Quadratic Function Question



You are recently promoted as the chief traffic management officer of a major city in the country. Based on recent data, you learned that one of the leading causes of road accidents is overspeeding.

In your desire to minimize road accidents, you went out to observe how traffic management rules are implemented on the streets. Your attention was caught by a fast-moving car that seemed to be breaking the speed limit of 100 kilometers per hour(km/hr.), and so you followed it along the highway. After a short time, the driver of the car noticed you and started to slow down. Eventually, he stopped on the side of the road.



Supposed the speed of the car had been noted during this time and is modeled by the quadratic equation y = 3x² + 17x - 20, where y represents the speed of the car in km/hr. and x represents the number of minutes after you started following the car. How long did it take for the car to be under surveillance before it could finally stop on the side of the road? Did the driver of the car really break the speed limit of 100 km/hr.? Explain.


You will prepare an observation report highlighting whether it is necessary to come up with more stringent implementation of traffic rules based on the outcome of your analysis of the problem that you encountered on the road.

Answer:

d. 2x-5y=-5

Step-by-step explanation:

I checked my answers with the screenshots.

The standard form of the graph equation is as follows:

The standard form equation is represented as follows;

where A, B and C are constant. x and y are variables.

using y = mx + b

where

m = slope = 2 / 5

b = y-intercept

Therefore,

1 = 2 / 5(0) + b

b = 1

Therefore,

y = 2 / 5 x + 1

In standard form, it will be as follows:

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Step-by-step explanation:

4x²-9

4x²+6x-6x-9

4x²+6x-6x-9

2x(2x+3)-3(2x+3)

2x(2x+3)-3(2x+3)

(2-3)(2x+3)

solution

(8x-3)(2x+3)

Answer:

Volume

Step-by-step explanation:

Finally, the basic metric unit of volume is the liter. A liter is slightly larger than a quart. The handle of a shovel is about 1 meter.

Answer:

Step-by-step explanation:

y = -4x +3

Y-intercept = 3

The slope is negative: - 4/1

4 down ( from y = 3) and one to the right or

4 up (from y=3) and 1 to the left.

(You only need 2 points to trace a line)

Answer:

[tex]\longrightarrow\sf{ \dfrac{3}{x - 1} + \dfrac{1}{x - 3} = \dfrac{4}{x - 2}}[/tex]

[tex]\\ \longrightarrow\sf{ \dfrac{3(x - 3) + 1(x - 1)}{(x - 1) (x - 3)} = \dfrac{4}{x - 2}}[/tex]

[tex]\\ \longrightarrow\sf{ \dfrac{3x - 9 + x - 1}{x(x - 3) - 1(x - 3)} = \dfrac{4}{x - 2}}[/tex]

[tex]\\ \longrightarrow\sf{ \dfrac{3x + x - 9 - 1}{{x}^{2} - 3x - x + 3} = \dfrac{4}{x - 2}}[/tex]

[tex]\\ \longrightarrow\sf{ \dfrac{4x - 10}{{x}^{2} - 4x + 3} = \dfrac{4}{x - 2}}[/tex]

[tex]\\ \longrightarrow\sf{ (4x - 10) (x - 2) = 4({x}^{2} - 4x + 3)}[/tex]

[tex]\\ \longrightarrow\sf{4x ( x -2 ) - 10 (x - 2) = 4{x}^{2} - 16x + 12}[/tex]

[tex]\\ \longrightarrow\sf{4{x}^{2} - 8x - 10x + 20 = 4{x}^{2} - 16x + 12}[/tex]

4x² get cancelled on both sides .

[tex]\\ \longrightarrow\sf{ - 18x + 20 = - 16x + 12}[/tex]

[tex]\\ \longrightarrow\sf{ - 18x + 16x = 12 - 20}[/tex]

[tex]\\ \longrightarrow\sf{ -2x = - 8}[/tex]

[tex]\\ \longrightarrow\sf{ x = \dfrac{- 8}{-2}}[/tex]

[tex]\\ \longrightarrow\sf{ x = 4}[/tex]

Answer:

How Long Does It Take to Run 5 Miles? Answering this question is extremely difficult since each runner is different. But the average time to run 5 miles is 50 minutes – that's 10 minutes per mile. If you're just starting out as a new runner, running 5 miles might take you an hour – or more.

Step-by-step explanation:

Answer:

~5.8mi

Step-by-step explanation:

3.5 3h

X 5h

X=(3.5×5)÷3=~5.8

Answer:

17.  A positive slope moves upward on a graph from left to right. A negative slope moves downward on a graph from left to right.

18. Zero slope means that the line is horizontal. Just like the line that makes the top of a “Z” is horizontal. No slope means that the line is vertical.

19. Use the slope formula to find the slope of a line given the coordinates of two points on the line. The slope formula is m=(y2-y1)/(x2-x1), or the change in the y values over the change in the x values. The coordinates of the first point represent x1 and y1. The coordinates of the second points are x2, y2.

20. Yes, they did because 2/6 is equivalent to 1/3.

21. A negative slope means that two variables are negatively related; that is, when x increases, y decreases, and when x decreases, y increases. Graphically, a negative slope means that as the line on the line graph moves from left to right, the line falls.

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Let's solve :

therefore, the correct choice is :

Answer:

D)

Step-by-step explanation:

from point A, draw an arc that intersects both sides of the angle

From point A, draw an arc that intersects both sides of the angles. Thus, the correct option is D.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

An angle bisector is a line or ray that divides an angle into two equal parts. The angle bisector divides the angle into two smaller angles that have the same measure.

Thus, the correct option is D.

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Answer:

Part A:

Equation: 0.65p=c

Answer: $1.30

Part B:

Equation: 0.05p=c

Answer: $0.10, or ten cents (if two pounds of computers where shipped at this reduced price)

Step-by-step explanation:

To find the total cost, first find the elements you will need. We know that we need to equal c, the cost, and we know that the pounds times 65 cents equals the cost.

0.65p=c

Now, to solve, plug in the amount of pounds.

0.65(2)=c

1.3=c

So the cost of shipping two pounds of computers is $1.30.

Now, to solve part b, we do the same as what we did in part a, except this time it only costs five cents per pound.

Make the equation.

0.05p=c

Also, at the top I put the extra, if two pounds were shipped at the reduced price just in case. But for the explantion to it, just plug to into the equation, then find the answer.

Part A: The equation for the total cost, c, to deliver p pounds is:

c = 0.65p.

The cost for shipping 2 pounds is $1.30.

Part B: The equation, after the reduction of $0.05 in the shipping of per pound is:

c = 0.6p.

Equations are relations between two quantities involving variables raised to multiple powers, making up terms along with numerals.

In the question, we are informed that Charlie's Computer Company charges $0.65 per pound to ship computers.

Part A:-

We are asked to write an equation to determine the total cost, c, to ship p pounds of computers.

We know that the total cost equation is designed as:

Total cost = fixed cost + (per unit cost)*(number of units).

Thus, the required equation is:

c = 0 + 0.65p, {Since c is the total cost, the fixed cost is 0, the quantity of computers shipped is p pounds, and per pound cost of shipping is $0.65}

or, c = 0.65p.

The cost for shipping 2 pounds, can be calculated by substituting p = 2 in the above equation.

Thus, c = 0.65*2 = 1.30.

Thus, the cost of shipping 2 pounds is $1.30.

Part B:-

We are asked to write an equation for the total cost, c, to ship p pounds of computers, when the company reduces the cost to ship computers by $0.05 per pound.

Now, the unit cost of shipping one pound of computers is $0.65 - $0.05 = $0.60.

We know that the total cost equation is designed as:

Total cost = fixed cost + (per unit cost)*(number of units).

Thus, the required equation is:

c = 0 + 0.60p, {Since c is the total cost, the fixed cost is 0, the quantity of computers shipped is p pounds, and per pound cost of shipping is $0.60}

or, c = 0.60p.

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Answer:

Speak english i can't understand.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the width be w. The length is then 3w (length is 3 times its width).

The formula for the perimeter is 2l + 2w (2 times the length + 2 times the width)

So, in our case we have 2(3w) + 2w = 72

                                  6w + 2w = 72

                                  8w = 72   divide both sides by 8

                                  w = 9

So the length = 3w = 3 x 9 = 27

Double check: we have l = 27 and w= 9. (2 x 27) + (2 x 9) = 54 + 18 = 72  Yay!!!

Step-by-step explanation:

ranges are,

-1 , -11 and 7

hope this answer helps you dear!

Answer:

R = { - 11, - 1, 7 }

Step-by-step explanation:

Substitute the values from the domain into f(x) for range

f(2) = - 2(2)² + 7 = - 2(4) + 7 = - 8 + 7 = - 1

f(- 3) = - 2(- 3)² + 7 = - 2(9) + 7 = - 18 + 7 = - 11

f(0) = - 2(0)² + 7 = - 2(0) + 7 = 0 + 7 = 7

Then

R = { - 11, - 1, 7 }

Answer:

55

Step-by-step explanation:

...............................

Answer:

the median in that numbers is 6

Step-by-step explanation

their are total 7 number which is odd

so the formula is

median = ( n + 1 /2 )^th term

now,

→ ( 7 + 1 / 2 )

→ 8/2

→ 4th term

therefore, 4th term is the median and 4th term is 6 itself.

hope this answer helps you dear...take care and may u have a great day ahead!

Answer:

a scatter plot shows how strongly two variables are related.

a scatterplot, also known as scatter graph is a graphic representation of the relationship between two numerical variables. One of the variables is represented on the horizontal axis (x-axis) while the other is represented on the vertical axis (y-axis).

Answer:

86°

Step-by-step explanation:

40 + x + 54 = 180

-> Move 40 and 54 to the other side by subtracting

x = 180-40-54

x = 86

Given the square ABCD with points A(5, 10) and B(-4, 3), the slope of the line segment BC is 7/9

The formula for calculating the slope of a line is expressed as:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Given the coordinate point  A(5, 10) and B(-4, 3)

Substituting the given coordinate into the formula for slope

[tex]m=\frac{3-10}{-4-5}\\m=\frac{-7}{-9}\\m=\frac{7}{9}[/tex]

Hence the slope of the line segment BC is 7/9

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Answer:

18

Step-by-step explanation:

1/2 = fuji    1/3 = smith

3/6 + 2/6 = 5/6     3 = 1/6  so 6 times 3 = 18 total apples

Answer:

1.52,1.77,2.02,2.27,2.52+2.77

Step-by-step explanation:

The pattern is that it increases by 0.25

Hope this helps

Have a nice day! :D

Mark brainliest if possible

9514 1404 393

Answer:

  (x -3)/(x -1)  and  (x +2)/(x -3)

Step-by-step explanation:

If you want the product of two fractions to be a/b, then 'a' must be a factor in the numerator of one of them, and 'b' must be a factor in the denominator of one of them.

'a' and 'b' are already in the numerator and denominator of a/b, so we can choose the other fraction to be something that has a value of 1, such as c/c.

  (a/b)(c/c) = (ac)/(bc) = a/b

The intermediate product (before we reduce the result) has a numerator of 'ac' and a denominator of 'bc'. We can split those into two parts however we like. For example, we can get the same result by multiplying ...

  (a/c)(c/b) = (ac)/(bc) = a/b

So, a simple answer to your question could be ...

  [tex]\left(\dfrac{x-3}{x-1}\right)\times\left(\dfrac{x+2}{x-3}\right)=\dfrac{x+2}{x-1}[/tex]

__

The idea is to multiply the given result by 1 in some form. That form can be as complicated as you like, and its factors can be grouped any way you like

[tex](4 \sqrt{3} + 3 \sqrt{2} )(4 \sqrt{3} - 3 \sqrt{2} )[/tex]

By using formula,

[tex](a + b)(a - b) = {a}^{2} - {b}^{2} \: \: we \: get[/tex]

[tex](4 \sqrt{3} + 3 \sqrt{2} )(4 \sqrt{3} - 3 \sqrt{2} ) \\ = (4 \sqrt{3)}^{2} - (3 \sqrt{2} ) ^{2} \\ = (4 \sqrt{3} \times 4 \sqrt{3} ) - (3 \sqrt{2} \times 3 \sqrt{2} ) \\ = (4 \times 4 \times \sqrt{3} \times \sqrt{3} ) - (3 \times 3 \times \sqrt{2} \times \sqrt{2} ) \\ = (16 \times 3) - (9 \times 2) \\ = 48 - 18 \\ = 30[/tex]

30

Answer: $55.35

Step-by-step explanation:

The simple interest on $2700 at a rate of 8.2% per year for 3 months will be $55.35.

Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time.

Given that,

Jack borrows $2,700 at a rate of 8.2% per year.

Principle amount P = 2700

Rate of interest = 8.2% per year

Rate of interest per month ⇒ 8.2/12 = 0.683%

The simple interest for the  T time period is given by,

Interest = PRT/100

Interest = (2700 × 0.683 × 3)/100 = $55.35

Hence "The simple interest on $2700 at a rate of 8.2% per year for 3 months will be $55.35".

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