one ounce of gold can be purchased for $1,195.80.one ounce of silver can be purshased for $16.08.what is the difference between the cost of 5 ounces of gold and 5 ounces of silver?

Answer:

1. 4[tex]x^{3}[/tex] + 26x² + 4x - 48

2. 2[tex]x^{3}[/tex] - 23x² + 60x - 32

3. [tex]x^{5}[/tex] + 7[tex]x^{3}[/tex] - 4x + 2[tex]x^{4}[/tex] + 14x² - 8

4. 2[tex]x^{7}[/tex] + [tex]x^{6}[/tex] - 28[tex]x^{5}[/tex] + 3x + 12

Step-by-step explanation:

To multiply polynomials, simply distribute whatever's outside the largest set of parenthesis, then combine like terms.

1) Distribute the parenthesis (x + 6):

x(4x² + 2x - 8)  +  6(4x² + 2x - 8)

4[tex]x^{3}[/tex] + 2x² -8x  +  6(4x² + 2x -8)

4[tex]x^{3}[/tex] + 2x² -8x + 24x² + 12x - 48

Combine like terms:

4[tex]x^{3}[/tex] + 26x² + 4x - 48

2) Distribute the parenthesis (x - 8):

x(2x² - 7x + 4)  +  (-8)(2x² - 7x + 4)

2[tex]x^{3}[/tex] - 7x² + 4x  +  (-8)(2x² - 7x + 4)

2[tex]x^{3}[/tex] - 7x² + 4x  +  -16x² + 56x - 32

Combine like terms:

2[tex]x^{3}[/tex] - 23x² + 60x - 32

3) Distribute the parenthesis (x + 2):

x([tex]x^{4}[/tex] + 7x² - 4)  +  2([tex]x^{4}[/tex] + 7x² - 4)

[tex]x^{5}[/tex] + 7[tex]x^{3}[/tex] - 4x  +  2([tex]x^{4}[/tex] + 7x² - 4)

[tex]x^{5}[/tex] + 7[tex]x^{3}[/tex] - 4x + 2[tex]x^{4}[/tex] + 14x² - 8

No like terms to combine, so:

[tex]x^{5}[/tex] + 7[tex]x^{3}[/tex] - 4x + 2[tex]x^{4}[/tex] + 14x² - 8

4) Distribute the parenthesis (x + 4):

x(2[tex]x^{6}[/tex] - 7[tex]x^{5}[/tex] + 3)  +  4(2[tex]x^{6}[/tex] - 7[tex]x^{5}[/tex] + 3)

2[tex]x^{7}[/tex] - 7[tex]x^{6}[/tex] + 3x  +  4(2[tex]x^{6}[/tex] - 7[tex]x^{5}[/tex] + 3)

2[tex]x^{7}[/tex] - 7[tex]x^{6}[/tex] + 3x + 8  [tex]x^{6}[/tex] - 28[tex]x^{5}[/tex] + 12

Combine like terms:

2[tex]x^{7}[/tex] + [tex]x^{6}[/tex] - 28[tex]x^{5}[/tex] + 3x + 12

hope this helps!

Answer:

G(x) = (x-4)⁴

Step-by-step explanation:

The equation of the graph of f(x) which is formed by shifting 4 units to the right of g(x) is f(x) = (x - 4)⁴

Translation of functions is defined as the when each point in the original graph is moved by a fixed units in the same direction.

There are horizontal translation and vertical translation of functions.

Given a function G(x).

G(x) = x⁴

A function F(x) is formed by shifting the graph of G(x) to the right by 4 units.

A function h(x) when shifted to the right by k units becomes h(x - c).

So the graph of G(x) when shifted to the right by 4 units becomes G(x - 4).

G(x - 4) = (x - 4)⁴

So, F(x) = (x - 4)⁴

Hence the function is F(x) = (x - 4)⁴.

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Answer:

68 units sq

Step-by-step explanation:

You have to find the total area of all the shapes and subtract the unshaded.

(9 + 17) * 8 / 2, formula

26 * 4 = 104

Then find the unshaded part

9 * 8 / 2

9 * 4

= 36

104 - 36 = 68

Answer:

68

Step-by-step explanation:

The formula of a trapezoid is [tex]A = \frac{a+b}{2} h[/tex]
Use the values given in the equation:
[tex]A = \frac{17+9}{2} *8[/tex]
A = 13*8

A=104 (This the area of the overal trapezoid)

To find the area of the inner unshaded triangle, simply multiply 9 (Base) times height (8) * 1/2 to get 36

Then subtract 36 from 104 and you get 68

Answer:

Step-by-step explanation:

First confirm that x = 1 is one of the zeros.

f(1) = 2(1)^3 - 14(1)^2 + 38(1) - 26

f(1) = 2 - 14 + 38 - 26

f(1) = -12 + 38 = + 26

f(1) = 26 - 26

f(1) = 0

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

next perform a long division

x -1  || 2x^3 - 14x^2 + 38x - 26 || 2x^2 - 12x + 26

         2x^3 - 2x^2

         ===========

                   -12x^2 + 28x

                    -12x^2 +12x

                    ==========

                                 26x -26

                                 26x - 26

                                ========

                                     0

Now you can factor 2x^2 - 12x + 26

                                2(x^2 - 6x + 13)

The discriminate of the quadratic is negative. (36 - 4*1*13) = - 16

So you are going to get a complex result.

x = -(-6) +/- sqrt(-16)

    =============

                2

x  = 3 +/- 2i

f(x) = 2*(x - 1)*(x - 3 + 2i)*(x - 3 - 2i)

The zeros are

1

3 +/- 2i

Apply the long division to find that there is only 1 real root

Answer:

?

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

[tex]\left[\begin{array}{ccc}a&b\\c&d\end{array}\right] = ad-bc[/tex]

0(4)-4(0) = 0

Answer:

25 fl oz

Step-by-step explanation:

1 pint is equivalent to 16 fl oz, so we're left with 25 fl oz and 16 fl oz. As you can see, 25 is greater than 16, making 25 fl oz the correct answer.

It costs $122.4 dollars before the increase.

Therefore, It costs $122.4 dollars before the increase.

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Answer:

2x+b

Step-by-step explanation:

f(x)=x

2

+bx−21

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax

n

is nax

n−1

.

2x

2−1

+bx

1−1

Subtract 1 from 2.

2x

1

+bx

1−1

Subtract 1 from 1.

2x

1

+bx

0

For any term t, t

1

=t.

2x+bx

0

For any term t except 0, t

0

=1.

2x+b×1

For any term t, t×1=t and 1t=t.

2x+b

Answer:

divide what is on the right hand side of the equal sign by what is next to x or y

Step-by-step explanation:

e.g.

2x=3

x=3/2

fraction:3/2

decimal: 1.5

Answer:

divide what is on the right hand side of the equal sign by what is next to x or y

Step-by-step explanation:

Answer:

x = 52, c = 87

Step-by-step explanation:

Set up and then solve this system of equations:

3c + 5x = 521--->3c + 5x = 521

c + x = 139 --->3c + 3x = 417

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

2x = 104

x = 52, c = 87

Answer: the answer is 139-c

Answer: y = one-half x minus 4

Step-by-step explanation:

y = 1/2 x + b

-3 = 1/2 (2) + b

-3 = 1 + b

-3 - 1 = b

-4 = b

Answer:

144

Step-by-step explanation:

im right:D have  a good day or night

Answer:

sorry I tried But Don't Know The Answer

Answer:

A=0.50

B=0.477

C=0.423<p<0.531

Step-by-step explanation:

sample size N :333

number of success X: 159

sample part of success x/n = 159/333

x=0.477 B

0.50 A Half a chance to flip a tail or head

part C:

[tex]0.477 plusminus 1.96 * \sqrt{ \frac{0.477 (1 - 0.477)}{333} } [/tex]

simplify

[tex]0.477 plusminus 1.96 * 0.0536[/tex]

expand

[tex]0.477 + 1.96 * 0.0536[/tex]

[tex]0.531[/tex]

expand minus

[tex]0.477 - 1.96 * 0.0536[/tex]

[tex]0.423[/tex]

finally answer part c

[tex]0.423 < p < 0.531[/tex]

Answer:

-cos^4(x)

Step-by-step explanation:

Step 1: Use the Pythagorean identity : 1=cos^2(x) + sin^2(x)

1-sin^2(x) = cos^2(x)

-1+sin^2(x) = -cos^2(x)

cos^2(x) (-cos^2(x))

Step 2: Factor out common terms cos^2(x)

cos^2(x) (sin^2(x)-1)

Ans: -cos^4(x)

We can find the distance between two points by using distance formula,

[tex] \qquad \: D = \sf \red{\sqrt{ {(x_2 -x_1)}^{2} + {(y_2 -y_1)}^{2} }}[/tex]

Here,

x₁ = -3

x₂ = 5

y₁ = -2

y₂ = 2

Therefore,

[tex] : \implies \: D = \sf \red{\sqrt{ {(x_2 -x_1)}^{2} + {(y_2 -y_1)}^{2} }} \\ \\ : \implies \: D = \sf \sqrt{ {(5-( - 3))}^{2} + {(2 -( - 2))}^{2} }

\\ \\ : \implies \: D = \sf \sqrt{ {8}^{2} + {4}^{2} } \\ \\ : \implies \: D = \sqrt{64 + 16}

\\ \\ : \implies \: D = \sqrt{80} [/tex]

Hence the √80 = 8.94 approx is the distance between the two points (-3,-2) and (5,2).

The distance between 2 points

Here we have been provided 2 points

(-3, -2) and (5, 2)

[tex] (x_1,y_1) = (-3,-2) \\ (x_2,y_2) = (5,2) [/tex]

Formula to find distance is

[tex] = \sqrt{ {(x_2 - x_1)}^{2} + {(y_2 - y_1)}^{2} } [/tex]

[tex] = \sqrt{ {(5 - ( - 3))}^{2} + {(2 - ( - 2))}^{2} } \\ = \sqrt{ {(8)}^{2} + {(4)}^{2} } \\ = \sqrt{64 + 16} \\ = \sqrt{80} \\ = 4 \sqrt{5} [/tex]

The distance between 2 points is 4√5.

[tex] \mathcal {BE \: \: BRAINLY} [/tex]

Answer:

< –13, 4, 4 >

Step-by-step explanation:

Vector u = < –5, 6, 3 >

Vector t = < –8, –2, 1 >

  -5   6   3

+ -8  -2   1

 -13   4   4

Vector u + t = < –13, 4, 4 >

Answer:

B. <14,-3>

Step-by-step explanation:

Answer:

Not a proper question. But I think it's a 5

[tex] \huge \pink{ \underline{ \overline{ \: 5 \: i \: think}}}[/tex]

Answer:

Yes

Step-by-step explanation:

5,000 cm = 50m

[tex]\frac{1m}{100cm} =5000cm[/tex]

[tex]\frac{1m(5000)}{100}[/tex]

[tex]\frac{5000m}{100}[/tex]

= 50 m

hope this helps :)

Answer: Fred needs 4/3 a cup of sugar, which can be simplified into 1 1/3.

Step-by-step explanation:

If you do 2/3 times 2/1 (because double means twice the amount) you will get 4/3, which again, can be simplified into 1 1/3.

Your answer would be 'How thick is the thickest book in your book collection?'

Answer:

how this is the thickest book

Step-by-step explanation:

i took the quiz and got it correct your welcome

Answer:

(5,000+(132 months × 25))×0.079 = 655.7

so at the end of 11 years you have:

$8,300 + interest= 8955.7

Answer:

1

Step-by-step explanation:

[tex]my \: dear \: \\ to \: find \: the \: slope \: of \: a \: line \: use \: the \: formular \\ slope = \frac{y2 - y1}{x2 - x1} \\ from \: the \: question \: x1 = 5 \: \: y1 = 1\: \: x2 = - 5 \: \: y2 =- 9 \\ slope = \frac{ - 9 - 1}{ - 5 - 5} = \frac{ - 10}{ - 10} = 1 \\ therefore \: slope = 1 \\ hope \: this \: helps \\ stay \: focused \: with \: your \: studies[/tex]

Answer:

a) - y = 30°,x = 70°

b)- y = 105°,x = 75°

c)- x = 25°

d)- x = 116°

Step-by-step explanation:

a) =

80 + 70 + y = 180 (co-interior angles)

or, y = 180 - 150

so, y = 30°

Now,

x = 70° (alternate angles)

b) =

y + 75 = 180° (co-interior)

(y = angle which is supplement to 75)

y = 180° - 75°

so, y = 105°

Now,

x + y = 180° (co-interior angles)

or, x = 180° - 105°

so, x = 75°

c)=

180° - 5x = 55° (corresponding angles)

or, 5x = 180° - 55°

or, 5x = 125°

or, x = 125°/5

so, x = 25°

d)=

64° + x = 180° (co-interior angles)

x = 180° - 64°

so, x = 116°

Answer:

See below ~

Step-by-step explanation:

a)

b)

c)

d)