I need help please very appreciate it

Answer:

The correct equation to solve for "x" is:

\(x^2+8x-308=0\)

(first option in your list)

Step-by-step explanation:

Let's say that since the integers in question are separated on the number line, we can call them x, and y with for example y being the larger one (two the right of x on the number line). Since the two integers are 8 units apart, then we can write in mathematical form:

y - x = 8 (because y is the larger of the two numbers)

and solving for "y" we get:

y = x + 8

we also know that their product is 308, which we can write in the following form:

x * y = 308

Now, replacing y by "x + 8", we get:

\(x*y=308\\x\,(x+8)=308\\x^2+8x=308\\x^2+8x-308=0\)

Therefore, the correct equation is the first one listed among your answer options.

Answer:

x2 + 8x – 308 = 0

Step-by-step explanation:

its A on edge

Answer:

Step-by-step explanation:

Answer:B

Step-by-step explanation:

The extended ring R[a], obtained by adjoining an element a to a ring R, is indeed a ring isomorphic to R. This is demonstrated by showing that R[a] satisfies the properties of a ring and by constructing an isomorphism between R[a] and R.

To prove that adjoining an element a to a ring R gives a ring isomorphic to R, we need to show that the extended ring R[a] satisfies the definition of a ring and that there exists an isomorphism between R[a] and R.

First, let's define the extended ring R[a]. The elements of R[a] are represented as polynomials in a with coefficients from R. An element in R[a] can be written as:

R[a] = {r₀ + r₁a + r₂a² + ... + rₙaⁿ | r₀, r₁, r₂, ..., rₙ ∈ R}

where n is a non-negative integer and r₀, r₁, r₂, ..., rₙ are coefficients from R.

Now, let's prove the two main properties of a ring for R[a]:

Closure under addition and multiplication:

For any two elements (polynomials) p = r₀ + r₁a + r₂a² + ... + rₙaⁿ and q = s₀ + s₁a + s₂a² + ... + sₘaᵐ in R[a], the sum p + q and product p * q are also elements of R[a]. This can be proven by applying the distributive property and associativity of addition and multiplication.

Existence of additive and multiplicative identities:

The additive identity in R[a] is the polynomial 0, and the multiplicative identity is the polynomial 1. These identities satisfy the properties of an additive and multiplicative identity, respectively, when added or multiplied with any element in R[a].

Next, we need to show that there exists an isomorphism between R[a] and R, which means there is a bijective map that preserves the ring structure.

Consider the function φ: R[a] → R defined as φ(r₀ + r₁a + r₂a² + ... + rₙaⁿ) = r₀. This function maps each polynomial in R[a] to its constant term.

We can prove that φ is an isomorphism by verifying the following:

a) φ preserves addition: φ(p + q) = φ(p) + φ(q) for any p, q in R[a].

b) φ preserves multiplication: φ(p * q) = φ(p) * φ(q) for any p, q in R[a].

c) φ is bijective: φ is both injective and surjective.

The proofs for these properties involve applying the distributive property and associativity of addition and multiplication, and considering the coefficients of the polynomials.

Hence, we have shown that adjoining an element a to a ring R gives a ring isomorphic to R, denoted as R[a] ∼ R.

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The request is to download a document and complete the proof of the Triangle Sum Theorem. After finishing the proof, the completed file should be saved for upload on a webpage.

The Triangle Sum Theorem states that the sum of the interior angles of a triangle is always equal to 180 degrees. To complete the proof, it is necessary to provide a logical and coherent argument that supports this theorem. The document provided likely contains a partially completed proof, and the task is to finish it.

The proof of the Triangle Sum Theorem typically involves using the properties of parallel lines and alternate interior angles. By extending one side of the triangle, parallel lines can be created that intersect with the other sides. This forms interior and exterior angles that can be related to the interior angles of the triangle. Through geometric reasoning and the use of angle relationships, the proof should demonstrate that the sum of the interior angles of a triangle equals 180 degrees.

Once the proof is completed, the document should be saved for upload on the webpage specified, most likely for evaluation or further review. It is important to follow any instructions provided regarding the file format or naming conventions for the upload.

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The absolute value of the PED is greater than 1, which means that the demand for oranges is elastic at this price point.

The 10% increase in price leads to a 20% decrease in quantity demanded, indicating that consumers are sensitive to price changes and will decrease their purchases by a relatively larger proportion compared to the change in price.

The price elasticity of demand measures the change in consumption of a product in response to a price change. If the price elasticity of a good is infinite, it is perfectly elastic (if demand changes substantially even with minimal price change).

If the price elasticity is greater than one, the good is elastic; if it is less than one, the good is inelastic. A good is perfectly inelastic if its price elasticity is 0 (no amount of price change causes a change in demand).

PED = percentage change in quantity demanded / percentage change in price

Using the given values, the percentage change in price is:

%Δprice = (new price - old price) / old price x 100%

%Δprice = ($1.10 - $1) / $1 x 100%

%Δprice = 10%

The percentage change in quantity demanded is:

%Δquantity demanded = (new quantity demanded - old quantity demanded) / old quantity demanded x 100%

%Δquantity demanded = (800 - 1000) / 1000 x 100%

%Δquantity demanded = -20%. This negative sign indicates that the change in quantity demanded is a decrease.

Thus, the PED can be calculated as:

PED = %Δquantity demanded / %Δprice

PED = (-20% / 10%)

PED = -2

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Answer:

9 - (2/x) is the answer~

Step-by-step explanation:

The expression “9 less than the quotient of 2 and x” can be written as 9 - (2/x).~

I hope this helps~.

uwu uwu uwu~

Answer:

He needs to sell 200 ribbons to break even.

Step-by-step explanation:

The break even point is where the expenses are equal to the earnings, so you can write an expression that indicates that Lucas' expenses are equal to his earnings:

46+0.02x=0.25x

Now, you can solve for x to find the answer:

46=0.25x-0.02x

46=0.23x

x=46/0.23

x=200

According to this, the answer is that he needs to sell 200 ribbons to break even.

a. The distribution of X is normal with mean 9.7 ppm and standard deviation 1.5 ppm: X ~ N(9.7, 1.5)

b. The distribution of the sample mean is also normal with mean μ = 9.7 ppm and standard deviation σ/√n = 1.5/√36 = 0.25 ppm: ~ N(9.7, 0.25)

c. We need to find P(X > 9.4).Looking up the standard normal distribution table, we find P(Z > -0.2) = 0.5793. Therefore, the probability that one randomly selected city's waterway will have more than 9.4 ppm pollutants is 0.5793.

d.  Therefore, the probability that the average amount of pollutants is more than 9.4 ppm is 0.8849.

e. Yes, the assumption that the distribution is normal is necessary because we are using the central limit theorem to approximate the distribution of the sample mean. The central limit theorem applies only when the sample size is sufficiently large (n ≥ 30) and the population distribution is approximately normal.

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Answer:

21600/a

Step-by-step explanation:

800/a *9

7200/a

21600/a

First, times 800 divided by a by 9.

Then, we get 7200/a.

Lastly, times it by 3.

The answer is 21600/a

Sussy mcsuser
  Poop noobs

Answer:

The last graph

Step-by-step explanation:

So, what you do is plug in some points.

Let's try x = 0.

f(x) =  3\(\sqrt{0}\) - 2 = -2

First point is (0,-2)

There is only one graph with this point at that is the last graph.

Answer:

y = x + 3

Step-by-step explanation:

In point slope form, the equation of line is,

\(y - b = m(x - a)\)

where a and b correspond to the x and y coordinates of the given point and m is the slope

Since the line is parallel to y = x+4, it has the same slope so m = 1 since the slope of y = x+4 is 1

and putting the values of the point (-1,2), we get,

y - 2 = x - (-1)

y-2 = x + 1

y = x + 3

Answer:

41,500 people

Step-by-step explanation:

First you find 3% of 36,000= 1,080

Then you do 1080 x 5= 4,500

Then finally do 36,000 + 4,500= 41,500

Answer:

6+18

Step-by-step explanation:

Use PEMDAS, or standard order of operations for basically all levels of math.

In order from first to last, solve:

Parenthesis

Exponents/Roots

Multiplication/Division

Addition/Subtraction

Exponents, Multiplication, or Addition are not to be prioritized over Roots, Division,  or Subtraction. Solve left to right in that situation.

Because 6+18 is in parenthesis, solve that first.

Answer:

3/4>2/3

Explanation:

3/4 is the same as 3*3/4*3, which equals 9/12.

2/3 is the same as 2*4/3*4, which equals 8/12.

Thus, 3/4=9/12 and 2/3=8/12.

9/12 > 8/12, and since 3/4=9/12 and 2/3=8/12, 3/4>2/3.

Hope this helps.

Answer:

12

Step-by-step explanation:

So first, when z is divded by 6 we get 4 left.

So an example for z could be 24.

(24 / 6 = 4)

When z is divded by 2, it would be 12

24 / 2 = 12

(I hope this helps and that you have a nice day!)

Answer:

The general equation of a straight line is y = mx + c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis. The equation of a straight line with gradient m and intercept c on the y-axis is y = mx + c.

Step-by-step explanation:

A factor is a number that divides another number, leaving no remainder. In other words, if multiplying two whole numbers gives us a product, then the numbers we are multiplying are factors of the product because they are divisible by the product.

factor of   4x² + 49 is (2x)^2+(7)^2

                 x² + 1     is   x^2+(1)^2

                 36 + 100a²    is (6)^2=(10a)^2

                 16² +25     is (4)^2+(5)^2

                  18y² +8    is(\(\sqrt{18}\)  y)^2+(\(\sqrt{8}\))^2

                  x² + y²     is (x)^2+(y)^2

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please look at the picture i sent

Answer:

4(a) 6

4(b) 4

4(c) 7

Q5 = 4

Step-by-step explanation:

4(a) = 3/3 = 18

1/3 = 18 ÷ 3 = 6

4(b) = 4/4 = 16

1/4 = 16 ÷ 4 = 4

4(c) = 5/5 = 35

1/5 = 35 ÷ 5 = 7

Q5 = 3/3 = 12

1/3 = 12 ÷ 3 = 4

1000 cubic centimeters would need to be placed in a tub of water to displace 1 Lter of water

Conversion of units simply refers to the method used in determining the equivalent of one unit in relation to another.

From the information given, we have that;

Number of cubic centimeters that would be placed in a tub of water to displace 1 L of water

So, we have that there is 1 liter of water in the tub

In order to displace, you need to put something in that is the same amount

Now, let's convert the units

1 liter = 1000 cubic cm

Hence, you need 1000 cubic cm to displace 1 liter

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Rewriting the left hand side,

csc²t - cost sec t

= (1/sin²t)-(cost)(1/cost)

= 1/sin²t - 1

= 1/sin²t - sin²t/sin²t

= (1-sin²t)/sin²t

= cos²t/sin²t

= cot²t

The process of breaking down a complex argument or problem into smaller, more manageable components is known as "analysis" or "analytical reasoning."

This approach allows us to examine the various parts of a complex issue individually, facilitating a deeper understanding and easier solution finding.

Analytical reasoning involves dissecting a problem or argument into its constituent elements, identifying relationships between them, and evaluating their individual roles and contributions. By breaking down the problem, we can focus on each component separately, which can lead to clearer insights and more effective problem-solving strategies.

This method of analysis is commonly used across various disciplines, including mathematics, science, philosophy, and critical thinking. It helps us understand complex phenomena, solve intricate equations, and make informed decisions based on careful examination.

The benefits of breaking down a big argument or problem into smaller components are manifold. It helps to identify patterns, uncover hidden relationships, and clarify any ambiguities or misconceptions. By addressing each component individually, we can apply specific strategies or methods that are relevant to that particular element, making the problem more approachable and manageable.

Overall, The process of breaking down a complex argument or problem into smaller, more manageable components is known as "analysis" or "analytical reasoning." It enables us to grasp intricate concepts, develop logical reasoning, and arrive at well-structured and comprehensive solutions.

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The graph of the cubic equation, f(x) = x³ - 10x² + 16x, is shown below

From the question, we are to determine graph of the given cubic equation.

The given cubic function is

f(x) = x³ - 10x² + 16x

To graph the equation, we will determine the value of f(x) for certain values of x

When x = 0

f(x) = x³ - 10x² + 16x

f(x) = (0)³ - 10(0)² + 16(0)

f(x) = 0

When x = 2

f(x) = x³ - 10x² + 16x

f(x) = (2)³ - 10(2)² + 16(2)

f(x) = 0

When x = 5

f(x) = x³ - 10x² + 16x

f(x) = (5)³ - 10(5)² + 16(5)

f(x) = -45

When x = 8

f(x) = x³ - 10x² + 16x

f(x) = (8)³ - 10(8)² + 16(8)

f(x) = 0

When x = 10

f(x) = x³ - 10x² + 16x

f(x) = (10)³ - 10(10)² + 16(10)

f(x) = 160

Using the determined points above, the graph of the cubic equation is shown below

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The first one is 2

the second one is 6

Answer:

150 cm2

Step-by-step explanation:

one square would simply be base x height our base is 5 and height is 5 so i multiply that and get 25 since this is a cube all sides are equal so I will simply just multiply 25 by the number of sides since a cube has 6 sides our equation to get the answer would be 25 x 6 = 150 so 150 is our answer! Hope this is a good explanation! Have a good day!

Answer:

slope = undefined

Step-by-step explanation:

Find the slope of the line: (5,-3), (5,8)

slope = change in y / change in x

slope = ( -3 - 8) / (5 - 5)

slope = -11/0

slope = undefined

These points graph a vertical line.

answer:

the slope is undefined.

step-by-step explanation:

there is an equation (y2-y1)/(x2-x1) that allows for you to determine the slope. since this line is vertical, the slope is defined because if you plug the points into the equation, you would be dividing by 0.

Answer:

First, solve for two points as an equation instead of an inequality to find the boundary line for the inequality.

For:

x

=

0

y

=

0

+

5

y

=

5

Or

(

0

,

5

)

For:

x

=

−

2

y

=

−

2

+

5

y

=

3

Or

(

−

2

,

3

)

We can now plot the two points on the coordinate plane and draw a line through the points to mark the boundary of the inequality.

The boundary line will be solid because the inequality operator contains an "or equal to" clause.

graph{(x^2+(y-5)^2-0.125)((x+2)^2+(y-3)^2-0.125)(y-x-5)=0 [-20, 20, -10, 10]}

Now, we can shade the left side of the line.

graph{(y-x-5) >= 0 [-20, 20, -10, 10]}

Answer:

Figure A i don't know

Step-by-step explanation:

Answer:

the answer is A. Figure A

Plot the function

on the graph to Justify that graph intersect the x-axis.

So from the graph it can be justify the function intersect the x-axis at point (1.262,0).