Which expression is equal to – 8s – 2s2 + 23s – 4?

Answer:

10+5=15 sow longer trail is 15

1. The equation to slope-intercept form is y = -2/3(x) + 490. The slope is -2/3 and the y-intercept is 490.

2. You should start at the y-intercept (0, 490) and move right by 3 units and downward by 2 units, and then connect the points.

3. The equation in function notation is f(x) = -2/3(x) + 490. The graph of the function is the rate of change with respect to the number of sandwich lunch sold.

4. A graph of the function with intercepts is shown below.

5. The graphs of the functions for the two months both have the same slope but different y-intercept and x-intercept.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;

y = mx + b

Where:

Based on the information provided above, a linear equation that models Sal's Sandwich Shop's profit is given by;

2x + 3y = 1,470

By subtracting 2x from both sides of the equation and dividing by 3, we have:

2x + 3y - 2x = 1,470 - 2x

y = -2/3(x) + 490

Therefore, the slope is -2/3 and the y-intercept is 490.

Part 2.

In order to graph the equation by using the slope-intercept method, you would start at the y-intercept (0, 490) and move right by 3 units and down by 2 units, and then connect the points.

Part 3.

Next, we would write the equation in function notation as follows;

f(x) = -2/3(x) + 490

where:

The graph represents the rate of change of the function with respect to the number of sandwich lunch sold.

Part 4.

In this context, we would use an online graphing calculator to plot the linear function as shown in the image attached below.

Part 5.

Assuming Sal's total profit on lunch specials for the next month is $1,593 and the profit amounts remain the same, a system of equations to model this situation is given by:

2x + 3y = 1593; y = -2/3(x) + 531.

2x + 3y = 1,470; y = -2/3(x) + 490.

In conclusion, we can logically deduce that the graphs of the functions for the two months both have the same slope but different y-intercept and x-intercept.

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Complete Question:

Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents Sal's profits last month, where x is the number of sandwich lunch specials sold and y is the number of wrap lunch specials sold.

Answer:

The equation of the parabola will be:

Step-by-step explanation:

The vertex  (h, k)  is halfway between the directrix and focus.

Find the  x  coordinate of the vertex using the formula

x = (x-coordinate of focus + directrix)/2

 = (3-3)/2

 = 0/2

 =0

The  y -coordinate will be the same as the y-coordinate of the focus.

so the vertex will be: (0, 0)

Finding the distance from the focus to the vertex

The distance from the focus to the vertex and from the vertex to the directrix is |p|.

Subtract the  x  coordinate of the vertex from the x -coordinate of the focus to find  p .

\(p=3-0\)

\(p=3\)

Substitute in the known values for the variables into the equation

\(\left(y-k\right)^2=4p\left(x-h\right)\)

\(\left(y-0\right)^2=4\left(3\right)\left(x-0\right)\)

\(\:y^2=12x\)

Therefore, the equation of the parabola will be:

When you add -1/4 to itself four times, you get: -1
When you multiply -1/4 by 4, you also get: -1.
Yes, both the results are same which is: -1.

To answer your question, let's break it down into two parts:

1. What do you get if you add -1/4 to itself four times?
To find the answer, you simply add -1/4 four times:
(-1/4) + (-1/4) + (-1/4) + (-1/4) = -1

2. What is -1/4 × 4?
To multiply -1/4 by 4, you perform the multiplication:
(-1/4) × 4 = -1

In conclusion, when you add -1/4 to itself four times, you get -1, and when you multiply -1/4 by 4, you also get -1.

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In the given research design, there are three independent variables. The notation "2x2x4" represents the number of levels or conditions for each independent variable.

The first independent variable has two levels (2x), the second independent variable has two levels (2x), and the third independent variable has four levels (4). Each independent variable is manipulated or varied independently of the others in order to examine their effects on the dependent variable(s). Therefore, there are three independent variables in this 2x2x4 research design.

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By measuring the lengths of the sides, we can determine if the trapezoid is isosceles or not. However, it's important to note that this procedure assumes that the measurements are accurate and the sides are straight.

To determine if the trapezoid is isosceles, we need to examine its properties. An isosceles trapezoid is a trapezoid with two parallel sides of equal length.

If we didn't have geometry software, we could prove or disprove that the trapezoid is isosceles by following these steps:

1. Identify the parallel sides: Measure the lengths of the two parallel sides of the trapezoid using a ruler or measuring tape.

2. Compare the lengths: If the lengths of the two parallel sides are equal, then the trapezoid is isosceles. If the lengths are not equal, then the trapezoid is not isosceles.

3. Measure the non-parallel sides: Measure the lengths of the non-parallel sides of the trapezoid.

4. Compare the lengths of the non-parallel sides: If the non-parallel sides are equal, then the trapezoid is also a parallelogram. If the non-parallel sides are not equal, then the trapezoid is not a parallelogram and, therefore, not isosceles.

By measuring the lengths of the sides, we can determine if the trapezoid is isosceles or not. However, it's important to note that this procedure assumes that the measurements are accurate and the sides are straight. Geometry software provides a more precise and efficient way to determine the properties of geometric shapes.

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The interval over which f has a positive average rate of change is for all values of x for which x > 0 or x < 0.

The given function is\(F(x)= x^2 + 10.\)The objective is to determine the interval over which f has a positive average rate of change.

The average rate of change in a function refers to the ratio of the change in y-values to the change in x-values over a specified interval. That is,Δy/ΔxLet's find the average rate of change of the given function;\(F(x)= x^2 + 10\)Δy = f(x₂) - f(x₁)Δx = x₂ - x₁Average Rate of Change, ARC = Δy/ΔxF(x) = x² + 10

For the interval [a, b], the ARC is given by the expression:f(b) - f(a) / b - aNow, let us find the average rate of change of the function for the interval [a,b];

ARC(a, b) = f(b) - f(a) / b - aARC(a, b) = [b² + 10] - [a² + 10] / b - a

ARC(a, b) = [b² - a²] / b - aARC(a, b) = [(b-a)(b+a)] / b - a

ARC(a, b) = b + aOn simplifying the above expression, we get;

ARC(a, b) = b + a

Since we need to find an interval over which the function has a positive average rate of change,

i.e., ARC > 0;therefore, b + a > 0 or b > -a

Thus, the interval over which f has a positive average rate of change is for all values of x for which x > 0 or x < 0.

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Answer:

24.59 m/s

Step-by-step explanation:

Average speed(m/s) = distance travelled(m) / time taken(s)

Distance = 220 miles

220 miles = 354,056 meters

Time taken = 4 hours

4 hours = 14,400 seconds

Average speed = distance travelled / time taken

= 354,056 / 14,400

= 24.59 meter/seconds

= 24.59 m/s

Answer:

7/20

0.35

35%

Step-by-step explanation:

12 year olds: 40%

12 year olds: 25%

11 year olds: 100% - 40% - 25% = 35%

35% = 35/100 = 7/20

35% = 0.35

35% = 35%

The solutions to the equation cot(0+100°) = 0 in the solving interval 0° ≤ 0 < 360° are 10° and 190°.

To solve the equation, we first need to simplify cot(0+100°). Adding 0° and 100° gives us 100°, so we need to find the cotangent of 100°. The cotangent function is the reciprocal of the tangent function, so we can rewrite the equation as 1/tan(100°) = 0. Since the tangent function is undefined at 90° and cotangent is its reciprocal, cotangent is equal to 0 at 90° and 270°. However, these values are not within the solving interval of 0° to 360°. So, we need to find the cotangent of 100° by finding the tangent of its reference angle, which is 180° - 100° = 80°. The tangent of 80° is positive, so its reciprocal, cot(100°), is also positive. Therefore, the solutions within the given interval are 10° and 190°.

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Answer:

commutative properties

Answer:

Step-by-step explanation:

Side A has a length of 80 ft, side b has a length of 150 ft, and side c (the hypotenuse) has a length of 170 ft. Side A will represent a in the pythagorean theorem, side B will represent b, and side C (hypotenuse) will represent c in the equation. If the equation holds true, then the triangle is a right triangle.

So, we plug it in. a^2 + b^2 = c^2 becomes (80)^2 + (150)^2 = (170)^2

(80)^2 + (150)^2= 28,900

(170)^2= 28,900

since the answers are the same, we know the equation holds true, and thus the triangle is a right triangle. Hope this helps!!

The equation of the table in slope intercept form is y = - 5 / 2x - 1

Linear equation can be represented in various form, such as standard form, point slope form and slope intercept form.

But the equation of the table below will be represented in slope intercept form.

The equation in slope intercept form can be represented as follows:

y = mx + b

where

Therefore, using (-4, 9)(-2, 4)

m = 4 - 9 / -2 + 4

m = - 5 / 2

Hence, let's find the y-intercept using (0, -1)

y = - 5 / 2x + b

-1  = - 5 / 2(0) + b

b = -1

Therefore, the equation is y = - 5 / 2x - 1

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Answer:

5/6

Step-by-step explanation:

Remember your rise over run!

2.5/3 = 5/6

Answer: 3(x minus 5.50) = 111.75; the monthly Internet service is $42.75

Step-by-step explanation:

Given the following :

Total amount spent on internet for 3 months = $111.75

Monthly credit received on bill = $5.50

Monthly Credit of $5.50 means $5.50 is deducted from the amount being paid on thir bill monthly.

Assume their monthly internet service fee = x

The amount paid before the credit deduction each month:

Amount paid - credit

(x - $5.50)

For 3 months :

3 × (x - $5.50) = $117.75

3(x - $5.50) = $117.75

Monthly fee paid before credit deduction:

3(x - $5.50) = $117.75

3x - $16.50 = $117.75

3x = $117.75 + $16.50

3x = $128.25

x = $128.25 / 3

x = $42.75

Answer:

It's b !! :o]

Step-by-step explanation:

Answer:

7816422510

Step-by-step explanation:

(((5602689*12)/-6) - 186734) + ((568531+2605285376)*30)

((67232268/-6) - 186734) + (2605853907*30)

( -11205378 - 186734) + 78175617210

−11392112 + (78175617210)

= 7816422510

Answer:

Let , the constant factor be x so 3 X + 5 x + 7 x = 180

Step-by-step explanation:

Find out the value of x

7x+3x+5x=180

15x=180

x=180/15

x=12

now,

     x=3 multiplied by 12=36

     x=7 multiplied by 12=84

      x=5 multiplied by 12=60

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EXPLANATION:

Given;

We are given two triangles labeled MRS and NSR.

Required;

We are required touse the information provided rto rove tside SM is equal to side RN.

Solution;

If two sides and the included angle of one triangle are congruent to the corresponding parts of a second triangle, then we can conclude that both triangles are congruent.

Therefore;

Answer:

Joe arrived first

Step-by-step explanation:

Joe drove 150 miles 40miles per hour soo he arrived in 3:45

But frank drove 4 hour

The quantities needed to make multiple loaves of bread can be solved for by multiplying each recipe used for a loaf of bread by number of loaves of bread

A loaf of bread

2 loaves of bread

multiply each ingredients by 2

3 loaves of bread

multiply each ingredients by 3

4 loaves of bread

multiply each ingredients by 4

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9514 1404 393

Answer:

  see attached

Step-by-step explanation:

In each empty table square, fill in the value that is computed by replacing 'n' in the rule to the left with the value of 'n' above that square.

For example:

The upper left empty square will be filled with ...

  n -5 . . . . with n replaced by 1

  1 - 5 = -4 . . . . the value that goes in the upper left square.

__

Another example:

The lower right square will be filled with ...

  4n -3 . . . . with n replaced by 100

  4·100 -3 = 400 -3 = 397 . . . . the value that goes in the lower right square

_____

Additional comment

When there are numerous table values to fill, it can be convenient to let a spreadsheet do the calculations. Here, each formula was entered once, then filled to the right.

The form of the box is a rectangular prism, in which volume can be founded by multiplying its dimensions 3.5 cm, 6 cm, and 9 cm.

An infinite two-dimensional figure is represented by option B, a plane.

What are two-dimensional figures?

Two-dimensional figures are shapes with two dimensions: length and width.

They are commonly called flat shapes. When they are drawn on paper, they are two-dimensional shapes.

A two-dimensional figure is classified as a polygon if it has a closed shape with straight lines.

They may have any number of sides, such as a triangle, square, pentagon, or hexagon.

However, a plane is a flat surface that extends in all directions infinitely without ending. It is also called an infinite two-dimensional figure.A line is the shortest distance between two points, so it is not an infinite two-dimensional figure.

On the other hand, a segment is a line that has a beginning and an end, making it a finite one-dimensional figure.

A point is a location that has no size or shape, making it a zero-dimensional figure.

As a result, the only option that represents an infinite two-dimensional figure is a plane.

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A Pearson correlation coefficient of +1.00 between two variables, X and Y, indicates a perfect positive correlation between them. This means that as the values of X increase, so do the values of Y, and vice versa.

In other words, the two variables are perfectly linearly related, and there is no variability in their relationship. A Pearson correlation coefficient of +1.00 is the strongest possible correlation coefficient, and it suggests that there is a direct and strong association between the two variables being measured.

For example, let's say we have data on the height and weight of a group of individuals. If we find a Pearson correlation coefficient of +1.00 between height and weight, it means that as a person's height increases, their weight will also increase perfectly in a linear fashion. This information can be useful in predicting weight based on height, or vice versa, and can help inform decisions related to health and fitness.

Overall, a Pearson correlation coefficient of +1.00 suggests that the two variables being measured have a strong and direct relationship, which can be useful in many different contexts.

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Answer:I think you can say like the most bought music in class B is alternative and the lowest one is classical and so on

Step-by-step explanation:

Answer:

0ne solution;  x = 5

Step-by-step explanation:

if y equals both 5x - 10 and 10 + x then you can do the following:

5x - 10 = 10 + x

4x = 20

x = 5