Combine them to make the added equation.

7x + 2y = -17.

Answer:

25

Step-by-step explanation:

To be honest i´m not quite sure since I got 22 but 25 is the closest to my answer

Answer:

x+8 +=98

Step-by-step explanation:

x + to 90  so 98

Answer:

3 3/8 pounds.

Step-by-step explanation:

That is the one with three x's.

Total weight = 3 * 1 1/8

= 3 3/8.

Answer:

I really don't know this one but I have a feeling it os option c

Answer:

-5x-(-10y)

Step-by-step explanation:

-5x-(-10y)

-5x+10y

Answer:

-5x – (-10y)

Step-by-step explanation:

-5x – (-10y) is the same as -5x+ 10y. The two negatives will cancel out and become a positive.

Answer:

y = 2

Step-by-step explanation:

-2y + 1 = y-5

-2 - y = -5 - 1

-3y = -6

y = -6 ÷ -3

y = 2

Answer:

no

Step-by-step explanation:

45/36=1.25

1.25x18=22.5

not 25

no common factor

so not similar

Answer:

B. 6, 8, 14 city blocks

Step-by-step explanation:

Out of the 4 options, the distances 6 8 14 would not be an option.

Triangle inequality states that the sum of any two sides in a triangle is always greater than the third side.

A)5+6>9

6+9>5

5+9>6

So the triangle is possible.

B) 6+8=14 while the condition is that the sum of any two sides in a triangle is always greater than the third side i.e 6+8 must be greater than 14.

So, the triangle is not possible.

Similarly, C and D are possible triangles.

Hence, out of the 4 options, the distances 6 8 14 would not be an option.

To get more about triangles visit:

https://brainly.com/question/2644832

Answer:391837738:646929:7473

Step-by-step explanation:

I’m doing it too but the answers 3&&

405 gallons of water in the tank in 45 minutes.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

Given that A water tank is filled with a hose.

The table shows the number of gallons of water in the tank compared to the number of minutes the tank was

being filled.

The line of best for this data is g = 9m - 0.17.

We need to find when it is 45 minutes.

We have to put m value as 45 to find the number of gallons

g=9(45)-0.17

g=405-0.17

g=404.83

Hence, 405 gallons of water in the tank in 45 minutes.

To learn more on slope intercept form click:

https://brainly.com/question/9682526

#SPJ2

Answer:

the answer is 6

Step-by-step explanation:

i took the test, trust me

Answer:

For 5 days, Debbie will lose 5 dollars from her savings.

Step-by-step explanation:

Answer:

45°

Step-by-step explanation:

sinθ = 24/34

take the inverse sine of 24/34:

[tex]sin^{-1}(24/34)[/tex] = 44.9° ≈ 45°

Answer:

area= l X w

are=20

4 x 5= 20

volume=l x w x h

20 x 5

20 x 5= 100

volume=100

Step-by-step explanation:

Answer:

100, multiply the area and the height to get the volume. 20 x 5 = 100.

Answer:

25

Step-by-step explanation:

Answer:

27.7

Step-by-step explanation:

Answer:

hello my followers and my

Answer:

y = -1

Step-by-step explanation:

1) first, you would have to substitute x, the input, with 30, y = 14-0.5(30)

2) then, you would multiply 0.5 and 30 together which gets y=14-15

3) lastly, 14-15 equals -1 so y = -1

Answer:

Answer is -1

Step-by-step explanation:

First we know that x = 30, and in 0.5x we can plug in 30 because x = 30. So the equation is 14 - 0.5(30), now multiply 0.5 * 30 which will give you 15. Now the new equation is y = 14 - 15, 14 - 15 will give you -1. And that is y, Y = -1

Answer:

Step-by-step explanation:

Answer:

10x^2+14x-48

Step-by-step explanation:

5x*2x=10x^2

5x*6=30x

-8*2x=-16x

-8*6=48

combine them and you'll get 10x^2+14x-48

Answer:

24x-48

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

5x*2x=10x

5x*6=30x

-8*2x=-16x

-8*6=-48

40x-16x=24x

24x-48

Answer:

2340

Step-by-step explanation:

15 x 13 ÷ 2 x 24 = 2340

Answer: 2 pizzas

Step-by-step explanation: 4 times 4 times 2 is 32. 1/32 divided into 60 to get 2 pizzas

Answer:

Step-by-step explanation:

The amount of water that was in the cooler initially is dependent on the amount of water in the cooler now(that is, what is remaining). And also, the rate of which water was being used. If the rate at which water was being used was 10 liter/hour, this means that an 11 liter cooler would remain 1 liter after an hour. Because 10 liters must have been used within the said hour.

Answer:

10 liters

Step-by-step explanation:

2.5 + 3 = 5.5 total speed

7miles / 5.5 mph = 1.27 hours

Answer:

1.27 hours

Step-by-step explanation:

The first step in this process would be adding both rates of Leila and Han together. We know Leila walks at 2.5 miles per hour and Han at 3 miles per hour.

[tex]2.5 + 3 = 5.5[/tex]

We got our sum as 5.5, so now we must complete Step 2, which is the final step. We must divide 7 by 5.5.

[tex]7 / 5.5 = 1.2727...[/tex]

1.2727 ≈ 1.27

the answer to the Question is 1.27 hours.

Answer:

Step-by-step explanation:

I say seven...