For the function g(x) = (x – 61 + 2, evaluate g(-6).

The inequality equation of the given description of the inequality graph is;  3x - 2y < 7

Given :

X range is negative 10 to 10, and Y range is negative 10 to 10.

Dotted line on graph has positive slope and runs through points: (-3,-8), (1,-2), and (9,10).

Now, since we know the coordinates through which the graph runs, we can pick two coordinates and use it to find the slope through the formula;

m = (y₂ - y₁)/(x₂ - x₁)

If we pick (-3,-8), (1,-2), we have;

m = (-2 - (-8))/(1 - (-3)

m = 6/4

m = 3/2

We will use formula for equation of a line in point slope form to get;

y - y₁ = m(x - x₁)

y - 10 = (3/2)(x - 9)

2y - 20 = 3x - 27

3x - 2y = 7

Because, above the line is shaded, therefore, the correct inequality matching the graph is 3x - 2y < 7

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Rhys will have to pay £6 interest after the first year.

To calculate the interest, we can use the formula:

Interest = Principal x Rate

Where:

Principal = £200

Rate = 3% = 0.03 (in decimal form)

So, the interest Rhys will have to pay after the first year is:

Interest = £200 x 0.03 = £6

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Answer:

(5×4)×2=5×(4×2)=40

commutative property

Answer:

a) 68%

b) 95%.

c) 2.5%

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 100,000, standard deviation of 10,000.

a. Approximately what percentage of the salaries fall between $90,000 and $110,000?

90,000 = 100,000 - 10,000

110,000 = 100,000 + 10,000

Within 1 standard deviation of the mean, so approximately 68%.

b. Approximately what percentage of the salaries fall between $80,000 and $120,000?

80,000 = 100,000 - 2*10,000

120,000 = 100,000 + 2*10,000

Within 2 standard deviations of the mean, so approximately 95%.

c. Approximately what percentage of the salaries are greater than $120,000?

More than 2 standard deviations above the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean, so approximately 5% are more than 2 standard deviations from the mean.

The normal distribution is symmetric, which means that 2.5% are more then 2 standard deviations below the mean, and 2.5% are more than 2 standard deviations above the mean, which means that 2.5% of the salaries are greater than $120,000.

Answer:

Area of the shaded area = 60 m^2

Step-by-step explanation:

Remark

I don't think you need the 40 degrees for anything.

Formula

Area of Shaded part = area of the rectangle - area of the triangle

Solution

Area of the Rectangle

L = 12 meters

W = 10 meters

Area = 12 * 10

Area = 120 m^2

Area of the triangle

Area = 1/2 b * h

b = 12

h = 10

Area = 1/2 * 12 * 10

Area = 120/2 = 60

Area of the shaded area

120 - 60 = 60

You are given the slope = 4 and a point is (-1,1)

The equation of a line is written as y - mx + b where m is the slope and b is the y intercept

Using the slope you now have y = 4x + b

Solve for b by replacing x and y with the values of the point:

1 = 4(-1) + b

Simplify:

1 = -4 + b

Add 4 to both sides:

b = 5

The equation of the line is C.) y = 4x + 5

6 tables are required. Each prime number attender should serve 3 customers each.

The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

All the numbers other than prime numbers are composite numbers.

The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.

Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.

Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables

Therefore, 6 tables are required.

Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.

Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.

Thus, each prime number attender should serve 3 customers each.

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The measure of the minor arc m∡rv = 111°

Recall that according to the principle of angle of intersecting secants, (a-b)/2 = c

Where a = ∡RV
b = ∡SU = 37°:

and c = ∠T (the angle between intersecting secants.

Thus, if (a-b)/2 = c, and b = c = 37 degrees, then we can substitute these values into the equation to get:

(a - 37) / 2 = 37

Multiplying both sides by 2 gives:

a - 37 = 74

Adding 37 to both sides gives:

a = 111

Therefore, a is equal to  m∡rv = 111°.

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Answer:

Yes!

Step-by-step explanation:

It is because your still getting the same number 3 because even though your multiplying and dividing it still works

Determine if the ratios 3/6 and 6/3 equivalent and state a reason for your answer

Ratio is comparison between two numbers or quantities

Given:

3/6

= 1/2

= 1 : 2

6/3

= 2/1

= 2 : 1

Therefore, the ratios 3/6 and 6/3 are not equivalent to each other because the 3/6 is a proper fraction (numerator less than denominator) and 6/3 is an improper fraction(numerator greater than denominator).

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Answer:

Answer:

angle a = 104 degrees, angle b = angle c = 123 degrees

Step-by-step explanation:

angle c = 180 - 57

angle c = 123 degrees

angle a = 180 - 76

angle a = 104 degrees

angle b = 180 - 57

angle b = 123 degrees

Answer:

x + 3y – 2z = 8

-x – 2y + z = 12

2x – 7y + z =7

this answer is fake

Step-by-step explanation:

x + 3y – 2z = 3

-x – 2y + z = -2

2x – 7y + z = 1x + 3y – 2z = 3

-x – 2y + z = -2

2x – 7y + z = 1x + 3y – 2z = 3

-x – 2y + z = -2

2x – 7y + z = 1x + 3y – 2z = 3

-x – 2y + z = -2

2x – 7y + z = 1x + 3y – 2z = 3

-x – 2y + z = -2

2x – 7y + z = 1x + 3y – 2z = 3

-x – 2y + z = -2

2x – 7y + z = 1x + 3y – 2z = 3

-x – 2y + z = -2

2x – 7y + z = 1x + 3y – 2z = 3

-x – 2y + z = -2

2x – 7y + z = 1x + 3y – 2z = 3

-x – 2y + z = -2

2x – 7y + z = 1x + 3y – 2z = 3

-x – 2y + z = -2

2x – 7y + z = 1

Answer:

2 1/2

A.

Count the complete =2

The incomplete, a quarter + a quarter = half

So, the height of the pedestal is ((h1−h2)tanβ+h2tanα)/tanα−tanβ.

To find the height of the pedestal, we can use the concept of angles of elevation. The angle of elevation is the angle between the horizontal line of sight and the line of sight to an object above the horizontal.

From the given information, we know that the angles of elevation of the top and bottom of the statue from a point h2 metres above the ground level are α and β respectively.

We can use the tangent of the angle of elevation to find the height of the object. The tangent of the angle of elevation is equal to the height of the object divided by the distance from the base of the object to the point of observation.

Let's call the height of the pedestal as "h3"

So we can write the following equations:

h1/((h3+h1)-h2)= tan(α)

h1/((h3)-h2)= tan(β)

By solving the above equations we can get the value of h3 which is the height of the pedestal.

((h1−h2)tanβ+h2tanα)/tanα−tanβ

This is the final equation which gives the height of the pedestal.

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Answer:

False

Step-by-step explanation:

The baker would need 47. 25 cups of floor

We need to know that proportion is a form of mathematical comparison with two equations made equal to each other.

From the information given, we have that;

baker used 33 3/4 cups of flour to make 15 batches of cookies

This is represented as;

Convert to improper fractions

135/4 cups = 15 batches of cookies

Then, x cups = 21 batches of cookies

cross multiply the values

15x = 708. 75

Divide both sides by the coefficient of x, we have ;

x = 708. 75/15

x = 47. 25 cups of floor

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Answer:They were nations at war that shared a common religion.

Step-by-step explanation:

edge

Answer:

B. They were nations at war that shared a common religion.

Explanation: I got it right.

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Answer: B

Step-by-step explanation:

n/56 = 4/28

Simplify:

n/56 = 1/7

Cross multiply:

7x = 56

7x/7 = 56/7

x = 8

\([Hello,BrainlyUser]\)

Answer:

n = 8

Step-by-step explanation:

Divide the numbers

\(\frac{n}{56}=\frac{4}{28}\)

\(\frac{n}{56}=\frac{1}{7}\)

Multiply all terms by the same value to eliminate fraction denominators

\(56*\frac{n}{56}=56*\frac{1}{7}\)

Cancel multiplied terms that are in the denominator

\(n = 56*\frac{1}{7}\)

Multiply the numbers

\(n=8\)

\([CloudBreeze]\)

The inflation rate from 2019 to 2020 is 1.21. The goods price in 1990 is $3,614.

From the case, we know that:

CPI 2019 = 255.7

CPI 2020 = 258.8

Inflation 2019 - 2020?

CPI 1990 = 130.7

CPI 2005 = 195.3

Price 2005 = $5,400

Price 1990?

Using the CPI data of 2019 and 2020 we can find the rate of inflation using the formula of:

Inflation = (CPI Y1 - CPI Y0) x 100

                           CPI Y0

Based on the case, we take:

Y1 = 2020

Y0 = 2019

Then, the rate of inflation from 2019 to 2020 is;

Inflation = (258.8 - 255.7) x 100

                          255.7

Inflation = 1.21

To find the goods price in 1990, we can use the CPI ratio formula, where:

CPI Y1 =  Price Y1

CPI Y0     Price Y0

We take:

Y0 = 1990

Y1 = 2015

The price of goods in 1990 is:

195.3 =  $5,400

130.7       Price Y0

Price Y0 = $3,614

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Answer:

a. unbounded

e. x ≤ 9

Step-by-step explanation:

The interval means all real numbers less than or equal to 9.

Since all numbers to negative infinity are included, it is unbounded.

a. unbounded

e. x ≤ 9

A sketch looks like a number line with a solid dot at 9 and an line pointing left with an arrowhead at the left pointing left.

Answer:

b. unbounded

e. x ≤ 9

Step-by-step explanation:

Interval notation

( or ) : Use parentheses to indicate that the endpoint is excluded.

[ or ] : Use square brackets to indicate that the endpoint is included.

A bounded interval is an interval that includes both its endpoints.

For the interval (-∞, 9]:

Therefore, the given interval is unbounded.

Inequality notation

Therefore, the given interval is represented by the inequality x ≤ 9.

To sketch the graph on a number line:

To sketch the graph on a coordinate plane:

After following the directions for each reflection the coordinates of image and pre-image are found using the rules. The coordinates of the pre image and image after reflections across x and y axis changes sign of the coordinates.

There a few certain transformation in coordinate plane where we follow a certain set of rules.

Let us say that there is a point A(x,y) in the coordinate plane.

If the point A(x,y) is reflected across the x-axis.

Then the x coordinate will not be affected. But the y coordinate will change it's sign but he value of y coordinate remains the same.

Similarly, If the point A(x,y) is reflected across the y-axis.

Then the y coordinate will not be affected. But the x coordinate will change it's sign but he value of x coordinate remains the same.

So, by following the above two rules, we can find all the point after reflection.

1. Reflecting across Y-axis.

A(2,4) → A'(-2,4)

B(4,4) → B'(-4,4)

C(5,1) → C'(-5,1)

D(1,1) → D'(-1,1)

2. Reflecting across X-axis

W(-2,0) → W'(-2,0)

X(1,-2) → X'(1,2)

Y(-2,-4) → Y'(-2,4)

Z(-2,-5) → Z'(-2,5)

3. Reflection across Y-axis

L(1,5) → L'(1,-5)

M(3,5) → M'(3,-5)

N(2,1) → N'(2,-1)

4. Reflection across X-axis

H(1,-2) → H'(1,2)

I(3,-2) → I'(3,2)

J(5,-6) → J'(5,6)

K(3,-6) → K'(3,6)

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Answer: 1.2

Step-by-step explanation:

12/16 = 0.75

0.75 X 4/3 = 1

1/ (5/6) = 1.2

Answer:

I believe it is 1.2

Step-by-step explanation:

12/16x4/3

12x4=48

16x3=48

48/48=1

1 divided by 5/6=1.2

hope this helps :)

Answer:

im pretty sure its a

Step-by-step explanation:

Answer:

..........

Step-by-step explanation:

Answer:

1.    n + 34

2.   n - 34

3.   n × 34

Step-by-step explanation:

1. 34 more than a number     n + 34

2. a number decreased by 34      n - 34

3. the product of a number and 34    n × 34

Answer:

answer shown in the picture

Answer and explanation: The equation for the slope-intercept form is y=mx+b. M represents the slope and b is y-intercept/when x= 0.

We have to arrange the given equation into the form y=mx+b.

3x+2y=-14, We want to somehow isolate y.

2y=-14-3x, We can move all the terms that don't have y to the right

y=(-14-3x)/2, We can get rid of the 2 by dividing by 2 on both sides

y=-7-(3/2)x, We can distribute the division by 2 to both terms on the right

y=-(3/2)x-7, We can now just rearrange the terms

The equation is now in the form y=mx+b as -3/2 is m and -7 is b. Your answer to the first question is A.

For part B, we can use the equation for part A. We know m or the slope is -3/2 so our answer is also A.

Answer:

Right angled triangle

Scalene