Expand and simplify 3(4x-2)-2(x-4)

The function f(x) is translated right by 3 units to get g(x)

The functions are given as:

f(x) = x^2

g(x) = (x - 3)^2

The rule of horizontal translation right is:

(x,y) ->(x - h,y)

Where h is the unit of translation.

This means that the function f(x) is translated right by 3 units to get g(x)

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Answer:

66 percentage of people are on the sand.

Step-by-step explanation:

Hi There! Let me help you :)

[tex] = {6}^{4} . {6}^{3} [/tex]

[tex] = {6}^{4 + 3} [/tex]

[tex] = {6}^{7} [/tex]

[tex] = 6.6.6.6.6.6.6 \to \text{there \: are \: 7 \: numbers \: }[/tex]

No option Solution.

Answer:

[tex]x = 5[/tex]

Step-by-step explanation:

[tex]2x - 3 = 7 \\ 2x = 7 + 3 \\ 2x = 10 \\ divide \: both \: sides \: by \: 2 \\ \\ \frac{2x}{2} = \frac{10}{2} \\ x = 5[/tex]

Answer:

AB

Step-by-step explanation:

I believe because on the other side it is AE over ED so I just repeated the pattern.

Answer:

Step-by-step explanation:

[tex]multiply\\4^x*5^y*4^y*5^x=20*20^2\\4^{x+y}*5^{x+y}=20^{1+2}\\(4*5)^{x+y}=20^3\\20^{x+y}=20^3\\x+y=3[/tex]

[tex]11x-21=8x+15\\3x-21=15\\3x=36\\x=\boxed{12}[/tex]

[tex]LM=11(12)-21=\boxed{111}\\\\MN=LM=\boxed{111}\\\\LN=111+111=\boxed{222}[/tex]

Answer:

O T9,-1(x,y)

Step-by-step explanation:

$:#+#+3;3

The function for the translation of the square is f ( x + 1 , y - 9 )

A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.

A translation in the coordinate plane moves every point on a figure a given distance in a given direction. The position of any point (x, y) on the figure changes to (x + a, y + b), where a and b are real numbers.

Given data ,

Let's consider a square with vertices at (x1, y1), (x2, y2), (x3, y3), and (x4, y4) on the coordinate plane.

To translate the square 9 units down and 1 unit to the right, we add 1 to the x-coordinate of each vertex and subtract 9 from the y-coordinate of each vertex.

Therefore, the function rule that describes this translation is:

f(x, y) = (x+1, y-9)

where (x,y) are the original coordinates of any point on the square, and (x+1, y-9) are the new coordinates of that point after the translation.

Hence , the translation is f ( x + 1 , y - 9 )

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The graph is continuous.A viable solution is (10, 50) at the function t = c + 40.

The complete question is given below:-

The temperature, t, in degrees Fahrenheit, can be found by counting the number of cricket chirps, c, heard in 14 seconds and then adding 40. The equation t = c + 40 models the relationship between the temperature and the number of cricket chirps. What is true about the graph that represents this real-world scenario? Check all that apply.

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The graph is continuous.

A viable solution is (10, 50).

t = c + 40

The given equation is

t = c + 40

This equation models the relationship between the temperature and the number of cricket chirps.

Where is the temperature in degrees Fahrenheit and is the number of cricket chirps heard in 14 seconds?

According to the problem, the temperature can be found by counting the number of cricket chirps heard in 14 seconds and then adding 40.

Now, the choices to this question are

The graph is continuous.

All values of t must be positive.

A viable solution is (–2, 38).

A viable solution is (0.5, 40.5).

A viable solution is (10, 50).

The graph of the given equation is attached, it shows the linear relationship between both variables.

Notice that the graph is continuous, it doesn't have any restriction, nor "emptiness" at certain values.

Observe that the remaining choices are all solutions to the equation, but not all of them are viable because the number of cricket chirps must be positive and integer because we can't hear the sound of 0.5 cricket.

Therefore, the last choice is viable (10, 50).

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A study showed that low-intensity vibration therapy reduces pain levels in patients with fibromyalgia. What is an appropriate design for the new study? If the study consisted of 150 male and 150 female patients instead of 300 male patients?, as well as  Could your design be double-blind? are explained as

1) To get around the placebo effect, it is recommended that vibration pads be applied to the area of discomfort and that pain be measured objectively using instruments, rather than via subjective reporting. Time spent in treatment, preexisting pain levels, post-vibration pain levels throughout the day, and total daily pain intensity should all be tracked, as well as the individuals' ages.

2) To avoid any potential bias in the findings, we would split the sample evenly between male and female individuals (150 total) and use them in both the control and experimental groups (150 total).

3) Since the placebo effect may be introduced by revealing to either the subjects or the experimenters which group each individual is a part of, our design would indeed be double-blind.

Generally, a medical study is simply defined as A medical study is a trial used to evaluate the efficacy, safety, and effectiveness of potential treatments.

Medical studies  are very constrained and hidden from the public eye until results are in

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It would take Terick 12 minutes to run one mile

From the question, we are to determine the how long it would take Terick to run one mile

From the given information,

Terick ran 2/3 of a mile in 8 minutes

If Terick runs 2/3 mile in 8 minutes

Then,

He will run 1 mile in x minutes

x = 8 ÷ (2/3)

x = 8 × 3/2

x = 12 minutes

Hence, it would take Terick 12 minutes to run one mile

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Answer: 405 yd squared

Step-by-step explanation:

V = (bh)/2

b = (15 x 9)/2 = 67.5

67.5 x 12 = 810

810/ 2 = 405

Answer:

C. 15 cm

Explanation:

The radius is the same in a circle. PA and PB has same length of 8 cm.

In order to find AC, find the length of PA and PC.

Here given:

Hence solve using Pythagoras theorem:

Radius hits any tangent at 90°

So

Answer:

y = - 2x -10

Step-by-step explanation:

y = -2x + 1    Slope , m = -2    parallel slope is the same

point slope form of new line

 (y - -4)= -2 ( x - -3)

y = -2x -10

Answer:

Ok, I did this unit a little while ago but I think I solved it:

Hyp = 16

Opp = 8

Adj = 13.856

0 = 30 degrees

Step-by-step explanation:

You were on the right track, with the sin = opp/hyp, you just have to follow the equation given. So if sin = 8/16, then opp = 8 and hyp = 16 due to the transitive theorem.

Now you have to use the pythagorean theorem for the third side (adj), so:

a^2 + 8^2 = 16^2

The answer would be around 13.856 (round to what's required.)

Finally, you have to find 0. basically, since you're finding an angle measure, use the inverse of sin. the equation would look like this:

sin-1(0)=8/16

so on your calculator, you should put:

sin-1(8/16)

the angle measure is 30, meaning its a 30 60 90 triangle.

Answer:

inscribed angle

Step-by-step explanation:

When the vertex (point, corner) of an angle is ON the circle, the angle is an inscribed angle.

Answer:

123yyyyfghuhhuugghhiuhggujcgh

Answer:

219.7522cm^2

Step-by-step explanation:

To find area of black portion, we will find the area of the whole square first.

Length of square = 4xRadius of circle

= 4 x 8cm

= 32cm

Area of Square = Length x Width = 32x32

= [tex]1024cm^{2}[/tex]

Now we find the area of the 4 circles.

Area of 4 circles = 4 x Area of circle

= [tex]4\pi r^{2}[/tex]

= [tex]4\pi (8)^{2} \\=4\pi (64)\\=256\pi cm^{2}[/tex]

Area of black portion = Area of square - Area of 4 circles

= [tex]1024cm^{2} -256\pi cm^{2}[/tex]

= [tex]219.7522cm^{2}[/tex]

Using the given information, the area of figure B is 315 ft²

From the question, we are to calculate the area of figure B

In the given diagram, figure B is made up of a triangle and a square

∴ Area of figure B = Area of triangle + Area of square

Area of triangle = [tex]\frac{1}{2} bh[/tex]

Where b is the base

and h is the height

Area of square = [tex]l^{2}[/tex]

Where [tex]l[/tex] is the length of a side

In the diagram,

[tex]l = b = 15 \ ft[/tex]

[tex]h =12 \ ft[/tex]

∴ Area of figure B = [tex](\frac{1}{2}\times 15 \times 12) + 15^{2}[/tex]

∴ Area of figure B = (15×6) + 225

∴ Area of figure B = 90 + 225

∴ Area of figure B = 315 ft²

Hence, the area of figure B is 315 ft²

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The inequality that models the situation on Daniel's gas spending is 10.8 ≤ y ≤ 13.2.

The lowest number of gallons Daniel can purchase is:

= (Mean amount spent - Variance) / Cost per gallon

= (30 - 3) / 2.50

= 10.8 gallons

The highest number that can be purchased:

= (30 + 3) / 2.50

= 13.2 gallons

The inequality will therefore be:

10.8 ≤ y ≤ 13.2.

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Answer:

Step-by-step explanation:

10.8 ≤ y ≤ 13.2.

Answer:

AA similarity postulate.

Explanation:

Here given that one triangle has 70° and 30°, so other angle should be 80°.

For the other triangle same, it has 30°, 80°, so other angle should be 70°

So when two angles are equal of one triangle to another triangle.

Then the triangles are equal by the AA similarity postulate.

Answer: D) Reflection across the y-axis; [tex]270^{\circ}[/tex] counterclockwise rotation about the origin

Answer:

55 inches = 4 feet 7 inches

Step-by-step explanation:

As we know 12 inches = 1 feet

so, 55 inches = 55÷12

4 feet 7 inches

Answer:

55 inches=4 feet 7 inches

Hope it helps

Answer:

B) Prime

Explanation:

[tex]\quad \large{\boxed{\sf x^2 +64}}[/tex]

The polynomial (x² + 64) is prime because it has only two factors.

Factors: 1 and (x² + 64)

Note: Prime polynomials are those whose factors are 1 and itself. Prime polynomials cannot be factored.

Answer:

  (b)  Prime

Step-by-step explanation:

The difference of squares can be factored as ...

  a² -b² = (a -b)(a +b)

This polynomial expression can be considered to be the difference of squares.

__

For the squares x² and (-64), the linear factors will have constants equal to the root of -64, which is an imaginary number.

  √(-64) = 8i

  x² +64 = (x -8i)(x +8i)

This is the complete factorization.

However, the constants in this factorization are not integers. Hence we say this polynomial cannot be factored using integers.

When it cannot be factored using integers, it is considered prime.

Answer:

364 and 658

Step by step explanation:

i got it right

Answer:

364 & 658

Step-by-step explanation:

Answer:

68

Step-by-step explanation:

The students who study less than 2 hours are the students who study less than 1 hour and the students who study 1.5 hours.

Less than 1 hours: 0.5%

1 hour: 3%

Total percent less than 2 hours: 3.5%

3.5% of 1942 = 0.035 × 1942 = 67.97

Answer: 68

Answer:

y = - 4x - 3

Step-by-step explanation:

- 2y - 8x = 6 ( add 8x to both sides )

- 2y = 8x + 6 ( divide through by - 2 )

y = - 4x - 3 ← in slope- intercept form

Answer:

507 ft²

Step-by-step explanation:

the area (A) of a circle is calculated as

A = πr² ( r is the radius )

given diameter = 26 then r = 26 ÷ 2 = 13 , so

A = π × 13² ≈ 3 × 169 = 507 ft²