Explain in writing how the graph of the function h(x) = -|x-1| +4 is related to the graph of oneof the six basic functions. Sketch a graph of h(x). (6 points

Solution

The hexagon given is a regular hexagon. With apothem of 15 in

Area of a hexagon =

Let us calculate the perimeter of the hexagon

From the triangle above,

Answer:

$2122.17 (correct to the nearest cent).

Explanation:

To find the amount after 5 years, we use the compound interest formula below:

Substitute the given values:

After 5 years, you will have $2122.17 (correct to the nearest cent).

Step-by-step explanation:

Order from least to greatest. -0.36, 0.65 , - 8/15, 1/5

-0.36 = -0.36

0.65 = 0.65

- 8/15 = - 0.533333

1/5 = 0.2

least to greatest:

- 8/15 , -0.36 , 1/5 , 0.65

Leading coefficient means the number that goes multiplicating the bigger exponent ,in this case is -9 because -9 multiplies x^3

Leading coefficient is the bigger exponent in a polynomial. In this case is 3 ,because -9x^3 is the biggest number in exponent.

So finally is a third degree equation.

start by writing the equation in standard form

then give values to x

for x=2

for x=4

Answer:

x=25

vertical angles are congruent so

4x-25=75

+25

4x=100

÷4

x=25

Answer:

x = 25°

Step-by-step explanation:

We know that,

→ opposite angles are equal.

Forming the equation,

→ (4x - 25)° = 75°

Now the value of x will be,

→ (4x - 25)° = 75°

→ 4x = 75° + 25°

→ x = 100°/4

→ [ x = 25° ]

Hence, the value of x is 25°.

For PART A: the height of the pole in the right angle triangle is 30 ft and the correct option is C

For PART B: the lenght of wire 1 in the right angle triangle is 45 ft and the right option is D

A right-angled triangle is a polygon of three sides having one angle as 90 degrees(right angle).

Part A

To calculate the height of the pole in the right angle triangle, we use the formula below.

Formula:

From the diagram,

Given:

Substitute these values into equation 1 and solve for P

Part B

Similarly, fine the length of wire 1, we use the formula below.

Formula:

From the diagram,

Given:

Substitute these values into equation 2 and solve for x

Hence, the height of the pole is 30 ft and the lenght of wire 1 is 45 ft.

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y+1=6/11(x+4) is the equation in point-slope form of the line that passes through the points (7, 5) and (−4, −1).

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The given two points are  (7, 5) and (−4, −1)

m=-1-5/-4-7

=-6/-11

=6/11

The point slope intercept form is y- y₁=m(x-x₁) through (-4,-1)

y-(-1)=6/11(x-(-4))

y+1=6/11(x+4)

Hence, y+1=6/11(x+4) is the equation in point-slope form of the line that passes through the points (7, 5) and (−4, −1).

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Solution

Area of the rectangle = length x breadth

A. Write an equation to showing relationship between x and y:

The equation for the relationship between x and y is

3x + 2y = 30

Given that:

Cost of the new plumbing fixtures = $160

Labor charge per hour = $50

Let x denotes the number of hours of labor. Then,

It represents the required relation.

(a) Natural Numers: root 81 = 9

(b) Whole Numbers: 0, root 81 = 9

(c

The greatest number of plates Annie can arrange if she plans to use 8 apples and 20 apricots is 4 plates.

To find the greatest number of plates Annie can arrange, find the greatest common factor of and 20;

8 = 1, 2, 4, and 8

20 = 1, 2, 4, 5, 10, and 20

The greatest common factor of 8 and 20 is 4

Number of apples on each plate = 8/4

= 2

Number of apricots on each plate = 20/4

= 5

In conclusion, the greatest number of plates is 4 consisting of 2 apples and 5 apricots each.

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Answer:

Step-by-step explanation:

i am also confused with this one so...

hehe

hehe

hehe

Given:

Lucy needs to memorize words on a vocabulary list for Korean class.

Let the number of words on the list = x

She has memorized 20 of the words, which is four-fifths of the list.

So, we can write the following equation:

Solve the equation for (x), multiply both sides by 5/4

So, the answer will be:

The number of words on the list = 25

Answer:ez 90 degrees

Step-by-step explanation:

The momentum of the person is zero and the momentum of the bike is 1332.

A person is riding a 14 kg bike at velocity of 18m/s

The momentum of bike = mass x velocity

p = (14 + 60) 18

= 1332

The velocity of the person with respect to the bike is 0

p = mv

p = 60 x 0

p = 0

Therefore, the momentum of the person is zero and the momentum of the bike is 1332.

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The map, every 1-inch drawing represents 2.917 miles in reality, using conversation.

What is conversation ?

A unit's use depends on the context; for example, a room's area is expressed in metres, yet a pencil's length and thickness are expressed in centimetres and millimetres, respectively.

Therefore, converting one unit to another is necessary. We must first understand the link between units in order to comprehend the concept of unit conversion.

When addressing many problems in mathematics, unit conversion is necessary. Mathematical conversions are necessary to perform the necessary calculations.

In the map, every 1 inch drawing represents 2.917 miles in reality.  

the meaning of the unit rate. 3/ 10 in. = 7 /8 mi

1 in = (7/8) mi ÷ (3/10)

= 7/8 * (10/3) = 70/24

1 in = (70/24) mi

Hence the map, every 1-inch drawing represents 2.917 miles in reality.

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The volume of A cylindrical well has a radius of 8 feet and a height of 13 feet will be 2612.48 feet³ as the definition of volume says, "The space occupied within an object's boundaries in three dimensions is referred to as its volume. It is also referred to as the object's capacity."

Each object in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's boundaries in three dimensions is referred to as its volume. It is also referred to as the object's capacity.

Here,

Volume=πr²h

r=8 feet

h=13 feet

Volume=π*8²*13

π=3.14

volume=3.14*64*13

volume=2612.48 feet³

According to the definition of volume, a cylindrical well with a radius of 8 feet and a height of 13 feet will have a volume of 2612.48 feet³  "The volume of an object is the area occupied within its three-dimensional boundaries. It is additionally known as an object's capacity."

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B. graph B

Represents the quadratic equation y=x²-4x-12 with D > 0 . So the equation represents 2 zeros which comes to be 6 and -2.

What is Quadratic equation ??

A second-degree polynomial equation, which must contain at least one squared component, is what is known as a quadratic. Quadratic equations is another name for them. The quadratic equation's general form is as follows:

ax + by +c = 0

To draw the graph of quadratic equation:

Given quadratic equation,

x²-4x-12 = y

Put y = 0

So we get zeros as 6 and -2

Hence the graph will  cut the X axis at 6 and -2

We get the desired graph as graph B.

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First, divide the annual interest rate by 2 to find the semiannual interest rate:

Next, identify the number of periods when the 2.75% increase will be appliad. In a period of 10 years, there are 20 semiannual periods.

Each period, the initial investment gets multiplied by a factor of:

Over 20 semiannual periods, the initial investment will get multiplied by a factor of:

Therefore, after 10 years, the amount of money in the account is:

To the nearest cent, the amount of money in the account will be:

Milo needs to cover 12 miles in 48.6 minutes, as the percentage.

What is percentage?

A percentage that represents a tenth of a quantity. One percent, denoted by the symbol 1%, is equal to one-hundredth of something; hence, 100 percent denotes the full thing, and 200 percent designates twice the amount specified. A portion per hundred is what the percentage denotes. The percentage refers to one in a hundred. The % sign is used to denote it.

Milo can run 12 miles in 60 minutes.

She needs to reduce the time by 19%

So we have to calculate the 19%of 60

= 19/100* 60

=57/5 minutes

= 11.4

So the time he needs to achieve will be 60-11.4 = 48.6 minutes.

Hence, he needs to cover 12 miles in 48.6 minutes.

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This pattern is additive because when we add 6 to x we get y

12+6=18

24+6=30

48+6=54

60+6=66

so the answer is D

Answer: 9.7 seconds

Step-by-step explanation:

[tex]16t^2 =1503\\\\t^2 =1503/16\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7[/tex]

Answer:

The polar form is

r = √11a

Explanation:

The given equation is

x^2 + y^2 = 11a

Recall,

x = rcosθ

y = rsinθ

By substituting these values into the equation, we have

(rcosθ )^2 + ( rsinθ)^2 = 11a

r^2cos^2θ + r^2sin^2θ = 11a

r^2cos^2θ + r^2sin^2θ - 11a = 0

By factorizing r^2, we have

r^2(cos^2θ + sin^2θ) = 11a

Recall, cos^2θ + sin^2θ = 1

Thus, we have

r^2 = 11a

Taking the square root of both sides,

r = √11a

The polar form is

r = √11a

Answer:

[tex]1\frac{5}{7}\text{ lb}[/tex]

Step-by-step explanation:

First, convert [tex]2\frac{1}{7}\text{ lb}[/tex] to an improper fraction (to make the math easier):

[tex]2\frac{1}{7}=\frac{15}{7}\text{ lb}[/tex]

Next, since the question asks about how much salmon is left over, find that fraction. After cooking one-fifth of the salmon, four-fifths remain:

[tex]\frac{5}{5}-\frac{1}{5}=\frac{4}{5}[/tex]

Then, multiply the two:

[tex]\frac{15}{7}\times\frac{4}{5}=\frac{60}{35}\text{ lb}[/tex]

Finally, convert back to a mixed fraction:

[tex]\frac{60}{35}\text{ lb}=1\frac{25}{35}\text{ lb}=1\frac{5}{7}\text{ lb}[/tex]

The amount of homework received by an RSM teacher and the time that the teacher spent grading it is the case of directly proportional.

What are direct and indirect variations ?

One quantity directly changes in response to a change in another quantity, which is referred to as direct variation. This suggests that if one quantity increases, the other will follow suit and rise in proportion. In a similar manner, if one quantity declines, the other amount also declines.

When one parameter declines while the other rises or vice versa, this is known as inverse variation. This means that the magnitude or absolute value of one item decreases as the other quantity rises, resulting in a constant value for their product. This item is also referred to as the proportionality constant.

Direct proportion occurs when one value increases and the other also increases

As the amount of homework received by an RSM teacher increases, the time that the teacher spent grading it also increases.

So, this is a case of directly proportional.

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Answer:

(1,0) (0,-2)

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

[tex]4x-12 \leq 16+8x \\ \\ -12 \leq 16+4x \\ \\ -28 \leq 4x \\ \\ 4x \geq -28 \\ \\ x \geq -7[/tex]