Graph to solve the system: y=-3/2 and y=(1/2) × -1 At what x-values are the equations equal? ​

Answer: I can help you with this equation over messages if you would like, I cannot input my answer on this page for some reason like I usually could.

Step-by-step explanation:

Answer:

136 cm²

Step-by-step explanation:

Area of the composite figure = area of the triangle + area of the rectangle

= ½*bh + L*W

Where,

b = 16 - 8 = 8 cm

h = 13 - 7 = 6 cm

L = 16 cm

W = 7 cm

Plug in the values into the equation

Area of the composite figure = ½*8*6 + 16*7

= 24 + 112

= 136 cm²

Answer:

Georgia earns $8.35 per hour

Step-by-step explanation:

$125.25 / 15 hours = $8.35

$167.00 / 20 hours = $8.35

You can also find how much Georgia makes an hour by:

15 hours + 20 hours = $125.25 + $167.00

OR...

15x + 20x = $125.25 +$167.00

35x = $292.25

x = $292.25 / 35

x = $8.35 earned per hour

Answer:

Ok, "steeper than y = x^2" means that the function grows "faster" than y = x^2. and we can look at this by looking at the derivates, if the derivate is larger, then it is steeper.

The derivate of y = x^2 is: y´= 2x.

Now let's look at the other functions.

a) y = (1/2)*x^2

the derivate is:

y' = 2*(1/2)*x = x

this function is less steep than y = x^2

b) y = -x^2

the derivate is:

y' = -2x

So we have, in absolut value, exactly the same than for y = x^2.

The difference is that here the function decays instead of growing, so this is "less steep than y = x^2)

c) y = (2x)^2 = 4*x^2

the derivate is:

y´= 2*4*x = 8*x

this is steeper than y = x^2-

d) y = 2x^2

the derivate is:

y´= 2*2*x = 4x.

this is steeper than y = x^2

e) y = (x/2)^2 = (1/4)*x^2

the derivat is:

y' = (2/4)*x = (1/2)*x

so this is lees steep than y = x^2

The value of the coin in 2019 would be approximately $132.

To calculate the value of the coin in 2019, we need to consider the annual increase rate of 16.9% from 2010 to 2019. We can use the compound interest formula to find the final value.

Starting with the initial value of $40 in 2010, we can calculate the value in 2019 as follows:

Value in 2019 = Initial value * (1 + Rate)^n

where Rate is the annual increase rate and n is the number of years between 2010 and 2019.

Plugging in the values:

Value in 2019 = $40 * (1 + 0.169)^9

Value in 2019 ≈ $40 * 2.996

Value in 2019 ≈ $119.84

Rounding the value to the nearest dollar, we get approximately $120. Therefore, the value of the coin in 2019 would be approximately $120.

However, please note that the exact value may vary depending on the specific compounding method and rounding conventions used.

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Answer: m = 1/2

Step-by-step explanation: To find the slope of the line, we would first put the equation in y = mx + b form to get y by itself on the left side.

So divide both sides by 2 to get y = 1/2x - 4.

Now the slope is the coefficient of the x term which is 1/2.

This is a positive slope.

Answer:

54

Step-by-step explanation:

two ways:

1. find the area of the trapesium

1/2(sum of parallel sides)x height

= 1/2(7+2)×12

1/2(9x12)

1/2(108)

= 54

Or

you can divide the figure into 2 parts, rectangle and triangle,

so you find the area of triangle(1/2basexheight) and then the area of rectangle (length x width)

and then add the two areas. it should also give you same answer.

let me know if it makes sense

Answer:

It takes 14 hours for 3 cooks to prepare the dinner.

Step-by-step explanation:

An inverse variation can be represented by the following equation:

Therefore, if it takes 7 hours for 6 cooks to prepare the food for a wedding, we can substitute this information and find the value of k.

Let t be the time required to do the job.

Let p be the number of people working.

Now, knowing the constant, we can substitute it and p=3, into the function to determine how long it takes to prepare the dinner for 3 cooks.

It takes 14 hours for 3 cooks to prepare the dinner.

The correct answers are: To determine the consumer's eligibility for credit and  To set pricing for credit lines.

what is pricing?

"Pricing" refers to the process of determining the value or cost of a product or service and setting a specific price for it. Pricing decisions involve taking into account various factors such as production costs, market demand, competition, and profit margins, among others. Pricing can also involve setting

In the given question,

Based on section 1.3.2, Credit scores, on page 22 of the report, the two purposes for which credit card issuers use credit scores are:

To determine the consumer's eligibility for credit.

To set pricing for credit lines.

Therefore, the correct answers are:

To determine the consumer's eligibility for credit

To set pricing for credit lines

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The values of x that could make the triangle into different types of triangles are:

For a triangle to be valid, the sum of the lengths of any two sides must be greater than the length of the third side.

Right Triangle:

A triangle is a right triangle if it satisfies the Pythagorean theorem: a² + b² = c², where c is the longest side (hypotenuse).

6² + 8² = x²

36 + 64 = x²

100 = x²

x = 10

Acute Triangle:

A triangle is acute if the sum of the squares of the two shorter sides is greater than the square of the longest side. Since we already know that the right triangle has x = 10, we can choose a value for x that is less than 10 to form an acute triangle.

Let's take x = 9:

6² + 8² > 9²

36 + 64 > 81

100 > 81

Obtuse Triangle:

A triangle is obtuse if the sum of the squares of the two shorter sides is less than the square of the longest side. We can choose a value for x that is greater than 10 to form an obtuse triangle.

Let's take x = 11:

6² + 8² < 11²

36 + 64 < 121

100 < 121

The possible values of x for each triangle type are:

Right Triangle: x = 10

Acute Triangle: x = 9

Obtuse Triangle: x = 11

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The temperature at the bottom of the mountain is 50.9 °C.

Let's work through the given information step by step to find the temperature at the bottom of the mountain.

The temperature in the hotel is 21 °C.

The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.

Let's denote the temperature at the top of the mountain as T_top.

So, the temperature in the hotel can be expressed as T_top + 26.7 °C.

The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.

Let's denote the temperature at the bottom of the mountain as T_bottom.

So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.

Now, let's combine the information we have:

T_top + 26.7 °C = T_bottom - 3.2 °C

To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:

T_bottom = T_top + 26.7 °C + 3.2 °C

T_bottom = T_top + 29.9 °C

Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:

T_bottom = 21 °C + 29.9 °C

T_bottom = 50.9 °C

Therefore, the temperature at the bottom of the mountain is 50.9 °C.

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Step-by-step explanation:

75 = 3 x 5 x 5    in prime factorization

Answer:

Step-by-step explanation:

3x5x5

Answer:

1) -0.016 pounds per square inch per cubic inch.

2) \(\displaystyle V'(P)=-\frac{800}{P^2}\)

Step-by-step explanation:

We are given the equation \(PV=800\).

Part A)

We want to determine the average rate of change of P as V increases from 200 cubic inches to 250 cubic inches.

To find the average rate of change between two points, we find the slope between them.

Rewrite the given equation as a function of V:

\(\displaystyle P(V)=\frac{800}{V}\)

Hence, the average rate of change for V = 200 and V = 250 is:

\(\displaystyle \begin{aligned} m &= \frac{P(250) - P(200)}{250 - 200} \\ \\ & = \frac{3.2 - 4}{250 - 200} \\ \\ & = -0.016\end{aligned}\)

Therefore, the average rate of change is -0.016 pounds per square inch per cubic inch.

Part B)

We want to express V as a function of P. This can be done through simple division:

\(\displaystyle V(P)=\frac{800}{P}\)

We want to show that the instantaneous change of V with respect to P is inversely proportional to the square of P. So, let's take the derivative of both sides with respect to P:  

\(\displaystyle \frac{d}{dP}\left[V(P)\right]=\frac{d}{dP}\left[\frac{800}{P}\right]\)

Differentiate. Note that 1/P is equivalent to P⁻¹. This allows for a simple Power Rule:

\(\displaystyle \begin{aligned} V'(P) & = 800\frac{d}{dP}\left[ P^{-1}\right] \\ \\ & = -800(P^{-2}) \\ \\ & = -\frac{800}{P^2}\end{aligned}\)

Therefore, the instantaneous change of V is indeed inversely proportional to the square of P.

The requried number of dead zones in the year 2000 became 500.

The function which is in format f(x) =aˣ where a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).

Here,
If the number of dead zones in the ocean increased by a multiple of 10 from 50 in 1950 to 2000, that means it increased by a factor of 10ⁿ, where n is the number of decades between 1950 and 2000.

Since there are 5 decades between 1950 and 2000, we can write:

Number of dead zones = 50 × 10ⁿ - -- - - - - (1)

for year 2000, n = 2000 - 1950/50 = 1

Now, substitute the value of n in equation 1,
Number of dead zones = 50 × 10¹
The number of dead zones will be = 500

Thus, the requried number of dead zones in the year 2000 became 500.

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Answer: (Maybe) B

Step-by-step explanation:

The answer for this problem would be 42. However, if you take 630 and divide it by 15 (630/15) you'll get 42 as well. I'm not sure if you accidentally typed the hyphen in there (choice B) or if it's supposed to represent a negative sign. But, I believe B would be correct.

Thus, the volume of cylinder with the given height and diameter is found as 1413 ft³.

A cylinder is three-dimensional. It's not a flat thing. There are parallel circular bases in this shape. These bases have a curved face affixed to them. A cylinder in this instance has three faces. Along both end of a curved face, which rounds back to the face's origin, are two spherical bases.

Given that-

Volume of cylinder = πr²h

Volume of cylinder = 3.14 *5²*18

Volume of cylinder = 3.14*25*18

Volume of cylinder = 1413 ft³

Thus, the volume of cylinder with the given height and diameter is found as 1413 ft³.

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Answer:

A) P(Green) = 1/8, 0.125, 0r 12.5%

P(Orange) = 1/2, 0.5, or 50%

B) P(Not Yellow) = 3/4, 0.75, or 75%

Step-by-step explanation:

A) P(Green) = 1/8, 0.125, 0r 12.5%

P(Orange) = 1/2, 0.5, or 50%

B) P(Not Yellow) = 3/4, 0.75, or 75%

The equation will be  \(y=40000+16000*x\)

Solve one of the equations for a particular variable. After that, insert that into the other equation and find the variable there. To find the value for the other variable, enter that value into either equation.

Equations come in two varieties: identities and conditional equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true. Two expressions joined by the equals symbol ("=") form an equation.

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Three sets of two-thirds can be created since each whole produces a two-thirds and one half of another two-thirds.

The number 0.666 is 2/3 in decimal notation.Consequently, there are a total of 5 components to distribute. (2+3=5) Consequently, you divide the value you want to share by five.Consequently, there are a total of 5 components to distribute. 2 + 3 = 5, therefore you divide the value you want to distribute by 5.

The two most frequent splits are 2-for-1 and 3-for-1, meaning that a stockholder receives two or three shares, respectively, for each share they currently own. When a corporation divides the number of shares that stockholders own, the market price rises in proportion.

Sixteen twenty-fourths (16/24) is a fraction that is equal to two thirds (2/3).

He cut the soap into two equal pieces, making it weigh 0.333333333 pounds.

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Answer:

196515

Step-by-step explanation:

Answer: 7 = 12. 8 = 20. 9: 30 10 = 12. 11 = 24 12 = 15.

Step-by-step explanation:

Hope this helps :D I'm pretty sure they are all right if there not I'm sorry I tried

The restaurant chain paid $625,000 for the physical property and $2,500,000 for the franchise naming rights, for a total purchase price of $1,250,000.

Sale refers to the transfer of ownership of goods or services from one person to another in exchange for money or other consideration.

The total purchase price of the franchise naming rights and physical property was $1,250,000.

To calculate the amount paid for each individual element of the sale, the total purchase price must be divided by the two elements.

The total purchase price of $1,250,000 divided by two elements equals $625,000.

This means that the restaurant chain paid $625,000 for the franchise naming rights and $625,000 for the physical property.

The amount of money paid for the franchise naming rights (four times the cost of buying the physical property) can be calculated by multiplying the cost of the physical property, which is

$625,000/4 .

When the cost of the physical property is multiplied by four, the result is $2,500,000.

This means that the restaurant chain paid $2,500,000 for the franchise naming rights.

In summary, the restaurant chain paid $625,000 for the physical property and $2,500,000 for the franchise naming rights, for a total purchase price of $1,250,000.

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Answer:

C - Shopping around for the best deal

Step-by-step explanation:

You might be surprised by certain insurance deals, but by shopping around, you can find some insurance deals which are good and affordable.

The slope of the tangent line is:

a = (df(x1)/dx)

The slope of the normal one is:

a' = -1/(df(x1)/dx)

For any function y = f(x), we define the slope of the tangent line at the point x as the derivative evaluated in x.

So if we want to find the slope of the tangent line at the point (x1, y1), we just need to differentiate and evaluate in x1, then the slope will be given by:

df(x1)/dx

And the normal slope is the slope of the perpendicular line, two slopes are perpendicular if the product is -1, then:

a*(df(x1)/dx) = -1

a = -1/(df(x1)/dx)

Where df/dx reffers to the derivative of f(x).

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