its composition of fractions in pre-calculus.I know how to do these types of questions, im just not sure how u would set it up if there are 2 x's in one of the equations.

We can model the cost and number of tickets by a linear equation of the form

Where c is the cost, t is the number of tickets.

m is the slope of the equation and b is the y-intercept.

First, let us find the slope which is given by

You can take any two pairs of values from the table.

The slope is 9.75 and the equation becomes

Now we need to find the y-intercept (b)

Choose any one pair of values from the table and substitute them into the above equation and solve for b.

Let's choose (12, 117)

The y-intercept is 0 so the equation is

Now to find the cost of 7 tickets, simply substitute t = 7 into the above equation

Therefore, the cost of 7 tickets is $68.25

The expression 2x⁷· y⁴ would be equivalent to the given polynomial expression.

A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.

The given polynomial expression below is:

⇒ 10x⁵y⁷/5x⁵y · 3x⁴y⁸/3x⁻³y¹⁰

Apply the division operation in the constant terms

⇒ 2x⁵y⁷/x⁵y · x⁴y⁸/x⁻³y¹⁰

Apply the arithmetic operation in the Exponents of the same base variables

⇒ 2y⁶ · x⁷y⁻²

⇒ 2y⁶⁻² · x⁷

⇒ 2y⁴ · x⁷

⇒ 2x⁷· y⁴

Therefore, the expression 2x⁷· y⁴ would be equivalent to the given polynomial expression.

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Answer:

Step-by-step explanation:

14x2=28

50 divided by 2 = 25 pages

14pages=28mins

page=2mins

so

pages =50/2

=25

Plot the function on the graph.

From the graph it can be observed that graph of function opening upwards and it has minimum value at x = -2.

Thus function has minimum value.

The minimum value of the function occurs at x = -2. So mimimum value of function occurs at x = -2.

The value of the function at x = -2 is -4. So function's minimum value is -4.

Rate of change = 1

The given linear function is:

y = x - 7

The rate of change of the function is gotten by finding the derivative (dy/dx) of the function

dy/dx = 1

The rate of change = 1

First, let's calculate the total number of items:

The ratio of books to marbles is calculated by dividing the number of books by the number of marbles:

The ratio of DVD's to the total number of items is:

The percentage of dvd's from the total is:

You will need 275 ml of the 90% solution

Let the amount of the 90% alcohol be x

Amount of the 30% alcohol solution = 385 ml

The amount of the mixture = 385 + x

(30% of 385) + (90% of x) = 55% of (385+x)

You will need 275 ml of the 90% solution

The value of x = 16 + 4[tex]\sqrt{15}[/tex]

Given,

To solve the equations :

[tex]\sqrt{x+3} - \sqrt{x -1}[/tex] = -2

Solve by the given steps :

Now, According to the question:

Step 1: Simplify to obtain the radical form on one side of the equation:

[tex]\sqrt{x+3} - \sqrt{x -1}[/tex] = -2

Step 2: Raise both sides of the equation to the power of 2

[tex](\sqrt{x+3} - \sqrt{x -1})^2 = (-2)^2[/tex]

x + 3 + 2x - 1 -2 [tex]\sqrt{(x+3)(2x -1)}[/tex] = 4

3x - 2 = 2 [tex]\sqrt{(x+3)(2x -1)}[/tex]

[tex](3x - 2)^2 = [2\sqrt{(x+3)(2x -1)}]^2[/tex]

9[tex]x^{2}[/tex] - 12x + 4 = 4 (2[tex]x^{2}[/tex] + 5x -3)

Step 3: Apply the zero product rule, Simplify to get a quadratic equation :

[tex]x^{2}[/tex] - 32x +16 = 0

Step 4: Use the quadratic formula to find the values of x :

[tex]x^{2}[/tex] - 32x + 16 =0

x = 16 + 4[tex]\sqrt{15}[/tex] and x = 16 - 4[tex]\sqrt{15}[/tex]

x = 16 - 4[tex]\sqrt{15}[/tex]  (It is rejected)

So, the value of x = 16 + 4[tex]\sqrt{15}[/tex]

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Answer: Raise both sides of the equation to the power of 2

simplify to obtain the final radical term on one side of the equation

raise both sides of the equation to the power of 2 again

simplify to get a quadratic equation

use the quadratic formula to find the xvalues

Step-by-step explanation:

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Define Prime factorization.

Prime factorization is a way of expressing a number as a product of its prime factors. A prime number is a number that has exactly two factors, 1 and the number itself. Examples of prime numbers are 2,3,5,7...etc.

STEP 2: Find the prime factors of the given number

Prime factorization of any number means to represent that number as a product of prime numbers.

We start by dividing the number by the lowest possible prime numbers.

STEP 3: Express 350 as a product of its prime factors

Hence, the prime factorization of 350 is given as:

Given:

Let's solve the equation in terms of p:

The subsets of E is all the above .

If every component present in Set A is also present in Set B, then Set A is said to be a subset of Set B. To put it another way, Set B contains Set A. As an illustration, if set A has the elements X, Y, and set B contains the elements X, Y, and Z, then set A is the subset of set B.

If every element in a set A is also an element in a set B, then the set A is a subset of the set B. The set A is therefore contained within the set B. AB is used to represent the subset connection. For instance, if the sets A and B are equal, AB but BB, respectively.

Let the event E =  {english, math, french, art}

The subsets of E is all the above .

null set is also subset of E

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From the graph, we are to determine the following:

(a) We are to find the option that costs less if Abdul drives 300 miles of the rental car and also how much less is it from the other option.

Option A: when x = 300, y = 140

Option B: when x = 300, y = 120

So the difference is:

140 - 120 = 20

So the option that costs less is B

And it costs $20 lesser than option A

(b) For what number of miles does the option costs the same and if Abdul drives less than that amount, what option cost more.

Option A: when x = 100, y = 60

Option B: when x = 100, y = 60

Therefore, the number of miles where the options cost the same is 100 miles.

If Abdul drives less than the amount:

That is x < 100, the B > A,

Which means, if Abdul drives less than 100 miles, Option B, costs more.

To simplify this, we need to apply distributive property.

Given: 8(10 m)

Expand the parenthesis:

ANSWER:

As the x-axis increases uniformly the y-axis increase and decreases so the horizontal axis must be labeled with time and the vertical axis with speed so option (A) is correct.

A graph is a diametrical representation of any function between the dependent and independent variables.

The graph is easy to understand the behavior of the graph.

The graph of a treadmill workout has been plotted.

We all know that the speed of the treadmill keep fast initially but after some time the speed reduces and it goes to zero lineary.

Therefore,the horizontal axis wich is uniform changes cause to vertical axis with first increase and then decrease shown.

Hence "As the x-axis increases uniformly the y-axis increase and decreases so the horizontal axis must be labeled with time and the vertical axis with speed".

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we have a table that describe the line and we need to finde the slope and the intercept with the y axis, so the slope can be found with this equation:

So I use the numbers in the table to fill the equation so:

now for the intercept we replace x=0 and use the coordinate (1,8) so:

and we solve for y so:

So the equation is:

Let's analyze each sentence to check if it is true or false:

First:

This sentence is true, the confidence interval is an interval where the true mean is likely to be.

Second:

This sentence is true, with a sample size smaller than 30, it is better to use the t-distribution instead of the normal distribution.

Third:

This sentence is true, the confidence interval is not a 100% guarantee that the true mean will be inside it.

Fourth:

Ti s sentence is true, this theorem states that when getting a large enough sample of a distribution with mean and standard deviation, the sample will be approximately normally distributed.

Fifth:

This sentence is false, because the number of degrees of freedom is 1 less than the sample size, so it would be 10.

Therefore the answer is:

True, True, True, True, False.

Answer

a. (4, 3)

Step-by-step explanation

The translation of a point (x, y) a units to the right and b units up transforms the point into (x + a, y + b).

Considering point B(2, 5), translating it 4 units to the right and 3 units up, we get:

B(2, 5) → (2+4, 5+3) → B'(6, 8)

The translation of a point (x, y) c units to the left and d units down transforms the point into (x - c, y - d).

Considering point B'(6, 8), translating it 2 units to the left and 5 units down, we get:

B'(6, 8) → (6 - 2, 8 - 5) → B''(4, 3)

Answer: The answer would be (4,3)

Step-by-step explanation: because if you started with (2,5), which would be (x,y) x goes left and right, and y goes up and down, and the questions says that you have to go 4 to the right and 3 up, then add 4 to 2, which is 6, and 3 to 5, which is 8, so now you have the point (6,8), then the second translation would be 2 to the left, and down 5, this is negative so you subtract this time, so subtract 2 from 6, which is 4, and 5 from 8, which is 3, so your final answer is (4,3).

After solving the given polynomial (7x³ + 21x² - 63x = 0), the value of x are (x = 0) and {x = [(-3 ± 3√5)/2]}

So, 7x³ + 21x² - 63x = 0:

Now, solve for x as follows:

Zero factor principal, if ab = 0, then a = 0 and b = 0.

Now, x² + 3x - 9 = 0:

Therefore, after solving the given polynomial (7x³ + 21x² - 63x = 0), the value of x are (x = 0) and {x = [(-3 ± 3√5)/2]}

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Las líneas en un plano cartesiano son infinitas, no tienen un punto de inicio o final, por lo que no es posible determinar un punto medio para ellas.

Slope-intercept equation:

y=mx+b

Where:

m= slope

b=y- intercept

Point 1 = (x1,y1) = (-2,1)

Point 2 = (x2,y2)= (4,2)

First, find the slope by applying the formula:

Now we have:

y=1/6x+b

Replace x,y by a point ( for example point 1 (-2,1)) and solve for b:

1 = 1/6 (-2) +b

1= -1/3 +b

1+1/3 = b

b= 4/3

Final equation:

y= 1/6x+4/3

The Solution to Question 24:

Given the function below:

We are asked to find the value of h(g(5)).

Step 1:

We shall find g(5) by substituting 5 for x in g(x).

So that:

Similarly, we shall find h(-25) by substituting -25 for x in h(x).

Therefore, the correct answer is

we know that

L=KW(h^2)/l

we have that

W=5 in

h=8 in

l=216 in

L=7670 pounds

step 1

Find the value of K (constant of proportionality)

substitute the given values in the equation

7670=K(5)(8^2)/216

7670=k(1.4815)

k=5,177.25

step 2

we have the equation

L=(5,177.25)W(h^2)/l

for

W=3 in

h=5 in

l=240 in

substitute in the equation and solve for L

L=(5,177.25)(3)(5^2)/240

L=1,617.89 pounds

Round your answer to the nearest integer

so

L=1,618 pounds

Answer:

a) Using the formula for the discriminant we get:

The discriminant is 64.

b) Based on the above result we know that the f(x)=0 has 2 real solutions,

If the domain is all real numbers greater than or equal to 4, the interval will be

At t = 1.5 sec the tool is at the height of 119 feet.

Given, A window washer drops a tool from their platform 155 ft high.

The polynomial -16r² + 155 tells us the height, in feet, of the tool / seconds after it was dropped.

we are asked to determine the height, in feet, after t = 1.5 seconds.

we know that h(t) = -16r² + 155

hence at t=1.5 sec, height is = ?

⇒ h(1.5) = -16t² + 155

⇒ h(1.5) = -16(1.5)² + 155

⇒ h(1.5) = -16(2.25) + 155

⇒ h(1.5) = -36 + 155

⇒ h(1.5) = 119

at t=1.5 sec the tool is at the height of 119 feet.

Hence we get the height as 119 feet.

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What integer represents the airplanes changes in altitude to avoid the storm ?

changes = 35000 - 30000

= 5000 ft

the integer 5000 represents the change in altitude to feet to avoid the storm.

the integer -5000 represents the change in altitude in feet immediately after passing the storm.



The radius of the circumference would be

x2 = 4.5

x1 = 2

r = x2 - x1

r = 4.5 - 2.0

r = 2.5

The radius would be 2.5

Given:

Length = 4m

Width= 3m

Height = 2.5 m

Therefore, the surface area of rectangle prism is 2lh+2bh+lb

Hence, the required answer is 47m^2.

Line Segments and Rays

A line segment has two endpoints. It contains these endpoints and all the points of the line between them,

A ray is a part of a line that has one endpoint and goes on infinitely in only one direction. You cannot measure the length of a ray.

The figure shows a line that starts in B and goes infinitely to the left side, passing through A, thus the correct choice is B. Ray BA

The number of ways that the planning committee can be formed if there are 3 members from each group is 6545 ways.

Combinations are also referred to as selections. Combinations imply the selection of things from a given set of things. In this case, we intend to select the objects. This can be illustrated by ⁿCr

The combination formula is illustrated thus:

ⁿCr = n! / ((n – r)! r!)

n = the number of items.

r = how many items are taken at a time

The number of people will be:

= 10 + 16 + 9

= 35

The number of ways will be:

= ³⁵C₃

= 35! / (35 - 3)! 3!

= 35! / 32! 3!

= 35 × 34 × 33 / 3 × 2

= 6545 ways

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6545 ways can a planning committee be formed if there are 3 members from each group.

Combination is a way of selecting items from a collection where the order of selection does not matter.

The formula for combination is ⁿCr = n! / ((n – r)! r!)

Where n is total number of objects and r is number of objects we have to choose.

The committee has 10 administrators, 16 faculty members, and 9 staff members.

The total number of persons

10+16+9

35

Now we need to select 3 persons from 35 persons

n=35 and r=3

³⁵C3 = 35! / ((35 – 3)! 3!)

=35! / ((32)! 3!)

=35×34×33×32! / (32! 3!)

=35×34×33 /6

=6545 ways

Hence in 6545 ways can a planning committee be formed if there are 3 members from each group.

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