what does the transformation of 1/4f(x) do to the graph f(x)a) shrinks it horizontallyb) stretches it horizontally

The augmented matrix corresponding to the system of equations in this problem is given as follows:

[-6 -5 -4 7].

[7 -9 -1 -7].

[-9 -3 -6 7].

The first row is constructed according to the coefficients of the first equation, hence it is given as follows:

[-6 -5 -4 7].

The second row is constructed according to the coefficients of the second equation, hence it is given as follows:

[7 -9 -1 -7].

The third row is constructed according to the coefficients of the third equation, hence it is given as follows:

[-9 -3 -6 7].

Hence the matrix is given as follows:

[-6 -5 -4 7].

[7 -9 -1 -7].

[-9 -3 -6 7].

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9514 1404 393

Answer:

     y: 0, 6, 12, 18, 24

Step-by-step explanation:

Put the value of x in the equation and do the arithmetic.

For x = -1,

  y = 6(-1) +6

  y = -6 +6 = 0

For x = 0,

  y = 6(0) +6

  y = 0 +6 = 6

If you're paying attention, you can see that increasing x by 1 will make the value of y go up by 6. We can see the values of x increase by 1 from each to the next. This means the y numbers on the bottom row increase by 6 from each to the next:

  x: -1, 0, 1, 2, 3

  y: 0, 6, 12, 18, 24

9514 1404 393

Answer:

  3 feet

Step-by-step explanation:

The equation with all the parameters filled in is ...

  f(t) = -16t² +8t +2

The maximum height occurs at the vertex of the function, which can be written in vertex form as ...

  f(t) = -16(t² -1/2t) +2

  f(t) = -16(t² -1/2t +1/16) +2 +16(1/16)

  f(t) = -16(x -1/4)² +3

The vertex of the graph is (1/4, 3), so the maximum height is 3 feet.

4/5 is a real number.

A real number is a value in mathematics that expresses a quantity along a continuous line. Real numbers can be expressed as fractions or decimals and can be positive, negative, or zero.

4/5 is a rational number in this situation, which is a form of real number that may be written as a ratio of two integers. A real number can also be irrational, which means that it cannot be stated as a ratio of two integers and that its decimal representation goes on indefinitely without repeating.

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Answer:

B

Step-by-step explanation:

V = area of base * hight ; consider the base the triangle

V= (b*h of triangle /2 ) * h of figure

V= (6*8/2)*13 = 312 cm³

1. The possible amounts of time for which the chemistry club could rent the meeting room are 1 to 5 hours.

2. Solving the inequality for t is 39 + 6.80t ≤ 73, where the maximum time is 5 hours.

Inequality is a mathematical statement that two or more mathematical expressions are unequal.

Inequalities are depicted using the following symbols:

The total budget of the chemistry club for renting a meeting room = $73.60

The reservation fee charged by the college = $39

The additional fee (variable cost) per hour = $6.80

The number of hours the club can rent the meeting room = t

The inequality representing the situation is:

39 + 6.80t ≤ 73.

39 + 6.80t ≤ 73

6.8t ≤ 73 - 39

6.8t ≤ 34

t ≤ 5 (34/6.8)

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Alex spend $1507.92 in total to buy this stock at 3% charges on each shares.

Shares represent equity ownership in a corporation or financial asset, owned by investors who exchange capital in return for these units.

Alex buys 30 shares of Walmart at the close price of $48.80.

His broker charges him 3% of each share.

Purchasing of 30 shares =48.80 *30

                                         =$1464

Now we have to find the 3% of total purchasing of shares.

So,

Broker's fees =\(\frac{3}{100}*1464\)

                      = 0.03 * 1464

                      = 43.92

So, total cost of stock= 1464+43.92

                                   = 1507.92

Hence, Alex spend $1507.92 in total to buy this stock.

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Answer:

B. 15.

Step-by-step explanation:

In order to get this answer, we just need to substitute the value of x in the formula and calculate the answer. Let's rewrite the expression with the substituions:

4((5)+5) ((5)+1) / ((5)+3) ((5)-3) = (40) (6) / (8) (2)= 240/16= 15.

Answer:

a

Step-by-step explanation:

bece u sr gģ v vyvy bleh gm have g GMV Espanola unmet yucky nvm i gifted go by Grau Cinco

The net present value of the project is $0.15 million.

Net present value is the present value of after-tax cash flows from an investment less the amount invested.

hee, we have,

The first step is to determine the cash flow of the project.

Cash flow = (sales - cost - depreciation) × (1 - tax) + depreciation

Depreciation = (cost of the asset ) / useful life

Depreciation = $2.18 million / 3

Depreciation = 0.727 million

Cash flow = (1.645 -  0.61 - 0.727) x (1 - 0.21) + 0.727 = $0.97 million

Net present value = -2.18 million + 0.97 / 1.12 +  0.97 / 1.12² +  0.97 / 1.12³

= $0.15 million

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Answer: 20% error

Step-by-step explanation:

Vobserved - Vtrue

Vtrue

=  

12 - 15

15

=  

-3

15

=  -20%

=  20% error

The amount of sugar and water that she will need to make lemonade with the same ratio of ingredients as the recipe is: Sugar 3/4 cup, Water 3 cup.  

Ratio=Lemon juice: Sugar: Water=1:2:8

Table spoons sugar needed=6×2=12

Table spoons water needed=6×8=48

Since 1 cup equals 16 tablespoons

Hence,

Sugar

12 tablespoons=1/16×12 cup

12 tablespoons=3/4 cup

Water

48 tablespoons=1/16×48

48 tablespoons=3 cups

Therefore the amount of sugar and water that she will need to make lemonade with the same ratio of ingredients as the recipe is: Sugar 3/4 cup, Water 3 cup.  

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Answer: To express the reduction as a rate of kobo in naira, we need to calculate the difference between the original price and the new price, and then convert that difference to kobo.

The original price was 5 naira, which is the same as 500 kobo (since 1 naira = 100 kobo). The new price is 4 naira and 20 kobo, which is the same as 420 kobo.

The reduction in price is the difference between the original price and the new price:

500 kobo - 420 kobo = 80 kobo

So the reduction in price is 80 kobo.

To express the reduction as a rate of kobo in naira, we need to divide the reduction (in kobo) by the original price (in naira) and then multiply by 100 to get a percentage:

(reduction in kobo / original price in naira) x 100

Substituting the values we have:

(80 kobo / 500 kobo) x 100 = 16%

Therefore, the reduction in price is 16% expressed as a rate of kobo in naira.

Answer:

Step-by-step explanation:

The constant percent rate of change in the case of a deposit of $400 into a savings account is compounded annually.  

With an example, what is compound interest?

When you add the interest you have already earned back into your principal balance, you are earning compound interest, which increases your profits.

Consider that you have $1,000 in a savings account earning 5% interest annually. If you made $50 in the first year, your new balance would be $1,050.

Principal - $400

rate of interest is compounded annually

g(x) =  400( 1.03)ˣ equation 1.

Formula used

A = P( 1 + r )ⁿ

here n = x

Solution:

Putting the value of n, and principal in the formula

A = P( 1 + r )ⁿ ................... equation 2

now comparing both equation 1 and equation 2,

400( 1.05)ˣ =  400( 1 + r )ˣ

( 1.05)ˣ = ( 1 + r  )ˣ

1.05 = 1 + r

r = 1.05 - 1

r = 0.05

r % = 0.05 × 100

r % = 5 %

thus, the constant percent rate of change =  5 %

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Answer:

1. x + 34

2. 2x - 12

3. x - 16

4. x + 45

5. 23 - x

6. 6(x - 7)

7. 78 - 4x

8. 4x + 10

9. 3x + 2

10. x(13 - x)

Step-by-step explanation:

For problems like this in the future, pay attention to the order of words, and how they go together! For example- "the difference of 23 and a number" means to subtract a number from 23, whereas "the difference of a number and 23" would mean to subtract 23 from the number. Words like "increase" and "sum" both mean addition; "product" and "times" both mean multiplication; "difference" and "less" mean subtraction. Just keep these in mind (and watch for context)!

I hope this helped! :)

Answer:

-4.714

Step-by-step explanation:

Answer:

1 (if the 3 3/7 is positive)

or

-4 5/7 (if the 3 3/7 negative)

The slope and y-intercept of the graph of the function y = 8x + 2 are 8 and 2 respectively.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical expression;

y = mx + c

Where:

Based on the information provided about the graph of this function, it can be modeled by this linear equation:

y = mx + c

y = 8x + 2

By comparison, we have the following:

mx = 8x

m = 8

Slope, m = 8.

y-intercept, c = 2.

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The coordinates of the vertex of the parabola are (3, -7). The focus of the parabola is located at (3, -3). The equation of the directrix is y = -11.

The given equation of the parabola is in the form (x - h)^2 = 4p(y - k), where (h, k) represents the vertex and p represents the distance between the vertex and the focus/directrix.

Comparing the given equation with the standard form, we can see that the vertex is at (3, -7).

The coefficient 4p in this case is 16, so p = 4. Since the parabola opens upward, the focus will be p units above the vertex. Therefore, the focus is located at (3, -7 + 4) = (3, -3).

To find the directrix, we need to consider the distance p below the vertex. Since the parabola opens upward, the directrix will be p units below the vertex. Hence, the equation of the directrix is y = -7 - 4 = -11.

In summary, the coordinates of the vertex are (3, -7), the focus is located at (3, -3), and the equation of the directrix is y = -11.

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Answer:

3,268,584

Step-by-step explanation:

1^12 is 1

Subtract starting population from current one:

6.34 - 1.9 = 4.44

The population increased by 4.44 million.

The number 100 would land in column 2

Given that we have the array of numbers

The length of each row in the array is 7

Dividing 100 by 7, we have

100/7 = 14 Remainder 2

This means that

Column = 2

In (a), we have

100/7 = 14 Remainder 2

This means that

Row = 14

Here, we have

The length of each row in the array is 6

Dividing 100 by 6, we have

100/6 = 16 Remainder 3

So, the location of 100 in rows of 6 numbers is row 16 and column 3

Let the length of each row in the array be n

Dividing 100 by n, we have

100/n = q Remainder r

This means that the location of 100 in rows of n numbers is row q and column r

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Answer:

\(a(1) = 144\)

\(a(n) = 144{( - \frac{1}{6} )}^{n - 1} \)

\(a(n) = - \frac{1}{6} a(n - 1)\)

Answer:5-y x 9

Step-by-step explanation: 5-y times 9

Answer:

9 × 5-y maybe bc times means multiply and difference means subtract but sorry if u get it wrong

Answer:

Step-by-step explanation:

A table with a round top is cut in half so that it can be used against a wall. After it is cut, the edge along the wall is 6 feet. What is the area of the table after it is cut in half ? Give your answer in terms of pi.

Given:

Find:

Explanation:

Find the area of the semicircle table:

Answer:

1,260

Step-by-step explanation:

This is if you subtract those numbers up you would get 1,260

Answer:

Step-by-step explanation:

1 )

\(\frac{2}{5}( \frac{5x}{4} - \frac{10}{3})-\frac{4x}{3} \\\frac{x}{2} - \frac{4}{3} - \frac{4x}{3}\\ \frac{-5x}{6}-\frac{4}{3}\)

2 )

\(\frac{17x}{8}+\frac{3x}{4}+\frac{1}{6}-\frac{7x}{12}+\frac{17}{3}\\ \frac{51x}{24}+\frac{18x}{24}-\frac{14x}{24}+\frac{35}{6}\\\frac{55x}{24}+\frac{35}{6}\)

The measure of the angle A is 70 degrees if the DR is the tangent to the circle option (A) 70 degrees is correct.

It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

It is given that:

Join the points B and O and then join points D and O

Angle A = (1/2)Angle BOD

Angle B = 140 degrees

Angle A = (1/2)140 degrees

Angle A = 70 degrees

Thus, the measure of the angle A is 70 degrees if the DR is the tangent to the circle option (A) 70 degrees is correct.

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Answer:

c on edge2021

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

this means that 5x+7=27

subtract 7 from both sides

5x=20

x=4