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The equivalent expression is 5 - 3x/2. Option D

Algebraic expressions are described as expressions that are made up of variables, their coefficients, factors and constants.

these algebraic expressions are also composed of mathematical operations. These operations includes;

From the information given, we have that;

1/ 4(8 - 6x + 12)

expand the bracket, we have;

Add the like terms

1/4(20 - 6x)

now, multiply the values, we have;

20 - 6x/4

Divide by the denominator

5 - 3x/2

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The complete question:

Simply the expression:

1/ 4(8 - 6x + 12)

Answer:

The selling price of the diamond necklace at Shamin Jewelers after 10% discount is:

$442 * 0.9 = $397.80

The selling price of the same necklace at the competitor's store after 34% and 14% discount is:

$527 * 0.66 * 0.86 = $247.08

So, Shamin Jewelers needs to offer an additional discount to meet the competitor's price:

$397.80 - $247.08 = $150.72

To calculate the additional rate of discount, we divide the difference by the original selling price at Shamin Jewelers and multiply by 100:

($150.72 / $442) * 100 = 34.11%

Therefore, Shamin Jewelers must offer an additional 34.11% discount to meet the competitor's price.

Step-by-step explanation:

The value of the equation f ( x ) is

f ( x ) = x³ + x² - 8x - 12

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

f ( x ) = ( x + 2 )²( x -3 )   be equation (1)

Now , on simplifying the equation , we get

f ( x ) = ( x + 2 )²( x -3 )

f ( x ) = ( x² + 4x + 4 ) ( x - 3 )

Now , multiplying each term with ( x - 3 ) , we get

f ( x ) = ( x - 3 ) x² + ( x - 3 ) 4x + ( x - 3 ) 4

f ( x ) = x³ - 3x² + 4x² - 12x + 4x - 12

On simplifying the equation ,we get

f ( x ) = x³ + x² - 8x - 12

Now , the value of the equation f ( x ) = x³ + x² - 8x - 12

On graphing the equation , we get

The graph of the equation f ( x ) = x³ + x² - 8x - 12 is shown below

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Given:

The expression is

\(9x^3-39x^2-30x\)

To find:

The factors by grouping method.

Solution:

We have,

\(9x^3-39x^2-30x\)

Taking out common factors, we get

\(=x(9x^2-39x-30)\)

Splitting the middle term, we get

\(=x(9x^2-45x+6x-30)\)

By grouping method, we get

\(=x(9x(x-5)+6(x-5))\)

\(=x(x-5)(9x+6)\)

Therefore, the factor form of given expression is x(x-5)(9x+6).

Answer:

\( \frac{9x { }^{2 } - 63x}{ 3x} \\ = \frac{3x(3x - 21)}{3x} \\ = 3x - 21 \)

hope it helps:)

Answer:3x-21

Step-by-step explanation:

\(\frac{9x^{2} - 63x }{3x}\) ⇒ \(\frac{3x * (3x - 21) }{3x}\) ⇒ cancel out 3x ⇒ 3x - 21

Deshaun rode the scooter for 102 minutes. Deshaun paid a $7 fee to start the scooter.

1. He paid 7 cents (0.07 dollars) per minute of the ride.

2. The total bill for his ride was $14.14.

Let's denote the number of minutes Deshaun rode the scooter as "t".

The total cost of the ride can be calculated by summing the initial fee and the cost per minute:

Total Cost = Initial Fee + (Cost per Minute) * Number of Minutes

14.14 = 7 + 0.07 * t

Now, we can solve for "t":

0.07 * t = 14.14 - 7

0.07 * t = 7.14

Divide both sides by 0.07:

t = 7.14 / 0.07

t = 102

So, Deshaun rode the scooter for 102 minutes.

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Step-by-step explanation:

Look at the points  (0,-3)  and  ( 3,0)

slope,  m = rise / run =   3 / 3 =  1  

Answer:

1

Step-by-step explanation:

y=x+3

Answer:

b=–2

Step-by-step explanation:

we've got:

(3+bx)⁵===> b⁵x⁵+15b⁴x⁴+90b³x³+720b²x²+405bx+243

and we've also got the coefficient of x³ as –720

90b³=–720===> b³=–8===> b=–2

This should be the correct answer

Exact Form:

729/2

Decimal Form:

364.5

Mixed Number Form:

364  1/2

Answer:

Step-by-step explanation:

Tricky i give that to the question that so i think f 4 maybe it doesn't show  the options

Answer:

natural numbers are the positive numbers that begins from 1 ...

but integers include natural numbers , it's negative and zero

Answer:

1/5

Step-by-step explanation:

You divide by 25 both terms

\(\huge\text{Hey there!}\)

\(\huge\boxed{\mathsf{5\dfrac{1}{4}}}\)

\(\huge\boxed{\mathsf{= \dfrac{5\times4+1}{4}}}\)

\(\huge\boxed{\mathsf{= \dfrac{20 + 1}{4}}}\)

\(\huge\boxed{= \mathsf{\dfrac{21}{4}}}}\)

\(\huge\boxed{\boxed{\rm{Therefore, your \ answer\ is: \ } \boxed{\mathsf{\dfrac{21}{4}}}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day! }\)

~\(\frak{Amphitrite1040:)}\)

Hi there!

To convert a mixed number into an improper fractiom, we must follow the following steps:

Step 1.

5*4=20

Step 2.

20+1=21

Therefore, our final answer is: \(\frac{21}{4}\)

Hope this helps you!

~Just a felicitious girlie

#HaveAnAwesomeDay

\(SilentNature :)\)

Answer:

x=1/2

Step-by-step explanation:

The expected value is a weighted average generalization. The company must choose to mine on site A.

The expected value is a weighted average generalization. Informally, the expected value is the arithmetic mean of a large number of independently chosen random variable outcomes.

To know on which site the company should mine, we need to calculate the expected profit that the company will get from each site. Therefore, the expected profit from each site will be,

Site A:

Expected profit = (0.2)($70 million) + (0.8)(-$15 million) = $2 million

Site B:

Expected profit = (0.1)($140 million) + (0.9)(-$21 million) = -$4.9 million

Since the value from Site B is negative, therefore, the company must choose to mine on site A.

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Answer:

7/24

Step-by-step explanation:

Hope this helps.

Answer:

64

Step-by-step explanation:

[using calculus] When the function h(t) reaches its maximum value, its first derivative will be equal to zero (the first derivative represents velocity of the ball, which is instantaneously zero). We have \(h'(t) = -32t + 48\), which equals zero when \(t = 3/2 = 1.5\). The ball therefore reaches its maximum height when t = 1.5. To find the maximum height, we need to find h(1.5), which is 64 feet.

[without calculus] This is a quadratic function, so its maximum value will occur at its vertex. The formula for the x-coordinate of the vertex is -b/2a, so the maximum value occurs when t = -48/(2*16), which is 1.5. The maximum height is h(1.5), which is 64 feet.

Answer:

y = -5(x - 7)^3 - 1

Step-by-step explanation:

You kind of just plug in the numbers.

a vertical stretch by a factor of ​5: y = 5x^3

a reflection across the​ x-axis: y = -5x^3

a vertical translation 1 unit down: -5x^3 - 1

a horizontal translation 7 units right: -5(x - 7)^3 -1

Using translation concepts, it is found that the cubic function is given by:

\(y = -5(x - 7)^3 - 1\)

The parent function is given by:

\(y = x^3\)

A vertical stretch by a factor of 5 is the same as multiplying by 5, hence:

\(y = 5x^3\)

A reflection across the x-axis is the same as multiplying by -1, hence:

\(y = -5x^3\)

A vertical translation 1 unit down​ is the same as subtracting 1, hence:

\(y = -5x^3 - 1\)

A horizontal translation 7 units right means that \(x \rightarrow x - 7\), hence:

\(y = -5(x - 7)^3 - 1\)

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Answer:

The answer is 35:10

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Add the parts of the ratio to get the whole (7 + 2). Divide the total number of beads and the sum of the ratio to find out how many times you'll multiply (45 ÷ 9). Use the ratio to multiply by 5 (5 • 7) and (5 • 2).

There are 35 black beads and 10 white beads.

So, there are 25 more black beads than white beads.

(2 · 10) + (2 · 12)

Step-by-step explanation:

20 + 24

= (2 · 10) + (2 · 12)

proof :

20 + 24 = 44

(2 · 10) + (2 · 12)

= 2(10 + 12)

= 2(22)

= 44

Answer: If order does not matter then we can use following formula to find different combinations of 6 numbers out of 46 numbers

Step-by-step explanation: Use following Combination formula

nCr = n! / r!(n-r)!

n=46

r=6

=46!/6!(46-6)!

=46!/[6!(40)!]

=(46*45*44*43*42*41*40!)/(6*5*4*3*2*1)(40!)

Cancel out 40!

=46*45*44*43*42*41/(6*5*4*3*2*1)

=6744109680/720

=9366819

Answer:

Sure, I can help with that! Here are the steps to solve each problem:

a) Since sin A = 0.6018, we can use the inverse sine function (sin^-1) to find the measure of angle A. Taking the inverse sine of 0.6018 gives us 37.19 degrees rounded to the nearest degree.

b) Since cos B = 0.9205, we can use the inverse cosine function (cos^-1) to find the measure of angle B. Taking the inverse cosine of 0.9205 gives us 23.06 degrees rounded to the nearest degree.

c) Since tan C = 0.0349, we can use the inverse tangent function (tan^-1) to find the measure of angle C. Taking the inverse tangent of 0.0349 gives us 2.00 degrees rounded to the nearest degree.

I hope that helps! Let me know if you need any further assistance.

Hey there!

2x^2 - 5 / x + 9

= 2(-1)^2 - 5/ -1 + 9
= (2(-1)^2 - 5) / (-1 + 9)

= (2(1) - 5) / 8

= (2 - 5) / 8

= -3 / 8

≈ -0.375

Therefore, your answer is:

-3/8 OR -0.375

EITHER OF THOSE SHOULD WORK BECAUSE THEY ARE EQUIVALENT TO EACH OTHER!

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

Product = \(\dfrac{64}{135}\)

Step-by-step explanation:

The expression is as follows :

\(\dfrac{4}{7}\times \dfrac{8}{9}\times \dfrac{14}{15}\)

We need to find the product of the above expression

As 7 × 2 = 14

So, it will become :

\(4\times \dfrac{8}{9}\times \dfrac{2}{15}\\\\=\dfrac{4\times 8\times 2}{9\times 15}\\\\=\dfrac{64}{135}\)

So, the product of the given fractions is \(\dfrac{64}{135}\).

Answer:

64/135

Step-by-step explanation:

Answer:

\(x = \displaystyle \frac{5 + \sqrt{17}}{2}\).

Step-by-step explanation:

Because \(3\, x\) is found in the input to a logarithm function in the original equation, it must be true that \(3\, x > 0\). Therefore, \(x > 0\).

Similarly, because \((x - 4)\) and \((2\, x - 1)\) are two other inputs to the logarithm function in the original equation, they should also be positive. Therefore, \(x > 4\).

Let \(a\) and \(b\) represent two positive numbers (that is: \(a > 0\) and \(b > 0\).) The following are two properties of logarithm:

\(\displaystyle \ln (a) + \ln(b) = \ln\left(a \cdot b\right)\).

\(\displaystyle \ln (a) - \ln(b) = \ln\left(\frac{a}{b}\right)\).

Apply these two properties to rewrite the original equation.

Left-hand side of this equation:

\(\begin{aligned}&\ln(3\, x) - \ln(x - 4)= \ln\left(\frac{3\, x}{x -4}\right)\end{aligned}\)

Right-hand side of this equation:

\(\ln(2\, x- 1) + \ln(3) = \ln\left(3 \left(2\, x - 1\right)\right)\).

Equate these two expressions:

\(\begin{aligned}\ln\left(\frac{3\, x}{x -4}\right) = \ln(3(2\, x - 1))\end{aligned}\).

The natural logarithm function \(\ln\) is one-to-one for all positive inputs. Therefore, for the equality \(\begin{aligned}\ln\left(\frac{3\, x}{x -4}\right) = \ln(3(2\, x - 1))\end{aligned}\) to hold, the two inputs to the logarithm function have to be equal and positive. That is:

\(\displaystyle \frac{3\ x}{x - 4} = 3\, (2\, x - 1)\).

Simplify and solve this equation for \(x\):

\(x^2 - 5\, x + 2 = 0\).

There are two real (but not rational) solutions to this quadratic equation: \(\displaystyle \frac{5 + \sqrt{17}}{2}\) and \(\displaystyle \frac{5 - \sqrt{17}}{2}\).

However, the second solution, \(\displaystyle \frac{5 - \sqrt{17}}{2}\), is not suitable. The reason is that if \(x = \displaystyle \frac{5 - \sqrt{17}}{2}\), then \((x - 4)\), one of the inputs to the logarithm function in the original equation, would be smaller than zero. That is not acceptable because the inputs to logarithm functions should be greater than zero.

The only solution that satisfies the requirements would be \(\displaystyle \frac{5 + \sqrt{17}}{2}\).

Therefore, \(x = \displaystyle \frac{5 + \sqrt{17}}{2}\).

Answer:

13

Step-by-step explanation:

cos 13 x 2 = 26

13 is a factor that is more than 4 and less then 26

The factor of the number 26 that is between 4 and 26 is 13. Factors are the numbers that can divide into a number without leaving a remainder. In this case, the factors of 26 are 1, 2, 13, and 26.

In mathematics, a factor of a number is a number that divides into another number without leaving a remainder. In the case of the number 26, its factors include 1, 2, 13, and 26. The factor of 26 that is between 4 and 26 is 13.

To find this, you can go through the factors of 26 one by one. The factors are found by dividing 26 by all the numbers up to 26, and the numbers that give a remainder of 0 are the factors. In this case, 1, 2, 13, and 26 divide evenly into 26, and so are the factors of 26. Of these, only 13 lies between 4 and 26.

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