After a reflection of the figure, the image vertices are A'(5, 1), B'(3, –1), and C'(7, –1). What is the line of reflection?
A. y = 2
B. x = 2
C. y = - x
D. y = 2x

Answer:

The slope is 3/4

Explanation:

If you subtract (7,5) - (3,2)

You get (4,3)

Slope is rise over run or y/x

So you flip the to numbers.

So the slope is 3/4

Answer:

19 over 2

19

2

or

19/2

Hope this helps

Step-by-step explanation:

Answer:

Exact Form:

19 /2

Decimal Form:

9.5

Mixed Number Form:

9  1/2

Answer:

11.2

Step-by-step explanation:

Answer:

Angle 1 and angle 2 add to 180 degrees

Angle 1 and angle 3 are equal

Angle 3 and angle 4 add to 180 degrees

Angle 2 and angle 4 are equal

Step-by-step explanation:

Answer:

The answer are

add up to 180°

Equal

add up to 180°

Equal

The given triangle is isosceles, so the two remaining angles in the triangle both have measure xº. The interior angles of any triangle sum to 180º, so that

58º + xº + xº = 180º

58 + 2x = 180

2x = 122

x = 61

Angles y and z are supplementary to angle x, so that

xº + yº = 180º

and

xº + zº = 180º

and consequently, y = z. In particular, we get

y = 180 - 61

y = 119

and so

z = 119

Answer:

6

Step-by-step explanation:

2(3) = 6

Answer:

6

Step-by-step explanation:

Replace the variable with the given value and evaluate.

[tex]2a\\\\a=3\\\\2(3)=\\\\\boxed{6}[/tex]

Hope this helps.

Answer:

ok so if the girl added 13 gallons of gas 11 gallons were already there, if 14 gallons then 10 gallons were there, if 13,4 then 10,6 gallons were already there

[tex]\boxed{36100}[/tex]

The probability that one or more machine failures occur in a given day, given that the company experienced ten failures in the past 100 days, is option c) 0.095.

To calculate the probability of one or more machine failures occurring in a given day, we can use the concept of the complement rule. The complement rule states that the probability of an event occurring is equal to 1 minus the probability of the event not occurring.

Given that the company experienced ten failures in the past 100 days, we can calculate the probability of no failures occurring in a day by dividing the number of failure-free days by the total number of days:

No. of failure-free days = Total days - No. of failures = 100 - 10 = 90

Now, the probability of no failures in a day is calculated by dividing the number of failure-free days by the total number of days:

Probability of no failures = No. of failure-free days / Total days = 90 / 100 = 0.9

Finally, to find the probability of one or more failures occurring in a day, we use the complement rule:

Probability of one or more failures = 1 - Probability of no failures = 1 - 0.9 = 0.1

Therefore, the probability that one or more machine failures occur in a given day is 0.1, which corresponds to option c).

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Answer:

7=7 and 7=7

infinite solutions?

Step-by-step explanation:

Let's solve for x.

3x+4y+7=3x+4y+7

Step 1: Add -3x to both sides.

3x+4y+7+−3x=3x+4y+7+−3x

4y+7=4y+7

Step 2: Add -4y to both sides.

4y+7+−4y=4y+7+−4y

7=7

Step 3: Add -7 to both sides.

7+−7=7+−7

0=0

Let's solve for y.

3x+4y+7=3x+4y+7

Step 1: Add -4y to both sides.

3x+4y+7+−4y=3x+4y+7+−4y

3x+7=3x+7

Step 2: Add -3x to both sides.

3x+7+−3x=3x+7+−3x

7=7

Step 3: Add -7 to both sides.

7+−7=7+−7

0=0

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The quotient of the given rational expressions, when reduced to its lowest terms, is [tex]${\frac{(x+2)(x-2)}{x+1}}$.[/tex]

The given rational expressions are:

[tex]$\frac{x^2-4}{x+3}$[/tex] and[tex]$\frac{4x+4}{4x+12}$[/tex]

Factoring numerator and denominator of the expression

[tex]$\frac{x^2-4}{x+3} = \frac{(x+2)(x-2)}{x+3}$ $\frac{4x+4}{4x+12} = \frac{4(x+1)}{4(x+3)}$\\[/tex]

Invert the second fractionAfter inverting, the second fraction becomes

[tex]$\frac{4(x+3)}{4(x+1)}$[/tex]

Multiply the two fractions together

By multiplying the fractions together, we get

[tex]$$\frac{(x+2)(x-2)}{x+3} \cdot \frac{4(x+3)}{4(x+1)}$$[/tex]

Simplifying the expression we get,

[tex]$$\frac{4(x+2)(x-2)(x+3)}{4(x+1)(x+3)} = \frac{(x+2)(x-2)}{x+1}$$[/tex]

Reduce the resulting fraction to its lowest terms.Rewriting the above expression in factored form, we get

[tex]$\frac{(x+2)(x-2)}{x-(-1)}$[/tex]which becomes [tex]$\frac{(x+2)(x-2)}{x+1}$[/tex]

Therefore, the main answer is [tex]$\boxed{\frac{(x+2)(x-2)}{x+1}}$.[/tex]

Thus, the quotient of the given rational expressions, when reduced to its lowest terms, is [tex]$\boxed{\frac{(x+2)(x-2)}{x+1}}$.[/tex]

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Graph A: Non-linear function

Graph B: Not a function

Graph C: Linear function

Graph A and Graph B are not functions and Graph C is a linear function. The graph will be non-linear if it has a degree greater than or equal to two. If the graph is a line that goes through all the points, it is a linear function.

Graph A and Graph B cannot be a function because they do not pass the vertical line test, which means there are multiple y-values for some of the x-values.

Graph C is a straight line passing through all the points, thus it is a linear function.

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The expressions are another way to write the following:

(-5-√²+3√3)(-+√3-2-√3) = 12 (NO)

12(6√4 + 3) = 180 (NO)

√√25 = √5 (YES)

[1]^(1/2) = 1 (YES)

[1]^(1/2) + 11 - 14 = -2 (NO)

The expression (-5-√²+3√3)(-+√3-2-√3) is expanded and simplified as follows:

(-5-√²+3√3)(-+√3-2-√3) = (-5)(-) + (-5)(√3) + (-√2)(-) + (-√2)(√3) + (3√3)(-) + (3√3)(√3) + (√3)(-) + (√3)(√3)

= 5 - 5√3 + √6 - √6 - 3√3 + 9 - √3 - 3

= 11 - 8√3.

12(6√4 + 3): By simplifying this expression, we get 12(6√4 + 3) = 12(12 + 3) = 12(15) = 180.

The expression √√25 is simplified as the square root of the square root of 25, which is equal to √5.

The statement "in radical form and all the real cube root of 125" suggests expressing the number 125 in terms of its real cube root, which is 5. Therefore, the expression is equal to 5.

[1]^(1/2): Any nonzero number raised to the power of 1/2 gives its positive square root. Therefore, [1]^(1/2) = √1 = 1.

[1]^(1/2) + 11 - 14: From the previous explanation, we know that [1]^(1/2) = 1. So, the expression simplifies to 1 + 11 - 14 = -2.

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Answer:

24 minutes

Step-by-step explanation:

12/30=.4

.4 x 60=24

Answer:

8,16,24,32,40,48,56,64,72,80,88,96,104,112,120,128,136,144,152,160,168,176,184,192

6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96

YOUR WELCOME MARK ME AS A BRAINLIST

Answer:

6,12,18,24,30,36,42,48,54,60,66,72

8,16,24,32,40,48,56,64,72,80,88,96

Step-by-step explanation: hope i helped

Answer:

what

Step-by-step explanation:

is ib the pic

The range of the given function represented by the graph that is shown is: D. y ≥ 0.

In the graph given, the values of the range starts from point 0 on the y-axis and above.

Therefore, the range of the given function represented by the graph that is shown is: D. y ≥ 0.

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Question: How does advertising expenditure (X_2) affect the quantity demanded (Q_t) based on the given demand function?

To investigate the relationship between advertising expenditure (X_2) and the quantity demanded (Q_t) using the given demand function, we need to understand the steps involved:

Begin by understanding the demand function: The demand function is expressed as Q_t = a_o + α_1 ln P_t + a_2 X_1 + E_Dt. It represents the quantity demanded (Q_t) as a function of market price (P_t), an exogenous variable X_1, and an error term E_Dt.

Introduce the new exogenous variable: In this case, we introduce advertising expenditure (X_2) as an additional exogenous variable. We want to investigate how this variable affects the quantity demanded.

Analyze the coefficient: The coefficient a_2 in the demand function represents the impact of X_1 on the quantity demanded. However, since we introduced a new exogenous variable X_2, we need to estimate the impact of X_2 on Q_t. By analyzing the coefficient a_2, we can determine the direction and magnitude of this relationship.

Conduct statistical analysis: To quantify the relationship between advertising expenditure (X_2) and the quantity demanded (Q_t), statistical analysis such as regression can be performed. By estimating the coefficients and conducting hypothesis tests, we can determine if X_2 has a statistically significant impact on Q_t.

Interpret the results: Based on the statistical analysis, we can interpret the results and draw conclusions regarding the relationship between advertising expenditure (X_2) and the quantity demanded (Q_t). The coefficient estimate and its statistical significance will provide insights into the direction and strength of this relationship.

In summary, by incorporating advertising expenditure (X_2) into the demand function and conducting statistical analysis, we can assess its impact on the quantity demanded (Q_t) and draw meaningful conclusions regarding the relationship between the two variables.

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The complete question may be like:

5 marks] Consider the following demand function for the quantity demanded of product Q_t as a function of its market price P_t:

Q_t = a_o + α_1 ln P_t + a_2 X_1 + E_Dt

where a_o, α_1, a_2, and E_Dt are parameters. X_1 represents an exogenous variable that affects the quantity demanded.

Now, let's imagine that you are a researcher studying the demand for a specific product, and you want to investigate the impact of advertising expenditure (represented by an exogenous variable, X_2) on the quantity demanded.

Formulate a question that addresses the relationship between advertising expenditure (X_2) and the quantity demanded (Q_t) based on the given demand function.

Answer:

10

Step-by-step explanation:

The slope of a graph is the same as the constant of proportionality of the equation.

slope= rise/run= 60/6=10

Answer:

S

Step-by-step explanation:

S

Answer: about $4.67 a month

Explanation: If you figure out he makes a year her makes $56 and that's by multiplying 14 and 4, then you divide 56 by 12 and the you get a decimal so it'll round to $4.67

Answer: X = 2

Step-by-step explanation:

8.68x - 2.3x = 17 - 4.24

6.38x = 12.76

x = 2

The Finance charge for Zeke's bobsled purchase is $197.50.

To find the finance charge for Zeke's bobsled purchase, we need to calculate the total amount he will pay in monthly payments over the 2.5-year period and subtract the initial purchase price.

Given:

Purchase price (bobsled) = $1250

Down payment = $450

Monthly payment = $48.25

Duration of payments = 2.5 years

Step 1: Calculate the total amount paid in monthly payments.

First, we need to determine the total number of monthly payments Zeke will make over 2.5 years. Since there are 12 months in a year, the total number of payments will be 2.5 years * 12 months/year = 30 payments.

Next, we calculate the total amount paid in monthly payments by multiplying the monthly payment by the number of payments:

Total monthly payments = Monthly payment * Number of payments

Total monthly payments = $48.25 * 30 = $1447.50

Step 2: Calculate the finance charge.

The finance charge is the difference between the total amount paid in monthly payments and the purchase price:

Finance charge = Total monthly payments - Purchase price

Finance charge = $1447.50 - $1250 = $197.50

Therefore, the finance charge for Zeke's bobsled purchase is $197.50.

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Answer:

Option (B)

Step-by-step explanation:

From the graph attached,

If the parent function 'f' is shifted 4 units to the right,

g(x) = f(x- 4)

By shifting the parent function right vertical asymptote will come to x = 5 from x = 1.

Vertical asymptote y = 2 will remain same for the shifted function.

Therefore, function g(x) will have the asymptotes;

Vertical asypmtote: x = 5

Horizontal asymptote; y = 2

Therefore, Option (B) will be the correct option.

Answer: look at image

Step-by-step explanation:

Answer:

x=-8

Step-by-step explanation:

x/4=-2

x=-8

Answer:

$4

Step-by-step explanation:

18-3= 15

15-4= 11

11-7= 4

After all the expenses done by Mary, the cost of the popcorn will be equal to $4.

The four fundamental operations of arithmetic are addition, subtract, multiply, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.

As per the information from the given data provided by the question,

The total money is $18.

The price of movie ticket = $7

The price of Drink = $4

The money left with Mary = $3

Then the price of popcorn = $18 - ($7 + $4 + +$3) = $4

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Answer:

Table 3

x | y

50 | 10

60 | 12

70 | 14

80 | 16

Step-by-step explanation:

x = time in minutes

y = distance travelled

Given that the bike travelled 7 miles after 35 minutes at a constant speed, the rate of change = [tex] \frac{7}{35} = \frac{1}{5} [/tex].

Thus, the table that represents the relationship between the time in minutes, x, and the distance the bike travles, y would have the same rate of change of ⅕.

Calculate the rate of change of each table using any two given pairs on the table:

Table 1: using (50, 10) and (55, 12)

Rate of change = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{12 - 10}{55 - 50} = \frac{2}{5} [/tex]

Table 2: using (60, 10) and (72, 12)

Rate of change = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{12 - 10}{72 - 60} = \frac{2}{12} = \frac{1}{6} [/tex]

Table 3: using (50, 10) and (60, 12)

Rate of change = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{12 - 10}{60 - 50} = \frac{2}{10} = \frac{1}{5} [/tex]

This table has the same rate of change.

Table 4: using (70, 10) and (84, 12)

Rate of change = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{12 - 10}{84 - 70} = \frac{2}{14} = \frac{1}{7} [/tex]

Table 3 represents the relationship between the time in minutes, x, and the distance the bike travles, y.

Answer:

the answer is 75

Step-by-step explanation:

Answer:

The Correct Answer is (90,2)---C

Step-by-step explanation: The correct answer is C 90,2.