Let f(x)=−2x2+3x−6 and g(x)=5−4x−8x2. Which equation shows h( x), where h(x)=f(x)+g(x)?

h(x)=3x2−x−14

h(x)=6x2+7x−11

h(x)=−10x2−x−1

h(x)=−10x2−7x−11

Answer:

22.36 feet

Step-by-step explanation:

This situation forms a right triangle, where the wire is the hypotenuse

Use the pythagorean theorem to find the hypotenuse/wire length:

a² + b² = c²

20² + 12² = c²

400 + 144 = c²

544 = c²

22.36 = c

So, the wire is 22.36 feet long

1. For Joshua's triangle; the distance of the green side of the triangle d₃ is 5.

2. For Murney's triangle, the perimeter of the triangle is 12.

3. For Grace, Abby and Chris's triangle, the perimeter of the triangle is 5 + √17 +  4√2.

4. For Chloe's triangle, the perimeter of the triangle is 11 + √65.

The distance of the triangles is calculated as follows;

For Joshua's triangle;

The length of d₁, d₂, and d₃ is calculated as follows;

d₁ = √ [(3 - 2)² + (2 - 0)²] = √5

d₂ = √ [(-1 - 3)² + (4 - 2)²] = 2√5

d₃ = √ [(-1 - 2)² + (4 - 0)²] = 5

The distance of the green side of the triangle d₃ = 5

For Murney's triangle, the perimeter of the triangle is calculated as;

BC = √ [(4 - 4)² + (6 - 2)²] = 4

AC = √ [(1 - 4)² + (2 - 2)²] = 3

AB = √ [(4 - 1)² + (6 - 2)²] = 5

Perimeter = 4 + 3 + 5 = 12

For Grace, Abby and Chris's triangle, the perimeter of the triangle is calculated as;

AC = √ [(-3 - 2)² + (2-2)²] = 5

BC = √ [(1 - 2)² + (2 + 2)²] = √17

AB = √ [(1 + 3)² + (2 + 2)²] = 4√2

Perimeter = 5 + √17 +  4√2

For Chloe's triangle, the perimeter of the triangle is calculated as;

AC =  √ [(-3 - 4)² + (2-2)²] = 7

BC =  √ [(4 - 4)² + (6-2)²] = 4

AB =  √ [(4 + 3)² + (6-2)²] = √65

Perimeter = 7 + 4 + √65 = 11 + √65

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Answer:

The portion of a population is simply a fraction of the population.

The required parameters are missing.

So, I will solve this question using the following parameters

So, the portion of the population that are eligible voters over the age of 24 is calculated by dividing the number of eligible voters over the age of 24 by the overall population.

So, we have:

\(\mathbf{Portion= \frac{400}{600}}\)

Simplify the fraction

\(\mathbf{Portion= \frac{2}{3}}\)

2/3 means two-third

Hence, the portion of the population that are eligible voters over the age of 24 is two-thirds

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Answer: Option D, “two-thirds”

Step-by-step explanation:

edge 2022

Answer:

The midpoint is halfway between two end points.

The x value is halfway between the two x values and

the y value is also halfway between the two y values.

Add both the x and y coordinates and divide by 2.

Step-by-step explanation:

To find the x-coordinate of the midpoint of a segment, add the x-coordinates of the endpoints and divide by 2.

To find the y-coordinate of the midpoint of a segment, add the y-coordinates of the endpoints and divide by 2.

Example:

Find the midpoint of the segment with endpoints (2, 8) and (-5, 12).

x-coordinate of the midpoint: (2 + (-5))/2 = -3/2

y-coordinate: (8 + 12)/2 = 30/2 = 15

Midpoint: (-3/2, 15)

Answer:

a

Step-by-step explanation:

A which is add 40x to both sides wich is A

Answer:

6

Step-by-step explanation:

Use the formula

ar^n-1

where a=6 and r=1

Answer:

not sure lol

Step-by-step explanation:

If we contrast the different parts, x1 = 3 2 = y1 and x2 = 4 4 = y2 are the results.

To show that preferences represented by min{x₁, x₂} satisfy monotonicity but not strong monotonicity, we need to demonstrate two things:

Preferences satisfy monotonicity: If xᵢ ≥ yᵢ for all i, then x ≽ y, and if xᵢ > yᵢ for all i, then x ≻ y.

Preferences do not satisfy strong monotonicity: There exist x and y such that xᵢ ≥ yᵢ for all i, but x ≠ y, and x ≰ y.

Let's address each of these points:

Monotonicity:

Suppose x and y are two bundles such that xᵢ ≥ yᵢ for all i. We need to show that x ≽ y and x ≻ y.

First, note that min{x₁, x₂} represents the minimum value between x₁ and x₂, and the same applies to y₁ and y₂.

Since x₁ ≥ y₁ and x₂ ≥ y₂, we can conclude that min{x₁, x₂} ≥ min{y₁, y₂}.

Therefore, x ≽ y, indicating that if all components of x are greater than or equal to the corresponding components of y, then x is weakly preferred to y.

However, if x₁ > y₁ and x₂ > y₂, then min{x₁, x₂} > min{y₁, y₂}. Hence, x ≻ y, indicating that if all components of x are strictly greater than the corresponding components of y, then x is strictly preferred to y.

Thus, preferences represented by min{x₁, x₂} satisfy monotonicity.

Strong Monotonicity:

To show that preferences represented by min{x₁, x₂} do not satisfy strong monotonicity, we need to provide an example of x and y such that xᵢ ≥ yᵢ for all i, but x ≠ y, and x ≰ y.

Consider the following bundles:

x = (3, 4)

y = (2, 4)

In this case, x₁ > y₁ and x₂ = y₂, so x ≻ y.

However,Thus, xᵢ ≥ yᵢ for all i, but x ≠ y, and x ≰ y.If we compare the individual components, x₁ = 3 ≥ 2 = y₁ and x₂ = 4 ≥ 4 = y₂.

Therefore, preferences represented by min{x₁, x₂} satisfy monotonicity but not strong monotonicity.

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GIVEN: The decimal numbers are given.

TO FIND: We need to find the fractions.

SOLUTION:

a) The decimal form is 0.8333

\(\frac{8333}{10000}\\\)

b)The decimal form is 0.373737

\(\frac{373737}{1000000}\)

c)The decimal form is 0.321

\(\frac{321}{1000}\)

Answer:

375+215 is greater than or equal to p

Step-by-step explanation:

quick maths

The length of the protein molecule, in meters, is 208 × 10⁻⁹m.

To find the length of the protein molecule:

Diameter of hydrogen atom = 104 × 10⁻¹⁰m

We are given that A protein molecule has an overall length of 2000 times (or 2 cross times 10 cubed times) the diameter of a hydrogen atom.

Therefore, the length of the protein molecule, in meters, is 208 × 10⁻⁹m.

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The correct question is given below:

The diameter of a hydrogen atom is about 1.04 cross times 10 to the power of negative 10 end exponent meters. A protein molecule has an overall length of 2000 times (or 2 cross times 10 cubed times) the diameter of a hydrogen atom. What is the length of the protein molecule, in meters, if it were written in scientific notation?

Answer:

6.324

Step-by-step explanation:

hope i helped you!!

Answer:

6.32

Step-by-step explanation:

d=√(2−8)^2+(−7−(−9))^2

d=√(−6)^2+(2)^2

d=√36+4

d=√40

d=6.324555

The points that would form a square are (2, 2), (2, -2), (-2, 2), (-2, -2)

From the question, we have the following parameters that can be used in our computation:

Forming a square

As a general rule

A square has equal sides and the angles at the vertices are 90 degrees

Since it must make a point with origin at its center, then the center must be (0, 0)

So, we have the following points (2, 2), (2, -2), (-2, 2), (-2, -2)

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Answer:

\(\boxed{\tt y=48}\)

Step-by-step explanation:

\(\tt \cfrac{3}{16}=\cfrac{9}{y}\)

Cross multiply:-

\(\tt 3 \times y=(9)\times (16)\)

\(\tt 3y=144\)

Divide both sides by 3:-

\(\tt \cfrac{3y}{3}=\cfrac{144}{3}\)

Simplify:-

\(\tt y=48\)

_________________

Hope this helps!

Answer:y=48 I hope this is helpful good luck have a good day

Step-by-step explanation:

3/16 = 9/y

Determine the defined range

3/16=9/y y=0 cross out the equal sign y=0

Simplify the equation using cross-multiplication

3y=144

Divide both sides of the equation by 3

y=48

Check if the solution is in the defined range

The number of pounds of grapes is 24 sold and the number of pounds of apples sold is 30.

Given that,

Apples and grapes are sold at Arianys' farm stand. The price per pound for apples is $4 while the price per pound for grapes is $3.75. 64 pounds of apples and grapes were sold for a total profit of $251.75 for Arianys.

We have to find the number of the sold apples and pounds of grapes should be calculated.

a declaration that two mathematical expressions' values are equal (represented by the symbol =).

We get the equations as,

3.75x+4y=251.75

y=-0.93x+62.93---->equation(1)

x+y=64

y=-x+64------>equation (2)

We get the points as

For equation (1),

(0,62.93) and (67.66,0)

For equation (2),

(0, 64) and (64,0)

If we draw a graph we get 2 lines intersect at a point (24, 30).

Therefore, The number of pounds of grapes is 24 sold and the number of pounds of apples sold is 30.

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a=b, The curve approaches the line y=a as x approaches infinity or negative infinity.

since the y-intercept is the point where the curve intersects the y-axis, i.e., x=0.

Since we have (0, a) as our y-intercept, then a=b, where a and b are constants.

The y-intercept, as indicated in the question, is (0, a) meaning that for the function f(x), when x=0, then f(x) = a.

The horizontal asymptote of a function is a horizontal line that the graph approaches as x approaches infinity or

negative infinity.

If the horizontal asymptote is y=b, it means that the value of y approaches b as x approaches infinity or negative infinity.

Therefore, since a=b, the curve approaches the line y=a as x approaches infinity or negative infinity.

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The obtained limit is identical to the limit that was specified. Therefore, the right answer is option C.

Generally, the equation for the limit  is  mathematically given as

\($\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \frac{4}{n} \sqrt{1+\frac{4 i}{n}}$.\)

The goal is to locate the zone whose area corresponds to the value supplied by the limit.

The definite integral of a function is what is used to compute the area of that function that is underneath its graph.

The limit,

\(\lim _{n \rightarrow \infty} \sum_{i=1}^{n} f(a+i \cdot \Delta x) \Delta x\)

where\($\Delta x=\frac{b-a}{n}$\) and \($x_{i}=a+i \Delta x$\) for the interval $[a, b]$, is equivalent to the integral

\(\int_{a}^{b} f(x) d x .\)

The given limit can also be written as

\(\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \sqrt{1+\left(\frac{4}{n}\right)} i \cdot \frac{4}{n} .\)

In this limit, \($\Delta x=\frac{4}{n}$\). It can be observed that\($f(a+i \Delta x)=\sqrt{1+\left(\frac{4}{n}\right)} i$\) which implies that \($a=1$ and $f(x)=\sqrt{x}$.\)

Solve the \($\Delta x=\frac{b-a}{n}$\)equation for as follows:

\(\begin{aligned}\frac{4}{n} &=\frac{b-1}{n} \\4 &=b-1 \\5 &=b\end{aligned}\)

Therefore, the specified limit may be expressed as an integral as follows:

\(\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \sqrt{1+\left(\frac{4}{n}\right) i} \cdot \frac{4}{n}=\int_{1}^{5} \sqrt{x} d x\)

Therefore, the limit that has been provided designates the area of the graph of "sqrt(x)" on the interval.[1,5]

However, none of the available choices are compatible with this choice. So, consider

\(a=0, f(x)=\sqrt{1+x}$ and $\Delta x=\frac{4}{n}$.\)

Find the value of $b$ as:

\($$\begin{aligned}\frac{4}{n} &=\frac{b-0}{n} \\4 &=b\end{aligned}$$\)

Find the value of x_{i} as:

\(\begin{aligned}&x_{i}=0+\frac{4}{n} i \\&x_{i}=\frac{4}{n} i\end{aligned}\)

$$

Thus, the integral \($\int_{0}^{4} \sqrt{1+x} d x$\) can be expressed using the equation \($\int_{a}^{b} f(x) d x=\lim _{n \rightarrow \infty} \sum_{i=1}^{n} f\left(x_{i}\right) \Delta x$\)

\(\begin{aligned}\int_{0}^{4} \sqrt{1+x} d x &=\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \sqrt{1+\frac{4 i}{n} \frac{4}{n}} \\&=\lim _{n \rightarrow \infty} \sum_{i=1}^{n} \frac{4}{n} \sqrt{1+\frac{4 i}{n}}\end{aligned}\)

In conclusion, The obtained limit is identical to the limit that was specified. Therefore, the right answer is option C.

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CQ

The complete Question is attached below

The value of x would be 1.

Answer:

14t^8

Step-by-step explanation:

Answer:

14t^8

Step-by-step explanation:

(a) We need to find P(X ≤ 50), where X is the maximum speed of a moped. We have:

μ = 46.8 km/h

σ = 1.75 km/h

Using standardization, we get:

Z = (X - μ) / σ

Z follows a standard normal distribution. Therefore,

P(X ≤ 50) = P(Z ≤ (50 - μ) / σ)

= P(Z ≤ (50 - 46.8) / 1.75)

= P(Z ≤ 1.8286)

= 0.9641 (rounded to four decimal places)

Therefore, the probability that the maximum speed is at most 50 km/h is 0.9641.

(b) We need to find P(X ≥ 49). Using standardization, we get:

P(X ≥ 49) = P(Z ≥ (49 - μ) / σ)

= P(Z ≥ (49 - 46.8) / 1.75)

= P(Z ≥ 1.2571)

= 0.1038 (rounded to four decimal places)

Therefore, the probability that the maximum speed is at least 49 km/h is 0.1038.

(c) We need to find P(|X - μ| ≤ 1.5σ). Using standardization, we get:

P(|X - μ| ≤ 1.5σ) = P(-1.5 ≤ (X - μ) / σ ≤ 1.5)

= P(-1.5 ≤ Z ≤ 1.5)

= P(Z ≤ 1.5) - P(Z ≤ -1.5)

= 0.8664 - 0.0668

= 0.7996 (rounded to four decimal places)

Therefore, the probability that the maximum speed differs from the mean value by at most 1.5 standard deviations is 0.7996.

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The expression which represents either the length or width is (x+3). The correct answer is option (c).

Given that the area of a rectangle which is given as x²+5x+6.

We have to find which expression represents either the length or width.

We are given an expression for the area. But we also know that the area of a rectangle is length times width. So the expression we were given, x²+5x+6 must be equal to the length of the rectangle times its width.

So, will find the factoring the expression we can see expressions for the length and the width.

Factoring x²+5x+6 we get (x+2)(x+3).

One of these factors is the width and the other is the length.

Hence, the expression represents either the length or width of the rectangle when the area of a rectangle is given as x²+5x+6 is (x+3).

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The angle ∠2 is a vertically opposite angle to the angle 145°, so they are congruent:

∠2 = 145°

The angles 1 and 3 are supplementary angles to the angle 145°, so they are equal to:

180° - 145° = 35°

∠1 = 35°

∠3 = 35°

The angle 8 is a corresponding angle to the angle 145°, so they are congruent:

∠8 = 145°

The angle ∠6 is a vertically opposite angle to the angle ∠8 so they are congruent:

∠6 = 145°

The angles 5 and 7 are supplementary angles to the angle ∠8, so they are equal to:

180° - 145° = 35°

∠5 = 35°

∠7 = 35°

Answer:

If I read your question correctly, then the answer is 54/5.

Step-by-step explanation:

6 ÷ 5/9 Orginial Equation

6/1 x 9/5 Multiply by the Reciprocal

54/5

Answer:

10z

Step-by-step explanation:

it shows it on the page

Answer:x = -5/3 or x = 1/2

Step-by-step explanation:

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

6x2+7x−5=0

Step 1: Factor left side of equation.

(3x+5)(2x−1)=0

Step 2: Set factors equal to 0.

3x+5 = 0 or 2x−1 = 0

x = -5/3 or x = 1/2

Answer:

\(x=\frac{1}{2}\)

\(x=-1\frac{2}{3}\)

Step-by-step explanation:

\(x=\frac{-b±\sqrt{b^{2} +4ac} }{2a}\)

Ignore the A before the ±, it wouldn't let me type it correctly.

6x² + 7x - 5 = 0

a = 6

b = 7

c = - 7

\(x=\frac{-(7)±\sqrt{7^{2} +4((6)(-5))} }{2(6)}\)

\(x=\frac{-(7)±\sqrt{49 +4((6)(-5))} }{2(6)}\)

\(x=\frac{-(7)±\sqrt{49 +120} }{2(6)}\)

\(x=\frac{-7±\sqrt{169} }{12}\)

\(x=\frac{-7±13 }{12}\)

Two separate equations

\(x=\frac{-7+13 }{12}\)

\(x=\frac{-7-13 }{12}\)

________________________

\(x=\frac{-7+13 }{12}\)

\(x=\frac{6 }{12}\)

\(x=\frac{1}{2}\)

\(x=\frac{-7-13 }{12}\)

\(x=\frac{-20 }{12}\)

\(x=-1\frac{2}{3}\)

Answer:

Step-by-step explanation:

C)  3X

Answer: C. 3x

Step-by-step explanation:

Since x and 3x both have x, you can add them together to get 4x (if there is x by itself, it really means that there is one of it, so it would be 1x.)

Then, you subtract 7x by 4x, which gives you the answer, 3x. You could also solving it by asking yourself: What number plus 4x equals 7x, which would give you 3x.

Monopolists are firms that have control over the supply of a particular product or service in a market. Due to this control, they can charge higher prices than competitive firms, which can result in lower quantities sold.

One reason why a monopolist's marginal revenue is less than the sales price is due to the downward-sloping demand curve. As the monopolist increases its sales price, the quantity demanded decreases. This means that the revenue generated from each additional unit sold is lower than the revenue generated from the previous unit sold. In other words, the marginal revenue earned from each unit sold is less than the sales price. This occurs because the monopolist must lower the price of all units sold to sell additional units, which lowers the average revenue earned per unit.
To illustrate this, imagine a monopolist that sells widgets for $10 each. If the monopolist lowers the price to $9, it may sell 10 widgets, resulting in revenue of $90 ($9 x 10). However, if the monopolist maintains the $10 price and only sells 9 widgets, the revenue is $90 ($10 x 9). In this case, the marginal revenue for the 9th unit sold is $0, which is less than the sales price of $10. This is because the monopolist must lower the price of all units sold to sell the additional unit, resulting in a decrease in average revenue per unit. Overall, the monopolist's marginal revenue is less than the sales price due to the downward-sloping demand curve and the need to lower prices to sell additional units.


A monopolist, unlike firms in a competitive market, has significant market power due to the absence of competition. This allows the monopolist to control the market price of their product by adjusting the quantity supplied. When a monopolist wants to sell an additional unit, they must lower the sales price for all units, including the ones already being sold. This is because the demand curve faced by a monopolist is downward-sloping, meaning that in order to sell more units, the monopolist has to decrease the price.
Marginal revenue refers to the additional revenue gained from selling one more unit of the product. As the monopolist lowers the sales price to sell more units, two things happen: the revenue increases from the additional unit sold, but there is also a loss in revenue from the units that were sold at a higher price before the price reduction.

As a result, the marginal revenue is less than the sales price, since it takes into account not only the revenue from the additional unit sold but also the loss of revenue from lowering the price of all units. This relationship between the monopolist's pricing strategy and marginal revenue is a key factor in determining the monopolist's profit-maximizing level of output and price.

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