algebra 2 pls help lol

Answers

Answer 1

Answer:

right -2down 2reflected in the y-axiscompressed by a factor of 1/2

Step-by-step explanation:

The order of the transformations affects the values used for translation. Here, the translation is described before the reflection and compression.

reflection

The grayed-out graph of the square root function opens to the right. The darker graph of the transformed function opens to the left, so the reflection is across the y-axis.

compression

The square root function goes through the point (1, 1), that is, 1 unit right of the vertex, and 1 unit up. The transformed function goes through the point (1, -1/2), that is, 1 unit left of the vertex and 1/2 unit up. The vertical height of 1 unit on the original graph is compressed to a height of 1/2 unit on the transformed graph. Vertical compression is by a factor of 1/2.

translation

The description of the transformation gives the translation before the reflection and compression. So, to find where the uncompressed and unreflected vertex is, we need to reverse those transformations.

Expanding the transformed square root graph by a factor of 2 will undo its compression by a factor of 1/2. That will move the vertex from (2, -1) to (2, 2×(-1)) = (2, -2).

Reflecting this expanded function back across the y-axis will undo the original reflection. That moves the vertex from (2, -2) to (-2, -2). This is where the original translation left the function's vertex before the reflection and compression moved it to the location shown.

The translation is right -2 and down 2.

_____

Additional comment

It is possible that you will get pushback on these answers. If so, you should have your teacher demonstrate the transformations in the order described.

In the order described, we have ...

[tex]f(x)=\sqrt{x}\\\\f_1(x)=\sqrt{x-(-2)}=\sqrt{x+2}\qquad\text{translation right -2}\\\\f_2(x)=\sqrt{x+2}-2\qquad\text{translation down 2}\\\\f_3(x)=\sqrt{-x+2}-2\qquad\text{reflection in the y-axis}\\\\g(x)=\dfrac{1}{2}(\sqrt{-x+2}-2)\qquad\text{compression vertically by $\dfrac{1}{2}$}[/tex]

The attached graph shows the result of this sequence of transformations.

If the reflection and compression were done before the translation, then the translation would be 2 right and 1 down.

Related Questions

Donna is making a cookie recipe that calls for 1 ¾ cups of sugar. However, when she

goes to take out the measuring cups she can only find the one-half cup measuring cup. How many one-half cups will she need to fill to get the correct amount of sugar for her cookie recipe?

Answers

Answer:

3 and 1/2 half-cups

Step-by-step explanation:

We are asked to find the number of half-cups that will equal 1 3/4 cups.

Let the desired number be represented by n. Then we require ...

n × 1/2 = 1 3/4 . . . . some number of 1/2-cups will give 1 3/4 cups

Using a common denominator, we have ...

n × 2/4 = 7/4

Multiplying by the inverse of the coefficient of n gives ...

n × 2/4 × 4/2 = 7/4 × 4/2

n = 7/2 = 3 1/2 . . . . . simplify

That is, Donna can measure 1 3/4 cups of sugar by using her 1/2-cup measure 3 times, and filling it half-full for the final 1/4 cup she needs.

She needs 3 1/2 half-cups to get the correct amount.

Through a regular hexagon whose base edge is 8cm and whose height ii 12cma hole in the shape of the right prism with ots end being rhombus with diagonals of 6cm and 8cm is drilled find the total surface area and volume of the remaining soild?

Answers

The total surface area of the remaining solid is 48(4+✓3) centimeters square.

How to calculate the surface area?

Through a regular hexagonal prism whose base edge is 8 cm and the height is 12 cm, a hole in the shape of a right prism.

The formula for the total surface area will be:

= Total surface area=2(area of the base)+ parameter of base × height

where,

Height= 8cm

Parameter of base=12(2) = 24

Area of the base= 6×✓3/4×4² = 64✓3/4

The surface area of the remaining solid will be:

= 2(64✓3/4) + 24 × 8

= 2(64✓3/4 + 192

With the hole is a rhombus prism with the following parameters:

diagonal 1 = 6, diagonal 2 = 8, height = 12

The volume is:

V1 =0.5 × d1 × d2 × h

V1 = 0.5 × 6 × 8 × 12

V1 = 96

The dimensions of the hexagonal prism are:

Base edge (a) = 8

Height (h) = 12

The volume is

V2 = (3✓(3)/2)a²h

V2 = (3✓3)/2) × 8² × 12

V2 = 1152✓3

The remaining volume is

V = V2 -V1

V = 1152✓3 - 96

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Please help
Francine has a picture with a length its width. She wants to enlarge the picture to have an area of 375 in2. What will the dimensions of the enlarged picture be? Model the scenario and solve. Then, explain in at least one sentence your solution and include the reasonableness of your solution.

Answers

Answer:

25 in x 15 in

Step-by-step explanation:

Given:

Length = 3/5 the widthArea = 375 in²

Let width = [tex]x[/tex]

Therefore, length = 3/5 [tex]x[/tex]

First create an equation for the area of the picture based on the given information for its width and length:

[tex]\begin{aligned} \implies \textsf{Area of original picture} & = \sf width \times length\\& = x\left(\dfrac{3}{5}x\right)\\& = \dfrac{3}{5}x^2\end{aligned}[/tex]

We are told the area of the enlarged picture is 375 in². Therefore, substitute this into the equation and solve for [tex]x[/tex] to find the width of the enlarged picture:

[tex]\begin{aligned}\textsf{Area} & = 375\\ \implies \dfrac{3}{5}x^2 & = 375\\ x^2 & =375 \cdot \dfrac{5}{3}\\ x^2 & =625\\ x & = \sqrt{625}\\ x& = 25\end{aligned}[/tex]

Therefore, the width of the enlarged picture is 25 in.

Substitute the found value of [tex]x[/tex] into the expression for length to find the length of the enlarged picture:

[tex]\begin{aligned}\sf Length & = \dfrac{3}{5}x\\\\\implies \sf Length & = \dfrac{3}{5}(25)\\\\& = 15\: \sf in\end{aligned}[/tex]

Therefore, the dimensions of the enlarged picture are 25 in x 15 in. The width is 25 in and the length is 15 in, as the length is 3/5 of the width.

Answer:

correct

Step-by-step explanation:

4.5:2.25 in n:1 how would i solve this

Answers

The required ratio is 2:1.

We have given that,

4.5:2.25

Since we have given that

We need to find the ratio in the form of n:1.

What is the ratio?

A ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six. Similarly, the ratio of lemons to oranges is 6:8 and the ratio of oranges to the total amount of fruit is 8:14.

so, it becomes,

[tex]=\frac{4.5}{2.25}:1\\\\=2:1[/tex]

Hence, the required ratio is 2:1.

Express the ratio in the simple form

4.5:3 1/2.

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What figure is graphed from the following points? Graph the figure. (0, 2) (2, 7) (4, 2) (6, 7)

Answers

Answer:

Rhombus

Step-by-step explanation:

The first and third points have the same y-coordinate along with the second and fourth. None have the same x-coordinate. This figure has two sets of parallel sides but no right angles.

Find the width of the rectangle shown with an area of 18 mm2 and a length of 6 mm.

Answers

Given:
Area = 18
Length = 8
Width = ?

Area = length * width
(Substitute the values)
18 = 6 * width
Width = 18 / 6
Width = 3mm
Therefore, width of the rectangle is 3mm

To check if the answer is correct
Area = length * width
Area = 6 * 3
Area = 18 mm2

On Monday the temperature was -7 degrees Fahrenheit in Akron Ohio on Tuesday the temperature was colder than Monday what is a possible temperature in degrees Fahrenheit for Tuesday

Answers

the degrees Fahrenheit is -9

solve
[tex] \frac{2x - 3}{4} = 3x[/tex]
with working out pls

Answers

[tex]~~~~~~\dfrac{2x-3}{4} = 3x\\\\\implies 2x-3 = (3x)(4)\\\\\implies 2x -3 = 12x \\\\\implies 12x -2x = -3\\\\\implies 10x = -3\\\\\implies x = -\dfrac{3}{10}[/tex]

Answer:

x = -3/10

Step-by-step explanation:

Given :

[tex]\frac{2x-3}{4} = 3x[/tex]

============================================================

Multiply both sides with 4 :

⇒ [tex]4 \times \frac{2x-3}{4} = 4 \times 3x[/tex]

⇒ 2x - 3 = 12x

============================================================

Subtract 2x from both sides :

⇒ 2x - 3 - 2x = 12x - 2x

⇒ -3 = 10x

⇒ x = -3/10

Given the following exponential function, identify whether the change represents
growth or decay, and determine the percentage rate of increase or decrease.
y = 4200 (1.07)

Answers

For the given exponential function there will be an exponential growth of 7%.

What is a function?

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

we have

[tex]f(x) = 4200(1.07)^x[/tex]

This is an exponential function of the form

[tex]f(x)=ab^x[/tex]

where

a - is the initial value

b - is the base

If b > 1 ----> is a exponential growth

0 < b < 1 ----> is a exponential decay

r is the per cent rate

b = 1 + r

In this problem we have

a = 4200

b = 1.07

We can see that 1.07 > 1 -----> is a exponential growth

Find out the per cent rate

b = 1 + r

r = 1.07 - 1

r = 0.07

r = 7 x 100 = 7%

Therefore the given exponential function there will be an exponential growth of 7%.

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Please help I don't Understand!

Answers

Answer: SAS similarity theorem

Proportional relationship:

[tex]\sf \dfrac{AB}{AC} = \dfrac{AM}{AN}[/tex]

insert values

[tex]\rightarrow \sf \dfrac{21+9}{14+6} = \dfrac{21}{14}[/tex]

simplify

[tex]\rightarrow \sf 1 = 1[/tex]

L.H.S = R.H.S

The triangles are congruent and follows the rule SAS similarity theorem.

The triangles has/starts from the same angle, corner (A).

use the probability model listing all 6 possible outcomes when rolling a six-sided number cube. what is the probability of rolling 5 or greater

Answers

Answer:

The probability of it rolling 5 or above is 45%

Step-by-step explanation:

I have passed the test of it

Find the measure of center:
1, 2, 3, 4, 5, 6, 7

Answers

Answer:

Mean: 4

Median : 4

Mode: 1, 2, 3, 4, 5, 6, 7

Step-by-step explanation:

Measure of center is:

Mean: Average

Median: Middle number

Mode: Often number

Mean: Add all number then divide by the total number in data set.

1 + 2 + 3 + 4 + 5 + 6 + 7 = 28

28/7 = 4

Median: Middle number

1,2,3,4,5,6,7

Mode: most often number

1,2,3,4,5,6,7

Kavinsky

Answer:

(a)no mode

(b)mean= 4

(c)median= 4

Step-by-step explanation:

the measure of centre are the mode, mean and median

mode: this is the heighest occuring number or the number with the heighest frequency.

mean: this is the average number. it's obtained by adding the data values in a set of numbers and dividing the sum by the number of data items.

meadian: this is the middle number when the data is ordered or when the data is arranged in ascending or descending order.

from the data,

mode: no number occured more than the other. therefore, there is no mode

mean = 1+2+3+4+5+6+7 = 28/7= 4

median= 1,2,3,4,5,6,7

the middle numbers is 4

a fruit vendor bought 75 Kg of bananas she gave 10kg of the bananas to a poor family she sold the remainder at $28 per kg if she make a loss of $55 on the transaction calculate the cost price of the bananas

Answers

Answer:

$25

Step-by-step explanation:

the fruit vendor sold 75-10 = 65 kg of bananas. 65*28 = 1820 dollars. so the fruit vendor earned 1820 dollars.

since she lost 55 dollars, 75 * cost = 1875, divide by 75 to get cost = 25

can i have help with this

Answers

Answer:

6^a+v

Step-by-step explanation:

a^m * a^n = a^(m+n)

so, 6^a * 6^v = 6^a+v

Answer:

[tex] {6}^{a+v} [/tex]

Step-by-step explanation:

We want to find the value of

[tex]{6}^{a} \times 6 ^{v} [/tex]

We can do so by using basic exponent laws.

Multiplying exponents with the same base law:

(note that the base is the number under the exponent, in this case both bases have a value of 6 so we use this law)

[tex]a ^{m} \times {a}^{n} = {a}^{m+n} [/tex]

Explanation of law : We simply keep the bases the same and add the exponents.

Applying this law to 6^a * 6^v

We acquire

6^a * 6^v

==> keep the bases the same and add the exponents

6^a+v

What table represents a linear function

Answers

Considering the constant rate of change, it is found that table 1 represents a linear function.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

From the concept of the slope, we have that the rate of change of a linear function is constant, that is, when x changes by 1, y has to change always by the same amount, which happens in table 1, with a constant rate of change of 1/2 = 0.5.

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Please help soon!!!!!!

Answers

Solving the exponential function, it is found that the times that will take to have the desired measures are given by:

a) 3.6 hours.

b) 38.51 hours.

c) 56.98 hours.

What is the exponential function for the amount of Carbon-10 after t hours?

The function is given by:

[tex]A(t) = 140(0.5)^{\frac{t}{19.255}}[/tex]

Solving for t, we have that:

[tex](0.5)^{\frac{t}{19.255}} = \frac{A(t)}{140}[/tex]

[tex]\log{(0.5)^{\frac{t}{19.255}}} = \log{\frac{A(t)}{140}}[/tex]

[tex]\frac{t}{19.255} = \frac{\log{\frac{A(t)}{140}}}{\log{0.5}}[/tex]

[tex]t = 19.255\frac{\log{\frac{A(t)}{140}}}{\log{0.5}}[/tex]

In item A, we have that A(t) = 123, hence:

[tex]t = 19.255\frac{\log{\frac{123}{140}}}{\log{0.5}}[/tex]

t = 3.6 hours.

In item B, we have that A(t) = 35, hence:

[tex]t = 19.255\frac{\log{\frac{35}{140}}}{\log{0.5}}[/tex]

t = 38.51 hours.

In item C, we have that A(t) = 18, hence:

[tex]t = 19.255\frac{\log{\frac{18}{140}}}{\log{0.5}}[/tex]

t = 56.98 hours.

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Simplify..
Please show work

I give Brainliest

Answers

Answer:

[tex]\frac{4}{n^{2} }[/tex]

Step-by-step explanation:

(2nm⁻³) * 2m³n⁻³

First, focus on the coefficients, 2*2 = 4.

Now the n, n * n⁻³ = n⁻²

Now the m, m⁻³ * m³ = m⁰ = 1

Now multiply altogether, 4n⁻²(1) = [tex]\frac{4}{n^{2} }[/tex]

Despite control measures, the pigeon population in Winchester is increasing by 10% each year. If there are currently 9,520 pigeons, how many pigeons will there be in 13 years?
If necessary, round your answer to the nearest whole number.

Answers

Using an exponential function, it is found that there will be 32,866 pigeons in 13 years.

What is an exponential function?

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

A(0) is the initial value.r is the decay rate, as a decimal.

The initial value and the growth rate are given by:

A(0) = 9520, r = 0.1.

Hence the function is given by:

[tex]A(t) = 9520(1.1)^t[/tex]

Hence in 13 years, the amount of pigeons will be of:

[tex]A(13) = 9520(1.1)^{13} = 32866[/tex]

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!!! PLEASE HELP FAST !!!!

The school that Nicole goes to is selling tickets to a play. On the first day of
ticket sales the school sold 7 adult tickets and 5 student tickets for a total of
$105. The school took in $84 on the second day by selling 7 adult tickets and 2
student tickets. What is the price each of one adult ticket and one student
ticket?
A) adult ticket: $7, student ticket: $10
C) adult ticket: $11, student ticket: $6
B) adult ticket: $5, student ticket: $10
D) adult ticket: $10, student ticket: $7

Answers

Answer:

the answer is d

Step-by-step explanation:

1st day : 7 × 10 = 70

5 × 7 = 35 70+ 35= 105

2nd day : 7 × 10 = 70

2 × 7 = 14 70+14 = 84

The answer is C I just took the test and I got it right

Will be marked the brainliest if correct

Answers

Answer:

6 is the answer

Hope that helps.
Let me know if im wrong :)

Step-by-step explanation:

Problem 3
The √2-1.4142135... This expansion is not exact (a finite decimal expansion cannot give the exact
5
10,000,000
10,000,000
14,142,135 is close to √2 and in fact, is within
(or half the size of the
answer). The fraction
denominator); however, the denominator is too large. There are fractions that match this
approximating power with much smaller denominators.
Part A: Find the fraction with the smallest denominator that matches √2 to three places.

Answers

Answer:

5,000,000^2

Step-by-step explanation:

half of 10,000,000 sqrt of 2

What is the Solution to 1-x<5

Answers

[tex]~~~~~1-x < 5\\\\\implies -x < 5-1\\\\\implies -x < 4\\\\\implies x > -4\\\\\text{Interval notation:}~ (-4, \infty)[/tex]

Make 2 sets of data 8 numbers each between 1 and 25. Then calculate the median and IQR for each data set.

Due in 25 mins please help quick!!

Answers

The median of the data set will be 15.5. The data set is in between the 1 to 25.

What is median?

Median is such a number for the arranged data set in ascending or descending order, such that to its left and to its right belong the same number of observations.

The data set between the number is;

1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25

The value of IQR for data set is;

First Quartile Q1 = 6.5

Second Quartile Q2 = 13

Third Quartile Q3 =19.5

The median of the data set is;

[tex]\rm Median= \frac{15+16}{2} \\\\ Median= 15.5[/tex]

Hence, the median of the data set will be 15.5.

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Please helpp!!!!!! Quick

Answers

The area of the parallelogram in the given diagram is 103.68 cm²

Calculating area of Parallelogram

From the question, we are to determine the area of the given parallelogram

The area of a parallelogram can be calculated by using the formula,

A = bh

Where A is the area

b is the base

and h is the perpendicular height

From the given diagram,

b = 14.4 cm

h = 7.2 cm

Putting the parameters into the equation, we get

A = 14.4 × 7.2

A = 103.68 cm²

Hence, the area of the parallelogram in the given diagram is 103.68 cm²

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Please help!! Will give brainliest

Answers

Answer:

The first choice

Step-by-step explanation:

7/8 x + 3/4 = -6

6 (x/8) + 3/4 = -6

PLEASE HELP!

The chart shows the relationship between the cost of internet service per month and degree of customer satisfaction.

Based on a linear model, what would you expect a customer to rate their satisfaction for an internet plan that costs $10 per month. Give your answer to 2 decimal places

Answers

A customer that uses an internet plan that costs $10 per month is expected to give a customer rating of 6

How to determine the customer rating?

We start by calculating the regression equation of the table of values using a graphing calculator.

Using the graphing calculator, we have:

y = 0.04x + 5.75

When the cost is $10 per month, it means that

x = 10

So, we have:

y = 0.04 * 10 + 5.75

Evaluate

y = 6.15

Approximate

y = 6

Hence, a customer that uses an internet plan that costs $10 per month is expected to give a customer rating of 6

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i need to fine the value of x

Answers

93

Straight lines are equal to 180, therefore 180-56 gives you 124 for the opposite angle to x. Adding 56, 124 and 87 gives you 267. 360-267=93

On a coordinate plane, triangle B C D is rotated 180 degrees clockwise to form triangle B prime C prime D prime. Identify the angle of rotation that maps triangle BCD to triangle B’C’D’. What is the angle of rotation? 90° 180° 270° 360°

Answers

180 degrees would map the triangle onto B prime C prime and D prime

Answer:

180

Step-by-step explanation:

An angle cannot be the complement of one angle and the supplement of another angle at the same time. is this true or false?

Answers

An angle cannot be the complement of one angle and the supplement of another angle at the same time. Then the given statement is false.

What is an angle?

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.

An angle cannot be the complement of one angle and the supplement of another angle at the same time.

Then the given statement is false.

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On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, negative 7) and (0, 2). Everything to the left of the line is shaded.
Which is the graph of the linear inequality y < 3x + 1?

On a coordinate plane, a solid straight line has a positive slope and goes through (negative 1, negative 2) and (0, 1). Everything to the left of the line is shaded.
On a coordinate plane, a solid straight line has a positive slope and goes through (negative 1, negative 2) and (0, 1). Everything to the right of the line is shaded.
On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 1, negative 2) and (0, 1). Everything to the left of the line is shaded.
On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 1, negative 2) and (0, 1). Everything to the right of the line is shaded.

Answers

The attached graph represents the graph of the inequality

How to determine the graph of the inequality?

The points on the line are given as:

(-3,-7) and (0,2)

Start by calculating the linear equation using:

[tex]y = \frac{y_2 -y_1}{x_2 -x_1}(x -x_1) + y_1[/tex]

This gives

[tex]y = \frac{2 + 7}{0 + 3}(x -0) + 2[/tex]

Evaluate the fraction expression

y = 3(x -0) + 2

Evaluate the difference

y = 3x + 2

From the question, we understand that the line of the inequality is a dashed line and the left of the line is shaded.

This means that the inequality is greater than i.e. >

So, we have:

y > 3x + 2

See attachment for the graph of the inequality