Mathematics High School

write the equations for the basic absolute value equation y=|x-h|+k under the given transformations:

1. shift 1 unit to the right and up 2 units

2. shift 3 units to the left and 7 units down

3. vertical shrink by a factor of 1/3

4. vertical stretch by a factor of 3

Answers

Answer 1
Left & Right affect the h,
Up & Down affect the k,
Shrink & Stretch affect the "a" (which is in front of the absolute value expression).

1. shift 1 unit to the right and up 2 units → y = |x-1| + 2
2. shift 3 units to the left and 7 units down → y = |x + 7| - 7
3. vertical shrink by a factor of 1/3 → y = [tex] \frac{1}{3} [/tex]|x|
4. vertical stretch by a factor of 3 → y = 3 |x|

Related Questions

6x – 2y = 10 2x + 3y = 51 solving the first equation above for y gives:

Answers

The first equation is 6x - 2y = 10. To solve for y, you will use inverse (opposite) operations to undo what is happening to y.  Please see the steps below for the work.

6x - 2y = 10
-6x          -6x
-2y = (-6x + 10)
-2            -2
y = 3x - 5

Which answer choice below correctly identifies the 202nd term in the sequence 5, 10, 15, 20, 25 …?

Answers

The 202nd term in the sequence is 1010.

Answer:

answer is : A. 1010

Step-by-step explanation:

Mitchell and Luke record the number of deliveries they each make for their family's restaurant. The results are shown in the box plots below.

Select the true statement.

The interquartile range of Mitchell's data is greater than the interquartile range of Luke's data.


Mitchell's data and Luke's data have the same interquartile range.

The median number of deliveries made by Mitchell each week is greater than the median number of deliveries made by Luke each week.

The median number of deliveries made by Mitchell each week is equal to the median number of deliveries made by Luke each week.

Answers

The correct answer is the first:
 The interquartile range of Mitchell's data is greater than the interquartile range of Luke's data.
 Since the interquartile range (RIC) is equal to:

 RIC = Q3-Q1

 Of the gracifa can be observed quer for the case of Mitchell:
 RIC = 34-25 = 9

 While for Luke's case:
 RIC = 36-28 = 8.

 Therefore Mitchell's interquartile range (RIC) is greater than Luke's.

Answer:

A. The interquartile range of Mitchell's data is greater than the interquartile range of Luke's data.

Step-by-step explanation:

The fractions of -42/-45 and 14/15 are equivalent

Answers

yes, that is true, you have to simplify -42/-45 to be able to see if they are equivalant.
[tex] \frac{ - 42}{ - 45} = \frac{14}{15} [/tex]

Answer:

True

Step-by-step explanation:

Antar is flying a triangular-shaped kite. it has a height of 41/2 feet and a base of 53/4 feet. what is the area of antar's kite?

Answers

So 5 3/4 base and 4 1/2 height

A= HbxB/2 = 4.5*5.75/2= 12.94ft

Answer:

12.94

Step-by-step explanation:

The length of a rectangle is 5 cm longer than its width. find the width given that the area is 36cm

Answers

Hi there! The answer is 4 cm.

Let the width of the rectangle be represented by X.
Now we can conclude we can express the length by X + 5.

The area of a rectangle can be found using the formula:
A = W × L = width × length.

Filling in the formula gives us the following:
[tex]x(x + 5) = [/tex]

Work out the parenthesis (for instance using rainbow technique).
[tex] {x}^{2} + 5x[/tex]

Now, when we've found our expression that represents the area, we can set up and solve an equation.
[tex] {x}^{2} + 5x = 36[/tex]

Subtract 36.
[tex] {x}^{2} + 5x - 36 = 0[/tex]

Factorise
[tex](x + 9)(x - 4) = 0[/tex]

Rule AB = 0, gives A = 0 or B = 0
[tex]x + 9 = 0 \\ x = - 9 \\ or \\ x - 4 = 0 \\ x = 4[/tex]

Since length can't be negative, the width of the rectangle, which was represented by x, is 4.
The answer is 4 cm.

~ Hope this helps you!

7^-5 times 7^3 equals what, I need help asap please

Answers

Your answer is 7^(- 2) or [tex] \frac{1}{ 7^{2} } [/tex] or [tex] \frac{1}{49} [/tex]

what is f(5) if f(x)=8x-3

Answers

It would be f(x)=37

Answer:

f(5)=37

Step-by-step explanation:

We have the function f(x)=8x-3,

f(5) is the value of the function f when x=5, then you have to replace f(x) with x=5,

f(x)=8x-3

f(5)=8.(5)-3

f(5)=40-3

f(5)=37

!!!!PLEASE HELP, WILL GIVE BRIANLIEST!!!!

Which three-dimensional figure is formed by the rotation given?

The first picture is the rotation, the rest are the choices.

Answers

Hello!

The rotation creates a bowl or known as a  paraboloid

The answer is the third one

Hope this helps!

Simplify the following expression.

[tex]4a^{-2} b [/tex]

Answers

The first step for solving this expression is to express with a positive exponent using [tex] a^{-n} X \frac{1}{ a^{2}} X b[/tex].
4 × [tex] \frac{1}{ a^{2} } [/tex] × b
Now calculate the product.
[tex] \frac{4X1b}{ a^{2} }[/tex]
Before you get your final answer,, you must remember that any expression multiplied by 1 stays this same. This makes our final answer the following:
[tex] \frac{4b}{ a^{2}}[/tex]
Let me know if you have any further questions.
:)

Answer: C

Step-by-step explanation:

The grid shows a section of the beach in Coast City where each square has sides that are 100 yards long.

On a coordinate plane, the beach front is about 800 yards long. From the south pier to the north pier along harbor drive and park street, the distance is 1200 yards long.

Lisa walked from the South Pier to the North Pier along the beachfront. Deanna walked from the South Pier to the North Pier along Harbor Drive and Park Street. Which statement best describes the distances the two women walked?

a. Lisa walked about 400 yards farther than Deanna.

b. Lisa walked the same distance as Deanna.

c. Lisa walked about 400 yards less than Deanna.

d. Lisa walked about 400 yards.

What is the answer to 5+14a=9a−5

Answers

5 + 14a = 9a - 5
+5                 +5
10 + 14a = 9a
       -14a    -14a
10 = -5a
----   -----
-5      -5

answer: a = -2

Find the x-intercept of the function: f(x) = 6x - 2. Round answer to the nearest hundredth, if necessary. A) (0.39, 0) B) (1.00, 0) C) (2.58, 0) D) (3.00, 0)

Answers

The function f(x) = 6^(x)-2 has an x-intercept at approximately (0.39, 0)
              f(x) =  0 = 6^(x) - 2
                        2  = 6^(x)
       log(2)/log(6)= x
                          x = 0.3868 = 0.39
The answer to this question is A) (0.39, 0).

The side of a square measures 3mn^2. What is the area of the square if m=4 and n= -2

Answers

Your question was wrong. I had to watch the photo.

-2²=4
4(4)=16
16(3)=48
48²=2304


When I read your text I though this:
4(-2)=-8
-8(3)=-24
-24²=576
576²=331 776

what does 3P2 equal?

Answers


No one has mentioned, so I will. What you are looking for is the permutation of 3 things taken 2 at a time. In other words, how many different unique ways are there to arrange 3 items, say colored balls, taking 2 of them for each group. By unique, I mean that 1 red and 1 blue is the same as 1 blue and 1 red,

Choose the ratio you would use to convert 88 pounds to ounces remember that there are 16 ounces in 1 pound
A. 1 pound/16 ounces
B. 16 ounces/ 1 pound
C. 1 ounce/ 88 pounds
D. 88 ounces/ 1 pound

Answers

Your answer would be B. 16 ounces/1 pound

Answer:

The ratio that we use to convert 88 pound to ounces is:

B. 16 ounces/1 pound

Step-by-step explanation:

There are 16 ounces in 1 pound

i.e. 1 pound=16 ounces

     88 pound=88 pound × 16 ounces/1 pound

Hence, the ratio that we used to convert 88 pound to ounces is:

B. 16 ounces/1 pound

the weight of an object on mars varies directly as the weight of the object on earth a 90 pound object on earth weighs 34 pounds on mars.if an object weighs 135 pounds on earth how much does it weigh on mars

Answers

It will weigh 79 pounds on mars 

We have been given that the weight of an object on the mars varies directly as the weight of the object on earth.  

Let y be weight of an object on Mars and x be weight of an object on Earth.

[tex]\\ y=kx[/tex]

We have been given that the weight of an object on Mars is 34 pounds and weight of the same object on Earth is 90 pounds.

Putting the given values in equation we get

[tex]\\ 34=k(90)\\ \\ k=\frac{34}{90}=\frac{17}{45}[/tex]

Therefore, our equation now becomes

[tex]\\ y= \frac{17}{45}x[/tex]

Now we have been given that the weight of an object on Earth is 135 pounds and we have to find the weight of the same object on Mars,

We have been given that [tex]\\ x=135[/tex]

Putting the given values in our equation we get

[tex]\\ y= \frac{17}{45}(135)=\frac{17\cdot 135}{45}=17\cdot 3 = 51[/tex]

Therefore weight of the object on Mars will be 51 pounds.

                                                                             

2%2, percent of the students at Hamilton Middle School have red hair. There are 700700700 students at Hamilton Middle School. How many students at Hamilton Middle School have red hair?

Answers

Percentage of red haired students = 2%
Total number of students = 700

Therefore,
Number of students with red hair = Total number*Percentage of the red haired students = 700*2/100 = 14

Then, 14 students have red hair.

Answer:

14 students have red hair.

Step-by-step explanation:

In Hamilton Middle School 2% of the students have red hair .

Total number of students in the school = 700

We have to calculate the number of students who have red hair.

2% of 700 students.

= [tex]\frac{2}{100}[/tex] × 700

= 0.02 × 700

= 14 students.

14 students have red hair in Hamilton Middle School.

A toy store marks up wooden yoyos 50%. If the wholesale price of each yoyo is $2.20, what will be the price per yoyo at the cash register?

Answers

To find the price of the yoyo at the cash register, you will start with the wholesale price of $2.20 and increase it by 50%.  To calculate the final price after the markup, you will add 100% (all of the original price) to the 50% to get 150%.

150% of $2.20
1.5 x 2.2 = 3.3

The price at the register is $3.30.

Answer:

1.10

Step-by-step explanation:

because 2.2o divided by half 1/2 or 50% off is 1.10 to check your work it is 1.10+1.10=2.20

What is a​ population?. a population is the set containing all the people or objects whose properties are to be described and analyzed by the data collector.
b. a population is a set of data.
c. a population is the set of all the properties that can be assigned to any people or objects in a given sample.
d. a population is a group that exhibits characteristics typical of those possessed by the target sample?

Answers

I think that is the letter (a)

The term population is the set containing all the people or objects whose properties are to be described. Hence, option (a) is correct.

What is Population?

A community is a distinct group of people, creatures, or other objects that can be recognized for the purposes of data gathering and analysis by at least one shared trait.

The majority of the time, data is collected from samples in order to learn more about huge populations. For instance, market researchers might randomly contact a small percentage of the town's subscribers to major carrier services who were born between 1980 and 2004 if they wanted to obtain representative statistics for Millennial consumers of mobile phones who did not have a landline in New York City (the population).

To know more about Population:

https://brainly.com/question/27991860

#SPJ5

what is the largest possible product of two odd integers whose sum is 42?

Answers

441. 

You can tell this because the largest area of any rectangle is when it is a square. Even sides will always produce the greatest area. Thus, 21 and 21 would be the best numbers to use. 

The largest possible product of two odd integers whose sum is 42 is 437, obtained from multiplying 19 by 23.

The question asks for the largest possible product of two odd integers whose sum is 42. To find this, we should split 42 into two odd numbers that are as close to each other as possible because the product of two numbers that are close together will be higher than the product of a pair that has a larger difference.

If we divide 42 by 2, we get 21, which is not an even integer, so we need to adjust the numbers by 1. So the two odd numbers closest to each half of 42 are 21 and 21. However, we can't have them both be the same number since we're looking for two integers, so we adjust one up and one down by 1, resulting in 20 and 22. To ensure both numbers are odd, we will subtract 1 from the first number and add 1 to the second number, giving us 19 and 23 as the two odd integers that sum to 42.

The product of 19 and 23 is 19 × 23 = 437, which is the largest possible product for two odd integers that add up to 42.

Use a calculator to find the approximate value of sin-1( 0.655).

Answers

arcsin(0.655) ≈ 40.9196° ≈ 0.714183 radians

Answer:

Radian = 0.7142

Degree = 40.92°

Step-by-step explanation:

Given: [tex]\sin^{-1}(0.655)[/tex]

Let, [tex]y=\sin^{-1}(0.655)[/tex]

It is inverse trigonometry function. We have to use calculator to find angle of trigonometry.

The value of y in two form radian or degree

Using calculator to find the value of y

In radian,

[tex]y=0.7142[/tex]

In degree,

[tex]y=40.92^\circ[/tex]

Hence, The value of [tex]\sin^{-1}(0.655)[/tex] in radian 0.7142 and in degree 40.92°

i need help with number 2 please p

Answers

2b-1=26-4b
6b=27
b=4.5

if you plug it back in both sides equal 8

Part 1 (Unit 2): Subtract Polynomials:

(3−6n5−8n4)−(−6n4−3n−8n5)

Part 2 (Unit 3): Solve this quadratic equation. Show all your work (steps) for full credit:

4x2−2x−5=0

Answers

Part 1
 We have the following polynomials:
 (3-6n5-8n4)
 (-6n4-3n-8n5)
 Subtracting the polynomials we have:
 (3-6n5-8n4) - (- 6n4-3n-8n5)
 n5 (-6 + 8) + n4 (-8 + 6) + 3n + 3
 Rewriting:
 2n5 - 2n4 + 3n + 3

 Part 2
 For this case we have the following polynomial:
 4x2-2x-5 = 0
 Using resolver we have:
 x = (- b +/- root (b ^ 2 - 4 * a * c)) / (2 * a)
 x = (- (- 2) +/- root ((- 2) ^ 2 - 4 * 4 * (- 5))) / (2 * 4)
 x = (2 +/- root (4 + 80)) / (8)
 x = (2 +/- root (84)) / (8)
 x = (2 +/- root (4 * 21)) / (8)
 x = (2 +/- 2raiz (21)) / (8)
 x = (1 +/- root (21)) / (4)
 The roots are:
 x1 = (1 + root (21)) / (4)
 x2 = (1 - root (21)) / (4)

The center of a circle is at (-5, 7) and its radius is 6 units. Which of the following is the equation for this circle?

A) (x - 5)2 + (y + 7)2 = 36
B) (x + 5)2 + (y - 7)2 = 36
C) (x - 5)2 + (y + 7)2 = 12
D) (x + 5)2 + (y - 7)2 = 12

Answers

Answer:
Option B, (x + 5)² + (y - 7)² = 36

Explanation:

The equation for a circle is (x - h)² + (y - k)² = r² where r represents the radius of the circle and the center is ordered pair (h, k).

We can then plug the given information into the formula and simplify where possible.

Center at (-5, 7), radius = 6:
[x - (-5)]² + (y - 7)² = (6)²

(x + 5) + (y - 7)² = 36, which matches option B.

The width of a rectangle is 4 less than half the length. if l represents the length, which equation could be used to find the width, w?

Answers

W-4=1/2L
W=1/2L+4
This is the answer

(-6-8i) + (-6-i)
study island question please help

Answers

You can treat "i" as though it were a variable and combine like terms in the usual way.
  = (-6+(-6)) +(-8 +(-1))i
  = -12 -9i

Or, you can let your calculator do it.

The Venn diagram represents the results of a survey that asked participants whether they would want a dog or a cat as a pet.

Enter your answers in the boxes to complete the two way table based on the given data.

Dog Not dog Total

Cat ___ ___ ____

Not
Cat ___ ____ ____

Total ___ ____ ____

Answers

 Arrange the numbers shown on the diagram into the correct category:                

                      Dog                Not dog                 Total  

Cat                     31                      10                      41

Not  Cat              24                     7                       31    

Total                    55                   17                       72

What is the equation for a circle that has a center at -6,5 and passes through the point -11,3?

Answers

(x + 6)² + (y - 5)² = r²
(-11+6)² + (3-5)² = r²
   (-5)²    +  (-2)²  = r²
    25     +    4     = r²
            29          = r²

Answer: (x + 6)² + (y - 5)² = 29

Please help me with my question

Answers

Television 
A=w *l=w* 5w=5w²
w=x+7, x- width of tablet
A=5(x+7)²=5(x²+14x+49)= 5x²+70x+245
A(television)=5x²+70x+245
"at least" means more or equal,so
5x²+70x+245≥1,050 - the answer

If tablet has width 8, x=8,
then
5*8²+70*8+245≥1050
1125≥1050 True,
so we can say
Yes, 8 in is a reasonable size for Adrew's tablet.


A bag contains 8 blue marbles 5 red marbles and 2 orange marbles , Carolina picks a marble from the bag at random and returns it to the bag and makes a second random selection . What is the probability that two blue marbles were selected

Answers

Initial total number of marbles: 8 + 5 + 2 = 15
Initial number of blue marbles: 8

First pick:
p(blue marble) = 8/15

Since the marble from the first pick is returned to the bag, the bag still contains 8 blue marbles and a total of 15 marbles.

Second pick:
p(blue marble) = 8/15

Overall:
p(blue marble followed by blue marble) =
= p(blue marble) * p(blue marble)
= 8/15 * 8/15
= 64/225
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