a) Model this situation with a linear system:
To rent a car, a person is charged a daily rate and a fee for each kilometre driven. When Chena
rented a car for 6 days and drove 320 km, the charge was $286.00. When she rented the same car
for 10 days and drove 900 km, the charge was $605.00.
b) Determine the daily rate and the fee for each kilometre driven.

Answer:

Step-by-step explanation:

Plugin x = 0 & y = -2 in the LHS of the equation. After substituting, if you get the RHS, then this point is the solution of the equation.

x - 2y = 0 - 2*(-2)

         = 0 + 4

         = 4  = RHS.

(0,-2) is solution of the equation.

Answer:

possible?? but I think that there is a typo, and that there would not be a bias

Step-by-step explanation:

can we assume that there are no typos in the question

he threw BUTTONS in the air, and look at buttons that landed with the BOTTOMS facing up ??? in that case the weight might bias the orientation of the landing... I think that you have a typo and it just says that he collected 14 BUTTONS, in that case given that they are "IDENTICAL" we most likely can assume that there would be no bias (size color, texture are all the same)

Answer:

[tex]y = - \frac{1}{2} x + 4[/tex]

Step-by-step explanation:

Let us consider two points through which the line passes through

[tex](x_1 , y _ 1 ) = ( 0 , 4 ) \ and \ (x_ 2 , y _ 2 ) = ( 4, 2 )[/tex]

Step 1 : Find slope of the line

[tex]Slope, m_1 = \frac{rise}{run} \\\\That \ is \ m_1 \ = \frac{y_2 - y _ 1}{x_2 - x_1}[/tex]

                  [tex]= \frac{2 - 4}{4-0} \\\\=-\frac{2}{4}\\\\= - \frac{1}{2}[/tex]

Step 2 : Find equation of the line.

[tex](y - y _ 1) = m_ 1 (x - x_1)\\\\( y - 4) = - \frac{1}{2}(x - 0)\\\\y = -\frac{1}{2}x + 4[/tex]

Answer:

$240

Step-by-step explanation:

They spend 5% of their monthly income on transportation, so you want to work out 5% of 4800.

An easy trick with 5% is to divide by 10 (drop the ending 0) and then divide by 2. This would be 4800/10/2, or 480/2, which gives 240.

**This content involves using percentages which you may wish to revise.

Answer:[tex]\color{yellow}{}[/tex]

[tex]\color{iron}{{-1, 0, 4}}[/tex]

[tex]\color{iron}{{-3, 1, 2}}[/tex]

Domain is 5 and the range is 4 so the Function is 1.25

Answer:

[tex]5^\frac{5}{6}[/tex]

Step-by-step explanation:

[tex]\sqrt{5}[/tex] can be represented as [tex]5^{\frac{1}{2}}[/tex] and [tex]\sqrt[3]5}[/tex] can be represented as [tex]5^{\frac{1}{3}}[/tex]. Therefore, the expression can be rewritten as:

[tex]5^{\frac{1}{2}}*5^{\frac{1}{3}}[/tex]

The rule for multiplying two exponents with the same base is you add the exponents. For example: [tex]x^m*x^k=x^{m+k}[/tex]

We can use the same property to get:

[tex]5^{\frac{1}{2} +\frac{1}{3}}[/tex]

which is just [tex]5^\frac{5}{6}[/tex] after you add the fractions

Answer:

50%.

Step-by-step explanation:

Gain as a fraction is (27-18) /18

= 9/18

= 1/2.

Percent gain = 1/2 * 100 = 50%.

Answer: 2 to the 8th power

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

4 times 4

8 times 8

Subtract the 2 #'s

Then divide your answer by 2.

Step-by-step explanation:

use Pythagoras theorem

hypotenuse² = base² + height²

8²=base²+4²

64-16=B²

√48=B

√2×3×2×2×2=B

2×2√3

4√3 = B

hope it helps

The equation of red graph is [tex]F(x) = 2 -x^{2}[/tex].

The general equation of parabola is [tex]y = a(x-h)^{2} + k[/tex].

Where,

(h, k) are the vertices of the parabola.

According to the given question.

We have two graph.

The blue and red graph both represents the equation of downward parabola.

Since, blue graph represents the equation of downward parabola.

Whose equation is given

[tex]G(x) = 5 - x^{2}..(i)[/tex]

The general equation of a parabola is [tex]y = a(x-h)^{2} + k..(ii)[/tex]

Where, (h, k) are the vertices of the parabola.

Compare the equation (i) with (ii)

We get

(h, k) = (0, 5) and a = -1.

Now, the red graph which also represents the downward parabola whose vertices are (0, 2)

Therefore, the equation red graph is given by

[tex]F(x) = a(x-0)^{2} + 2[/tex]

⇒ [tex]F(x) = -1(x-0)^{2} + 2[/tex]

⇒ [tex]F(x) = 2 - x^{2}[/tex]

Hence, the equation of red graph is [tex]F(x) = 2 -x^{2}[/tex].

Find out more information about equation of parabola here:

https://brainly.com/question/4074088

#SPJ3

Answer:

A. 5/13

Step-by-step explanation:

Cos = Adjacent/Hypotenuse

Adjacent of B = 5

Hypotenuse = 13

Hence CosB = 5/13

Answer:

[tex]5)8 \sqrt[6]{?} [/tex]

allá paosgesusussj siisveveu días dbd dusv

Answer:

DBH

Step-by-step explanation:

#1

Initial Price = 100% = 18

Discount = 15% = x

0.15 ( 18 ) = 0.15 * 18 = 2.7

Discount = $2.7 or $2.70

Letter = D

#2

Initial Price = 100% = 450

Markup = 20% = x

0.20 ( 450 ) = 1/5 of 450 = 90

Markup = $90

Letter = B

#3

Initial Payment = 100% = 37.60

Tip = 15% = x

0.15 ( 37.60 ) = 0.15 * 37.60 = 5.64

Tip = $5.64

Letter = H

Your Code = DBH

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

0.48480962

Step-by-step explanation:

1. Take the sine of  29 ° .

sin ( 29 ° )

2. Evaluate  sin ( 29 ° ) .

0.48480962

Answer:

x = 2

Step-by-step explanation:

First, subtract 4x from both sides:

4x + 1 = 7x - 5

1 = 3x - 5

Add 5 to both sides:

6 = 3x

Divide each side by 2:

2 = x

So, the answer is x = 2

Answer:

2 =x

Step-by-step explanation:

4x + 1 = 7x - 5

Subtract 4x from each side

4x-4x + 1 = 7x-4x - 5

1 = 3x-5

Add 5 to each side

1+5 = 3x-5+5

6 = 3x

Divide each side by 3

6/3 = 3x/3

2 =x

Answer:

It looks like 35 miles per hour

Step-by-step explanation:

if you look at the vertical line between 0 and 2 (which is the one hour mark) on the horizontal axis of the graph you can see the line of the graph crossed under the 40 mi. Therefore the train traveled about 35 miles in one hour (or 35 mph) because there are no other answers under 40.

Answer:

[tex]A(w) = 40w - w^2[/tex]

Step-by-step explanation:

Given

[tex]P = 80[/tex] --- perimeter

Required

Define the area in terms of width

The perimeter of the pool is:

[tex]P =2(l + w)[/tex]

Where:

[tex]l\to length[/tex]

[tex]w\to width[/tex]

So:

[tex]80 =2(l + w)[/tex]

Divide by 2

[tex]40 =l + w[/tex]

Make l the subject

[tex]l = 40-w[/tex]

The area is then calculated as;

[tex]A(w) = l * w[/tex]

Substitute: [tex]l = 40-w[/tex]

[tex]A(w) = (40 - w) * w[/tex]

[tex]A(w) = 40w - w^2[/tex]

Answer:

No please! Mr excuse me I am not your type bye

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: ( \: x - 2 \: )( \: x + 3 \: )}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] {x}^{2} + x - 6[/tex]

➼[tex] \: {x}^{2} + 3x - 2x - 6[/tex]

Taking [tex]x[/tex] as common from first two terms and 2 from last two terms, we have

➼[tex] \: x \: ( \: x + 3 \: ) - 2 \: ( \: x + 3 \: )[/tex]

Taking the factor [tex](x+3)[/tex] as common,

➼[tex] \: ( \: x - 2 \: )( \: x + 3 \: )[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Answer:

One solution;

[tex]x=-1\frac{2}{7}[/tex]

[tex]y=-5\frac{3}{7}[/tex]

Step-by-step explanation:

The method of elimination is a way of solving a system of equations. There are many steps involved in this process. First, one must manipulate one of the equations in the system by multiplying each term in it by a certain number such that one of the variables is the inverse of the other like the variable in the other equation. Then one must add the two equations. This will eliminate one of the variables in the equations. After doing so, one has to use inverse operations to solve for the other variable. Finally, one will back solve, substitute the value of the solved variable into one of the equations and solve for the remaining unknown variable.

[tex]\left \{ {{y=5x+1} \atop {y=-2x-8}} \right.[/tex]

Manipulate the system;

[tex]\left \{ {{y=5x+1*(-1)} \atop {y=-2x-8}} \right.[/tex]

Simplify,

[tex]\left \{ {{-y=-5x-1} \atop {y=-2x-8}} \right.[/tex]

Add the equations,

[tex]\left \{ {{-y=-5x-1} \atop {y=-2x-8}} \right.[/tex]

[tex]0=-7x-9[/tex]

Inverse operations,

[tex]0=-7x-9[/tex]

[tex]7x=-9[/tex]

[tex]x=-\frac{9}{7}[/tex]

[tex]x=-1\frac{2}{7}[/tex]

Backsolve,

[tex]y=-2x-8[/tex]

Substitute

[tex]y=-2(-\frac{9}{7})-8[/tex]

Simplify,

[tex]y=-2(-\frac{9}{7})-8[/tex]

[tex]y=\frac{18}{7}-8[/tex]

[tex]y=\frac{18}{7}-8\\y=-\frac{38}{7}[/tex]

[tex]y=-5\frac{3}{7}[/tex]

Answer:

£1,960

Step-by-step explanation:

Find the area of the room using the formula, A = lw

Plug in the length and width, and solve:

A = lw

A = 14(8)

A = 112

So, the area of the room is 112 square meters. Find the cost of carpeting the room by multiplying this by the price, £17.50

112(17.5)

= 1960

So, the price will be £1,960

Answer:

[tex]<-5, 20>[/tex]

Step-by-step explanation:

What we're given:

The vector [tex]3v-4w[/tex] is then [tex]3(-3i)-4(-i+5j)=-9i+4i-20j=-5i+20j\implies \boxed{<-5, 20>}[/tex]

Answer:

69.825

Step-by-step explanation:

Well... kinda need those graphs to be shown.

Answer:

A and C

Step-by-step explanation:

Answers:

The total profit expression is a binomial.

The total profit expression is a polynomial.

The total profit expression has a constant term.

The total profit expression is a polynomial

The total profit expression is a binomial

The total profit expression has a constant term

The first step to determining which type of function it is, is to add the profits in both theatres together

(t³ - t² + 2t - 100) + (t² - 2t - 300) = t³ - 400

A polynomial function is a mathematical expression that is made up of different types of variables. They include non-zero coefficients, positive exponents, and constants.

Types of polynomials include :

1. Linear polynomial function : a linear function is a function that has a single variable raised to the power of 1.

An example is x + 2

The variable x is raised to the power of 1. 2 is the constant terms

2.  Quadratic polynomial function - A quadratic function is a function that usually has a single variable and it is raised to the power of 2.

An example is 2x² + 10x + 25

3. Cubic polynomial function : this is a function that usually has a single variable raised to the power of 3.

An example is 5y³ + y²

4. Binominal function: this  is a function that contains only two terms.

An example is   t³ - 400

t³ - 400

The above equation of the total profit has a constant term which is -400

The above equation is a polynomial. This is because it has different types of variables.

The above equation is a binomial equation because it has only two terms  t³ and 400

In order to determine the type of expression the total profit is, the first step is to add the two profit expressions provided in the question. Based on the expression derived, the type of expression it is can then be deduced.

To learn more about polynomials, please check: https://brainly.com/question/17822016?referrer=searchResults

Answer:

Step-by-step explanation:

Convert fractions to decimals. Then compare the whole part of the decimal numbers. The decimal having the  highest whole part is the greatest number.

If whole part of the decimals are same, compare the tenth place ....

[tex]68 \frac{1}{2}= \frac{137}{2}=68.5[/tex]

[tex]\frac{336}{5}=67.2[/tex]

67.59

67.22

Greatest to least:  68.5  , 67.59  , 67.22 , 67.2

                            68 1/2  , 67.59 , 67.22 ,  336/5

Answer:

The first one is B. 11.75

The second one is A. 4

Step-by-step explanation:

In order to find how many liters (L) of paint he used you need to do 2.5*5.5=13.75 Then to find out how much he has left you do 25-13.75=11.75 So your answer is 11.75.

The second one you have to do the reverse. So since it says 4*_=48, you do 48÷4=_=12. Then since it says 12*1/3=_ You can do 12÷3=_=4 So your answer is 4.

Answer:

-1 is the only number there that is an integer as all the rest of them are mixed fractions.

Answer:

- 1

Step-by-step explanation: