Write an equation of the line that passes through a pair of points:
(2, 3), (4, negative 2)
a.
y = Negative five-halvesx – StartFraction 1 Over 8 EndFraction
c.
y = Negative five-halvesx + 8
b.
y = Negative five-halvesx – 8
d.
y = Five-halvesx + 8

Step-by-step explanation:

Here,

given length= 45 5/7 m( mixed fraction)

= 320/7 m( simple fraction)

similar breadth= 16 3/4 m

= 67/4 m

Now,

Area= length* breadth

= 320/7 * 67/4

=5360/7 m²

Step-by-step explanation:

I guess this means the garden is a rectangle.

the area is

length × breadth (or width or ...)

so,

45 5/7 × 16 3/4 =

= (45×7 + 5)/7 × (16×4 + 3)/4 =

= 320/7 × 67/4 = 320×67 / 7×4 = 80×67 / 7 =

= 5360/7 = 765 5/7 m²

Answer:

  80.7 mph

Step-by-step explanation:

In order to catch the car at the exit, the officer must cover the distance in 30 seconds less time than the car does. The time, speed, distance relation can be used.

The relation between time, speed, and distance is ...

  time = distance/speed

Here, speed is in miles per hour, and distance is in miles. That means time will be given in hours by the straightforward application of this formula.

  time = (3.6 mi)/(68 mi/h) = (3.6/68) h = 9/170 h

There are 3600 seconds in 1 hour, so 30 seconds represents this fraction of 1 hour:

  30/3600 = 1/120

The motorcycle will have this amount of time less than the time the car takes to reach the exit, so ...

  (9/170 -1/120) h = (9(120)-170)/(170×120) h = 910/20400 h = 91/2040 h

The speed required to cover 3.6 miles in 91/2040 hours is ...

  speed = distance/time

  (3.6 mi)/(91/2040 h) = 3.6×2040/91 mph = 7344/91 mph ≈ 80.7 mph

The officer's average speed in pursuit must be 80.7 miles per hour (or faster).

__

Additional comment

There are other ways the problem can be worked. One of them is to consider the remaining distance the car must travel when the officer begins pursuit. That will be 3.6 mi less (1/120 h)(68 mi/h) = 17/30 miles. The ratio of the officer's speed to the car's speed will be the same as the ratio of the officer's miles to the car's miles: 3.6/(3.6 -17/30) × 68 mph ≈ 80.7 mph.

Intermediate values used in the calculations should be kept at full calculator precision. Rounding should only be done at the end. Here, the actual speed required is 80.7032967... mph, rounded down for the above result.

Answer:

Step-by-step explanation:

hello :

f(x) = -3x³ + x² - 3, find f(1).

f(1) = -3(1)³ +(1)² - 3=-3+1+3 = -5

Answer:

(y - x)/(y + x)

Step-by-step explanation:

(1/x - 1/y)/(1/x + 1/y) =

= (1/x - 1/y)/(1/x + 1/y) × (xy)/(xy)

= (y - x)/(y + x)

Answer:

75

Step-by-step explanation:

Based on the short-term debt that Nelson raises, the firm's quick ratio will be 1.204.

First, find the maximum amount of short-term funds that Nelson can raise?

Assuming this amount is x, we can find it with the current ratio formula:

Current ratio = Current assets / Current liabilities

2 = (1,260,000 + x) / ( 450,000 + x)

x = $360,000

The quick ratio would therefore be:

= ( New Current assets - New inventory) / New current liabilities

= ( (1,260,000 + 360,000) - (285,000 + 360,000) ) / (450,000 + 360,000)

= 1.204

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1. 18

2.8

3.-1

An expression is a set of terms combined using the operations +, – , x or ,/.

Given:

1. 22 − 1 (4)

=22- 1*4

= 22-4

= 18

2. 2 + 2 (3)

=2+2*3

=2+6

=8

3. 1 − 2

= -1

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Length of AB = 18. 92

Length of AC = 26. 15

Length of BC = 32. 552

Using the Pythagorean theorem, we have that

[tex](20 x-2)^2 = (12x + 20)^2 + (25x)^2[/tex]

Expand the bracket

[tex]400x^2- 4 = 144x^2 + 400 + 625x^2[/tex]

Collect like terms

[tex]400x^2 - 144x^2 - 625x^2 = 400 + 4[/tex]

[tex]-369x^2 = 404[/tex]

Make x^2 subject

[tex]x^2 = \frac{404}{369}[/tex]

[tex]x = \sqrt{1.0948}[/tex]

[tex]x = 1. 046[/tex]

Thus,

Length of AB = 20x -2 = 20(1. 046) - 2 = 18. 92

Length of AC = 25x = 25* 1.046 = 26. 15

Length of BC = 12x + 20 = 12(1. 046) + 20 = 32. 552

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Answer:

all shown below

Step-by-step explanation:

y-intercept means a dot's y coordinate is 8 and on the y axis, x-i intercept means a dot's x coordinate is 9 and on the x axis

Answer:

  see the attached graph

Step-by-step explanation:

The intercepts are the points where a graph crosses the coordinate axes.

The y-intercept is the the point where the graph crosses the y-axis. The value of x is zero there. The coordinates of the y-intercept are (0, 8).

The x-intercept is the point where the graph crosses the x-axis. The value of y is zero there. The coordinates of the x-intercept are (9, 0).

You graph these intercepts by plotting the points at these coordinates.

__

In the attached graph, the intercepts are blue dots, and we have drawn a line through them. The line is not part of the graph of the intercepts. It is merely an instance of a function that has these intercepts.

Step-by-step explanation:

f(x) = x2-7x+10

f(x) = -5x+10 = -5(x-2)

= 10-5x

Let, f(x) = 0

0 = 10-5x

5x = 10

x = 2

f(2) = 10 - 10 = 0

f(5) = 10-5(5) = 10-25 = -15

Let, f(y) = f(x)

= 10-5x

y = -0

So, the correct answer is I. (- , 2) ✔✔

Answer:

C

Step-by-step explanation:

57+57+34=148

l don't know if you know it tell please

Answer:

[tex]\huge\boxed{\sf -p^4+p^3+1}[/tex]

Step-by-step explanation:

[tex]=-p^2(p^2-p-1)\\\\Distribute \\\\= -p^4+p^3+1\\\\\rule[225]{225}{2}[/tex]

Answer:

Step-by-step explanation:

To find the total perimeter of the parallelogram we must add 200+200+150+150

This equals 700. Then, since squares have side lengths that are all equal, we have to divide by 4.

700 / 4 = 175

So, the length of a side of a square having this perimeter would be 175mm

Hope this helps!

Answer:

corresponding angles

Step-by-step explanation:

i dont cap

a. The expression for profit is p(x) = -0.5x² + 40x - 300

b. The two values of x that will create a profit of $300 is 20 and 60

c. it is not possible for the company to make a profit of $15,000

The profit is the selling price minus the cost price.

Therefore,

Profit = revenue - cost

a.

The expression for profit is as follows;

p(x) = 90x − 0.5x² - (50x + 300)

p(x) = 90x − 0.5x²  - 50x - 300

p(x) = -0.5x² + 40x - 300

b.

The two values of x that will create a profit of $300 is as follows;

-0.5x² + 40x - 300 = 300

-0.5x² + 40x - 600 = 0

0.5x² - 40x + 600 = 0

x² - 80x + 1200 = 0

(x - 20)(x - 60)  = 0

x = 20 and 60

Therefore, the two value of x are 20 and 60

c.

-0.5x² + 40x - 300  = 15000

-0.5x² + 40x - 300 - 15000 = 0

-0.5x² + 40x - 15300 = 0

x² - 80x + 30600 = 0

There is no real solution. Therefore, it is not possible for the company to make a profit of $15,000

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Answer:

.750

Step-by-step explanation:

Answer:

The percentage of 28 students who are 14 students is 50%.

Step-by-step explanation:

If you run the program and print(c), your result will be: c = 35

A program can be defined in terms of arithmetical functions as a set of instructions that are used to arrive at a solution.

A program guides the computer system on what the user wants.

Analysis

a = 2 + 6 = 8

b = 7 % 3 = 1

c = a - b  = 7

c = c * 5  = 35

In conclusion, If you run the program and print(c), your result will be: c = 35

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The midrange of the weekly salaries is $902.50.

Midrange is a measure of variation of a data set. Midrange is the mean of the lowest and highest salary.

Midrange + (lowest salary + highest salary) / 2

(692 + 1113) / 2 = $902.50

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The answers to the following word problems are given below:

A Word problem can be defined as a mathematical problem that is given in a sentence format.

A word problem needs the student to decipher it and then translate it to a normal arithmetic problem.

In conclusion, The answers to the word problems are given

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The amount invested at 8% was $1400, $1900 was invested at 9% and $4400 was invested at 12% making a total annual income of $811.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the amount of money invested at 8%, y represent the amount of money invested at 9% and z represent the amount of money invested at 12%

x + y + z = 7700   (1)

Total interest is:

(x * 1 * 0.08) + (y * 1 * 0.09) + (z * 1 * 0.12) = total interest

0.08x + 0.09y + 0.12z = 811    (

Also:

z = 1100 + x + y    (3)

From equation 1, 2 and 3:

x = 1400, y = 1900 and z = 4400

T

The amount invested at 8% was $1400, $1900 was invested at 9% and $4400 was invested at 12% making a total annual income of $811.

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An interpretation of the relationship between the variables in this graph is that: C. you leave home, drive for 2 hours at a constant speed, and then stop for 1 hour. Finally, you continue at a slower (but constant) speed than before.

A graph can be defined as a type of chart which is used to graphically represent the relationship between the variables in a data set, on both the horizontal and vertical lines of a cartesian coordinate i.e x-axis and y-axis.

By critically observing the graph attached in the image below, we can infer and logically deduce that an interpretation of the relationship between the variables in this graph is that you drove at a constant speed for 2 hours, and then stopped for 1 hour. Finally, you continued at a slower, but constant speed than before.

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The interest that Jimmy's account has earned is $35.95.

Interest is the total increase in excess of the amount deposited in the account. Interest earned can be determined by subtracting the amount deposited from the current balance.

Interest = current balance - amount deposited

$3,485.95 - $3,450.00 = $35.95

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Answer:

lenght

Step-by-step explanation:

I think it is that because it says ONE SIDE and for area and perimeter of a square/ rectangle you need more than one side

hope it helps

Answer:

  1/4

Step-by-step explanation:

The inverse function tells you the input value that corresponds to the given output value of the function.

You want f^-1(3), which is the value of x such that f(x) = 3.

  f(x) = 3 = 4x +2

  1 = 4x . . . . . . subtract 2

  1/4 = x . . . . . divide by 4

The inverse function of 3 is 1/4:

  [tex]\boxed{f^{-1}(3)=\dfrac{1}{4}}[/tex]

Answer:

[tex] \large{ \boxed{ \tt{ - 20a {z}^{2} - 2 {z}^{3} - 2 {a}^{3} + 11 {a}^{2} z }}}[/tex]

- Please see the attached picture for full solution!:)

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