Find the inverse for each relation: 4 points each 1. {(1,‐2), (2, 3),(3, ‐3),(4, 2)}

Answer:

Step-by-step explanation:

To find slope, use the two points formula:

\(\boxed{\frac{y_2-y_1}{x_2-x_1}}\)

We can pick any two points

(3, 12)

(5, 20)

Plug these points into the formula. The first \(x\) and \(y\) values will be \(x_1\) and \(y_1\), while the second ones will be the second values.

\(\frac{20-12}{5-3}=\frac{8}{2}\)

\(\frac{8}{2}=4\)

\(\bold{m=4}\)

This is a positive slope, so therefore, the slope is the unit rate at which the number of small packs of fruit snacks \(y\) per box \(x\) increases.

(There are two graphs)

Answer:

x+7=2

minus 7 from both sides so you get:

x=2-7

simplify

x=-5

Step-by-step explanation:

Answer: yes, because any triangle with the ratio of whole number 3:4:5 is a right triangle

Step-by-step explanation:

Answer: 1.8125 gallons = 29 cups

Step-by-step explanation:

There are 16 cups in a gallon. Therefore, to convert gallons to cups we multiply the number of gallons by 16.

The number of gallons, in this case, is: 1.8125

So, we need to multiply 1.8125 by 16

1.8125 ⋅ 16 = 29

In the final analysis, 1.8125 gallons is equal to 29 cups.

,  Hope this helps :)

Have a great day!!

Hi there!

5=5+r-2r

Combine like terms:

5=5-r

Move all the variables to the left, using the opposite operation:

r+5=5

r=5-5

r=0

r=0 is the answer

Hope it helps

~Just a gloomy gal

#CarryOnLearning

\(SilentNature :)\)

Answer:

r = 0

Step-by-step explanation:

5 = 5 +r - 2r

5 = 5 -r

c.l.t   r = 5 - 5

r = 0

Answer:

thats the kind of work u have in 7th grade thats sad

Step-by-step explanation:

The question requires that we have to state the hypothesis:

null hypothesis;H0: u1 < u2, the alternate hypothesis;H1: u1 > u2. The one tail test is what is to be used.

H0: u1 < u2

H1: u1 > u2

The one tail test statistic is what is to be used here

\(\sqrt{\frac{30.8}{17} +\frac{6.1}{15} }\)

= 1.49

The df = 17 + 15 - 2

= 30

test statistic = 18.9 - 17.4 / 1.49

= 1.007

We have the critical value on excel as T.INV(0.9,30)

=  1.310

E. At 0.1, we can conclude that  t-value (1.007) does not lies in the rejection area. We fail to reject the null hypothesis. Hence we conclude that the mean vacation with the unlimited plan is greater.

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Answer:

40% change

Step-by-step explanation:

6/10=40%

Answer:

-3xy + 18y

Explanation:

9xy−12xy+18y

=9xy+−12xy+18y

Combine Like Terms:

=9xy+−12xy+18y

=(9xy+−12xy)+(18y)

=−3xy+18y

Answer:

=−3xy + 18y

Answer:

-3xy + 18y

Step-by-step explanation:

Answer:

4 and - 2

Step-by-step explanation:

f ( x ) = x^2 - 2x - 3

f ( x ) = 5

x^2 - 2x - 3 = 5

x^2 - 2x - 3 - 5 = 0

x^2 - 2x - 8 = 0

x^2 + 2x - 4x - 8 = 0

x ( x + 2 ) - 4 ( x + 2 ) = 0

( x - 4 ) ( x + 2 ) = 0

x - 4 = 0

x = 4

x + 2 = 0

x = - 2

x has 2 values,

x = 4, - 2

The equation that represents the exponential function passing through the points (-2, 1) and (2, 16) is: y = 4(2)^x

To write the exponential equation that passes through the points (-2, 1) and (2, 16), we can use the general form of an exponential function:

y = ab^x

Where y is the dependent variable, x is the independent variable, a is the initial value or y-intercept, and b is the base of the exponential function.

Step 1: Determine the value of a.

To find the value of a, substitute the coordinates of one of the given points into the equation. Let's use (-2, 1):

1 = ab^(-2)

Step 2: Determine the value of b.

To find the value of b, substitute the coordinates of the other given point into the equation. Let's use (2, 16):

16 = ab^2

Step 3: Solve the system of equations.

We now have a system of two equations with two unknowns (a and b):

1 = ab^(-2)

16 = ab^2

We can solve this system of equations to find the values of a and b. To do this, divide the second equation by the first equation:

16 / 1 = (ab^2) / (ab^(-2))

16 = b^4

Taking the fourth root of both sides, we get:

b = ±2

Step 4: Substitute the value of b back into one of the original equations to solve for a.

Let's substitute b = 2 into the first equation:

1 = a(2)^(-2)

1 = a / 4

a = 4

Alternatively, if we had chosen b = -2, we would have obtained a = -4, and the equation would be:

y = -4(-2)^x

Both equations represent exponential functions that pass through the given points.

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Hey there! :)

Answer:

24 pages.

Step-by-step explanation:

Calculate how many pages 75% of 96 is:

96 × 0.75 = 72 pages.

Find how many pages do not have ads by subtracting the amount that have ads from the total:

96 - 72 = 24 pages.

Therefore, 1/4 of 96 or 24 pages do not have ads.

Answer:

Yes

Step-by-step explanation:

0.09kg = 90g

90g > 6g

Hi there!

yes..

1.Find how much is 0.01kg:

\(0.01=10\)

Now we know that 0.09 is in fact greater than 6g..

2.Multiply it by 0.09:

\(10\)·\(9=90\)

Therefore, 0.09kg is greater 6g..

0.09kg>6g

Answer:

\(if \: the \: inequality \: is \: (1x + 3 > 52) \\ so \: there \: is \: not \: any \: value \: satisfy \: it \: \\ \\ but \: i \: think \: there \: is \: some \: errors \: in \: the \: form \: of \: it \: \\ if \: that \: is \: right \: \\ can \: you \: send \: the \: correct \: form \: below \: in \: comment \: please\)

mean=7

Answer:

n=4

sum =11+7+2+8=28

MEAN=sum/n=28/4=7

Answer:

The Mean is 7.

Step-by-step explanation:

Mean, or average is when you find a number that is reperesentative of the set as a whole.

To find this we add up all the values and divide it by how many values there are.

11 + 7 + 2 + 8 = 28

28/4 = 7

The rate of discount on the music system during the sale is 13.58%.

The rate of discount is the percentage reduction in the original price of a product during a sale.

The regular cost of the music system is $80,999 and it was sold during the sale for $69,999.

The rate of discount, we first need to find the amount of discount.

We can do this by subtracting the sale price from the regular price:

Discount = Regular price - Sale price

Discount = $80,999 - $69,999

Discount = $11,000

So the discount on the music system during the sale is $11,000.

Next, we can calculate the rate of discount as a percentage of the regular price.

We can use the formula:

Discount rate = (Discount / Regular price) x 100%

Plugging in the values we have:

Discount rate = ($11,000 / $80,999) x 100%

Discount rate = 0.1358 x 100%

Discount rate = 13.58%

The music system was discounted by 13.58% during the sale, resulting in a sale price of $69,999.

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Answer:

P: y=-4x

N: y=x-1

L: y=4

M: y=-2x+4

Step-by-step explanation:

p: y=-4x

because the line intercepts only x

L: y=4

because the line intercepts only y

N: y=x-1

(0,-1),(1,0)

(x1,y1),(x2,y2)

M: y=-2x+4

(0,4),(2,0)

(x1,y1),(x2,y2)

eqn of aline y2-y1/x2-x1

Answer:

x = 7

Step-by-step explanation:

Given is the figure of a kite.

Opposite sides are equal... (given)

Since, measures of the angles opposite to equal sides are equal.

Also, diagonals of a kite interests at right angles.

Therefore,

\(8x \degree + (5x - 1) \degree + 90 \degree = 180 \degree \\ \\ (8x + 5x - 1) \degree = 180 \degree - 90 \degree\\ \\(13x - 1) \degree = 90 \degree\\ \\ 13x - 1 = 90 \\ \\ 13x = 90 + 1 \\ \\ 13x = 91 \\ \\ x = \frac{91}{13} \\ \\ x = 7\)

Therefore,

The magnitude of the electric field E at the midpoint between two 10-cm-diameter charged rings, with charges of -21nC and +21nC and a separation of 30 cm, can be calculated using the electric field formula for a charged ring. The magnitude of the force F on a -1.0nC charge placed at the midpoint can be determined using the equation F = qE, where q is the charge and E is the electric field.

To find the magnitude of the electric field E at the midpoint between the two rings, we can use the formula for the electric field of a charged ring:

E = (k * Q) / (2 * π * r)

Where k is the electrostatic constant (approximately 9 * 10^9 Nm^2/C^2), Q is the charge on the ring, and r is the distance from the center of the ring to the point where the electric field is being measured.

Substituting the given values into the equation, we get:

E = (9 * 10^9 Nm^2/C^2 * 21nC) / (2 * π * 0.15m)

Calculating this expression, we find that the magnitude of the electric field at the midpoint is approximately 22,192 N/C.

To find the magnitude of the force F on a -1.0nC charge placed at the midpoint, we can use the equation F = qE, where q is the charge and E is the electric field. Substituting the values, we get:

F = (-1.0nC) * (22,192 N/C)

Calculating this expression, we find that the magnitude of the force on the charge is approximately 22,192 nN.

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Answer:

x + 6y = 18

Step-by-step explanation:

Figure ABCDE is similar to figure FGHIJ and because corresponding sides have same ratio.

Similar triangles are triangles that have the same shape, but their sizes may vary.

In figure ABCDE vertices A,B,C,D,E are given so we can find their sides by applying distance formula:

D=√((x2 - x1)² + (y2 - y1)²)

With the help of this formula we can find AB;

AB = √(-1 - (-3))² + (3 - 1)²)

AB = √((-1 + 3)² + (2)²)

AB = √((2)² + (2)²)

AB = √(4 + 4)

AB = √8

AB = (√2*2) * 2

AB = 2√2

Likewise, we can find the remaining sides as;

BC = 4, CD = √10, DE = √10 and EA = 2√2

FG = √2, GH = 2,HI = 1.58114, IJ = 1.58114 and JF = √2

When the two figures are similar then the ratios of their corresponding sides are equal.

Thus, we have that;

AB/FG = BC/GH = CD/HI = DE/IJ = EA/JF

Therefore, we conclude that figure ABCDE is similar to figure FGHIJ and because corresponding sides have same ratio.

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The statement regarding regression which is true is (c) independent variables are known as predictors. The joint probability of selecting Dish A and enjoying it is 0.462. The wrong about the regression model is that (d) the analyst included all four dummy variables in the model.

In regression analysis, the independent variables (also known as predictors or input variables) are used to predict or explain the dependent variable (also known as the outcome or response variable). The independent variables are typically numerical or categorical variables that are believed to have a relationship with the dependent variable.

The probability of selecting Dish A and enjoying it is given as follows:

Probability of choosing Dish A = 0.71

Probability of enjoying Dish A = 0.65

Probability of selecting Dish B = 0.29

Probability of enjoying Dish B = 0.19

The joint probability of selecting Dish A and enjoying it is:

0.71 * 0.65 = 0.4615 (rounded to 4 decimal places)

Hence, the answer is 0.462. (rounded to 3 decimal places)

The analyst wants to analyze the impact of class standing on the GPA of students in the Gies College of Business. The analyst creates a regression model for the prediction: Ĝ = bo + b1(Freshman) + b2(Sophomore) + b3(Junior) + b (Senior).

The regression model is incorrect since the analyst included all four dummy variables in the model.

Hence, the correct option is (d) The analyst included all four dummy variables in the model.

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For groceries to be delivered, one particular grocery store charges 3% of the whole purchase price. The total price the store charges to deliver $140 worth of groceries will be $144.20.

A % in mathematics is a quantity or ratio that is stated as a fraction of 100 (from the Latin per centum, "by a hundred"). Although abbreviations "pct.", "pct.", and occasionally "pc" are also used, percent symbol, "%," is frequently used to indicate it. A % lacks dimensions and has no associated unit of measurement.

It should be mentioned that a certain grocery store charges a delivery fee equal to 3% of the entire purchase price.

Consequently, the following is the total the store will charge to deliver $140 worth of groceries:

= Percentage charged × Cost+ Cost

= 3% × $140+$140

= 0.03 × $140+$140

= $4.20+$140

The amount charged is $144.20.

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Answer:

Any value you choose for x will make the equation a TRUE statement. This type of equation is called an identity, and the solution set is all real numbers.

An identity is an equation that, regardless of the values used, is always true.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

An identity is an equation that, regardless of the values used, is always true.

For the linear equation y = mx + c, all the values of the variable x are real numbers because the quadratic function is defined.

For the quadratic equation y = (x - h)² + k, all the values of the variable x are real numbers because the quadratic function is defined.

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Answer:

ok so 3b 2 to the second power 2(a 41 4a) when a= 3 and b = 10? so it should be 8

Step-by-step explanation:

and a little 2 on the top of the 8

Answer:

Step-by-step explanation:

475 517