Consider: f(x) = 1/2(3)^x and g(x) = -1/2(3)^-x
How would the graph be affected from f(x) to g(x)?

Answer:

a on edge 2021

Step-by-step explanation:

We can see that the daily balance method is actually different from compounding interest daily in the following way: A. Unlike daily compound interest, the daily balance method only applies charges at the end of the month.

Compound interest is actually known as the addition of the interests to the principal. It is an accumulation of the interests gathered over a period of investment plus the principal sum.

Daily balance method refers to the daily interest that is calculated at the end of each day. It applies charges at the end of the month. This is why it is different from daily compound interest.

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Write the following in the intercept form;

To express in intercept form, we need to express the equation based on the intercept with both axes.

The equation of a line in intercept form is shown as follows;

The factorization of the expression , the factor are -2 , 1 and 5.

What is factorization?

To factorise an algebraic statement, we first identify the terms' highest common factors and then arrange the terms into groups in accordance with those groups. In plain English, factorization is the process through which an algebraic expression gets expanded in the opposite direction.

Here the given expression is,

=> \(x^3-3x^2-10x-x^2+3x+10=0\)

=> \(x^3-4x^2-7x+10=0\)

=> \(x^3-x^2-3x^2+3x-10x+10=0\)

=> \(x^2(x-1)-3x(x-1)-10(x-1)=0\)

=> \((x-1)(x^2-3x-10)=0\)

=> \((x-1)(x^2-5x+2x-10)=0\)

=>\((x-1)(x(x-5)+2(x-5))=0\)

=> \((x-1)(x-5)(x+2)=0\)

Then x-1=0 , x-5=0 and x+2=0

=> x= 1,5,-2.

Hence the factors of the expression is 1,5 and -2.

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Answer:

To calculate 2 3/4 of 500 grams, follow these steps:

1. Convert the mixed number to an improper fraction:

2 3/4 = (2 x 4 + 3)/4 = 11/4

2. Multiply the improper fraction by 500:

11/4 x 500 = (11 x 500)/4 = 2,750/4

3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:

2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2

Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.

Step-by-step explanation:

Answer:

Step-by-step explanation:

x-intercept is where the line cuts the x-axis. That is, when y=0.

Substitute y=0 and we get:

       \(0=\frac{1}{3} x-1\)

       \(1=\frac{1}{3} x\)

       \(x=3\)

So x-intercept is the point (3,0).

9514 1404 393

Answer:

  the amount Lorenzo spent on shirts and pants

Step-by-step explanation:

If s is the price of one shirt, then 3s is the price of 3 shirts.

If p is the price of a pair of pants, then 2p is the price of 2 pairs of pants.

  3s +2p is the price of 3 shirts and 2 pairs of pants

__

This is the amount of Lorenzo's purchase.

Answer:

Step-by-step explanation:

too much

Answer:

it depends on the person

Answer:

yea , we are tbh , we toxic . but we kinda lovable . we dont like large spaces . and we snakes

Step-by-step explanation:

A person would need to buy 60 square yards of carpet for a rectangular room with dimensions of 10 yards by 18 feet.

How to determine the amount of carpet needed for a rectangular room?

To determine the amount of carpet needed for a rectangular room, you need to convert the measurements to the same unit of measurement. Since the carpet is sold in square yards, we need to convert the dimensions of the room to yards.

The length of the room is given in yards, so we don't need to make any conversions for that dimension. However, the width of the room is given in feet, so we need to convert it to yards by dividing by 3 (since there are 3 feet in a yard),

18 feet ÷ 3 feet/yard = 6 yards

So the dimensions of the room in yards are 10 yards by 6 yards.

To find the total area of the room, we need to multiply the length and width,

10 yards × 6 yards = 60 square yards

Therefore, a person would need to buy 60 square yards of carpet for a rectangular room with dimensions of 10 yards by 18 feet.

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Answer:

A relation is a function if x values never repeat, so every input will only have one output. If the function is graphed you can do the vertical line test, a relation passes if you can draw a vertical line anywhere on the graph and it only intersects with the relation once.

The amount invested at 3% is $400, the amount invested at 4% is $700, and the amount invested at 5% is $1000.

Let's assume the amount invested at 4% is x dollars.

According to the given information, the amount invested at 5% is $1000 more than the amount invested at 4%.

So, the amount invested at 5% is (x + $1000).

The total amount invested is the sum of the amounts invested at each rate, which is $2100.

Therefore, we can write the equation:

x + (x + $1000) + (amount invested at 3%) = $2100

Now, we can calculate the amount invested at 3%.

We subtract the sum of the amounts invested at 4% and 5% from the total investment:

(amount invested at 3%) = $2100 - (x + x + $1000) = $2100 - (2x + $1000)

Given that Elena receives $95 per year in simple interest from the investments, we can use the formula for simple interest:

Simple Interest = Principal × Interest Rate

The interest earned from the investment at 3% is (amount invested at 3%) × 0.03, the interest earned from the investment at 4% is (amount invested at 4%) × 0.04, and the interest earned from the investment at 5% is (amount invested at 5%) × 0.05.

According to the problem, the total interest earned is $95.

So we can write the equation:

(amount invested at 3%) × 0.03 + (amount invested at 4%) × 0.04 + (amount invested at 5%) × 0.05 = $95

Now we can substitute the expression for (amount invested at 3%) and solve for x.

Once we have the value of x, we can calculate the amounts invested at 3%, 4%, and 5% using the given information.

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Answer:

This amount will be reached in 1 year and 2 months, that is, in 14 months.

Step-by-step explanation:

Given that 1 paisa is 1 cent of a rupee, at an increase of 2 paisa per rupee per month we are talking about an interest of 2% per month, which annualized is equal to 24% per year (12 x 2).

Thus, given that the initial amount is Rs $ 4800, to determine the period of time in which said interest will take the amount to Rs $ 5760 it is necessary to perform the following calculation:

4800 x 1.02 x X = 5760

4896 x X = 5760

X = 5760/4896

X = 1.17

Thus, this amount will be reached in 1.17 years, with which to calculate the number of months the following calculation must be performed:

1 = 12

0.17 = X

0.17 x 12 = X

2 = X

Thus, this amount will be reached in 1 year and 2 months, that is, in 14 months.

Answer:

\(\displaystyle \frac{\pi(5e^4+8e^2-1)}{2e^4}\approx9.526\)

Step-by-step explanation:

This can be solved with either the washer (easier) or the shell method (harder). For the disk/washer method, the slice is perpendicular to the axis of revolution, whereas, for the shell method, the slice is parallel to the axis of revolution.  I'll show how to do it with both:

Shell Method (Horizontal Axis)

\(\displaystyle V=2\pi\int^d_cr(y)h(y)\,dy\)

Radius: \(r(y)=2-y\) (distance from y=2 to x-axis)

Height: \(h(y)=2-(-\ln y)=2+\ln y\) (\(y=e^{-x}\) is the same as \(x=-\ln y\))

Bounds: \([c,d]=[e^{-2},1]\) (plugging x-bounds in gets you this)

Plugging in our integral, we get:

\(\displaystyle V=2\pi\int^1_{e^{-2}}(2-y)(2+\ln y)\,dy=\frac{\pi(5e^4+8e^2-1)}{2e^4}\approx9.526\)

Washer Method (Parallel to x-axis)

\(\displaystyle V=\pi\int^b_a\biggr(R(x)^2-r(x)^2\biggr)\,dx\)

Outer Radius: \(R(x)=2-e^{-x}\) (distance between \(y=2\) and \(y=e^{-x}\))

Inner Radius: \(r(x)=2-1=1\) (distance between \(y=2\) and \(y=1\))

Bounds: \([a,b]=[0,2]\)

Plugging in our integral, we get:

\(\displaystyle V=\pi\int^2_0\biggr((2-e^{-x})^2-1^2\biggr)\,dx\\\\V=\pi\int^2_0\biggr((4-4e^{-x}+e^{-2x})-1\biggr)\,dx\\\\V=\pi\int^2_0(3-4e^{-x}+e^{-2x})\,dx\\\\V=\pi\biggr(3x+4e^{-x}-\frac{1}{2}e^{-2x}\biggr)\biggr|^2_0\\\\V=\pi\biggr[\biggr(3(2)+4e^{-2}-\frac{1}{2}e^{-2(2)}\biggr)-\biggr(3(0)+4e^{-0}-\frac{1}{2}e^{-2(0)}\biggr)\biggr]\\\\V=\pi\biggr[\biggr(6+4e^{-2}-\frac{1}{2}e^{-4}\biggr)-\biggr(4-\frac{1}{2}\biggr)\biggr]\)

\(\displaystyle V=\pi\biggr[\biggr(6+4e^{-2}-\frac{1}{2}e^{-4}\biggr)-\frac{7}{2}\biggr]\\\\V=\pi\biggr(\frac{5}{2}+4e^{-2}-\frac{1}{2}e^{-4}\biggr)\\\\V=\pi\biggr(\frac{5}{2}+\frac{4}{e^2}-\frac{1}{2e^4}\biggr)\\\\V=\pi\biggr(\frac{5e^4}{2e^4}+\frac{8e^2}{2e^4}-\frac{1}{2e^4}\biggr)\\\\V=\pi\biggr(\frac{5e^4+8e^2-1}{2e^4}\biggr)\\\\V=\frac{\pi(5e^4+8e^2-1)}{2e^4}\approx9.526\)

Use your best judgment when deciding on what method you use when visualizing the solid, but I hope this helped!

Answer: 24

Step-by-step explanation:

24/3=8

Answer:

  C) The graph of g(x) opens downward and is shifted to the right 6 and up 3 units.

Step-by-step explanation:

You want to know what transformations are needed to form g(x) = –(x – 6)² + 3 from f(x) = x².

The function transformations we are typically concerned with are ...

Each of these has a recognizable influence on the function.

Translation by 'h' units to the right and 'k' units up transforms the function to ...

  g(x) = f(x -h) +k

Expanding a graph horizontally by a factor of p and vertically by a factor of q transforms the function to ...

  g(x) = q·f(x/p)

Reflecting a graph horizontally across the y-axis replaces x with -x.

Reflecting a graph vertically across the x-axis replaces f(x) with -f(x).

Comparing g(x) = -(x -6)² +3 to the original f(x) = x², we see that ...

This means the graph was shifted right 6 units and up 3 units. The graph was reflected across the x-axis, so the curve opens downward.

Option c, The graph of g(x) opens downward and is shifted to the right 6 and up 3 units. is the correct answer.

What is graph?

In the field of mathematics, a graph is a representation (visual) or diagram that shows the facts or values in an ordered and systematic way.

The relationships between two or more items are frequently represented by the points on a graph.

As given in the question,

\(f(x)=x^2\) and \(g(x)= -(x-6)^2 + 3\)

Since, \(f(x) = x^2\)  we are applying the following three rigid transformations on f(x) to obtain g(x):

Therefore, The graph of g(x) opens downward and is shifted to the right 6 and up 3 units.

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Answer:

5/18, 13/18

Step-by-step explanation:

The basic probability of anything is Specific Outcome / Total Outcomes

The specific outcome here is pulling a purple marble. We see there are 5 purple marbles therefore there are 5 ways to get them. The total outcomes are the total number of marbles which is 18. Therefore, the answer is 5/18

The complement of a probability is 1 minus the original probability, so, it would be 1 - 5/18 here getting us 13/18 as the answer.

Answer:

expanded notation form

5

+0.6

+0.02

+0.005

expanded factor form

5×1

+6×0.1

+2×0.01

+5×0.001

dont know which one you need, but there. hope this helps.

Step-by-step explanation:

x - 3y = 2

x=2+3y.....(1)

2x - 6y = 6

2(2+3y)-6y=6

it is not measurable.

Answer:

X = 19/24

Step-by-step explanation:

Move the constant: 4x = 5/3 + 3/2

Add The Fractions: 5/3 + 3/2 = 19/6

Divide Both sides by 4: 4x/4 = 0. 19/6 ÷ 4 = 19/24

Answer:

The measure of Angle 6 would be 123 degrees.

Step-by-step explanation:

Since A and B are parallel, then Angle 1 and Angle 5 are the same angle. And a straight line is 180 degrees. This means that you would do 180-57, which is 123 degrees.

Answer:

2/8, 3/12, 4/24, 5/20, 6/24, 7/28, 8/32, 9/36, 10/40, etc.

Step-by-step explanation:

Answer:

40

Step-by-step explanation

Answer:

40

Step-by-step explanation:

got it right on edge

Answer:

5/9

Step-by-step explanation:

Step 1:

15 + 12

Step 2:

27

Step 3:

15/27

Step 4:

15/27 = 5/9

Answer:

5/9

Hope This Helps :)

Answer:

The answer is 35 plants.

Step-by-step explanation:

The ratio of tomato plant to that of pepper plant = 2:5

Let x be the number of pepper plants for 14 tomato plants.

Now, according to the question:

2:5 = 14:x

14×5 = 2x

x = 70/2 = 35 plants.

Answer:

35 peppers

Step-by-step explanation:

Use cross multiplication

2 tomatoes/5 peppers = 14 tomatoes/x peppers

x peppers = (5*14) / 2 = 35

The dimensions of the room are approximately 7 meters by 10.5 meters.

In Mathematics, dimensions are referred to as measures of size such as length, width, and height of an object or a shape. A rectangle has length and width as its dimensions that define the area of a rectangle.

Let's start by using algebra to represent the information given in the problem. Let x be the width of the rectangular room, then the length is 1.5 times the width or 1.5x.

The perimeter of a rectangle is the sum of the lengths of all its sides, which can be expressed as:

\(\text{Perimeter} = 2(\text{length} + \text{width})\)

Substituting the values we have for length and width, we get:

\(\rightarrow35 = 2(1.5\text{x} + \text{x})\)

Simplifying the equation, we get:

\(\rightarrow35 = 2(2.5\text{x})\)

\(\rightarrow35 = 5\text{x}\)

\(\rightarrow\text{x}=\dfrac{35}{5}\)

\(\rightarrow\bold{x\thickapprox7}\)

So the width of the room is 7 meters.

To find the length, we can substitute x into the expression we have for the length:

\(\rightarrow\text{Length} = 1.5\text{x}\)

\(\rightarrow\text{Length} = 1.5(7)\)

\(\rightarrow\bold{Length=10.5}\)

So the length of the room is 10.5 meters.

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Answer:

25 hours

Step-by-step explanation:

It takes 5 men 45 hours to build a wall.

So, if no. of men increases by 1.8 [∴ 5 x 1.8 = 9],

then time taken reduces by that same amount.

=> 45 hours / 1.8

=> 45 / (9/5)

=> 45 x 5 / 9

=> 5 x 5

=> 25 hours

This set {σ ∈ S4 : σ(1) = 3} contains the following elements of S4: (13), (23), (34), (24), (14), (12)(34), (13)(24), (14)(23) and  {σ ∈ S4 : σ(2) = 2} this set contains the following elements of S4: (12), (21), (13)(24), (24)(13).

The group S4 is the symmetric group on 4 elements and has 24 elements. We can list all of its subgroups as follows:

Now, let's consider the sets (a) and (b) and see if they are subgroups of S4:

(a) {σ ∈ S4 : σ(1) = 3}

This set contains the following elements of S4: (13), (23), (34), (24), (14), (12)(34), (13)(24), (14)(23). We can check that this set is not a subgroup of S4 because it is not closed under composition. For example, (13)(14) = (134) is not in the set.

(b) {σ ∈ S4 : σ(2) = 2}

This set contains the following elements of S4: (12), (21), (13)(24), (24)(13). We can check that this set is a subgroup of S4. It is closed under composition, inverses, and contains the identity element e. Therefore, it is a subgroup of S4 and is isomorphic to the cyclic group of order 2.

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Answer:

I think it is $0.50 per pound

Step-by-step explanation:

Hope this helps

Answer:

Standard deviation= 4.46

B) 4.89 is the nearest answer

Step-by-step explanation:

Standard deviation √variance

Variance= (summation (x-mean)²)/n

Mean= summation of numbers/total

Mean =( 12+13+ 7+5+15 18)/6

Mean= 70/6

Mean= 11.67

Variance=(( 12-11.67)²+(13-11.67)²+ (7-11.67)²+(5-11.67)²+(15-11.67)²+ (18-11.67)²)/6

Variance= (0.1089+1.7689+21.8089+44.4889+11.0889+40.0689)/6

Variance= 119.3334/6

Variance= 19.8889

Standard deviation= √variance

Standard deviation= √19.8889

Standard deviation= 4.46