Explain how to modify the graphs of f(x) and g(x) to graph the solution set to the following system of inequalities. How can the solution set be identified?
y > x^2 – 2
y ≥ –x^2 + 5

This is a algebra2 question, no geometry stuff.

The rectangular horse pasture's largest area, in square feet, can be enclosed in \(80000m^{2}\)

Let the sides of the rectangle-shaped fence be a and b.

We have to use wire for the three sides of the fence.

\(a+b*2=800\)

Area A is given by

\(A=a*b\)

Also, we can write A as a function of b

\(A=A(b)\\=(800-2*b)b=800b-2b^{2}\)

Taking the derivative of A

\(A'=800-4b\\A'=0\\b=200m\)

Then the length of the other side

\(a=800-2*200\\=400m\)

The largest area

\(A=400*200\\=80000m^{2}\)

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Answer:

2y-4x=6

Step-by-step explanation:

it can be correct i dk

Answer:

probability of getting 2 = 1/6

probability of getting an odd number=3/6=1/2

probability of getting number less than 5  = 4/6=2/3

multiply probabilities:

1/6x1/2x2/3

=2/36

=1/18

The equation of the circle in the given graph is:

(x + 3)² + (y + 5)² = 16

Remember that the general equation of a circle of center (a, b) and radius R is:

(x - a)² + (y - b)² = R²

Here we can see that the center of the circle is at (-3, -5), and we can see that the radius of the circle is the distance between the center and any point on the circle. Then we have R = 4 units.

Then the equation of the circle is:

(x + 3)² + (y + 5)² = 4²

(x + 3)² + (y + 5)² = 16

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Since the bond is a discount bond, it's only payment is the repayment of the par value at maturity, i.e., in one year.Yield to maturity = 25%

Yield to maturity (YTM) is the total rate of return a bond will have achieved after all interest payments and principal repayments have been made.

In essence, YTM represents the internal rate of return (IRR) on a bond if held to maturity.It can be difficult to calculate yield to maturity because it makes the assumption that the bond's rate of return is applicable to all interest and coupon payments.

800 = \(\frac{1000} {1 + \:\:yield \:\:to \:maturity}\)

1 + Yield to maturity = 1.25

Yield to maturity = 25%

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Answer: x ≤ 10

Step-by-step explanation:

20 + 13x ≤ 150

13x ≤ 150 - 20

13x ≤ 130

x ≤ 130 ÷ 13

x ≤ 10

Answer:

Image attached with work shown.

161 pounds is approximately 73 kilograms.  This is calculated by multiplying 161 pounds by 0.453592 to get the equivalent weight in kilograms.

To convert 161 pounds to kilograms, first multiply 161 by 0.453592. This gives us 72.719552. Since this is not a whole number, we round it to the nearest whole number, which is 73. Therefore, 161 pounds is equal to 73 kilograms. To check this, we can multiply 73 by 0.453592, which gives us 161. Therefore, the conversion from 161 pounds to kilograms is accurate. To summarize, 161 pounds is equal to 73 kilograms, and this is calculated by multiplying 161 by 0.453592 and rounding the result to the nearest whole number. Hence, 161 pounds is approximately 73 kilograms.

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Let's solve your inequality step-by-step.

x+25>50

Step 1: Subtract 25 from both sides.

x+25−25>50−25

x>25

Answer:

x>25

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Answer:

The value of x is 4%

Answer:

I believe it is 30 toy planes

Hope this helps.

Step-by-step explanation:

toy cars - 2 = 12

toy planes - 5 = 30

total - 7 = 42

Part 1:

1. What are some danger of positioning a ladder against a wall?

a. ground needs to be level with the wall

a ladder needs to be in good shape

a. most dangers are just in case the ladder falls or you fall

a Gravity is not your friend

a. Oh! Also, if the ladder isnt steady, Once you reach the top, if you get off, It could fall leaving you stranded.

The steepest ladder I personally would climb: TWO STORIES

The shallowest ladder I personally would climb: UP TO THE ATTIC

Part 2:

1. OSHA is an agency responsible for workplace safety, read its rule and sketch a diagram that shows the proper relationship between the ladder, wall and

2. Calculate the angle that the ladder makes with the ground using a trigonometric ratio.

a. How tall is the wall? how long is the ladder? What is the measurement of the space between the foot of the ladder and teh wall? I dont know where to find these measurements but as long as you know SIN, ICOS, and TAN, You should be alright as long as you have the measurements

Sine= opposite/ hypotenuse

Cosine= adjacent/ hypotenuse

Tangent= opposite/adjacent

Part 3.

1. Watch the video below about Pierce fire trucks. Assuming a ladder truck must follow the OSHA recommendation, what's the highest floor it can safely reach? Sketch a graph and use trigonometric ratios to explain.

a. Where's the video?

2. What might be a problem with a truck having to park 25 feet away from the base of the building?

a. It will take a little bit of walking to get to the building but unless it is a firetruck or an ambulance needed to be that close to a builing, I dont think there is an issue. If there is a firetruck with a ladder and it is 25ft away from the base of the building it will be REALLY difficult to get to the building from the ladder.

3. Imagine the fire department had to evacuate the 25th floor of an office building. For firefighters to safely reach people at this height how long would the ladder have to be and how much would it weigh? Based on this, do you think Pierce should manufacture this apparatus? Explain.

a. Sorry my guy, I don’t know this at all. The ladder would have to be longer than the 25th floor, that is for sure, I just don’t know how much longer.

4. If Pierce wanted to manufacture this ladder, what might they do to make it feasible to put on a truck?

a. Well they would make it so that it can fold up to the length of where-ever the ladder is held on the fire truck. Like they would any other firetruck ladder.

Part 4.

1. What are some advantages and disadvantages of having a ladder at a very shallow angle?

advantages:

•you can get to lower places.

•probably more stable

very shallow disadvantages

•can’t get to high places

•might have to crawl on top of the ladder (I mean if it is mostly horizontal then yea)

2. what are some Advantages and disadvantages of having a ladder at a very shallow angle?

Advantages:

•you can get to high places

Disadvantages:

•Way less stable

•gravity is prone to pull you down.

•You can’t get to lower places

4. What do you think this means for the angle of the ladder they’re willing or able to climb?

a. I don’t know what to think about. Why are these questions so vague? Maybe the ladder needs to be super sturdy but that is a given when you are saving lives.

5. In 2017, 71 people died when their London apartment building caught fire: the exterior of the 24-story building was lined with flammable panels, and residents weren’t sure whter to leave their apartments or wait for help. There are many things that cities do to try and keep their citizens safe. Which of the following do you think would be the most effective in preventing tragedies like the one in London? Explain your reasoning by showing the pros and cons of each one.

I think (b) is the answer

(a). buying trucks with ladders longer that 100 feet

Pros: in theory this works because the firefighters would be able to reach high up places, like apartment building windows

Cons: The issue in the London case had nothing to do with windows and everything to do the walls and the people not knowing what to do so it isnt this answer.

(b). require tall buildings to be made of concrete

Pros: The walls aren’t flammable

Cons: I am not sure honestly

(c). training people on fire safety procedures?

Pros: people would know what to do in the London case scenario

Cons: How are you going to teach the whole city?

6. If ladders are difficult for high floors, what are some other options? What is the level of safety of each of your options? Explain using mathematical facts.

Stairs, escalators, elevators, ramps, slides, maybe even a trampoline...

If ladders are difficult to use for high floors another very common options are stairs. you see them pretty much everywhere. Escalators and elevators are also used, elevators more often that escalators.

I don't know how to make

Answer (x + 7) • (x + 2) • (x - 3) • (x - 6)

Answer:

5x^2-19x-36

Step-by-step explanation:

(2x)(3x) + (2x)(4) - (9)(3x) - (9)(4)

5x^2 + 8x - 27x - 36

5x^2 - 19x - 36

Expression as a trinomial is  6x² -19x -36.

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

Given:

An expression,

(2x – 9)(3x +4).

To express as a trinomial:

(2x – 9)(3x +4),

= 6x² -27x + 8x -36

= 6x² -19x -36

Trinomial is a quadratic function.

Therefore, as a trinomial is 6x² -19x -36.

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Answer:

A negative value or minus sign (-).

Step-by-step explanation:

A grouping symbol can be defined as a set of symbol used for organizing multiple numbers or variables in an algebraic equation.

In Mathematics, there are basically three (3) main grouping symbols and these are;

1. Parentheses ( ).

2. Braces { }.

3. Brackets [ ].

Additionally, grouping symbols are used to determine the order of operation when solving an algebraic equation.

Hence, when distributing a negative sign in front of grouping symbols, you must multiply each term inside the grouping symbols by a negative value or minus sign.

For example, given the algebraic equation X = 20 - 2(-1 + 2 - 5)

We would simplify the numbers in the parentheses (grouping symbol) by multiplying with -2;

X = 20 + 2 - 2 - 10

X = 20 - 10

X = 10

Example 2;

-(-1 - 2 + 3 - 4)

We multiply each term inside the grouping symbol by the minus sign

1 + 2 - 3 + 4 = 4.

Answer:

49

Step-by-step explanation:

The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

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The completed table with regards to terms of an expression are presented as follows;

     Condition      \({}\)              (6·x + 3) + (5·x - 4)            (-4·y - 16) - 8·y + 10 + 2·y

         Exactly 3 terms          N/A     \({}\)                              N/A

         Exactly 5 terms          N/A         \({}\)                          N/A

Includes a zero pair             No \({}\)                                   No

Uses distributive property   No                                    No

Includes a negative factor   No                                    

Has no like terms                False                                False

Condition       \(8 - \dfrac{1}{2} \cdot \left(4 \cdot x - \dfrac{1}{2} + 12\cdot x -\dfrac{1}{4} \right)\)  0.25·(8·m - 12) - 0.5·(-4·m + 2)

Exactly 3 terms       No                         \({}\)                    No

Exactly 5 terms       Yes                          \({}\)   \({}\)              No

Includes a zero pair No    \({}\)                         \({}\)              Yes

Uses the distributive property Yes            \({}\)             Yes

Includes a negative factor      Yes           \({}\)                Yes

Has no like terms                    No          \({}\)                  No

A mathematical expression is a collection of variables and numbers along with mathematical operators which are all properly arranged.

The details of the conditions in the question are as follows;

Terms of an expression

A term is a subunit of an algebraic expression which are joined together by operators such as addition or subtraction

Zero pair

A zero pair are two numbers that when added together have a zero result

Distributive property

The distributive property of multiplication states that the multiplication of a number or variable by an addend is equivalent to the sum of the multiplication of the number or variable and each member of the addend

Negative factor

A negative factor is a factor that has a negative sign prefix

Like terms

Like terms are terms consisting of identical variables with the same  powers of the variable

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The number of waffles can be made from 15 eggs are, 20 waffles.

the waffles can be calculates as follows

4 cups of fluor + 6 eggs +2 tbsp oil = 8 waffles

we need 6 eggs to make 8 waffles

So, the waffles can we make from 15 eggs = \(\frac{8}{6} X 15 = 20\) waffles

Hence, the number of waffles can be made from 15 eggs are 20 waffles.

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Answer:

5.52%

Step-by-step explanation:

Answer:

5.5226824458%

Step-by-step explanation:

Answer:

where are the numbers

Step-by-step explanation:

\(ANSWER:\)               BRAINLIEST                              

The first step is:                                 PLEASE

Change the order of the terms.

Let me show you what I am talking about.

x's (variables) must be on one side of the equation and constants on the other.

Be sure to use the opposite operation!

-x=5+3

Hope it helps! :)

Step-by-step explanation:

*\(GraceRosalia\)

The graph of f(x)= 9(x-6)/x^2-7x+6 has a vertical asymptope at x= 1.

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

First, we need to simplify and factorize the denominator as shown below:

f(x) = 9(x -6)/(x² -7x +6)

f(x) = 9(x -6)/(x²-6x -x +6)

f(x) = 9(x -6)/(x -6)(x -1)

f(x) = 9/(x -1)

The following points must be kept in mind:

For x=6, both the numerator and denominator are zero so we have a hole here. At x=1, only the denominator is zero, so we have a vertical asymptote here.

Thus the vertical asymptote of f(x) is at x=1

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GCF=4

4(4x^2/4+-28x/4+-32f/4)

=4(x^2-7x-8f)

Hello,

\(4x^2-28x-32\\\\=4(x^2-7x-8)\\\\=4(x^2-8x+x-8)\\\\=4[x(x-8)+1(x-8)]\\\\=4(x-8)(x+1)\\\)

Answer:

instructions within hardware.

Step-by-step explanation:

I think it work

Answer:

answer is c

just took the quiz

Step-by-step explanation:

True. The multiplicity of a root r of the characteristic equation of matrix A is indeed called the algebraic multiplicity of r as an eigenvalue of A.

The characteristic equation of a square matrix A is obtained by subtracting λI (where λ is an eigenvalue and I is the identity matrix) from A and taking its determinant. The roots of this equation are the eigenvalues of matrix A.

The algebraic multiplicity of an eigenvalue r refers to the number of times r appears as a root of the characteristic equation. In other words, it represents the multiplicity of r as a solution of the equation.

The algebraic multiplicity provides information about the behavior of the eigenvalue r within the matrix A. If the algebraic multiplicity of r is greater than 1, it means that r is a repeated eigenvalue and there exist multiple linearly independent eigenvectors associated with it. On the other hand, if the algebraic multiplicity is 1, r is a simple eigenvalue, indicating that there is only one linearly independent eigenvector corresponding to r.

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