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[tex]f(x)=a|x-h|+k[/tex] looks similar to that of vertex form where a is the stretch factor, h is the horizontal translation, and k is the vertical translation.

[tex]f(x)=7|x+4|-6[/tex] would mean that the minimum point is located at [tex]x=-4[/tex] and [tex]y=-6[/tex].

Moving f(x) 2 units to the right will only affect the h value and the only way to do this is by subtracting 2 from 4. Remember that the more negative the number, the more positive or to the right the x value for the minimum/maximum is, and vice versa.

The final equation will be  [tex]f(x)=7|x+2|-6[/tex] where:

a = 7

h = 2

k = 6

Answer:

7(x + 2) - 6

Step-by-step explanation:

a(x - h) + k

the h shift it right or left where a negative number is right and the positive is left

- we want it to move right 2 so -4 + 2 = -2 where negative number means a positive h so its +2

k shifts it up or down

Answer: 206

Step-by-step explanation: addion

Answer:

x is equal to 15.62 .......

Answer: It would be 4b+44

Step-by-step explanation:

This is the distributive property! so a(b+c)=ab+ac

In this case–4b+44!

Answer:

A. 4b + 44

Step-by-step explanation:

To simplify the expression, we can distribute the 4 to each term in the parenthesis, which means to multiply 4 be each term.

4(b) + 4(11) = 4b + 44

Therefore, the correct option is A.

hope this helps!

Answer:

Step-by-step explanation:

Let x represent the number of tickets sold, and y represent the total amount of money raised. Since each ticket is $2.50, the total amount of money raised is equal to $2.50 times the number of tickets. The equation would be y = 2.50x.

Answer:

5 2/10 or 520%

Step-by-step explanation:

Step-by-step explanation:

Is there any data given abour the figure? And actually, what exactly do you need to solve?

Answer:

114 cm^2

Step-by-step explanation:

The area of a triangle is calculated with the following formula:

1/2 * b*h (b: base, h: height)

The height here is given as 3.8 cm and base is 6 cm

1/2 * (3.8)*6 = 11.4

The area is presented in square units so the answer is 11.4 cm^2

The function g(x) is a rational function, and none of the options represent the range of the function g(x)

The function is given as:

g(x) = -2/x + 1

The above function is undefined at point x = 0.

This is so because -2/x is undefined.

So, we have:

g(0) = -undefined + 1

g(0) = undefined

This means that the range of the function is:

(-infinity, 1) and (1, infinity)

None of the options represent the range of the function g(x)

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Answer:

See below ~

Step-by-step explanation:

Details of Graph

10m

[tex]looking \: at \: the \: diagram \\ horizontal \: lenght = 6m \\ vertical \: lenght = 8m \\ the \: \: lenght \: of \: the \: fencing \: can \: be \: calculated \\ using \: pythagoras \: theorem \\ let \: the \: lenght \: of \: the \: ladder = h \\ h {}^{2} { = 6}^{2} + 8 {}^{2} \\ h {}^{2} = 36 + 64 \\ h {}^{2} = 100 \\ square \: root \: bothsides \\ \sqrt{h {}^{2} } = \sqrt{100 } \\ h = 10 \\ therefore \: lenght \: of \: the \: ladder \: = 10m[/tex]

Using the slope of each of the lines, the best statement that describes the their relationship is that they are: neither perpendicular nor parallel.

The slope of parallel lines are the same, while that of perpendicular lines are negative reciprocals.

Given the two lines with the following equations:

-9x+9y=1

7x+2y=4

Rewrite both in slope-intercept form as y = mx + b to determine the slope of each line:

-9x + 9y = 1

9y = 9x + 1

y = 9x/9 + 1/9

y = x + 1/9 (slope = 1)

7x + 2y = 4

2y = -7x + 4

y = -7x/2 + 4/2

y = -7/2x + 2 (slope = -7/2).

The slope of both lines are different, so they are not parallel. So also, their slopes are not negative reciprocals.

Therefore, they are neither perpendicular nor parallel.

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Answer:

43

Step-by-step explanation:

80-37 = 43

Answer:

a) 27
b) 19

Step-by-step explanation:

a) Calculate the volume of the the cup using volume of cylinder equation: [tex]V = \pi r^{2} h[/tex]

Where V = Volume, r=radius, and h=height. Your answer should be in cubic inches ([tex]in^3[/tex]).
You're given diameter, so use equation [tex]d/2 = r[/tex] to find radius.
Substituting these equations will give you: [tex]V = \pi (d/2)^2 h[/tex]
However, the given volume of the sink is 3000/3[tex]\pi[/tex] or 1000[tex]\pi[/tex], meaning that you should modify your results to match this value. Do not substitute [tex]\pi[/tex] for 3.14..., leave it as a symbolic value. Your final V of the cup should = 37.5 [tex]\pi[/tex]
Divide the volume of the sink by the volume of the cup. This number will be the amount of cups needed to empty it. In equation form:
[tex]Vsink / V cup =[/tex] # of cups.
Note the the [tex]\pi[/tex] will cancel each other out, so there's not need to factor that in.
b) Repeat the steps above with the new d (diameter) value.

Answer:

4(7×7×2)

volume of all 4 pans is 392

Step-by-step explanation:

1 pan volume = 7×7×2= 98

4 pan volume = 98×4= 392

4(7×7×2)= 392

Answer:

392 i think

Step-by-step explanation:

i might be wrong but hope u get it right

The surface area of the parallelogram based prism is 1548 units squared.

The prism has 2 parallelogram base and 4 rectangular faces.

Therefore,

surface area of the prism = 2 (area of the base) + area of the 4 rectangular faces

Therefore,

surface area of the prism = 2(12 × 17) +2(19 × 13) + 2(19 × 17)

surface area of the prism = 2(204) + 2(247) + 2(323)

surface area of the prism =  408 + 494 + 646

surface area of the prism = 1548 units²

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Answer:

Step-by-step explanation:

13 = 2*6 + 1         (m = 6)

27 = 2(13) + 1

121 = 2(60) + 1

Answer:

V = Bh

Step-by-step explanation:

The equations will yield the volume of a triangular prism is V = Bh.

Where,

V = Volume

B = Base

h = Height

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Kavinsky

The equation that shows the fraction of the solar panel that is not damaged is 8 - 2 / 8 = 3 / 4

The solar panel is divided into 8 equal pieces. Two pieces are damaged.

Therefore, the equation that shows the fraction of the solar panel that is not damaged is as follows:

The amount damaged = 2

The amount not damaged = 6

Total panel = 8

Therefore,

8 - 2 / 8 =  6 / 8 = 3 / 4

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Answer:

60m = t

Step-by-step explanation:

For " per minute ( 1 minute ) ", he can type 60 words.

For " m minutes ", he can type

m times 60

= m x 60

= 60m

Hence,

60m = t

Answer:

The answer would be B

Step-by-step explanation:

Since Miles can write 60 words PER minute. Per is a key work for multiplication. So it would be 60m = t instead of m/60 = t.

In totality the majority of the price is goes to manufacturing companies.

The selling is the process of giving the manufactured product to the public at some cost. In the clothing or garments industry, the product will be a lot of raw fabric or ready-made clothes like shirts and T-shirts.

Here the manufacturing companies give their products in the lot to the wholesalers and the retailers the margin on each product for the retailers is high but the quantity is less.

Similarly, the margin for the manufacturing companies is less but the quantity is very high or they sell in the Tons or more so they earn more as compared to the others.

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Answer:

The measure of an exterior angle of a triangle is always greater than the measure of either of the opposite interior angles of the triangle

sum of angles in a triangle ABC is 180

interior angles +exterior =180

Answer:

4√13 inches.

How To Solve

a2 + b2 = c2

82 + 122 = c2

64 + 144 = c2

208 = c2

√208 = √c2

√16√13 = c

4√13 inches = c

Answer:

Step-by-step explanation:

the first thing you have to do is to get the x and the y axis and add them to then decrease that by o,5 and then you get f of which you multiply it by 2 adn you get your answer.

Answer:

The answer is A

Step-by-step explanation:

Answer: 224 cubic feet

Step-by-step explanation: If the base of the tank is 56 sq feet in area then the dimensions could be, (2,28) (4,14) (7,8) for example. However, it doesn't really matter. It's only important that the information we know is that it is area and there are two dimensions. Since volume is determined by base x width x height, we do 56 x 4. Or using one of the factored pairs that works, for example, 8 x 7 x 4 = 224.