What is the product of 3x and 2x^4 − 12x^2 + 7?

Answer: 174

Step-by-step explanation: ok so we divide 220 by 11 to get 20 and times that by two to get 20 children on this journey then see that all children paid and 70 percent of adults so 70 percent of 220 is 154 and then 154 + 20 is 174 so thats the number of fares paid

Answer:

see explanation below

if you have any questions on equation you can send it to me

Step-by-step explanation:

We have various of ways in which we can simplify an equation

for example

simplify: 2x – 4 = 10

soln

2x – 4 = 10

since we are looking for x we need to collect like terms

2x = 10 + 4

2x = 14

Then we will divide both sides by 2 to get x

x = 14/2

x = 7

N.B:- after solving an equation if you want to check the answer just substitute for the value

2x – 4 = 10

2(7) – 4 = 10

14 – 4 = 10

10 = 10

LHS = RHS

pls rate as brainliest

Answer:

6

Step-by-step explanation:

Given that f(3), x=3.

Since f(x) = 2x, we plug in 3 for x, and get 2 times 3. Therefore, the answer comes out to 6.

When f(3)

Then we have:

3=2x

Now we divide by 2 (on both sides)

and are left with

x = 1.5

Hope this helps :)

To get the maximum profit, Kate should display as many cards from company B as possible, since she makes a higher profit from those cards.

Let x be the number of cards from company A and y be the number of cards from company B.

The constraints are:

The objective function is:

  P = 0.30x + 0.32y (the profit from selling the cards)

To maximize the profit, we need to maximize the value of y. Since the display rack can hold up to 90 cards, we can set y = 90 - x.

Substituting this into the objective function:

  P = 0.30x + 0.32(90 - x)
P = 0.30x + 28.8 - 0.32x
P = -0.02x + 28.8

To maximize P, we need to minimize x. Since x must be at least 40, we can set x = 40.

Substituting this back into the objective function:
P = -0.02(40) + 28.8
P = 28

So the maximum profit Kate can make is $28, by displaying 40 cards from company A and 50 cards from company B.

Learn more about profit margin at https://brainly.com/question/28180283

#SPJ11

Answer:

3rd one down

Step-by-step explanation:

(1,5), (2,9), (3,13), (4,17)

The table C is Solution for the 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. LHS = RHS is a common mathematical formula.

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:

Equation: y= 4x+ 1

When x= 1

y = 5

and, x= 2

y= 8 + 1= 9

and, x= 3

y= 12 + 1= 13

and, x=4

y = 16 + 1 = 17

Thus, the solution for the Equation is (1, 5), (2, 9), (3, 13) and (4, 17).

Hence, the table C is Solution for the Equation.

Learn more about Equation here:

https://brainly.com/question/29538993

#SPJ5

Answer:

2x+2y = 8

Step-by-step explanation:

Simply multiply the first equation x + y=4 by 2:

x + y=4
*2      *2

(x + y)2 = 8

2x+2y = 8

x + y = 4  and 2x+2y = 8 are the same equation. You can't solve x+y = 4, there's infinite number of solutions, just like how you can't solve 2x+2y = 8

There are a total of 99 monotonous positive integers. To find the number of monotonous positive integers, we need to consider two cases: one-digit numbers and multi-digit numbers.

Each of these case is explained as follows:

Case one: One-digit numbers
There are 9 one-digit numbers from 1 to 9. All of these numbers are considered monotonous since they are already in strictly increasing order.

Case two: Multi-digit numbers
For multi-digit numbers, we need to consider two possibilities: strictly increasing and strictly decreasing sequences.

Strictly increasing sequences:
Let's consider a sequence of length n. The first digit can be any number from 1 to 9. The second digit can be any number from the first digit plus 1 to 9. The third digit can be any number from the second digit plus 1 to 9, and so on.
For example, for a sequence of length 3, we have the following possibilities:
- 123
- 124
- 125
- ...
- 789
The number of possibilities for each position decreases by 1 as we move from left to right. Therefore, the number of possibilities for a sequence of length n is 9 choices for the first digit, 8 choices for the second digit, 7 choices for the third digit, and so on, until we have only 1 choice for the last digit.
Using the formula for the sum of an arithmetic series, the total number of strictly increasing sequences is given by:
9 + 8 + 7 + ... + 1 = (9 * (9 + 1)) / 2 = 45

Strictly decreasing sequences:
The same logic applies to strictly decreasing sequences. The first digit can be any number from 1 to 9. The second digit can be any number from the first digit minus 1 to 1. The third digit can be any number from the second digit minus 1 to 1, and so on.
For example, for a sequence of length 3, we have the following possibilities:
- 987
- 986
- 985
- ...
- 321

Again, the number of possibilities for each position decreases by 1 as we move from left to right. Therefore, the number of possibilities for a sequence of length n is 9 choices for the first digit, 8 choices for the second digit, 7 choices for the third digit, and so on, until we have only 1 choice for the last digit.

Using the same formula, the total number of strictly decreasing sequences is also 45.

A total number of monotonous positive integers:
Adding up the one-digit numbers and the strictly increasing and decreasing sequences, we get:
9 (one-digit numbers) + 45 (strictly increasing sequences) + 45 (strictly decreasing sequences) = 99

Learn more about positive integer here:

https://brainly.com/question/1367050

#SPJ11

Answer:

m∠x = 98°

Step-by-step explanation:

Step 1: Find the supplementary angle in the triangle

180 - (53 + 45) = 82

Step 2: Use Supplementary Angles to solve for x

180 - 82 = 98°

Answer:

The length and width of the rectangle are 23 m and 7 m respectively.

Step-by-step explanation:

P = 2L + 2W

P (perimeter of the rectangle) = 60 m

L (length of the rectangle) = 2 + 3W. W is the width of the rectangle

Therefore, L = 2 + 3W

P = 2L + 2W

60 = 2(2 + 3W) + 2W

60 = 4 + 6W + 2W

60 - 4 = 8W

56 = 8W

W = 56/8 = 7 m

L = 2 + 3W = 2 + 3(7) = 2 + 21 = 23 m

L = 23 m

W = 7 m

Percentage change = 10%

We can use the formula:

Percent change = \(\frac{New-Old}{Old}\) x 100

Percent change = \(\frac{77-70}{70}\)x100

Percent change = \(\frac{7}{70}\) x 100

Percent change = 0.1 x 100

Percent change = 10%

Answer: 53.9

Step-by-step explanation:

The equations that represent the line are:

B. 2x + 3y = –3

D. y + 3= –2/3(x – 3)

E. y – 1 = –2/3(x+3)

An equation that represents a line whose slope is given as m, and it intercepts the y-axis at b, is expressed in slope-intercept form as y = mx + b.

To find the equation of the given line above, pick two points on the line, (0, -1) and (-3, 1) and find the slope (m):

Slope of the line (m) = change in y / change in x = (1 - (-1)) / (-3 - 0)

Slope of the line (m) = 2 / -3

Slope of the line (m) = -2/3.

The line intercepts the y-axis at -1. This means the y-intercept of the line is b = -1.

To write the equation of the line, substitute m = -2/3 and b = -1 into y = mx + b:

y = -2/3x - 1

It can be rewritten as 2x + 3y = –3 in standard form, or as y + 3= –2/3(x – 3) or y – 1 = –2/3(x+3) in point-slope form.

Therefore the answers are:

B. 2x + 3y = –3

D. y + 3= –2/3(x – 3)

E. y – 1 = –2/3(x+3)

Learn more about the equation of a line on:

https://brainly.com/question/25969846

#SPJ1

Answer:

Teo= 9

Richard= 24

Step-by-step explanation:

x= Richard

y= Teo

33-15= 18

18÷2= 9

15+9=24

Teo is 6 years old and Richard is 27 years old.

The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.

Let x be Teo's age, then Richard's age is 15 years older than twice Teo's age, or 15 + 2x. The combined age of Richard and Teo is 33, so we can write an equation:

x + (15 + 2x) = 33

Simplifying and solving for x, we get:

3x + 15 = 33

3x = 18

x = 6

So Teo is 6 years old and Richard is 15 + 2(6) = 15 + 12 = 27 years old.

Learn more about the equations here:

brainly.com/question/10413253

#SPJ2

Answer:

7.

Step-by-step explanation:

7^8 x 7^3 x 7^4 / 7^9 7^5

= 7^(8+3+4) / 7^(9+5)

= 7^15 / 7^14

= 7^(15-14)

= 7.

Answer:

7

Step-by-step explanation:

When the bases of the numbers are the same when multiplying numbers with exponents, you can just add the exponents like so:

\(7^8 * 7^3 * 7^4 = 7^{15}\)

Now, look at the rest of the simplified equation and do the same to the denominator:

\(\frac{7^{15}}{7^9*7^5}\) ⇒ \(\frac{7^{15} }{7^{14} }\)

When the bases are the same in the fraction, you are allowed to subtract the exponents. This will lead you to the simplified answer \(7^{15-14}\) = \(7^1\) = \(7\)

Step-by-step explanation:

1 ans :< ACD=x

<B=46

<c=30

exterior angle is sum of interior opposite angle

<ACD = <B + <C

x= 46 +30

x= 76

Answer:

(If solving for x) X = 2y-1

Step-by-step explanation:

Y-2 = 1/2(x-3)

Distributive property

Y-2 = 1/2x - 1.5

Addition property of equality

Y-0.5=1/2x

Multiplication property

2Y-1=X

Symmetric property

X = 2y-1

Answer:

2 pounds

Step-by-step explanation:

Answer:

c. 4x

Step-by-step explanation:

To solve the system of equations, we need to find the values of x, y, and z that satisfy all three equations.

The given equations are:

2x – 3y + 2z = 14
-x – y + Oz = 4
3x + Oy + 2z = -3

To solve this system, we can use the method of substitution.

First, let's solve the second equation for O:

-x – y + Oz = 4
Oz = x + y + 4
O = (x + y + 4)/z

Now, we can substitute this expression for O into the first and third equations:

2x – 3y + 2z = 14
3x + (x + y + 4)/z + 2z = -3

Next, we can simplify the third equation by multiplying both sides by z:

3xz + x + y + 4 + 2z^2 = -3z

Now, we can rearrange the equations and solve for one variable:

2x – 3y + 2z = 14
3xz + x + y + 4 + 2z^2 = -3z

From the first equation, we can solve for x:

x = (3y – 2z + 14)/2

Now, we can substitute this expression for x into the second equation:

3z(3y – 2z + 14)/2 + (3y – 2z + 14)/2 + y + 4 + 2z^2 = -3z

Simplifying this equation, we get:

9yz – 3z^2 + 21y + 7z + 38 = 0

This is a quadratic equation in z. We can solve it using the quadratic formula:

z = (-b ± sqrt(b^2 – 4ac))/(2a)

Where a = -3, b = 7, and c = 9y + 38.

Plugging in these values, we get:

z = (-7 ± sqrt(49 – 4(-3)(9y + 38)))/(2(-3))
z = (-7 ± sqrt(13 – 36y))/(-6)

Now that we have a formula for z, we can substitute it back into the equation for x and solve for y:

x = (3y – 2z + 14)/2
y = (4z – 3x – 14)/3

Plugging in the formula for z, we get:

x = (3y + 14 + 7/3sqrt(13 – 36y))/2
y = (4(-7 ± sqrt(13 – 36y))/(-6) – 3(3y + 14 + 7/3sqrt(13 – 36y)) – 14)/3

These formulas are a bit messy, but they do give the solution for the system of equations.

to know more about quadratic, please visit;

https://brainly.com/question/1214333

#SPJ11

The three major chords built on white notes without accidentals are:

1. C major chord (C, E, G)

2. F major chord (F, A, C)

3. G major chord (G, B, D)

These chords are formed by taking the root note, skipping one white note, and adding the next white note on top. For example, in the C major chord, the notes C, E, and G are played together to create a harmonious sound.

Similarly, the F major chord is formed by playing F, A, and C, and the G major chord is formed by playing G, B, and D. These three major chords are commonly used in various musical compositions and are fundamental building blocks in music theory.

To know more about musical chords, visit,

https://brainly.com/question/14936810

#SPJ4

Answer: b

Step-by-step explanation:

Answer:

The answer is b

Step-by-step explanation:

Inequalities help us to compare two unequal expressions. The correct option is D.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

The given expression can be solved as,

\(\dfrac{\sqrt{7x^2}}{\sqrt{3x}}\\\\= \dfrac{\sqrt{7}x}{\sqrt{3x}}\\\\= \sqrt{\dfrac{7x}{3}}\)

Since the value of (7x/3) is needed to be positive, therefore, the inequality that represents all the values of x for the quotient is defined as x>1.

Hence, the correct option is D.

The complete question is mentioned in the below question.

Learn more about Inequality:

https://brainly.com/question/19491153

#SPJ2

Answer: x>0

Step-by-step explanation:

The function of the table will be y = 5x.

And, The graph of the function is shown in figure.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Jalyn made a table of how much money she will earn from babysitting as;

1, 5

2, 10

3, 15

4, 20

Now,

Find the function of the table as;

Take two points of the table are,

(x, y) = (1, 5), (2, 10)

We know that;

The equation of function is find as;

⇒ y - y₁ = (y₂ - y₁) / (x₂ - x₁) (x - x₁)

⇒ y - 5 = (10 - 5) / (2 - 1)  (x - 1)

⇒ y - 5 = 5 (x - 1)

⇒ y - 5 = 5x - 5

⇒ y = 5x - 5 + 5

⇒ y = 5x

Thus, The function of the table will be y = 5x.

And, The graph of the function is shown in figure.

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ2

Width=length

Let's assign a variable for the width, and call it x.

Since the width is equal to it's length, we can also call the length x.

The perimeter formula for a rectangle is 2(l+w).

Hope this helps!

Answer:

\(105ft\)

Step-by-step explanation:

Since it's saying that the width of a rectangle is its length, that means all the sides of the rectangle are equal.

Since a rectangle has only 4 sides, we can divide the perimeter of the rectangle (420 ft) by 4 (sides)

Note: perimeter is the sum of all sides!

420 ÷ 4 = 105

Hope this helps!

The standard, vertex, and intercept forms of quadratic functions are f(x) = ax²+bx+c, f(x) = a(x-h)² +k, and f(x) = (x-a)(x-b).

The equation of the form ax² + bx +c is known as a quadratic equation.

(1)The standard form of a quadratic function is f(x) = ax² + bx +c.

It is useful to determine the end behavior of the graph of the function.

If the sign of the leading coefficient is positive, then the graph opens upward rising in both directions, and if the leading coefficient is negative, then the graph opens downward decreasing in both directions.

(2)

The vertex form of a quadratic function is f(x) = a(x-h)² +k.

The vertex form is useful to determine the coordinates of the vertex of the parabola, which are (h, k).

(3)

The intercept form of the parabola is f(x)= (x-a)(x-b) where a and b are the zeros of the function.

So, it is useful to find the x-intercepts or zeros of the function.

Hence, the standard, vertex, and intercept forms of quadratic functions are f(x) = ax²+bx+c, f(x) = a(x-h)² +k, and f(x) = (x-a)(x-b).

Learn more about the quadratic equations:

https://brainly.com/question/17177510

#SPJ1

The relative maxima and relative minima of the function

f(x) = x^5 - 4x^3 + 3x^2 - 8x - 6

The relative minima and maxima is calculated

The procedure is done as follows

x^5 - 4x^3 + 3x^2 - 8x - 6

differentiating gives

5x^4 - 12x^2 + 6x - 8

solving the equation for the critical values are

x₁ = 0.176 + 0.73i

x₂ = 0.176 - 0.73i

x₃ = 1.518

x₄ = -1.871

The second derivative

5x^4 - 12x^2 + 6x - 8

differentiating gives

20x^3 - 24x + 6

substituting x = 1.58

20 * 1.58^3 - 24 * 1.58 + 6

= 46.966 (positive hence minima)

substituting x = -1.871

20 * -1.871^3 - 24 * -1.871 + 6

= -169.9 (negative hence maxima)

Learn more about relative maxima and minima at:

https://brainly.com/question/6422517

#SPJ1

The decibel value of the noise is 50 db.

What is meaning of intensity of sound?

The quantity of energy going across a unit area in a unit time in a direction that is opposite to the direction of the sound waves.

The unit that used to calculate intensity of sound is decibel.

Given equation that represents the relation between intensity of sound and the ratio of the sound to the human hearing threshold is

db = 10 log i

Where i = the ratio of the sound to the human hearing threshold.

Putting i = 100,000 in the given equation:

db = 10 log 100,000

Replace 100,000 by 10⁵ :

db = 10 log 10⁵

Applying the formula of logarithm log 10^{a} = a:

db = 10 × 5

db = 50

To learn more about human hearing threshold, click on below link:

https://brainly.com/question/19920717

#SPJ4

Answer:

c

Step-by-step explanation:

using the identity

• 1 + cot²x = csc²x

given

2(csc²Θ - cot²Θ )

= 2(1 + cot²Θ - cot²Θ)

= 2(1)

= 2

Answer:

Step-by-step explanation:

The root which is 2 is the fractional portion of your exponent

\(\sqrt{x^{7} y^{12} }\)

=\((x^{7} y^{12} )^{\frac{1}{2} }\)              >You can distribute 1/2 to each term by multiplying

\(=x^{\frac{7}{2} } y^{6\)

Answer:

\(-9x-10y\)

Step-by-step explanation:

\(10yi^2-9x \\ \\ =10y(-1)-9x \\ \\ =-9x-10y\)