Which is a graph of y = 3x – 1?

Answer:

Step-by-step explanation:

Let x = the number of 50-cent increases in the cost of a book rental.

Right now he is renting 38 books per day at $3 per rental. If he raises his price he will lose 4 rentals per increase. The money part of this is:

$3 + .5x = the price per book rental after the increase. That's how much money he will make. The money made is NOT the same thing as the number of rentals. Therefore, they are put into separate expressions.

The number of rentals is:

38 - 4x. This is the number of books he is currently renting minus the number of book rentals he will lose per price increase. Putting those 2 expressions together and multiplying them will give you the end result of this increase in price.

(3 + .5x)(38 - 4x) = 114 - 12x + 19x - 2x², or putting it in descending powers of x and combining like terms:

-2x² + 7x + 114

Answer:

Step-by-step explanation:

Here is your x/y table, a bit more organized:

  x |  3       5       7

  y | -2    -26    -50

The rate of change is the same thing as the slope. If the slope between coordinates 1 and 2 is the same as the slope between coordinates 2 and 3, we have a linear function in the form y = mx + b, where m is the slope and b is the y-intercept. We will have to solve for b if we want to use this form. Or we could use the point-slope form and not have to solve for b. Let's do that. But first things first. The slope:

Between the first 2 coordinates (3, -2) and (5, -26):

[tex]m=\frac{-26-(-2)}{5-3}=\frac{-24}{2}=-12[/tex]

Between coordinates 2 and 3 which are (5, -26) and (7, -50):

[tex]m=\frac{-50-(-26)}{7-5} =\frac{-24}{2}=-12[/tex]

The slopes are the same, so this in fact a linear function with m = -12. But that's all we have, so let's use the point-slope form of a line to write the equation:

[tex]y-y_1=m(x-x_1)[/tex] where [tex]x_1[/tex] and [tex]y_1[/tex] are coordinates found in the table. Plugging in the first coordinate along with the slope of -12:

[tex]y-(-2)=-12(x-3)[/tex] and

y + 2 = -12x + 36 and

y = -12x + 36 - 2 so the equation for the line in slope-intercept form is

y = -12x + 34

Regardless of which coordinate point you choose as your x1 and y1, I promise you that you will still get the same equation for the line!

Answer:

hi its  -12 and decreasing.

Answer:

112°

Step-by-step explanation:

∠OLM= 2x, ∠PON= x

∠LOK= x

∠OKL= 180-124= 56

∠OLM= ∠OKL+∠LOK

x+56°= 2x

x= 56°

2x= 112°

Answer:

78.5 cm

Step-by-step explanation:

The area of a circle is represented by A = πr². Since we are replacing the value of pi(π) with 3.14, and the diameter is 10, meaning the radius(r) is 5, we can plug both values into the equation, to get A = 3.14(5^2). This simplifies to 78.5.

Answer:

[tex]solution \\ diameter = 10 \: cm \\ radius = \frac{10}{2} = 5 \: cm \\ area \: of \: circle = \pi \: {r}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14 \times {5}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14 \times 5 \times 5 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14 \times 25 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 78.5 {cm}^{2} [/tex]

hope this helps...

Good luck on your assignment...

ANSWER: False

This is false because alcohol can have effect as soon as the first drink, depending on the type of person you are.

For example, if your parents drank, and you were born early (a preemie) this can affect your ability to drink.

Hope this helps! ^^

Answer:

False

Step-by-step explanation:

Loooook above

Answer:

y=6x-5

Step-by-step explanation:

The standered form for the equation of a liner line is y=mx+b where m=the slope and b= the y intercept.

First you need to find the slope which is the change in y over the change in x. The change in the y values (7 and -5) is -12 and the change in the x values (2 and 0) is -2. So the slope is -12/-2 which can be simplified to -6/-1 or 6.

Now that you have the slope you just need the y-intercept. Pick one of the two points from the problem and input that into the x and y values and solve for b. For example 7=6(2)-b where 6(2)=12 and you can then subtract 12 from each side to isolate be and end up with b=-5.

In your final answer, x and y remain as variables to get y=6x-5.

Answer:

3(3+4n)

Step-by-step explanation:

Answer:

There are 86,400 seconds in a day. (Answer choice C)

Answer:

5565

Step-by-step explanation:

5565

intuitively i think its 5565 ;)

Answer:

Plot 1 area= 32.5cm²

Plot 2 area = 73.0925cm²

Plot 3 area = 35cm²

Plot 4 area = 54cm²

Total the area of field​ = 194.5925cm²

Step-by-step explanation:

To find the area of each plot, we need to find the area of the shape of each plot.

A diagram related to the question found at brainly (question ID: 18861101)

has been attached.

Plot 1 is a right angle triangle:

Area = ½ × base × height

AE = 19cm, CF = DE = 7cm

Ad = AE - DE

base =AD =  19-7 = 12cm

Using Pythagoras theorem

height = CD = √(AC² - AD)²

AC = 13cm

CD = √(13² - 12²) = √(169-144)

height = CD = √25 = 5

Area = ½ × 13×5 = 65/2

Area = 32.5cm²

Plot 2 is an equilateral triangle

Area = ½ × base × height

Area of the equilateral triangle = s²/4 ×(√3)

Where s = side = 13cm

√3=1.73

Area of the equilateral triangle = (13)²/4 ×(√3) = 169/4 × 1.73

= 42.25 × 1.73 = 73.0925cm²

Plot 3 is a rectangle

Area of the rectangle = length × width

length = FC = 7cm

width = CD = 5cm

Area of the rectangle = 7×5 = 35cm²

Plot 4 is a trapezium

Area of trapezium = ½(a+b) × height

a = FE = CD = 5cm

b = GH = 17cm

Height = ?

To get night let's break the trapezium diagram. We would have two triangles and 1 rectangle.

FE = CD= 5cm

From the 2nd diagram of the triangle,

Using Pythagoras theorem to find h in  both triangles:

9² = h²+x²

h² = 81-x² ...(1)

15² = h²+(12-x)²

225 = h² +144-24x+x²

81 = h²-24x+x² ...(2)

Substitute 1 in 2

81 = 81-x² + x²-24x

24x = 0

x = 0

h² = 81-0² = 81

h = √81 = 9cm

base of the triangle = GH-FE = 17-5 = 12cm

Area of trapezium = ½(5+7) × 9

= 12/2 × 9 = 54cm²

Total the area of field​ = area of right angled triangle + area of equilateral triangle + area of rectangle +area of trapezium

= 32.5cm² + 73.0925cm² + 35cm² + 54cm²

Total the area of field​ = 194.5925cm²

Answer:

$52.5

Step-by-step explanation:

Costing Price = $50

Tax = 5% of $50

=> [tex]\frac{5}{100} * 50[/tex]

=> 0.5*5

=> $2.5 Tax

Total Cost = CP + Tax

=> $50 + $2.5

=> $52.5

Answer:

52.50

Step-by-step explanation:

i just did the test

problem decoded dude

thank and follow me :)

If the length of a diagonal of a square is a . The length of its side will be a/√2.

The area of the square is found as the square of the length of its side. If the length of a side is a;

Area of a square = side²

Given;

The length of the diagonal is a and the side of the square is x then;

From the pythogorours theorem;

⇒x²+x² =a²

⇒2x²=a²

⇒x²=a²/2

⇒x=a/√2

Hence the length of its side will be a/√2.

To learn more about the area of the square, refer to:

https://brainly.com/question/1658516

#SPJ2

Answer:

see below

Step-by-step explanation:

Angle B is 100 degrees because vertical angles are equal

<B and angle X are same side interior angles and since AD and EH are parallel lines same side interior angles are complementary

B + X = 180

100 +x = 180

x = 180-100

x = 80

Answer:

second option

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Simplifying the radicals

[tex]\sqrt{27x^{3} }[/tex]

= [tex]\sqrt{9(3)x^2.x}[/tex]

= [tex]\sqrt{9}[/tex] × [tex]\sqrt{3}[/tex] × [tex]\sqrt{x^2}[/tex] × [tex]\sqrt{x}[/tex]

= 3 × [tex]\sqrt{3}[/tex] × x × [tex]\sqrt{x}[/tex]

= 3x[tex]\sqrt{3x}[/tex]

-------------------------------

[tex]\sqrt{12x^{3} }[/tex]

= [tex]\sqrt{4(3)x^2.x}[/tex]

= [tex]\sqrt{4}[/tex] × [tex]\sqrt{3}[/tex] × [tex]\sqrt{x^2}[/tex] × [tex]\sqrt{x}[/tex]

= 2 × [tex]\sqrt{3}[/tex] × x × [tex]\sqrt{x}[/tex]

= 2x[tex]\sqrt{3x}[/tex]

---------------------------------------

Thus

3 × 3x[tex]\sqrt{3x}[/tex] - 2 × 2x[tex]\sqrt{3x}[/tex]

= 9x[tex]\sqrt{3x}[/tex] - 4x[tex]\sqrt{3x}[/tex]

= 5x[tex]\sqrt{3x}[/tex]

Answer: b > 13

Step-by-step explanation: b= 14 and 14 is larger than 13. So using the greater than symbol is correct.

Answer:

b > 13

Step-by-step explanation:

Because, if you recall seeing that b = 14 above the question, then you would say that b is greater than 13 because b = 14.

Answer: x= 2

Step-by-step explanation:

(8 X 4)+[8 X (-x)]= 7x+2

32- 8x = 7x+2

-8x-7x =2-32

-15x = -30

x= 2

Answer:

x=2

Step-by-step explanation:

[tex]8(4-x)=7x+2[/tex]   Original equation

[tex]32-8x=7x+2[/tex]   Distributive property on left

[tex]30=15x[/tex]   Combine like terms and isolate the variable (x)

[tex]2=x[/tex]   Divide both sides by 15 (Division Property of Equality)

Answer:

Step-by-step explanation:

Answer:

Multiply by ∛2 and translate the graph to left by 4 units.

Step-by-step explanation:

The initial function given is:

y = -∛(x - 4)

The transformed function is:

y = -∛(2x - 4)

Consider the initial function.

y = -∛(x - 4)

(Represented by Black line in the graph)

Multiply the function by ∛2. The function becomes:

y = -∛(x - 4) × ∛2

y = -∛(2)(x-4)

y = -∛(2x-8)

(Represented by Red line in the graph represents this function)

Translate the graph 4 units to the left by adding 4 to the x component:

y = -∛(2x-8+4)

y= -∛(2x - 4)

(Represented by Blue line in the graph)

Answer:

c on ed

Step-by-step explanation:

i j did it

Answer:

A

Step-by-step explanation:

Since the time depends on the pages, the answer is time(pages).

Answer:

A

Step-by-step explanation

Because time , book , and number of pages in the book is in the text

Answer:

-3 Or 3 it could be any one of them

Step-by-step explanation:

-3 or 3

Rise/run so an

Answer:

5/16

Step-by-step explanation:

5/12 × 3/4

Multiply.

15/48

Simplify.

5/16

[tex]solution \\ radius = 9 \: m \\ area \: of \: circle = \pi \: {r}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14 \times {9}^{2} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14 \times 81 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 254.34 \: {m}^{2} \\ [/tex]

Hope it helps...

Good luck on your assignment

Answer:

[tex]= 254.34 {m}^{2} \\ [/tex]

Step-by-step explanation:

[tex]area = \pi {r}^{2} \\ = \pi \times 9 \times 9 \\ =3 .14 \times 81 \\ = 254.34 {m}^{2} [/tex]

hope this helps you.

brainliest appreciated

good luck! have a nice day!

Answer:

84 cm.

Step by Step Explanation:

length= 12 cm

breadth= 7 cm

Height= 4 cm

Area= L×B

= (12×7) cm

= 84 cm^2

answer

y = cos(x - π/2) Solve for x:

y = sin(x)

y = sin(x) is equivalent to sin(x) = y:

sin(x) = y

Take the inverse sine of both sides:

Answer: |

| x = π - sin^(-1)(y) + 2 π n_1 for n_1 element Z

or x = sin^(-1)(y) + 2 π n_2 for n_2 element Z

Answer:

What am I supposed to do

Step-by-step explanation:

Answer:

the answer is D

Step-by-step explanation:

y>4 : the shaded region is above the line

y>x : the shaded region is above the line

Answer:

[tex]a_{n}[/tex] = - 1 [tex](-3)^{n-1}[/tex]

Step-by-step explanation:

The explicit formula for a geometric sequence is

[tex]a_{n}[/tex] = a [tex](r)^{n-1}[/tex]

where a is the first term and r the common ratio

Here a = - 1 and r = 3 ÷ - 1 = - 3 , thus explicit formula is

[tex]a_{n}[/tex] = - 1 [tex](-3)^{n-1}[/tex]

Answer:

Solution,

[tex]area \\ = 9 \times 6 + \frac{1}{2} \times (6 + 11) \times 6 \\ = 54 + \frac{1}{2} \times 17 \times 6 \\ = 54 + 51 \\ = 105 \: {cm}^{2} [/tex]

hope this helps...

Good luck on your assignment..

Answer:

Step-by-step explanation:

see attached

Answer:

I'm not sure what your choices are or if you have any choices. Try y+ 1/2 = 3(x-2)

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

on edg2021