In the equation y=a(x-h)^2+k, the "k" translates the parabola in what manner?

a) The absolute value equation is |x - 11| = 6.

b) The absolute value equation is |x - 0| = 1/2, which simplifies to |x| = 1/2.

To write the absolute value equation in the form |x - c| = d for the given solution sets, we need to find the midpoint (c) between the two values and the distance (d) from the midpoint to either of the values.

b) For the solution set x = 5, x = 17:

Midpoint (c) = (5 + 17) / 2 = 22 / 2 = 11

Distance (d) from the midpoint to either value (e.g., 5) = |5 - 11| = 6

So, the absolute value equation is |x - 11| = 6.

d) For the solution set x = -1/2, x = 1/2:

Midpoint (c) = (-1/2 + 1/2) / 2 = 0 / 2 = 0

Distance (d) from the midpoint to either value (e.g., 1/2) = |-1/2 - 0| = 1/2

So, the absolute value equation is |x - 0| = 1/2, which simplifies to |x| = 1/2.

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Question

HELP QUICK PLS, For each of the figures, write Absolute Value equation in the form

|x−c=d|, where c and d are some numbers, to satisfy the given solution set.

a) x=5, x=17

b) x=-1/2, x=1/2

Final answer:

The volume of the brick patio is 40 cubic feet, and by using the density of brick (130 pounds per cubic foot), the weight is found to be 5200 pounds.

Explanation:

To find the volume of the brick patio, we multiply its length, width, and height, keeping in mind to convert all dimensions to the same unit. The brick patio measures 10ft by 12ft by 4in. Since 1 foot is equal to 12 inches, the height in feet is 4in * (1ft / 12in) = 1/3 ft. Now, the volume can be calculated as follows:

Volume = Length × Width × Height
Volume = 10ft × 12ft × (1/3)ft
Volume = 120ft × (1/3)ft
Volume = 40 cubic feet.

To find the weight of the patio, we use the given density of brick, which is 130 pounds per cubic foot, and the volume that we have just calculated:

Weight = Density × Volume
Weight = 130 lbs/ft³ × 40 ft³
Weight = 5200 pounds.

The weight of the brick patio is therefore 5200 pounds.

The scale factor is some number between 0 and 1 (not including either endpoint) because the image is smaller than the preimage.

Triangle ABC is the preimage, or the "before"; while triangle A'B'C' is the image, which is the "after".

preimage ----> image

before ----> after

Answer:

he scale factor is some number between 0 and 1 (not including either endpoint) because the image is smaller than the preimage.

Triangle ABC is the preimage, or the "before"; while triangle A'B'C' is the image, which is the "after".

Step-by-step explanation:

Supply describes the amount of product a seller is able to make.

Demand is defined as the amount of product that the consumers or buyers is going to buy.

Supply is defined as the amount of product that the producers or sellers is going to make to sell.

Market is the place where the demand and supply meet. That is, sellers and buyers will be meeting at the market.

From the definition, it is clear that demand is related to buyers than the sellers.

So demand is the quantity that the buyers buy.

So supply is referred to as the quantity that the seller is going to make.

Hence the best description for the amount of product a seller is able to make is supply.

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Answer:

180

Step-by-step explanation:

Answer: 180mm squared

Step-by-step explanation: How to solve this problem is you have to break up the problem into different parts. The line CE splits it up. The part on the left of line CE has an area of 135 (9 x 15) and the part on the right is a little more tricky, we know AB is 15mm and DC is 9mm so we know CF has to be 6 because we subtract 15mm from 9mm. You probably know how to calculate the area of a triangle (15 x 6)/2 which is 45. 45 + 135 = 180. I also go to RSM! (what a coincidence)

Answer:No the student was not right.Neither of the estimations were right because she did not estimate at al.

Step-by-step explanation:

1.Round 49 to the nearest ten: 50.

2.Round 184 to the nearest ten:180.

3.Add 50+180 to get 230.

The student was not right because she did not estimate 49 nor 184.

Step-by-step explanation:

Given points (4 , -4) and ( 1, 2)

First calculating slope (m)

=( y2 - y1) /( x2 -x1)

= ( 2 + 4) / (1-4)

= 6/ -3

= -2

Now

The equation in point slope form

y - y1 = m ( x - x1)

y + 4 = -2 ( x - 4)

y + 4 = -2x + 8

2x + y - 8 + 4 = 0

2x + y -4 = 0 which is the required equation

Answer:

the 3 one bro ok I will let you know the answer

Answer:

28

Step-by-step explanation:

in order to evaluate for the value of x from this 2(x+5)=7x-5 , we will open the bracket and the evaluate for x.

solution

2(x+5)=7x-5

2x + 10 = 7x - 5

collect the like terms together

2x + 10 +5 = 7x

15 = 7x - 2x

15 = 5x

divide both sides by 5

15/5 = 5x/5

3 = x

x =3

so, to evaluate for 2x² + 10

will be

2x² + 10

2 (3)² + 10

2 x 9 + 10

18 + 10

28

Answer:

200

Step-by-step explanation:

Total room =300

Sold room =450

Dally Average Rate =.300

Calculation of revised PAR

=300*300/450

=90,000/450

=200

+254726755163 (For assignment help and course work)

Answer:

  $225

Step-by-step explanation:

Revenue per available room was ...

  ($300/room sold)(450 rooms sold)/((300 rooms/night)(2 nights))

  = $(300·450/(300·2) = $(450/2)

  = $225

Answer:

B

Step-by-step explanation:

x = (y - 3)² + 41 ← expand factor using FOIL

x = y² - 6y + 9 + 41 ← collect like terms

x = y² - 6y + 50 → B

Given:

Triangles FRI and DAY are similar.

To find:

Similarity ratio

Solution:

If two triangles are similar then the corresponding angles are congruent and the corresponding sides are in proportion.

Here, FR and DA are corresponding sides.

[tex]$\Rightarrow \frac{FR}{DA} =\frac{4}{6}[/tex]

Cancel the common factors of 4 and 6, we get

[tex]$\Rightarrow \frac{FR}{DA} =\frac{2}{3}[/tex]

⇒ FR : DA = 2 : 3

⇒ ΔFRI : ΔDAY = 2 : 3

Similarity ratio of the first triangle to the second triangle is 2 : 3.

The similarity ratio should be 2:3

In the case when two triangles are same so the corresponding angles are congruent and the corresponding sides should be in proportion.

So,

[tex]FR \div DA = 4\div 6[/tex]

FR:DA = 2:3

Based on the above calculations, we can say that the ratio of first triangle to the second triangle should be 2:3

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Answer:

dilation

Step-by-step explanation:

The transformation that Kyle performed to make a triangle similar but not congruent is dilation. This changes the size of a figure, but not its shape.

If a triangle undergoes a transformation and results in a similar but not congruent shape, it likely underwent a dilation. A dilation is a transformation that alters the size of a figure without changing its shape. Dilations can either reduce or enlarge a shape based on a scale factor. If the scale factor is greater than 1, the figure will enlarge. If it is less than 1, the figure will reduce.

For example, if Kyle dilated a triangle with a scale factor of 2, the triangle would double in size but still remain similar to the original triangle. However, because its size has increased, it is not congruent with the original triangle.

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Answer: B D E

Step-by-step explanation:

Answer:

bde

Step-by-step explanation:

.............................

Steps to solve:

5(y + 2/5) = -13

~Distributive Property

(5 * y) + (5 * 2/5) = -13

~Simplify

5y + 2 = -13

~Subtract 2 to both sides

5y + 2 - 2 = -13 - 2

~Simplify

5y = -15

~Divide 5 to both sides

5y/5 = -15/5

~Simplify

y = -3

Best of Luck!

Answer:

21%

Step-by-step explanation:

okay so 400 is your denominator, and 84 is your numerator, so divide 400 by 4 so you get 100, because your percentage should be out of 100. because you divided 400 by 4, you also have to do that for 84, giving you 21 out of 100. converted to a decimal its .21, or 21%

Final answer:

To find the percentage of seventh grade students who made honor roll, a proportion is used, yielding a result of 21 percent.

Explanation:

To calculate the percentage of seventh grade students who made honor roll, we can set up a proportion where 84 students is to 400 students as x percent is to 100 percent. The proportion can be written as 84/400 = x/100. To find x, we cross-multiply and solve for x.

First, cross-multiply: 84 * 100 = 400x. This gives us 8400 = 400x. Next, divide both sides of the equation by 400 to solve for x: 8400 / 400 = x. This results in x being equal to 21. Therefore, 21 percent of the seventh grade students made honor roll.

Answer:

w=1  There are no extraneous solutions

Step-by-step explanation:

Multiply each side by 10w

10w ( 5/2w - 3/5w ) = 19/10 * 10w

Distribute

5*5 - 3*2 = 19w

25-6 = 19w

19 = 19w

Divide each side by 19

19/19 = 19w/19

1= w

Answer:

18 work for company A and 13 for company B

Step-by-step explanation:

Company A = A

Company B = B

A = B + 5

A + B = 31

B + 5 + B = 31

2B + 5 = 31

2B = 26

B = 13 -->

A = 13 + 5

A = 18

Answer:

19

Step-by-step explanation:

The length of line segment RT is found by adding the lengths of the segments RS and ST. Given RS=2 and ST=17, we find that RT=2+17=19.

In this problem, we are dealing with segments on a line. There is a concept in mathematics that's relevant here: the Whole is the sum of its parts. When you have a line divided into segments (parts), the length of the whole line is the sum of the lengths of these parts. Here, line segment RT is divided into two parts - RS and ST.

We know that RS = 2 (given) and ST = 17 (also given). Therefore, the length of line segment RT is the sum of RS and ST. RT = RS + ST = 2 + 17 = 19. So, the length of RT is 19 units.

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Answer:

10 inches

Step-by-step explanation:

w = 1/5 P

Multiply each side by 5

5w = 1/5P *5

5w =P

We know the perimeter of a rectangle

P = 2(l+w)

We can set the two equations equal

5w = 2 (l+w)

l =15 inches

We can substitute 15 in for the length

5w = 2(15+w)

Distribute

5w = 30 +2w

Subtract 2w from each side

5w -2w = 30+2w-2w

3w =30

Divide each side by 3

3w/3 = 30/3

w =10

The width is 10 inches

The formula for perimeter is: P=2W+2L

Rewrite as: 2W  = P-2L

Divide all terms by 2: P/2-L=W

Width is 1/5p, replace W in the equation: P/2-L= 1/5P

Multiply  each term by 10: 5P-10L=2P

Subtract 2p from both sides and add 10L to both sides: 3P=10L

Lenght is given as 15 inches, replace L with 15 and multiply: 3P=150

Divide both sides by 3: P=50

W=1/5P = 10 inches

Answer:

the correct system of equations is the first one.

Step-by-step explanation:

h+d=300

2h+d=420

Answer:

C) A=1/2(2πr)(r)

Step-by-step explanation:

The approximate area of the parallelogram-like figure is,

⇒ A = 1/2(2πr)(r)

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Since, The circumference of the circle, 2πr, is the measure completely around the circle.  

When the pieces of the circle are rearranged, half of this circumference will be on the top of the parallelogram and half will be on the bottom.  

This means the base will be,

⇒ 1/2(2πr).

Hence, The approximate height of the parallelogram is the radius of the circle; this makes the area

⇒ A = 1/2(2πr)(r)

Thus, The approximate area of the parallelogram-like figure is,

⇒ A = 1/2(2πr)(r)

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Answer:

add or multiply regardless of how the numbers are grouped.

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Answer:

answer in picture as well  
1

Step-by-step explanation:

Answer:

D.The range is all positive multiples of 3.5 rounded to the nearest hundredth because the amounts charged are represented as dollars and cents.

Step-by-step explanation:

The domain of a function c(x) is the set of all values, x for which the function f is defined, while the range of the function is the set of all values that c takes.

If the Book Editor , Wallace uses the function c(x) = 3.5x to determine the amount he will charge, in dollars, to edit a book with x pages. The statement that best explains the range of his function is Option D.

This is as a result of the fact that, although the number of pages,x will be positive whole numbers, multiplying x by 3.5 makes the function c(x) a positive multiple of 3.5.

Since c(x) is in dollars, we round it up to the nearest cent (hundredths).

Answer:

They are the same

Step-by-step explanation:

1 meter = 100 cm,

5 meters = 500 cm.

Answer:

5 m = 500 cm

Step-by-step explanation:

1 m = 100 cm

5m = 5 x 100 cm = 500 cm

Answer:

Your answer is: C) 3

Step-by-step explanation:

The formula used to find side A in this problem is called the Pythagorean Theorum.  The formula is as follows:  a = the square root of c squared minus b squared.  Or, you can say that the hypotenuse is equal to: c = the square root of a squared and b squared  added together.  This might sound confusing in the start, but here's all you have to do. c^2 = 25.  4^2 = 16.  25 - 16 = 9.  The square root of 9 = 3.  C) 3 is your answer.

Step-by-step explanation:

[tex]1km = 1000m \\ x = \frac{10000}{1000} \\ x = 10km[/tex]

Answer:

1

Step-by-step explanation:

IT means that that 1km is =10000m

Answer:

The amount of gallons rounded to a whole number is 32970 gallons.

Answer:

The amount of gallons rounded to a whole number is 32970 gallons.

Step-by-step explanation: