Some college friends have decided to go on a road trip over the summer with some friends. Finances are tight and they need to hire a car for the trip. There are two hire companies to choose from: Crazy Curly's charges a base fee of $20 and then 30 cents per mile. Bill's Beauties charges 20 cents per mile and a base fee of $50. - Write a system of equations that can be used to determine at what trip distance Bill's and Curly's rental cost would be the same. - At what trip distance would Bill's and Curly's rentals cost the same amount?

Answer:

Step-by-step explanation:

Given is the quadratic function

In order to have two real roots the discriminant should be posivive

We need D > 0

There is no solution as b² is never negative

Answer:

18.84 square centimeters

Step-by-step explanation:

[tex]C =[/tex] [tex]\pi[/tex][tex]d[/tex]

[tex]C = (3.14)(6)[/tex]

[tex]C = 18.84[/tex] [tex]cm^{2}[/tex]

P.S: Diameter is radius + radius so that means that diameter is 3 + 3 for this problem.

Answer:

[tex]\mathsf{y < \dfrac47x-4}[/tex]

Step-by-step explanation:

First, find the equation of the line.

Slope-intercept form of a linear equation:  [tex]\mathsf{y=mx+b}[/tex]

(where m is the slope and b is the y-intercept)

From inspection of the graph, the y-intercept is at (0, -4)

Therefore, b = -4

Choose another point on the line, e.g. (7, 0)

Now use the slope formula to find the slope:

[tex]\mathsf{slope=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

where:

[tex]\implies \mathsf{slope=\dfrac{0-(-4)}{7-0}=\dfrac47}[/tex]

Therefore, the equation of the line is:

[tex]\mathsf{y=\dfrac47x-4}[/tex]

For an inequality, the dashed line means < or >  (whereas a solid line means ≤ or ≥)

As the shading is below the line, we need to use <

Therefore, the final inequality is:

[tex]\mathsf{y < \dfrac47x-4}[/tex]

Hey there!

x(-2x + 3)

= 1x(-2x + 3)

DISTRIBUTE 1x WITHIN the PARENTHESES

= 1x(-2x) + 1x(3)

= -2x(1x) + 3(1x)

= -2x^2 + 3x

Therefore, your answer is: -2x^2 + 3x

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

1. a) SR = 23

b) QV = 25

c) QT = 20

d) PQ = 40

e) VS = 4·√6

2. a) LH = 16

b) EL = 2·√185

c) JG = 30

d) EK = 22

e) KG = 30

3. a) XT = 37

b) TZ = 34

c) ZW = 17

d) XZ = 21

e) SY = 69

Step-by-step explanation:

The circumcenter ΔPQR is the center of the circle that circumscribes ΔPQR

The length of the radius of the circle ≡ VR = VP = QV = 25

a) Given that VR ≅ VP - Radius of circumcircle

VS ≅ VS Reflective property

∠VPS ≅ ∠VRS - Base angles of an isosceles triangle

Right triangle VPS ≅ Right triangle VRS -Hypotenuse and one Leg HL congruency

Therefore, SR ≅ PS -Corresponding parts of congruent triangles are congruent CPCTC

SR + PS = PR = 46

SR + PS = SR + SR = 2·SR = 46

∴ SR = 46/2 = 23

b) QV = VR = 25 = Radius of circumcircle of ΔPQR -Given V = center and Q = vertices of the triangle circumscribed by the circle referred to in the question

c) QT = √(QV² - TV²) = √(25² - 15²) = √400 = 20

d) TV ≅ TV - Reflexive property of congruency

ΔTQV ≅ ΔTVP - Hypotenuse and one Leg (HL) congruency

QT ≅ TP -Corresponding parts of congruent triangles are congruent CPCTC

PQ = QT + TP Given

∴ PQ = QT + QT since QT = TP

PQ = 2·QT = 2 × 20 = 40

e) VS = √(VR² - SR²) = √(25² - 23²) = √96 = 4·√6

2.  The incenter is the center of the incircle of ΔEFG

 a) LH = LK = JL = 16 -Radius of incircle of ΔEFG

b) EL = Hypotenuse of right triangle LHE = √(LH² + EH²) = √(16² + 22²) = √740 = 2·√185

c) JG = Leg length of right triangle JGL = √(LG² - JL²) = √(34² - 16²) = √900 = 30

d) EK = Leg length of right triangle LKE = √(EL² - LK²) = √(740 - 256) = 22

e) KG = Leg length of right triangle LKG = √(LG² - LK²) = √(34²- 16²) = √900 = 30

3. Point Z id the centroid of ΔRST

a) XT = XS - point X on ST bisected by median line RX

ST = XT + XS = XT + XT = 2.XT = 74

XT = 74/2 = 37

b) TZ = 2/3×TW  - Length from a vertex to the centroid on a median line is equal to two third the length of the median line

TZ = 2/3×51 = 34

c) TZ + ZW = TW

∴ ZW = TW - TZ = 51 - 34 = 17

d) RZ = 42 = 2/3×RX - Length from a vertex to the centroid on a median line is equal to two third the length of the median line

∴ RX = 3/2×42 = 63

RZ + XZ = RX - Given

XZ = RX - RZ = 63 - 42 = 21

e) SZ = 2/3×SY - Length from a vertex to the centroid on a median line is equal to two third the length of the median line

SZ + ZY = SY

∴ ZY = SY - SZ = SY - 2/3×SY = 1/3×SY = 23

Which gives;

SY = 3 × 23 = 69.

Answer: Look at the screenshot

Step-by-step explanation:

Ive added a screenshot of what this graph should look like

Answer:

*View attached graph*

Step-by-step explanation:

I graphed 6 points, so you are able to choose the ones you want :)

*View attached graph*

Hope this helps!

Answer:

d 2.5 line is 6.9 which is 9.4

Step-by-step explanation:

because

Answer:

I think it would be 10

Step-by-step explanation:

Hope this helps:)...if not then sorry for wasting your time and may God bless you:)

Answer: The mode is 12 because it is repetitive among the numbers in the set of numbers.

Answer:

I believe it is 106 Square meters

Step-by-step explanation:

Easiest way to find area for these kind of shapes is to break them into smaller rectangles, this specific one can be broken 3 ways...

Right: 4m long, 7m tall

Top: 10 long, 5 tall *(12-7)*

Left: 4m long, 7m tall

*To find incomplete ones, you find clues in other sides, for instance the whole side was 12, the broken part was 7, therefor you just subtract 7 from 12, giving you 5 for the top.*

Then you just multiply...

4x7=28
4x7=28
10x5= 50

Now, you have the area for three individual smaller rectangles. So you simply add them together to get the whole shapes area...

28+28+50=106

Therefor, your answer should be 106 square meters- if I'm not mistaken.

Hope this helps, brainliest is appreciated if its right, trying to rank up :)

Have a great day! cx

~Mitsuna

Answer:

106

Step-by-step explanation:

Here's one way of finding the area:

Find the area of the entire outer rectangle. Then subtract the area of the samlle rectangle in the bottom middle.

A = LW - lw

A = (10 m)(12 m) - (2 m)(7 m)

A = 120 m² - 14 m²

A = 106 m²

Answer:

Looking at the first two given ordered pairs (3, 5) and (4, 7), it appears that for every increase of 1 unit of x, there is an increase of 2 units of y.

Let's check by writing the next ordered pairs using this rule:

(5, 9)  (6, 11)  (7, 13)  (8, 15)

As the the ordered pair (8, 15) is in the table, then we can confirm that this is the rule.

Writing the rule as an equation:

y = 2x - 1

Therefore, n = 6

Answer:

y = 2x - 1

n = 6

Step-by-step explanation:

Hello!

This is an arithmetic sequence.

An Arithmetic sequence, also known as an arithmetic progression, is a string of numbers that follow a pattern where the difference between two terms is always the same (constant).

An Arithmetic sequence is modeled by the explicit function:[tex]\bold{t(n) = (CD)n + t(0)}[/tex]

Let's go step by step to solve these equations:

Step 1: Common Difference

The common difference of a sequence is similar to the slope of a line. The slope formula is given as [tex]\bold{\frac{y_2 - y_1}{x_2-x_1}}[/tex].

We can input values of x and y to find the common difference

We have the CD, 2!

Step 2: Starting Value

The starting value can be shown as the y-intercept of the line or the origin point of the sequence.

To find the starting value or t(0), we can input an x and y value for "n" and "t(n)"

We know have the starting value, -1!

Step 3: The Equation

We now have all the values for our equation. let's bring our attention back to the input and output variables. Since we know that "t(n)" is the same as "y" and "n" is the same as "x", we can plug that instead of t(n) and n.

Solve for n:

With our equation, we can plug in 11 as the output and solve for n.

n = 6

_______________________________________________________

Another way to solve this is to find the Recursive Equation

The Recursive Equation is only meant to find the next term, it doesn't do so well in finding the terms in the long run.

The basic form of a recursive equation is t(n + 1) = t(n) + (CD); where t(0) is ____

I'm not going to go in-depth with this, but you can see the values that we solved above can be implemented here.

Our recursive equation is t(n + 1) = t(n) + 2; where t(0) is -1

The port outside of the semi-colon represents where the sequence starts. If only t(n+1) = t(n) + 2 is given, we could start at 5, and go as 5, 7, 9...etc.

We would start by finding t(1) by doing:

We can confirm this using our explicit rule: y = 2x - 1

Answer:

a) As weekly costs are fixed at $300, we simply need to shift the function up 300 units. (the new function is shown in blue on the attached graph).

b) Reading from the (blue) graph, the total cost of producing 75 books in a week is $600.

fixed cost + variable cost = $300 + $300 = $600

Answer:

4200

Step-by-step explanation:

I got that answer because your problem asked for the hundredth. Pretend the first 4 isn't there for a moment and round 184 to the nearest hundredth. Then place the 4 in front of what you got.

Answer:

f(x) = 3^x+3

f(x) = 9.3^x+1

Step-by-step explanation:

Hope it helps you in your learning process.

Answer:

volume = x(x + 2)(x - 1)

soil = 30 ft³

Step-by-step explanation:

volume of a cuboid = width x length x height

Substituting given values into the equation:

⇒ volume = x(x + 2)(x - 1)

If width = 3ft, then x = 3:

⇒ volume = 3(3 + 2)(3 - 1)

                 = 3(5)(2)

                 = 30 ft³

There is no solution for the given function [tex]\rm f(x) = -0.5|2x+2|+1[/tex] when f(x) = 6 option fourth is correct.

It is given that the function  [tex]\rm f(x) = -0.5|2x+2|+1[/tex]

It is required to find the values of x when f(x) = 6

It is defined as a special type of relationship and they have a predefined domain and range according to the function.

We have a function:

[tex]\rm f(x) = -0.5|2x+2|+1[/tex]

And f(x) = 6

Putting the value of f(x) in the above equation, we get:

[tex]\rm 6 = -0.5|2x+2|+1[/tex]   or

[tex]\rm -0.5|2x+2|+1= 6\\\\\rm -0.5|2x+2|= 6-1\\\\\rm -0.5|2x+2|+5\\\\\rm |2x+2|= \frac{5}{-0.5} \\\\\rm |2x+2|= -10[/tex]

Here we can see the mod function values is negative which is not possible, hence there is no solution for the above equation for any 'x'

Thus, there is no solution for the given function [tex]\rm f(x) = -0.5|2x+2|+1[/tex] when f(x) = 6.

Learn more about the function here:

brainly.com/question/5245372

Answer:

3.6.

Step-by-step explanation:

15% = 15/100 = 0.15

so the answer is 0.15 * 24

= 3.6

Answer:

3.60

Step-by-step explanation:

Note:

Of = Multiply

15% can also be written as .15 as decimal

Solve:

.15 × 24 = 3.60

 Or we can solve like this:

[tex]\frac{24}{x}=\frac{100\%}{15\%}[/tex]

[tex]\frac{x}{24}=\frac{15}{100}[/tex]

[tex]\Rightarrow x=3.6[/tex]

Therefore, 15% of  £24 is 3.60

~Lenvy~

Answer: 48

Step-by-step explanation:

3x16=48

3 gallons=48 cups

There are 48 cups in 3 gallons.

To start your conversion, you need to know how many cups are in one gallon.

There are 2 cups in 1 pint, and 2 pints in 1 cup.

Answer:

240 ft^2

Step-by-step explanation:

10*18=180

20*6=120

120/2 = 60

180+60=240

Answer: 5√(50) = 35.36 m^2

Step-by-step explanation:

The cross section is a rectangle, so its area formula is: Area = length * width.

If you look, the width is the diagonal of the side of the cube; thus, you can use Pythagorean theorem to find its measurement: a^2 + b^2 = c^2 → 5^2 + 5^2 = c^2 →

50 = c^2 → c = √(50)

Now, use the area formula and get: Area = 5 * √(50) = 5√(50) = 35.36 m^2 :)

Answer:

Step-by-step explanation:

x + 10 = - 6x - 18

7x = - 28

x = - 4

and y = - 4 + 10 = - 6

Answer:

C

Step-by-step explanation:

Step-by-step explanation:

1a) =>3(3x+1)/4(3x+1)=3/4

b) => 2x(x+5)/(x+5)²=2x/x+5

2) a raph restriction means that the graph stops where the restriction says. But because the y's are the output of the x's, they only give u the x restriction and then you can calculate the point by finding the y coordinate. This may sound weird but here is an example:

[1,3] => this means the graph will only show between the points 1 and 3 (on the x-as). Both points are included in the graph.

[1,3[ => this means the raph will only show between the points 1 and 3 but 1 is still a part of the graph but not 3 so up till every little number but just not 3.

hope u get it lol

Answer:

139.0932

Step-by-step explanation:

729×18%×(1+6%)

729x0.18x(1+0.06)

729x0.18x1.06

139.0932

Answer:

hello

f (2 ) = 6 et  f ( 0 ) = 3

( 3 - 6 ) / ( 0 - 2 ) = - 3/- 2 = 3/2

ax =  3 x /2

f (0) = 3  ⇔ b =  3

f (x) =  3 x /2 + 3

also  f ( 0) = 0 + 3 = 3  

sorry

y = ax + b

b = 3

since the line cuts the y-axis in 3

then for a ? which is the slope..

we take 2 points on the line (0 ; 3) and (2 ; 6)

we move 2 units to the left to go up 3 units

so a = 3/2

=> y = 3/2x + 3

or

f(x) = 3/2x + 3

The mean of the data set, 6, 11, 5, 2, 7, is: 6.2.

The mean of a data set is the average of the data points or the sum of all the data points divided by the total number of data points in the data set.

Given the data set, 6, 11, 5, 2, 7:

Mean = (6 + 11 + 5 + 2 + 7)/5

Mean = 31/5

Mean = 6.2

Therefore, the mean of the data set, 6, 11, 5, 2, 7, is: 6.2.

Learn more about the mean on:

https://brainly.com/question/19243813

Answer:

6.2

Step-by-step explanation:

Answer:

x=3

y=3

Step-by-step explanation

Here we have been given with two equations and we will solve them by substitution by elimination method.

Transposing y in 1st equation from L.H.S. to R.H.S. it would be negative,

[tex] \implies \: \displaystyle\sf{x \: = \: 6 - y}[/tex]

Now, we would substitute this value of x in Equation No 1.

[tex] \implies \: \displaystyle\sf{2 \: (6 - y) \: = \:15 }[/tex]

[tex] \implies \: \displaystyle\sf{2 \: \times (6 - y) \: = \:15 }[/tex]

[tex]\implies \: \displaystyle\sf{12 - 2y \: = \:15 }[/tex]

Transposing 12 to R.H.S.,

[tex] \implies \: \displaystyle\sf{ - 2y \: = \:15 - 12 }[/tex]

[tex]\implies \: \displaystyle\sf{ - 2y \: = \:3}[/tex]

[tex]\implies \: \displaystyle\bf{ y \: = \: - \dfrac{3}{2} }[/tex]

Therefore, value of y is - 3/2.

★ Finding out value of x:-

[tex] \implies \: \displaystyle\sf{x \: = \: 6 - y }[/tex]

[tex]\implies \: \displaystyle\sf{x \: = \: 6 - ( \dfrac{ - 3}{ 2} )}[/tex]

[tex]\implies \: \displaystyle\sf{x \: = \: \frac{12 + 3}{2} }[/tex]

[tex]\implies \: \displaystyle\bf{x \: = \: \frac{15}{2} }[/tex]

Henceforth,

Answer:

Rs. 22,080.

Step-by-step explanation:

Let the height be x m then the breadth is 3x and the length 5x m.

x * 3x * 5x = 960

15x^3 = 960

x^3 = 64

x = ∛ 64 = 4m.

Therefore the height is 4m, the breadth = 12 m and the length = 20m.

So the area of all the surfaces

= 2 * short wall + 2 * long wall + floor + ceiling

= 2 *4*12 + 2*4*20 + 12*20 + 12*20

=  96 + 160 + 240 + 240

= 736 m^2.

Cost plastering  = 736 * 30 = Rs. 22,080