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The functions f(x) and g(x) are graphed.
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Which represents where f(x) = g(x)?
Of(2)= g(2) and f(0) = g(0)
f(2)= g(0) and f(0) = g(4)
Of(2)= g(0) and f(4) = g(2)
Of(2)= g(4) and f(1) = g(1)
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Answer:

Total Miles he  drives first day      = 8 miles

Total Miles he drive second day   = 12miles

Total Miles he drives third day    =    18miles

Total Miles he drives fourth day    =  27 miles

Step-by-step explanation:

This is a problem of linear equations in 1 variable:

The linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution.

It is given in the question that ,

This week his goal is to drive bike about 65 total miles over four days. Each day, he wants to ride 1.5 times as far as he rode the day before.

Let, on the first day, he drives x miles. On second day, he drives 1.5x. On the third day, he drives 1.5(1.5x) and on the fourth day, he drives 1.5(1.5(1.5x)).

So the equation is :

x +1.5x + 1.5(1.5x) + 1.5(1.5(1.5x)) = 65miles

x + 1.5x + 2.25x + 3.375x   = 65miles

            8.125x   =    65 miles

                  x   =  65/8.125  miles

                  x   = 8 miles

so after solving the equation we get, on the first day Gavin drives 8 miles

similarly, on the second day he drives 12miles

               on third day 18 miles

   and     on the fourth day  27miles

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Using proportions, it is found that it would take 55 hours for him to make $720.50.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

He is paid $524 for a 40 hour work week, hence per hour he earns?

r = 524/40 = $13.1.

The amount of hours he would need to make $720.50 is given by:

h = 720.50/13.1 = 55.

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The descriptive answer of different part is described below.

An equation that has the highest degree of 1 is known as a linear equation. This means that no variable in a linear equation has an exponent more than 1. The graph of a linear equation always forms a straight line.

Here, Studio A rents for $75 plus $75 an hour .

Studio B rents for $150 and $50 an hour.

Let t = the number of hours and c = cost.

Part A

Studio A: c = 75 +75·t

Studio B: c = 150 +50·t

Part B

We solve the system of equation using substitution method, where we substitute c in the first equation with 150 +50t.

150 +50·t = 75 +75·t, subtract 75 and 50t from both sides

  150 -75 = 75t -50t, combine likes terms

          75 = 25t, divide both sides by 25

            3 = t

Now we know that t = 3 so we find c by substituting t with 3 in the second equation.

c = 150 +50·t

c = 150 +50·3

c = 300

The solution of the system of equations is c = 300 and t = 3

Part C:

The solution of the system of equation tells us that if we rent either studio A or B for 3 hours will pay the same price $300.

The price will be different if we rent studio A then studio B if we rent it for a different amount of time than 3 hours.

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Answer:

a. 3

b. -8

Step-by-step explanation:

let me know if you want an explanation

The population at the end of the year 2018 will be 2150.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that:-

If a population of a town is recorded at 1,200 in the year 2000 and the population increases by exactly 50 people each year, what will be the population of the town in 2018.

The population will be calculated as the year 2000 is also considered:-

P = Total years x Increase per year

P = 19 x 50

P = 2150

Therefore the population at the end of the year 2018 will be 2150.

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Answer:

  arc BC = 75 degrees

Step-by-step explanation:

The angle where chords cross is half the sum of the intercepted arcs. This relation can be used to find x and the angle and arc measures.

__

The angle relation is ...

  1/2((8x +11) +(9x -7)) = (8x +6)

  17x +4 = 16x +12 . . . . . . . multiply by 2 and simplify

  x = 8 . . . . . . . . . . . . . . subtract 16x+4 from both sides

Then the measure of arc BC is ...

  arc BC = 8x+11 = 8(8) +11 = 75 . . . degrees

_____

Additional comment

We can compute the other measures just to make sure they have the desired relationship.

  angle BAC = 8x+6 = 70 . . . degrees

  arc FD = 9x -7 = 65 . . . degrees

Since 70 = (65 +75)/2, these measures work out as expected.

Answer:

∠a = 50°

∠b = 130°

∠c = 130°

Explanation:

Following Vertical Angles Theorem:

A straight line has 180° angle measure, ∠c and ∠a lies on a straight line

Also, following vertical angle theorem:

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: x = 6 \:\: units[/tex]

[tex]{\qquad \tt \rightarrow \: y = 20° } [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

Two sides and their opposite angles of a Triangle are given equal.

[tex]\large \textsf{ For x :} [/tex]

[tex]\qquad \tt \rightarrow \: 2x - 1 = x + 5[/tex]

[tex]\qquad \tt \rightarrow \: 2x - x = 5 + 1[/tex]

[tex]\qquad \tt \rightarrow \: x = 6 \: \: units[/tex]

[tex] \large\textsf{For y :} [/tex]

[tex]\qquad \tt \rightarrow \: 3y - 10 = y + 30 [/tex]

[tex]\qquad \tt \rightarrow \: 3y - y = 30 + 10[/tex]

[tex]\qquad \tt \rightarrow \: 2y = 40[/tex]

[tex]\qquad \tt \rightarrow \: y = 20 \degree[/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

K could be 7 or 8

Step-by-step explanation:

If K was to be 7, the equation would be x^2 + 7x + 12 = (x+3)(x+4)

If K was to be 8, the equation would be x^2 + 8x + 12 = (x + 2)(x + 6)

Answer: ZT = ZS

Step-by-step explanation: ZT = ZS must be true under all circumstances. This is because a perpendicular bisector of a line cuts the line into two equal pieces. It is the midpoint of the entire line. Thus, ZT is the same as ZS since the line is equally cut in half and thus are the same.

Answer:

B: 2005

Step-by-step explanation:

Worked on edge 2022

Answer: D

Step-by-step explanation:

We can substitute in each of the coordinate pairs.

A) We get 3 < (2/3)(0)+2, which is false.

B) We get 1 < (2/3)(-3)+2, which is false.

C) We get 5 < (2/3)(3)+2, which is false.

D) We get 2 < (2/3)(1)+2, which is true.

The function can be best modeled by a linear regression and the values of a, b and c are -6, 100 and 240, respectively

From the table, we can see that as the number of years increases, the population increases.

This implies that the function can be best modeled by a linear regression.

A linear regression equation is represented by

ax + by = c

Next, we enter the data in a statistical calculator.

From the statistical calculator, we have the following summary:

The regression equation is then represented as:

y = bx + a

Where:

b = SP/SSX = 231.49/3937.5 = 0.05879

a = MY - bMX = 4.58 - (0.06*37.5) = 2.37952

So, we have:

y = 0.05879x + 2.37952

Approximate

y = 0.06x + 2.4

Multiply through by 100

100y = 6x + 240

Rewrite as:

-6x + 100y = 240

Hence, the values of a, b and c are -6, 100 and 240, respectively

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Answer:

The data is best modeled by an exponential function.

The value of a is 2.653, the value of b is 1.01, and the value of c is not used

Step-by-step explanation:

EDGE answers

Answer:

540,000 cubic centimeters

Step-by-step explanation:

1 meter and 20 centimeters is equal to 120 centimeters.

[tex]120 \times 90 \times 50 = 540000[/tex]

Answer:

B) the probability that is traveling more than 63 mph is 0.6293 (or 62.93%)

Step-by-step explanation:

Given:

Finding the Probability:

If one car is randomly chosen, we want the probability that is traveling more than 63 mph is,

P(X > 63)

To find the value of z,

z = x - μ / σ

z = 63 - 65 / 6

z = -2 / 6

z = -1 / 3 which is approximately -0.33

Using Z table (attached below):

to find this on the table

The area under the curve is 0.3707

P(z > 63) = 1 - P(z < 63)

               = 1 - 0.3707

               = 0.6293

Hence the probability that is traveling more than 63 mph is 0.6293

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The line on the graph which represents the same relationship between quantities. is line B; y = 2x

Number of almonds = 2 ounces

Bags of trail mix = x

Total mix = y

The equation:

y = 2 × x

y = 2x

Complete question:

Trevor uses 2 ounces of almonds in each bag of trail mix he makes.

Bags of Trail Mix Almonds (oz.)

6 Line on the graph represents the same relationship between quantities.

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The conditional probability that the person has the disease given that the test result is positive is of 0.4750 = 47.50%.

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which:

In this problem, the events are:

The percentages associated with a positive test is:

Hence:

[tex]P(A) = 0.939(0.038) + 0.041(0.962) = 0.075124[/tex]

The probability of both a positive test and having the disease is given by:

[tex]P(A \cap B) = 0.939(0.038) = 0.035682[/tex]

Hence the conditional probability is given by:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.035682}{0.075124} = 0.4750[/tex]

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Answer:

The total amount , principal plus interest, with compound interest on a principal of $5,000.00 at a rate of 5.5% per year compounded 2 times per year over 8 years is $7,717.55.

Step-by-step explanation:

Compound interest is based on the principal amount and the interest that accumulates on it in every period.

Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest.

First, convert R as a percent to r as a decimal

r = R/100

r = 5.5/100

r = 0.055 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 5,000.00(1 + 0.055/2)^(2)(8)

A = 5,000.00(1 + 0.0275)^(16)

A = $7,717.55

The total amount accrued, principal plus interest, with compound interest on a principal of $5,000.00 at a rate of 5.5% per year compounded 2 times per year over 8 years is $7,717.55.

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The relative frequency of students who are not seniors at this high school will be 82.96%.

Suppose a number is 'a'

Suppose another number is 'b'

We want to know how much percent of 'b' is 'a'.

Then, it is calculated as:

P = a/b × 100

A local high school has 1,203 students with 367 freshmen, 382 sophomores, 249 juniors, and 205 seniors.

Then the relative frequency of students who are not seniors at this high school will be

P = 998/1203 × 100

P = 0.82959 × 100

P = 82.959%

P ≈ 82.96%

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Answer:

angle 1 is equal to angle 4 ( vertically opposite angles)

if angle 1 is congruent to angle 8

then angle 4 is also congruent to angle 8

then slope of line L and n is equal

that is L is parallel to n

The slope of the line is

[tex]\frac{-1-4}{-1-0}=5[/tex]

So, the equation of the line in point-slope form is [tex]\boxed{y+1=5(x+1)}[/tex]

There are 5 bags and each bag has 5 apples and total there are 25 apples , Option A is the correct answer.

A perfect square is a number which can be written as the product of an integer with itself.

It is given that Mark divided a basket of apples evenly into small bags.

Let there be n no. of bags and therefore n number of apples in each bag

Then the total number of apples will be

n * n

n²

The value of total number of apples should be a perfect square,

In the option given only 25 is the perfect square

Therefore the equation can be made as

n² = 25

n = 5

There are 5 bags and each bag has 5 apples and total there are 25 apples.

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Answer:

x2-4 = 0

x2= 4

x = 2 or x = (-2)

The equations that are true for x = -2 and x = 2 are:

x² - 4 = 0

2(x - 2)² = 0

Options A and D are the correct answer.

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We also find the solution in a system of equations using the substitution or elimination method.

Example:

2x + 4 = 8

The solution is x = 2.

We have,

The values given for x are -2 and 2.

Therefore, we can substitute each value of x into the given equations to determine which are true for those values.

x² - 4 = 0

When x = -2, we have (-2)² - 4 = 0, which is true.

When x = 2, we have (2)² - 4 = 0, which is also true.

x² = -4

When x = -2, we have (-2)² = 4 which is not equal to -4, so this equation is false for x = -2.

When x = 2, we have (2)² = 4 which is not equal to -4, so this equation is false for x = 2.

3x² + 12 = 0

When x = -2, we have 3(-2)² + 12 = 0, which is false.

When x = 2, we have 3(2)² + 12 = 24, which is not equal to 0.

Therefore, this equation is false for x = 2.

14x² = 16

When x = -2, we have 14(-2)² = 56, which is not equal to 16.

Therefore, this equation is false for x = -2.

When x = 2, we have 14(2)² = 56, which is also not equal to 16.

Therefore, this equation is false for x = 2.

2(x-2)² = 0

When x = -2, we have 2(-2-2)² = 0, which is not equal to 0.

Therefore, this equation is false for x = -2.

When x = 2, we have 2(2-2)² = 0, which is equal to 0.

Therefore, this equation is true for x = 2.

Therefore,

The equations that are true for x = -2 and x = 2 are:

x² - 4 = 0

2(x-2)² = 0

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The state of the market if market price was fixed at Birr 25 per unit is excess demand

Qd = 50 - p

p = Qs + 5

p - 5 = Qs

if market price was fixed at Birr 25 per unit?

Qd = 50 - p

= 50 - 25

Qd = 25

Qs = p - 5

= 25 - 5

Qs = 20

The state of the market if market price was fixed at Birr 25 per unit is excess demand (demand greater than supply) leading to an increase in price.

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Probability helps us to know the chances of an event occurring. The correct option is A.

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Dependent events are those events in which the outcome of the first event affects the outcome of the second event. The statement that is correct about the dependent event is that the probability of all dependent events can be calculated using the "OR" formula P(A+B) =P(A) +P(B)-P(A and B).

Hence, the correct option is A.

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The required equation of a line is y = -3x- 1

The equation of a line in slope-intercept form is expressed as:

y = mx + b

where

m is the slope

b is the y-intercept

Using the coordinate point (0, -1) and (-1, 2)

Slope = 2-(-1)/-1-0

Slope = 3/-1

Slope =-3

Since the line crosses the y-axis at (0, -1), hence the value of b is -1

Determine the equation

y = mx + b

y = -3x + (-1)

y = -3x- 1

Hence the required equation of a line is y = -3x- 1

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Answer:

B, A, C

Step-by-step explanation:

add the like terms together (ending in x2 with x2, ending in x with x etc )

Answer:

B A C

Step-by-step explanation:

combining like terms