A CD cost a music store $5.75 to make. If the markup is 125%, what is going to be the cost of the CD in the store?

Answer:

f(x) = (x + 1)*(4*x² - 3*x + 4) - 12

Step-by-step explanation:

We have:

f(x) = 4*x³ + x² + x - 8

We want to write this in:

f(x) = (x - k)*q(x) + r.

with k = -1

Then we want to write:

4*x³ + x² + x - 8 = (x - (-1))*q(x) + r

4*x³ + x² + x - 8 = (x + 1)*q(x) + r

Because f(x) is polynomial of degree 3, we know that q(x) must be a polynomial of degree 2.

then:

q(x) = a*x² + b*x + c

Then:

4*x³ + x² + x - 8 = (x + 1)*(a*x² + b*x + c) + r

4*x³ + x² + x - 8 = a*x³ + b*x² + c*x   + a*x² + b*x + c + r

if we take common factors in the right side we get:

4*x³ + x² + x - 8 = a*x³ + (b + a)*x² + (c + b)*x + (c + r)

Now, we must have:

4*x³ = a*x³

then:

4 = a

We also must have:

x² = (b + a)*x²

1 = (b + 4)

1 - 4 = b

-3 = b

We also must have:

x = (c + b)*x

1 = (c + (-3))

1 + 3 = c

4 = c

And finally:

- 8 =  (c + r)

-8 = 4 + r

-8 - 4 = r

-12 = r

Then:

f(x) = (x + 1)*(4*x² - 3*x + 4) - 12

Answer:

p > 220

Explanation:

This inequality says, "p (the weight of the pig) is less than 220." This describes the situation shown. So, the answer is p > 220.

Good luck ^^

fill the table

2x -y 2

6x 12^2 -6xy 12x

-y -2xy y^2 -2y

Answer:

(a) Expanded form:

[tex]((X_1 + X_1Y_1) - X_1Z_1) + ((X_2 + X_2Y_2) - X_2Z_2) + ((X_3 + X_3Y_3) - X_3Z_3) + ((X_4 + X_4Y_4) - X_4Z_4)[/tex]

(b) The value of the expression: -21

Step-by-step explanation:

Given

[tex]\sum \limit^4_{i=1}\ ((X_i+X_iY_i) - X_iZ_i)[/tex]

Solving (a): The expanded form:

This means that we substitute the values of i from 1 to 4 in the above expression.

So, the expression becomes:

[tex]((X_1 + X_1Y_1) - X_1Z_1) + ((X_2 + X_2Y_2) - X_2Z_2) + ((X_3 + X_3Y_3) - X_3Z_3) + ((X_4 + X_4Y_4) - X_4Z_4)[/tex]

Solving (b): The value of the expression

To do this, we simply substitute the given values of X1, X2....... in the expression.

This gives:

So, the expression becomes:

[tex]((0 + 0*5) - 0*0) + ((1 + 1*26) - 1*-2) + ((12 + 12*-2) - 12*3) + ((-1 + -1*25) - -1*24)[/tex]

Simplify each bracket

[tex]((0 + 0) - 0) + ((1 + 26) +2) + ((12 -24) - 36) + ((-1 -25) +24)[/tex]

[tex]0 + 29 -48 -2[/tex]

[tex]-21[/tex]

Hence, the result of the expression is -21

Answer:

x = -6

Step-by-step explanation:

We have the equation 3x - 4 = 2x - 10 and are asked to find "x".

To solve , we need to get "x" alone entirely.

3x - 4 = 2x - 10

Subtract 2x from both sides :

x - 4 = -10

Add 4 to both sides to get our answer :

x = -6

Answer:

the answer is equal to-6

Answer:

3

Step-by-step explanation:

3/4 divided by 1/4 equals 3

Answer:

3

Step-by-step explanation:

3/4 is currently left

Subtract 1/4 by 3/4 until nothing is left

The number you get is 3 therefore the answer is 3

Answer:

Melanie is correct

Step-by-step explanation:

35% of 85 is 29.75 so take that away from the original price and you get 55.25

This means the price will be 55.25$

Answer:

Melanie is correct since 65% of $85.00 is $55.25.

Step-by-step explanation:

The original price of the shoes is $85.00. That is 100% of the price of the shoes since 100% is a whole amount.

The discount on the shoes is 35%.

100% - 35% = 65%

That means the sale price is 65% of the original price. Now we calculate 65% of $85.00.

65% of $85.00 =

= 0.65 * $85.00

= $55.25

Answer: Melanie is correct since 65% of $85.00 is 55.25.

Answer:

B

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

Answer:

19 oz

Step-by-step explanation:

Lauren bought 20 ounces of sliced ham, out of which she used three-fourth of the ham to make sandwiches for her friends and one fifth of the ham in an omelette. We are to find the ounces of ham that were left. So, total ounces of ham that were used = 15 + 4 = 19 ounces.

Hope this helped!

Step-by-step explanation:

Given :-

The length of the garden 8m greater than 2 times the width.

Area of the garden is 280 m²

Let us consider the length as x and width as y.

Sp, we can day length as :-

x = 8 + 2y ---(1)

Now, we know that:-

Area of Rectangle = Length × Breadth

280 = x * y

We can replace the value of x now,

280 = y × ( 8 + 2y)

280 = 8y + 2y²

2y² + 8y - 280 = 0

y² + 4y - 140 = 0

Factorise it.

(y -10)(y + 14)

Cancelling -ve value, we get the width as 10 metres.

Hope it helps :)

Answer:

Step-by-step explanation:

Width = w

Length = 2w + 8

Area of rectangular garden = 280 square meter

length * width = 280

(2w + 8 ) *w = 280

2w * w + 8*w = 280

2w² + 8w = 280

2w² + 8w - 280 = 0

Divide the whole equation by 2

w² + 4w - 140 = 0      

w² + 14w - 10w - 14 *10 = 0

w(w + 14) - 10(w + 14) = 0

(w + 14)(w - 10)= 0

w - 10 = 0       {Ignore w + 14, as measurements will not be -ve}

w = 10 m

l = 2*10 +8

= 20 +8

l  = 28 m

Answer:

Well yes, because it should have cost $3.2 PER gallon

Step-by-step explanation:

Divide 40 by 12.5 to find out how much of a per gallon costs! Hope it helps.

Answer:

11494.04 units

Step-by-step explanation:

V = 4/3 [tex]\pi[/tex] r³ = 4/3 · [tex]\pi[/tex] · 14³ ≈ 11494.04032

Answer:

Following are the solution to these question:

Step-by-step explanation:

Following are the binomial distribution with parameters:

[tex]n = 12\\\\p = 0.24[/tex]

For point a:

[tex]\to P(X = 3) = binom.dist(3, 12, 0.24, False) = 0.2573[/tex]

For point b:

[tex]\to P(X > 4) = 1 - P(X < 3) = 1 - binom.dist(3, 12, 0.24, True) = 0.3205[/tex]

For point c:

[tex]\to P(<8) = binom.dist(7, 12, 0.24, True) = 0.9979[/tex]

Answer:

k = -8

Step-by-step explanation:

24 = 5k - 8k

24 = -3k

k = 24/(-3)

k = -8

Answer:

k = -8

Step-by-step explanation:

Solve for k

First we re arrange our equation so that it look simple to calculate.

24=5k-8k

5k-8k = 24

-3k = 24

Divide -3 both side to get the value of k

 k = -8

To prove substitute k into formula:

5k-8k = 24

5 (-8) - 8 (-8) = 24

-40 + 64 = 24

24 = 24

Answer:

$2.90 for each book produced. If the book is sold to distributors for $10 each, how many must be sold to break even?

Step-by-step explanation:

. citizen of the represented state

Answer:

The spread of the data for The Red Brick Grill is greater than that for Sophie's Cafe.

Step-by-step explanation:

In the picture

Answer:

[tex] m\widehat {MP} =46\degree [/tex]

Step-by-step explanation:

By inscribed angle theorem:

[tex] m\angle MQP=\frac{1}{2} \times \widehat {MP} [/tex]

[tex] 23\degree =\frac{1}{2} \times m\widehat {MP} [/tex]

[tex] 23\degree \times 2= m\widehat {MP} [/tex]

[tex] m\widehat {MP} =46\degree [/tex]

Answer:

isosceles triangle

Step-by-step explanation:

2 sides the same

Answer:

3,990

Step-by-step explanation:

Answer:

The total weight of the purchased cherries is [tex]11\frac{1}{4}[/tex] pounds.

Step-by-step explanation:

Multiply [tex]2\frac{1}{4}[/tex] by 5.

[tex]2\frac{1}{4} * 5 = 11 \frac{1}{4}[/tex]

Answer:

11.25 or 45/4

Step-by-step explanation:

2 1/4 times 5

Answer:

4

Step-by-step explanation:

[tex] Lim_{x \to 0}\frac{2 x\sin x}{1-\cos x} [/tex]

[tex] =Lim_{x \to 0}\frac{2 x\sin x}{1-\cos x}\times \frac{1+\cos x}{1+\cos x} [/tex]

[tex] =Lim_{x \to 0}\frac{2 x\sin x(1+\cos x) }{1^2 -\cos^2 x} [/tex]

[tex] =Lim_{x \to 0}\frac{2 x\sin x(1+\cos x) }{1 -\cos^2 x} [/tex]

[tex] =Lim_{x \to 0}\frac{2 x\sin x(1+\cos x) }{sin^2 x} [/tex]

[tex] =Lim_{x \to 0}\frac{2x(1+\cos x) }{sin x} [/tex]

[tex] =Lim_{x \to 0} 2(1+\cos x) \times \frac{1}{Lim_{x \to 0}\frac{sin x}{x}} [/tex]

[tex] =2(1+\cos 0) \times 1 [/tex]

[tex] = 2(1+1) [/tex]

[tex] = 2(2) [/tex]

[tex] \therefore Lim_{x \to 0}\frac{2 x\sin x}{1-\cos x}= 4 [/tex]

• Equal sides of an isosceles triangle = 2cm shorter than the length of the third side.

• Length of the third side.

Let the third side be c.

Also, two equal sides be a and b.

According to the question,

[tex] \longmapsto [/tex] a = ( Third side - 2 ) cm

[tex] \longmapsto [/tex] a = ( c - 2 ) cm

Similarly, length of b(second side) will also be same as a and b are two equal sides of an isosceles triangle.

[tex] \longmapsto [/tex] b = ( c - 2 ) cm

Now, we know that :

★ Perimeter of ∆ = Sum of all sides

[tex] \longmapsto [/tex] 35 = a + b + c

[tex] \longmapsto [/tex] 35 = (c - 2) + (c - 2) + c

[tex] \longmapsto [/tex] 35 = c - 2 + c - 2 + c

[tex] \longmapsto [/tex] 35 = c + c + c - 2 - 2

[tex] \longmapsto [/tex] 35 = 3c - 4

[tex] \longmapsto [/tex] 35 + 4 = 3c

[tex] \longmapsto [/tex] 39 = 3c

[tex] \longmapsto [/tex] [tex] \sf \dfrac{39}{3} [/tex] = c

[tex] \longmapsto [/tex] 13 = c

So, third side of the triangle is 13 cm.

Exact answer: 165.5754

Rounded to the nearest dollar: 166

Answer:

It's a parallelogram because it has two parallel side (a,d)+(b,c) or (a,b)+(d,c). The shape is connected by the line "a,d"

Step-by-step explanation: