Please help

Technology required. Function fis defined by f(x) = 3x + 5 and function g
is defined by g(x) = (1.1)x.
1. Complete the table with values of f(x) and g(x). When necessary, round to 2 decimal places.

2. Which function do you think grows faster? Explain your reasoning.
3. Use technology to create graphs representing fand g. What graphing window do you have to use to see the value of x where g becomes greater than f for that x?

Answer:14+15=19, 15+16=31, 15+22=37

Step-by-step explanation:

The graph is symmetric about the y-axis, so its a even function.

EVEN function:

ODD function:

Thus, the graph is symmetric about the y-axis, so its a even function.

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Babe and Ruth are 675 miles apart and headed straight toward each

other. If Babe is traveling at 40 mph and Ruth is traveling at 35

mph, it will take 9 hours before they meet.

To determine the time it will take for Babe and Ruth to meet, we need to use the formula:

time = distance / rate

Since they are traveling towards each other, we can add their speeds to get the combined speed at which they are approaching each other.

combined speed = Babe's speed + Ruth's speed

combined speed = 40 mph + 35 mph

combined speed = 75 mph

Now we can plug in the values we have into the formula:

time = distance / combined speed

time = 675 miles / 75 mph

time = 9 hours

Therefore, it will take 9 hours before Babe and Ruth meet.

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With an APR of 6.75% over a 20-year period, the annual payment for the loan will be $81,371.52.

To find the annual payment for the loan, we need to first find the total cost of the land and the amount of the loan.

Total cost of the land = 245 acres x $4,700/acre = $1,151,500

Down payment = 25% of total cost = 0.25 x $1,151,500 = $287,875

Loan amount = Total cost - Down payment = $1,151,500 - $287,875 = $863,625

Next, we need to use the loan amount, APR, and loan term to find the annual payment. We can use the following formula:

Annual payment = (Loan amount x APR) / (1 - (1 + APR)^(-Loan term))

Plugging in the values we have:

Annual payment = ($863,625 x 0.0675) / (1 - (1 + 0.0675)^(-20))

Annual payment = $58,294.69 / (1 - 0.2837)

Annual payment = $58,294.69 / 0.7163

Annual payment = $81,371.52

Therefore, the annual payment for the loan is $81,371.52.

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Answer:

16 percent decrease

Step-by-step explanation:

[tex]\textit{difference and sum of cubes} \\\\ a^3+b^3 = (a+b)(a^2-ab+b^2) ~\hfill a^3-b^3 = (a-b)(a^2+ab+b^2) \\\\[-0.35em] ~\dotfill\\\\ x^3+\cfrac{1}{8}\implies x^3+\cfrac{1^3}{2^3}\implies x^3+\left( \cfrac{1}{2} \right)^3~\hfill \stackrel{\textit{let's just for a second make}}{\cfrac{1}{2}=a} \\\\\\ x^3+a^3\implies (x+a)(x^2-ax+a^2)\implies \left( x+\frac{1}{2} \right)\left( x^2-\frac{x}{2}+\frac{1}{4} \right)[/tex]

The value of the line segment AB of the trapezoid ABCD will be 25.9 units.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezoid, one pair of opposite sides are parallel.

The sum of the parallel sides of the trapezoid is equal to twice the line segment that divides the other two sides in the ratio of 1: 1.

Then the equation is given as,

MN = (AB + CD) / 2

18.7 = (AB + 11.5) / 2

37.4 = AB + 11.5

AB = 25.9 units

The value of the line segment AB of the trapezoid ABCD will be 25.9 units.

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Answer:

V(t)= 900(0.8) ^t

Step-by-step explanation:

900[tex]x^{3}[/tex]=460.8

      [tex]x^{3}[/tex]=0.512

        x=0.8

Answer:

b

Step-by-step explanation:

The value of image of coordinates of triangle ABC are,

A' = (4, - 4)

B' = (5 - 1)

C' = (1, - 3)

And, After dilate DEFG by a scale factor of 3 about (- 5, 5) is,

D' = (- 15, 6)

E' = (- 12, 12)

F'  = (- 6, 12)

G' = (- 9, 6)

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Reflect the triangle ABC across the line y = x

And, Dilate DEFG by a scale factor of 3 about (- 5, 5).

Now,

We know that;

The rule of reflection across the line y = x is,

(x, y) → (y, x)

Thus, The value of coordinates of triangle ABC are,

A = (- 4, 4)

B = (- 1, 5)

C = (- 3, 1)

Hence, The image of coordinates of triangle ABC are,

A' = (4, - 4)

B' = (5 - 1)

C' = (1, - 3)

And, The coordinates of DEFG are,

D = (- 5, 2)

E = (- 4, 4)

F = (- 2, 4)

G = (- 3, 2)

Hence, After dilate DEFG by a scale factor of 3 about (- 5, 5) is,

D' = (- 5x3, 2x3) = (- 15, 6)

E' = (- 4x3, 4x3) = (- 12, 12)

F' = (- 2x3, 4x3) = (- 6, 12)

G' = (- 3x3, 2x3) = (- 9, 6)

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The sum of angle in a triangle is 180°

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC.

The sum of angle A, B and C is 180 i.e A+B +C = 180°

Also a triangle is a 3 sided polygon. The sum of of angle in a polygon is( n-2)180

How do we prove that the sum of angle in a triangle is 180°?

Since triangle is 3 sided, n= 3, because n denote the number if sides

therefore the sum of angle = (n-2) 180 = (3-2)×180

= 180°

therefore the sum of angle In a triangle is 180°

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Answer:

To calculate the ending balance, we can use the following formula:

Ending Balance = Principal x (1 + Interest Rate x Time)

Given:

Principal = $7,900

Interest Rate = 1.9%

Time = 2 3/4 years

Therefore,

Ending Balance = $7,900 x (1 + 0.019 x 2.75) = $8,084.60

Answer: 8319.66994

Step-by-step explanation:

your initial x your interest all raised to your time interval.

7,900(1+.019)^2.75

There are 60 f-words that can be made using all the letters of the word "AGAIN".

To find the number of f-words that can be made using all the letters of the word "AGAIN", we need to use the concept of permutations.

There are five letters in the word "AGAIN". To find the number of f-words that can be made using all these letters, we need to find the number of permutations of these letters.

The number of permutations of a set of n elements is given by n!. However, in this case, we have two "A"s in the word "AGAIN". This means that we cannot simply use n! to calculate the number of permutations.

Instead, we need to use the formula for permutations with repeated elements, which is:

[tex]$\frac{n!}{n_1!n_2!\cdots n_k!}$$[/tex]

where n is the total number of elements, and n1, n2, ..., nk are the number of times each element is repeated.

In this case, we have two "A"s and one of each of the other letters. Therefore, we can plug in the values into the formula:

[tex]$\frac{5!}{2!1!1!1!} = \frac{120}{2} = 60$$[/tex]

This means that there are 60 f-words that can be made using all the letters of the word "AGAIN".

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Answer:

[tex](5x-1)(x+4)[/tex]

Step-by-step explanation:

Given:

[tex]5x^2 +19x-4[/tex]

Factor the expression by grouping. First, the expression needs to be rewritten as [tex]5x^2 +ax+bx-4[/tex]. To find a and b, set up a system to be solved.

[tex]a+b=19[/tex]

[tex]ab=5(-4)=-20[/tex]

Since [tex]ab[/tex] is negative, a and b have the opposite signs. Since [tex]a+b[/tex] is positive, the positive number has greater absolute value than the negative. List all such integer pairs that give product [tex]-20[/tex].

[tex]-1,20[/tex]

[tex]-2,10[/tex]

[tex]-4,5[/tex]

Calculate the sum for each pair.

[tex]-1+20=19[/tex]

[tex]-2+10=8[/tex]

[tex]-4+5=1[/tex]

The solution is the pair that gives sum [tex]19[/tex].

[tex]a=-1[/tex]

[tex]b=20[/tex]

Rewrite [tex]5x^2+19x-4[/tex] as [tex](5x^2-x)+(20x-4)[/tex].

Factor out x in the first and 4 in the second group.

[tex]x(5x-1)+4(5x-1)[/tex]

Factor out common term [tex]5x-1[/tex] by using distributive property.

[tex](5x-1)(x+4)[/tex]

Therefore, [tex](5x-1)(x+4)[/tex].

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The solution are,

angle P = 130 degrees

arc SF = 50 degrees

Angle may be mentioned as a figure which can be defined as that is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

here, we have,

from the given diagram we get,

angle P = 130 degrees because it is alternate adjacent to 130 degrees.

now, we have,

130 = 1/2(210+SF)

130 = 105+1/2SF

1/2SF = 25

arc SF = 50 degrees

Hence, The solution are,

angle P = 130 degrees

arc SF = 50 degrees

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Answer:

1286.3934 kg

Step-by-step explanation:

Convert 153% to a decimal:

153 / 100 = 1.53

Multiply 840.78 by 1.53:

840.78 * 1.53 = 1286.3934

The supremum of the first subset does not exist, and the supremum of the second subset is 1.

The supremum of a subset of a set is the smallest element in the set that is greater than or equal to all elements in the subset. In other words, it is the least upper bound of the subset.

For the first subset {x^2+11 : x∈R}, the supremum does not exist. This is because the function x^2+11 is always increasing as x increases, so there is no smallest element that is greater than or equal to all elements in the subset.

For the second subset {cosx : x∈R}, the supremum is 1. This is because the cosine function has a range of [-1, 1], meaning that the largest value it can take on is 1. Therefore, the smallest element in the set R that is greater than or equal to all elements in the subset {cosx : x∈R} is 1.

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The equation for the line that passes through the point (-1,4) and that is parallel to the line with the equation y=2 is y=4.

To find the equation for the line that passes through the point (-1,4) and that is parallel to the line with the equation y=2, we need to use the concept of slope. The slope of a line is the ratio of the vertical change to the horizontal change between any two points on the line.

The equation y=2 is a horizontal line, which means that its slope is 0. Since the line we are looking for is parallel to this line, its slope will also be 0.

Now that we know the slope, we can use the point-slope form of an equation to find the equation of the line. The point-slope form of an equation is [tex]y-y1=m(x-x1)[/tex], where m is the slope and [tex](x1,y1)[/tex] is a point on the line.

Plugging in the values we know, we get:

[tex]y-4=0(x-(-1))[/tex]

Simplifying the equation, we get:

[tex]y-4=0[/tex]

Adding 4 to both sides of the equation, we get:

[tex]y=4[/tex]

So the equation for the line that passes through the point (-1,4) and that is parallel to the line with the equation y=2 is [tex]y=4[/tex].

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The annual interest rate on Susan's savings account is 4%.

Annual interest rate, also known as annual percentage rate is the yearly interest generated by a sum that's charged to borrowers or paid to investors We can use the simple interest formula to calculate the annual interest rate which is Simple Interest = (Principal x Rate x Time)

By plugging our values, we get.

$54 = ($900 x Rate x 1.5)

Simplifying the equation:

Rate = $54 / ($900 x 1.5)

Rate = 0.04

Rate = 4%.

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The inverse of AB is B−1A−1

1. True. Every square matrix with ones down the main diagonal has an inverse, since the diagonal elements are all non-zero.
2. False. Generally, the determinant of B does not necessarily equal the determinant of A, even when B is a product of A and other matrices.
3. True. If a matrix A satisfies the equation A2=A, then its determinant is 0, since A=A2 implies detA=det(A2)=detA×detA=detA2=0.
4. True. If A and B are both invertible n×n matrices, then AB is also invertible, and the inverse of AB is B−1A−1.

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Answer:

n=10

Step-by-step explanation:

(photo linked = step-by-step)

There is no real value of n that satisfies the equation c(n,6) = c(n,4). In other words, there is no real number n such that it satisfy the given combinations.

To find the value of n that satisfies the equation c(n,6) = c(n,4), we can use the formula for combinations.

The formula for combinations, often denoted as C(n, r), calculates the number of ways to choose r items from a set of n items without regard to the order.

In this case, we have c(n, 6) and c(n, 4). The equation states that the number of ways to choose 6 items from a set of n items is equal to the number of ways to choose 4 items from the same set.

Using the formula for combinations, we can set up the equation as follows:

n! / (6!(n-6)!) = n! / (4!(n-4)!)

To solve this equation for n, we can simplify the equation by canceling out the factorials:

(n(n-1)(n-2)(n-3)(n-4)(n-5)) / (6(5)4(3)2(1)) = (n(n-1)(n-2)(n-3)) / (4(3)2(1))

By canceling out common factors and simplifying, we are left with:

(n-5) = (n-4)(n-3)

Expanding the equation, we have:

[tex]n - 5 = n^2 - 7n + 12[/tex]

Rearranging the equation and combining like terms, we get:

[tex]n^2 - 8n + 17 = 0[/tex]

At this point, we can solve the quadratic equation using factoring, the quadratic formula, or other methods. However, upon inspection, we can see that this quadratic equation does not have real solutions.

Therefore, there is no real value of n that satisfies the equation c(n,6) = c(n,4). In other words, there is no real number n such that it satisfy the given combinations.

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The solutions to the equation are x=1.25 and x=0.5. These are the values of w that make the equation true.

To solve the quadratic equation [tex]8w^(2)-14w+5=0[/tex] using the quadratic formula, we first need to identify the values of a, b, and c. In this case, a=8, b=-14, and c=5. The quadratic formula is:

[tex]x = (-b ± √(b^(2)-4ac))/(2a)[/tex]

Plugging in the values of a, b, and c, we get:

[tex]x = (-(-14) ± √((-14)^(2)-4(8)(5)))/(2(8))[/tex]

Simplifying the equation, we get:

x = (14 ± √(196-160))/16

x = (14 ± √36)/16

x = (14 ± 6)/16

Now we can solve for the two possible values of x:

x = (14+6)/16 = 20/16 = 1.25

x = (14-6)/16 = 8/16 = 0.5

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It will take 62 minutes for the printer to print 93 cards.

We are given the equation p=1.5m, where p represents the number of cards printed and m represents the time in minutes. We can use this equation to find out how many minutes it will take to print 93 cards.

First, we can substitute p=93 into the equation:

93 = 1.5m

Next, we can solve for m by dividing both sides of the equation by 1.5:

m = 93 / 1.5

m = 62

We can verify this answer by plugging in m = 62 into the original equation and checking that we get p = 93:

p = 1.5m

p = 1.5(62)

p = 93

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The complete question is:

The equation p = 1.5m represents the rate at which the printer prints cards where p represents the number of cards and m represents minutes. How many minutes will it take the printers to print 93 cards?

Answer:

Step-by-step explanation:

Answer:

[tex]f^{-1}[/tex] = [tex]\frac{x-3}{2}[/tex]

The inverse of a function is just the opposite of the function.

793 people in the country said that they like country music if 23% of the people surveyed prefer country music.

The given data is as follows:

percentage of people prefer music = 23%

People did not like country music = 2653

Let us assume make this equation has equal properties,

0.23x = people who like country music

We know that 2,653 people did not like music. We can write this equation as:

x - 0.23x = 2653

0.77x = 2653

x = 2565 / 0.77

x = 3446.75

Taking the x value approximately, we get the x value as,

x = 3447

Now we can substitute the x value in the above equation, we get,

0.23x = 0.23(3447)

= 792.81

Therefore we can conclude that 793 people in the country said that they like country music.

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Answer: true, true, false, true

Step-by-step explanation:

1 True- 2 is a prime number

2- True 2 is a prime number

3 False 2,3,5,7 can be prime numbers as well

4 True 2 is a prime number

The numbers that should be considered possible outliers from the above figure would be = 31, 87, and 90. That is option B.

An outlier is defined as the term given to an observation which lies in an abnormal distance from other values in a random sample from a population.

On the field of statistics, an outlier is also called an extreme value.

For example in the scores 25,29,2,32,86,33,27,28 both 2 and 86 are "outliers".

From the illustration given above, the values that are at the extreme that didn't enter the box plot are the outliers and they include 31,87, and 90.

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The quadratic equation f(x) = 3 · x² + 36 · x + 33 shows the quickest choice to determine the y-intercept. The y-intercept is equal to (0, 33).

In this problem we must look up for the quickest way to determine the y-intercept of a quadratic equation, this can be done by evaluating at x = 0 when the expression is of the form, that is, standard form:

f(x) = a · x² + b · x + c

Where a, b, c are real coefficients.

The standard form f(x) = 3 · x² + 36 · x + 33 may help us to determine the y-intercept quickly. The y-intercept is equal to (0, 33).

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Answer:

Step-by-step explanation:

it's -4.89279003

The true statement is 'The value 36 represents the initial water level before it began to recede.

First of all, understand the word problem,  

Given that The water level of a river recedes at a constant rate each day it implies the water level is decreasing at a constant rate. The expression 36 - 0.25x represents the water level after 'x' days.

Here we have

The expression 36 - 0.25x represents the water level after 'x' days

Let x = 0 which implies the water level is not begin to recede

Then the Initial water level = 36 - 0.25(0) = 36  

Hence, we can conclude that the initial water level is 36

Therefore,

The true statement is 'The value 36 represents the initial water level before it began to recede.

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The Complete Question is attached below

The solution is, the measure of the, inscribed angle: 30°, and,

central angle: 60°.

The solution are,

the measure of angle C is 52°

the measure of angle B is 52°

the measure of angle BSD is 71°

the measure of angle CSE is 71°

the measure of angle E is 57°

the measure of arc BC 57°.

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.

here, we have,

from the given figure, we get,

The central angle is double the inscribed angle for the same intercepted arc.

Since doubling the angle adds 30° to it,

the original inscribed angle must be 30°.

so, we get,

Then the central angle is 30°+30° = 2·30° = 60°.

The solution are,

the measure of angle C is 52°

the measure of angle B is 52°

the measure of angle BSD is 71°

the measure of angle CSE is 71°

the measure of angle E is 57°

the measure of arc BC 57°.

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