7. **Write the equation of the graph shown below. 6 4 -2 2

Answer:

Undefined

Step-by-step explanation:

x=-2 is a vertical line and it doesn't have a proper slope to describe

Answer:

2,320,000

Step-by-step explanation:

10,000,000

                   -

7,680,000

__________

2,320,000

Answer:

2,320,000

Step-by-step explanation:

You have to subtract the 10,000,000 by the amount that has already been sold in order to find out the difference on how many copies are left in order to receive an award.  

10,000,000 - 7,680,000 = 2,320,000

Answer:

- Banking Operations salary in India with less than 1 year of experience to 10 years ranges from ₹ 1.4 Lakhs to ₹ 7 Lakhs with an average annual salary of ₹ 3.1 Lakhs based on 261 latest salaries

Answer:

x=4

Step-by-step explanation:

We can use the point-slope formula o find the equation of the line. The formula is the following:

then, in this case we have the following:

therefore, the equation of the line is y = -2x + 6

Answer:

153.615

Step-by-step explanation:

62.7 × 2.45=153.615

(a) The mean of the relevant distribution is 2.4 defective pistons.

(b) The standard deviation of the distribution is 1.539.

The mean of the relevant distribution is the expected number of defective pistons that we would expect to get from a sample of 80 pistons produced by this machine. The mean is calculated by multiplying the probability of a defective piston (3%) with the number of pistons in the sample (80). In this case, the mean is 2.4 defective pistons. The standard deviation of the distribution quantifies the uncertainty of our estimate. It is calculated by taking the square root of the variance, which is the expected value of the squared differences between the number of defective pistons in the sample and the mean. In this case, the standard deviation is 1.539. This means that, in theory, we would expect 68% of the samples to contain between 0.861 and 4.139 defective pistons.

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Answer:

Step-by-step explanation:

First you need to find a common denominator which in this case it 10

*Remember that whatever you do to thee bottom you need to do to the top*

3/10 - 3/10

2/5 = 4/10

1/2= 5/10

So the order is

Katrina - 3/10

Jackie - 4/10

Molly - 5/10

Hope this helped

The second approximation x2 is 2.875

and the third approximation x3 is 2.806

The root of the equation = \(4x^7 + 5x^4 + 3 = 0\)

using Newton's method.

The initial approximation x1 = 3.

Calculate the function value and derivative at x1:

\(f(x1) = 4(3)^7 + 5(3)^4 + 3 = 4083\\f'(x1) = 4(7)(3)^6 + 5(4)(3)^3 = 32640\)

We then apply Newton's method formula to find x2:

\(x_2 = x_1 - f(x_1)/f'(x1)\\x_2 = 3 - 4083/32640 = 2.875\)

\(f(x2) = 4(2.875)^7 + 5(2.875)^4 + 3 \\f(x2) = 46.48\\f'(x2) = 4(7)(2.875)^6 + 5(4)(2.875)^3 \\f'(x2) = 603.75\)

x3 = x2 - f(x2)/f'(x2)

x3 = 2.875 - 46.48/603.75

= 2.806

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a) A = 140.6 degrees

b) A = 16.6 degrees

c) C = 122.9 degrees

d) C = 64.6 degrees

The required equation of the line with slope 1/3 is y = 1/3x + 1 shown in the graph B. Option B is correct.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

here,
Locate two points on each graph and put the values of the points in the following formula of the slope,

M = (y₂ - y₁) /  (x₂ - x₁)

So, in the graph B we have point (-3,0) and (0, 1)

So slope will be,
m =  1 - 0 / 0 + 3
m = 1/3

Thus, the required equation of the line with slope is y = 1/3x + 1.

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ANSWER:

x = 4 and x = -4

STEP-BY-STEP EXPLANATION:

We have the following function:

We solve the values of x for when the function is equal to 0, as follows:

A. The solution of  linear equation is (x, y) = (-3, 8).

B. The solution is (x, y) = (3/4, -1).

C. The solution is (x, y) = (-31/8, 3/8).

D. The solution is (x, y) = (55/7, -117/14).

A. 3x - y = -11 --- (1)

-x + y = 5 --- (2)

From equation (2), we can write y = x + 5, and substitute it in equation (1):

3x - (x + 5) = -11

2x = -6

x = -3

Substituting x in equation (2):

-y = -8

y = 8

Therefore, the solution of the system is (x, y) = (-3, 8).

To check the solution, we substitute the values of x and y in the original equations:

3(-3) - 8 = -11 (True)

-(-3) + 8 = 5 (True)

So, the solution is correct.

B. -2y + 3 = 4x + 2 --- (1)

6x + 4y = 1 --- (2)

From equation (1), we can write 4x + 2 = -2y + 3, and substitute it in equation (2):

6x + 4y = 1

6x - 4y = 8 (rearranging)

12x = 9

x = 3/4

Substituting x in equation (1):

-2y + 3 = 4(3/4) + 2

-2y + 3 = 5

-2y = 2

y = -1

Therefore, the solution of the system is (x, y) = (3/4, -1).

To check the solution, we substitute the values of x and y in the original equations:

-2(-1) + 3 = 4(3/4) + 2 (True)

6(3/4) + 4(-1) = 1 (True)

So, the solution is correct.

C. 32y - x = -25 --- (1)

5x = 100 + x - 8y --- (2)

From equation (2), we can write 4x = 100 - 8y, and substitute it in equation (1):

32y - x = -25

32y - (100 - 8y) = -25

40y = 75

y = 3/8

Substituting y in equation (1):

32(3/8) - x = -25

x = -31/8.

Therefore, the solution of the system is (x, y) = (-31/8, 3/8).

To check the solution, we substitute the values of x and y in the original equations:

32(3/8) - (-31/8) = -25 (True)

5(-31/8) = 100 + (-31/8) - 8(3/8) (True)

So, the solution is correct.

D. To solve the system of equations:

2y + 3x = 6 --- (1)

4x + 5y + 20 = 0 --- (2)

We can rearrange equation (2) to isolate one of the variables:

4x + 5y = -20 (subtracting 20 from both sides)

5y = -4x - 20 (subtracting 4x from both sides)

y = (-4/5)x - 4 (dividing both sides by 5)

Substituting this value of y in equation (1):

2((-4/5)x - 4) + 3x = 6

(-8/5)x - 8 + 3x = 6

(-8/5)x + 3x = 14

(-8/5 + 3)x = 14

(-8/5 + 15/5)x = 14

(7/5)x = 14

x = 10

Substituting this value of x in the equation for y:

y = (-4/5)(10) - 4

y = -12.

Therefore, the solution of the system is (x, y) = (10, -12).

To check the solution, we substitute the values of x and y in the original equations:

2(-12) + 3(10) = 6 (True)

4(10) + 5(-12) + 20 = 0 (True)

So, the solution is correct.

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Answer:

The answer is 45 fish(the second option).

Step-by-step explanation:

The lake dropped 1/4 (25%) between last year and this year.

We need to find 1/4 of 60 and subtract it.

60/4=15

60-15=45

There are 45 fish in the lake this year.

x^2 + 4x + 4 is a perfect square trinomial that can be factored as (x + 2)^2.

Explanation:
To complete the expression x^2 + 4x + __ as a perfect square trinomial, we can take half of the coefficient of x (which is 4), square it, and then add it to the expression.

Half of 4 is 2, and 2 squared is 4, so we can add 4 to the expression to get:

x^2 + 4x + 4

This expression is a perfect square trinomial and can be factored as:

(x + 2)^2

Answer:

I believe that the one that is NOT true is Option, letter C.  Pls mark brainliest.

Answer:The answer is D

Step-by-step explanation:The Line could intercept the x axis but Sometimes it can only intercept the x axis such as x=7 it only intercepts (7,0) and not (0, any real number.) so that is why that is the answer.

Also brainly pls.

Answer:

94

Step-by-step explanation:

x - 7 = 87

x - 7 + 7= 87 + 7

x = 94

LS check

x - 7

94 - 7

87

RS check

87

LS = RS

Answer:

70% in favor of building a new playground  

3500 (in favor) + 1500 (against it) = 5000 (total number votes)

3500 (in favor)                                              1500 (against it)

-------------------    = 0.7 / 70%                          -------------------     =0.3 / 30%

5000 (total)                                                      5000 (total)            

Hi there!

Set A has a LARGER standard deviation.

A set's standard deviation is equivalent to:

\(\sigma = \frac{\sqrt{\Sigma (x - \mu)^2 }}{n-1}\)

σ = standard deviation

x = value

μ = mean

n = # of observations

Basically, standard deviation is calculated using how far apart EACH value is from the set's mean. If more values are FARTHER away from the mean, the standard deviation increases and vice-versa.

Set A has a GREATER RANGE and its values are farther from 13 on both sides compared to Set B which has a SMALLER RANGE and its values are closer to 13.

Therefore, Set A will have a larger standard deviation.

1 cube = 6 Faces

2 cubes = 10 Faces

7 cubes = 36 Faces

2÷7 = 3 × 10 = 30 + 6 = 36

The Answer is 36

Answer:

2 cubes = 10 faces

3 cubes = 14 faces

4 cubes = 18 faces

5 cubes = 22 faces

6 cubes = 26 faces

7 cubes = 30 faces

10 faces = 2 cubes

14 faces = 3 cubes

18 faces = 4 cubes

Step-by-step explanation:

We know that 1 cube shows 6 faces, and 2 cubes shows 10 faces. With 3 cubes, it shows 14 faces.

With this pattern, we can conclude that

f(x) = 2 + 4x

f(x) is a function for where f is the value of faces and x is the amount of cubes connected.

To find the amount of faces for the cubes used

f(2) = 2 + 4(2) = 2 + 8 = 10

f(3) = 2 + 4(3) = 2 + 12 = 14

f(4) = 2 + 4(4) = 2 + 16 = 18

f(5) = 2 + 4(5) = 2 + 20 = 22

f(6) = 2 + 4(6) = 2 + 24 = 26

f(7) = 2 + 4(7) = 2 + 28 = 30

For the amount of cubes used given the amount of faces

10 = 2 + 4x

-2   -2

8/4 = 4x/4

2 = x

x= 2

14 = 2 + 4x

-2    -2

12/4 = 4x/4

3 = x

x = 3

18 = 2 + 4x

-2   -2

16/4 = 4x/4

4 = x

x = 4

Your welcome! If you have any questions, please post them in the comments section of this answer! If you could mark this answer as the brainliest, I would greatly appreciate it! :D

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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The range of the function on the graph would be: D. all real numbers greater than or equal to 2

To obtain the range, observe the y values whose result can be obtained by the function of x. To obtain this range, we examine the graph and note that the range begins from 2 on the y-axis and extends upwards.

So, if we wish to define our range, we will enter all real numbers that are equal to or greater than 2 as seen in the direction of the graph.

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The length of a rectangle is 55  inches and the width of the rectangle is  17 inches

Given that The length of a rectangle is four more than triple the width.  If the perimeter is 144 inches and asked to find the dimensions of the rectangle

Length of a rectangle = 4 + triple the width

Let's assume the length of a rectangle is "l" and the width is "b"

l= 4 + 3b

perimeter of rectangle =2 ( l +b )

perimeter of rectangle = 2 ( 4 +3b +b)

perimeter of rectangle = 2 ( 4 + 4b )

Given that perimeter of rectangle = 144 inches

144 inches =  2 ( 4 + 4b )

72 inches = 4 + 4b

b= 17 inches

l= 4 + 3b

l=4+51

l=55 inches

Therefore the dimensions of rectangle are 55 inches and 17 inches

Hence,The length of a rectangle is 55  inches and the width of the rectangle is  17 inches.

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Answer:

x = 20

Step-by-step explanation:

For the lines to be parallel, the angles have to be equal

2x+15 = 55

Subtract 15 from each side

2x+15-15 = 55-15

2x = 40

2x/2 = 40/2

x = 20

On solving the provided questions, we can say that Probability, P( -1.6 \(\leq\) Z \(\leq\) 1.6 ) = 89.04%

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

he diameter of the ball bearings varies according to a distribution that is approximately Normal

mean 11.5 mm and standard deviation 0.05 mm

the probability that the difference in the diameters of the two ball bearings is less than 0.06 mm

Probability, P( -1.6 \(\leq\) Z \(\leq\) 1.6 ) = 89.04%

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The correct number line that displays the solution `x ≥ 3` would be:

 <------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------|------>

       -10    -9     -8     -7     -6     -5     -4     -3     -2     -1     0      1      2      3      4      5      6      7      8      9     10

                                   ●------------------------------------------------>

The solution `x ≥ 3` is an inequality that means x is greater than or equal to 3. To graph this inequality on the number line, we mark the point representing the value 3 with a closed circle on the number line and draw an arrow pointing to the right to indicate that all values greater than or equal to 3 satisfy the inequality.

The closed circle at 3 indicates that 3 is included in the solution set, and the arrow to the right indicates that all values greater than 3 also satisfy the inequality. Therefore, any value of x that is equal to or greater than 3 would be considered a solution to the inequality `x ≥ 3`.

It is important to note that if the inequality was `x > 3` (without the equal sign), the closed circle at 3 would be changed to an open circle, indicating that 3 is not included in the solution set, and only values greater than 3 would be considered solutions. In conclusion, the number line provided above correctly displays the solution `x ≥ 3`.

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Answer:

We know that the x-coordinate of point A is -11, and that the distance between point A and point B is 15 units. Let's call the y-coordinate of point A "y". Then we can use the distance formula to find the two possible values of y:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

where (x1,y1) = (-11,y) is the coordinates of point A, and (x2,y2) = (1,2) is the coordinates of point B. Substituting the values, we get:

15 = sqrt((-11 - 1)^2 + (y - 2)^2)

15 = sqrt(144 + (y - 2)^2)

15^2 = 144 + (y - 2)^2

225 = 144 + (y - 2)^2

81 = (y - 2)^2

y - 2 = ±9

y = 2 ± 9

So the possible coordinates of point A are (-11,11) and (-11,-7).

The solution to the equation x - 14 = 22 is x = 36

An equation is an expression that shows the relationship between numbers and variables using mathematical operators like addition, subtraction, multiplication and division. Equations can be linear, quadratic.

Let x represent the number. 14 less than a number is 22, hence:

x - 14 = 22

Add 14 to both sides of the equation:

x - 14 + 14 = 22 + 14

x = 36

The solution to the equation is x = 36

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The Spirit Club makes $2.5 profit on each shirt at the end of the year.

What is profit?

Cost price and selling price are better ways to explain profit. Cost price is the actual cost of the good or service, whereas selling price is the price at which it is offered for sale. In this case, the business has made a profit if the selling price of the good is higher than the cost price. Consequently, the profit calculation formula is;

Selling price minus cost price equals profit or gain.

Given that the cost of a shirt for the Spirit Club is $8.

They mark up the shirts 75% to sell in the school store.

The amount that is up on each shirt is $8×75%

= $8×(75/100)

= $8×(3/4)

= $6.

The marked price of each shirt is  $8 + $6 = $14.

They sell the shirts for 25% off at the end of the year.

The discount amount is $14×25%

= $14×(25/100)

= $14×(1/4)

= $3.5

The selling price of each shirt at the end of the year is $14 - $3.5 = $10.5.

The profit is Selling price - cost price = $10.5 - $8 = $2.5

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