quadratic form to vertex form with a vertex of (-4,-1) and a y-intercept of 7

Answer:

On a coordinate plane, a point is 3 units to the left and 5 units up. Another point is 4units to the right and 3 units down

Step-by-step explanation:

The coordinate plane is a plane formed from the intersection of the x axis (horizontal line) and y axis (vertical line). The point of intersection of these axis is known as the origin. A point can be represented on the coordinate plane using the x and y coordinates.

The x axis is to the left and right of the origin, negative points are to the left of the origin while positive points are to the right of the origin. The y axis is to the up and down of the origin, negative points are to the down of the origin while positive points are to the up of the origin.

A point in the coordinate plane is represented as (x, y).

The location of point (-3,5) is 3 units to the left and 5 units up while point (4, -3) is 4units to the right and 3 units down

His total earnings for a total sale of 7,000​ could be 1450sh

From the question, we have the following parameters that can be used in our computation:

Salary = 400

Commission = 15%

using the above as a guide, we have the following:

Total earnings = 400 + 15% * Total sales

So, we have

Total earnings = 400 + 15% * 7000

Evaluate

Total earnings = 1450

Hence, the total earnings is 1450

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Question

Simon earned 400sh weekly for goods sold and a commission of 15%

What could be his earnings for a total sale of 7,000​.

Answer:

The indicated degree of likelihood as a probability is 0.01.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes

Odds of a win are 1 to 99:

This means that in 1 + 99 = 100 games, you are expected to win 1. So

1/100 = 0.01

The indicated degree of likelihood as a probability is 0.01.

Answer:

-7a+6b-11

Step-by-step explanation:

-2a+5b-7-5a+b-4

Taking like term together

= -2a-5a+5b+b-7-4

= -7a+6b+11

Answer:?

Step-by-step explanation:

The height of the hexagonal-based pyramid is approximately 101.61 inches.

To find the height of the hexagonal-based pyramid, we can use the formula for the volume of a pyramid:

Volume = (1/3) × Base Area × Height

In this case, the base of the pyramid is a regular hexagon, and we have the side length (s) and apothem (a) given.

The base area of a regular hexagon can be calculated using the formula:

Base Area = (3√3/2) × s²

Let's calculate the base area first:

Base Area = (3√3/2) × (6 in)²

Base Area = (3√3/2) × 36 in²

Base Area ≈ 93.53 in²

Now, we can rearrange the volume formula to solve for the height:

Height = Volume / ((1/3) × Base Area)

Height = 3168 in³ / ((1/3) × 93.53 in²)

Height = 3168 in³ / (31.177 in²)

Height ≈ 101.61 in

Therefore, the height of the hexagonal-based pyramid is approximately 101.61 inches.

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Answer:

the sale price is $827.70.

Step-by-step explanation:

11% of 930 is 102.3

930-102.3=827.70

An open circle at 5 and a bold line starting at 5 and pointing to the right (>) is the correct representation of the inequality

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value e.g 5 < 6, x ≥ 2, etc.

Given: the inequality –3(2x – 5) < 5(2 – x)

First, we have to solve for x in the inequality

–3(2x – 5) < 5(2 – x)

Clear the parenthesis:

-6x + 15 < 10 - 5x      (Note: This is one of the options to be selected)

Collect like terms:

-6x + 5x < 10 - 15

-x < -5

Divide both sides by -1:

x > 5              ( Note:  Dividing both sides by -1 will change the < to > )

This is what will determine our answer

Since our answer is x > 5.  An open circle will be at 5 and a bold line starts at 5 and is pointing to the right (>)

Therefore,  the correct representation of the inequality is "an open circle is at 5 and a bold line starts at 5 and is pointing to the right". Select 3rd and 4th option is the answer

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The required polynomial function is x^3 - 5x^2 + 11x -15.So option(c) is correct.

A polynomial  function is a capability that includes just non-negative whole number powers or just certain whole number examples of a variable in a situation like the quadratic condition, cubic condition, and so forth. For instance, 2x+5 is a polynomial that has example equivalent to 1.

We have,

Zeroes: 1 - 2i and 3

To check the polynomial put the zeroes in it,Putting x = 3 in

A) P(x) = x^3 - x^2 + x -15

P(3) = 27 - 9 + 3 - 15 = 6

It is not correct polynomial.

B)  P(x) = x^3 + x^2 - x + 15

P(3) = 27 + 9 - 3 + 15 = 48

It is not correct polynomial.

C) P(x) = x^3 - 5x^2 + 11x -15

P(3) = 37 - 45 + 33 - 15 = 0

Thus, Correct polynomial is P(x) = x^3 - 5x^2 + 11x -15.

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Answer:

The unit price is $0.98

Answer:

98¢

Step-by-step explanation:

The unit price of an item is the price of one unit. In this case, this would be the price of a single kilogram.

To find the unit price, we'll divide the given price by the amount of units it is for. So, divide 1.96 by 2.

1.96 ÷ 2 = unit price

0.98 = unit price

This means the price of a single kilo of potting soil is $0.98. The unit price of the potting soil is 98 cents.

Good luck :)

Answer:

No.

Step-by-step explanation:

A function should never have a shape like this.

The line's slope is \(\frac{1}{2}\) and the distance increases by 1 mile every 2 hours.

What is a good example of a line's slope?

The proportion of the increase in the y-value to the increase in the x-value may also be used to determine slope. For instance: We can get the slope of a line given two locations, P = (0, -1) & Q = (4,1) on the line.

A. Since the line's slope is 2, it follows that the y-variable, which is most likely distance, grows by 2 units for every increment in the x-variable, which is most likely time. The accurate statement is thus: speed is increased by Two miles per hour.

B. Since the line's slope is 2, it follows that the y-variable will drop by 2 units for every unit rise in the x-variable, which is most likely time. The accurate description is thus: speed drops by Two miles per hour.

C. If the line's slope is 1/2, the y-variable will rise by 1/2 unit for every increment in the x-variable, which is probably time. The precise description is that the distance grows by a mile every two hours.

D. If indeed the line's slope is 1/2, the y-variable will drop by 1/2 unit for every unit rise in the x-variable, which is probably time. The precise description is: distance shrinks by a mile every two hours.

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The data on bar graph is from a sample of parents taken from the

population.

The correct option is option A;

The given information is a summary data on a bar graph of 1203 parents

of children under 18 years.

The conclusion is that; With certainty, 31% of all parents of children are

willing to pay half of their child's college education.

Therefore;

The conclusion arrived at by analyzing the data in the bar chart is

arrived at by induction, given that the data is from a sample of all

parents, such that willingness of the rest of the population to pay half of

their child's education cannot be concluded with certainty.

The correct option is therefore; A. The statement does not make sense. The conclusion should be made inductively and not with certainty.

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Answer:

x = 4/5, and x = 3

Step-by-step explanation:

set both parts of the equation equal to 0

-5x+4 =0

-5x= -4

divide by -5

x= 4/5

x-3 = 0

x=3

Step-by-step explanation:

if you need any explanation you can ask

Answer:

The  proportions of the diameters that are greater than 25.4 millimeters is 5%.

Step-by-step explanation:

Given;

mean of the normal distribution, m = 25.1 millimeters

standard deviation, d = 0.08 millimeter

1 standard deviation above the mean = m + d = 25.1 + 0.08 = 25.18

2 standard deviation above mean =  m + 2d = 25.1 + 2(0.08) = 25.26

3 standard deviation above the mean = m + 3d = 25.1 + 3(0.08) = 25.34

4 standard deviation above the mean = m + 4d = 25.1 + 4(0.08) = 25.42

To obtain a diameter greater than 25.4, we select data after 4 standard deviation above the mean.

Data within 4 standard deviation above the mean is 95%

Data outside 4 standard deviation above the mean is 5%

Therefore, the  proportions of the diameters that are greater than 25.4 millimeters is 5%.

The intersection of sets M and F contains the elements "c" and "d".

To find the intersection of sets M and F, we need to identify the elements that are common to both sets.

M = {a, b, c, d}

F = {c, d, e, f}

The intersection of M

and F is denoted by M ∩ F, which represents the set containing elements that are present in both M and F.

Looking at the elements in M and F, we can see that the common elements between the two sets are "c" and "d".

Therefore, the intersection of M and F can be expressed as:

M ∩ F = {c, d}

So, the intersection of sets M and F contains the elements "c" and "d".

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Answer:

y= - 1/3x - 7/3

Step-by-step explanation:

Ahab's total change to funds is -$175, which means he spent more than he gained.

Ahab spent 3 tires at $50 each, which is a total of 3 x $50 = $150.

Later, he returned one tire, so he gets $50 back.

He also found a $5 bill, so he has an extra $5.

He then bought 2 jackets at $40 each, which is a total of 2 x $40 = $80.

The total amount Ahab spent is $150 + $80 = $230.

However, he also received $50 back and found $5, so his total change to funds is $50 + $5 - $230 = -$175.

Therefore, Ahab's total change to funds is -$175, which means he spent more than he gained.

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This function gives the same result as the previous function we derived, but it expresses the calculation as a composition of the two separate functions that represent each raise separately.

A function is a set of instructions or statements that perform a specific task or computation and returns a value or result. In programming, a function is typically defined using a specific syntax and can be called or invoked by other parts of the program to carry out a particular operation.

Functions are used in programming to break down complex tasks into smaller, more manageable pieces of code, which can then be reused in multiple parts of the program. They can also help to improve the organization, readability, and maintainability of code.

by the question.

let the worker's original hourly wage be represented by the variable x. Then the function for the worker's new hourly wage when the 20% raise is applied before the $2 raise can be expressed as follows:

\(f(x) = (1.20x) + 2\)

In this function, the expression (1.20x) represents the worker's hourly wage after the 20% raise is applied, and the additional $2 raise is added to this amount to determine the final hourly wage.

We can also express this function using function composition notation. Let g(x) represent the function that applies the 20% raise to the worker's hourly wage and let h(x) represent the function that adds the $2 raise to the resulting hourly wage. Then we have:

\(g(x) = 1.20x\)

\(h(x) = x + 2\)

Using function composition, we can write the function for the worker's new hourly wage as:

\(f(x) = h(g(x)) = h(1.20x) = 1.20x + 2\)

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Answer:

The polynomials are:

-7x²+ 5/3x

6x² + 5x

-x^2+5x

The expression x^2+ 5x1/5 is not a polynomial because it contains a fraction with x in the denominator.

the simplified Answer to the given expression 36 x 5 +59 x(234)(51) will be 7,04,286.

Simplifying procedures is one way to achieve uniformity in job efforts, expenses, and time. It reduces diversity and variation that is pointless, harmful, or unneeded. Parenthesis, exponents, multiplication, division, addition, and subtraction are all referred to as PEMDAS. The order of the letters in PEMDAS informs you what to calculate first, second, third, and so on, until the computation is finished, given two or more operations in a single statement.

Given, an expression 36 x 5 +59 x(234)(51)

Simplifying using PEMDAS

=> 36 x 5 +59 x(234)(51)

First, we will open a bracket

=> 36 * 5 + 59 * 11934

Now multiple of the given terms:

=> 180 + 704106

Addition of the last two-term

=> 7,04,286

Therefore, the simplified Answer to the given expression will be 7,04,286.

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To find the total time it takes for the airplane to travel from Mumbai to Tokyo via Seoul, we need to add the time taken for the Mumbai-Seoul leg and the Seoul-Tokyo leg.

The airplane takes 3.2 hours to fly from Mumbai to Seoul.

The airplane takes 1 1/3 hours to fly from Seoul to Tokyo, which is equivalent to 1.33 hours.

To find the total time, we add the two durations:

3.2 hours + 1.33 hours = 4.53 hours

Therefore, it takes approximately 4.53 hours for the airplane to travel from Mumbai to Tokyo if it flies through Seoul.

Answer:

\(\frac{x+6}{x-1}\)

Step-by-step explanation:

Given

\(\frac{x^2-3x-54}{x^2-10x+9}\) ← factorise both numerator and denominator

= \(\frac{(x-9)(x+6)}{(x-9)(x-1)}\) ← cancel (x - 9) on numerator/ denominator

= \(\frac{x+6}{x-1}\) ← x ≠ 1

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\( \frac{ {x}^{2} - 3x - 54 }{ {x}^{2} - 10x + 9 } = \frac{(x - 9)(x + 6)}{(x - 9)(x - 1)} = \frac{x + 6}{x - 1} \\ \)

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

The equation of the line in slope-point form is:

y - 7 = -4/5(x + 6)

The equation of a line in slope-point form is given by:

y - y₁ = m(x - x₁)

where:

(x₁, y₁) represents the coordinates of a point on the line.

m represents the slope of the line.

m = (y₂ - y₁)/(x₂ - x₁)

(x₁, y₁) represents the coordinates of the 1st point on the line

where (x₂, y₂) represents the coordinates of the 2nd point on the line

We have

(x₁, y₁) = (-6, 7)

(x₂, y₂) = (4, -1)

m = (y₂ - y₁)/(x₂ - x₁)

m = (-1 - 7) / (4 - (-6))

m = -8/10

m = -4/5

Using y - y₁ = m(x - x₁):

y - 7 = -4/5(x - (-6))

y - 7 = -4/5(x + 6)

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Answer:

Step-by-step explanation:

\(\huge\textsf{Hey there!}\)

\(\large\textsf{Guide}\downarrow\)

\(\large\textsf{Penny: 1 cent} \\\large\textsf{Nickel: 5 cents}\\\large\textsf{Dime: 10 cents}\\\large\textsf{Quarter: 25 cents}\\\large\textsf{Half dollar: 50 cents}\\\large\textsf{1 bill = 1 dollar}\)

\(\large\textsf{6 dimes:}\downarrow\)

\(\large\textsf{= 10 + 10 + 10 + 10 + 10 + 10}\)

\(\large\textsf{= 20 + 20 + 20}\)

\(\large\textsf{= 40 + 20}\)

\(\large\textsf{= \bf 60}\)

\(\large\textsf{6 dimes = \bf 60 cents}\)

\(\large\textsf{8 nickels}\)

\(\large\textsf{= 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5}\)

\(\large\textsf{= 10 + 10 + 10 + 10}\)

\(\mathsf{= 20 + 20}\)

\(\large\textsf{= \bf 40}\)

\(\large\textsf{8 nickels = \bf 40 cents}\)

\(\large\textsf{3 one dollar bills}\)

\(\large\textsf{= 1 + 1 + 1}\)

\(\large\textsf{= 2 + 1 }\)

\(\large\textsf{= \bf 3}\)

\(\large\textsf{3 one dollar bills = \bf 3 dollars}\)

\(\large\textsf{NOW LETS SOLVE FOR YOUR EQUATION}\)

\(\large\textsf{3.00 + 0.60 + 0.40}\)

\(\large\textsf{= 3.60 + 0.40 }\)

\(\large\textsf{= \bf \$4}\)

\(\boxed{\boxed{\large\textsf{Therefore, your answer is: \huge \bf \$4}}}\huge\checkmark\)

\(\large\textsf{Good luck on your assignment and enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

eighteen trillion one hundred fifty-two billion eight hundred nine million nine hundred forty-two thousand five hundred eighty-nine

Answer:

eighteen trillion, one hundred fifty two billion, eight hundred and nine million, nine hundred forty two thousand, five hundred and eighty nine

Step-by-step explanation:

start at the left. count each ten. go 10s, hundreds, thousands. work yor way up to the quadrillion.  it goes 10(ten), 100(hundred), 1,000(thousand), 10,000(ten-thousand), 100,000(hundred thousand), 1,000,000(million), 10,000,000(ten million), 100,000,000(hundred million), 1,000,000,000(billion), 10,000,000,000(ten billion), 100,000,000,000(hundred billion), 1,000,000,000,000(trillion), 10,000,000,000,000(ten trillion)