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madreJ [45]
3 years ago
13

Tonya compared prices of two auto-rental agencies for the use of a mid- size car for one week. Affordable Auto charges 20 cents

per mile plus a flat fee of $382. Budget Auto charges 25 cents per mile plus a flat fee of $356. Which equation should Tonya use to determine the distance in miles, x, that would make the total charges of both auto-rental agencies equal?​
Mathematics
1 answer:
8_murik_8 [283]3 years ago
6 0

Answer:

Step-by-step explanation:

first one

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Determine whether the graph of the equation is symmetric with respect to the y-axis, the x-axis, the origin, more than one of th
Murrr4er [49]
\bf x^2y^2+3xy=1\\\\
-------------------------------\\\\
\stackrel{\stackrel{\textit{test for x-symmetry}}{y=-y}}{x^2(-y)^2+3x(-y)=1}\implies x^2y^2-3xy=1\impliedby 
\begin{array}{llll}
\textit{function differs}\\
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\textit{no dice}
\end{array}\\\\
-------------------------------\\\\

\bf \stackrel{\stackrel{\textit{test for y-symmetry}}{x=-x}}{(-x)^2y^2+3(-x)y=1}\implies x^2y^2-3xy=1\impliedby 
\begin{array}{llll}
\textit{function differs}\\
\textit{from original}\\
\textit{no dice}
\end{array}\\\\
-------------------------------\\\\
\stackrel{\stackrel{\textit{test for origin-symmetry}}{x=-x~~y=-y}}{(-x)^2(-y)^2+3(-x)(-y)=1}\implies x^2y^2+3xy=1\impliedby 
\begin{array}{llll}
origin\\symmetry
\end{array}

so, recall, the function has symmetry when the yielded resulting function resembles the original function, after negativizing the variable(s).

Also recall that minus*plus is minus, and minus*minus is plus.
7 0
4 years ago
Evaluate 25% of 200 mentally
vovikov84 [41]

Answer:

50

Step-by-step explanation:

25% = 0.25

200 * 0.25 = 50

Best of Luck!

8 0
3 years ago
A rectangle is twice as long as it is wide. If its length and width are both
puteri [66]

Answer:

a rectangle is twice as long as it is wide . if both its dimensions are increased 4 m , its area is increaed by 88 m squared make a sketch and find its original dimensions of the original rectangle

Step-by-step explanation:

Let l = the original length of the original rectangle

Let w = the original width of the original rectangle

From the description of the problem, we can construct the following two equations

l=2*w (Equation #1)

(l+4)*(w+4)=l*w+88 (Equation #2)

Substitute equation #1 into equation #2

(2w+4)*(w+4)=(2w*w)+88

2w^2+4w+8w+16=2w^2+88

collect like terms on the same side of the equation

2w^2+2w^2 +12w+16-88=0

4w^2+12w-72=0

Since 4 is afactor of each term, divide both sides of the equation by 4

w^2+3w-18=0

The quadratic equation can be factored into (w+6)*(w-3)=0

Therefore w=-6 or w=3

w=-6 can be rejected because the length of a rectangle can't be negative so

w=3 and from equation #1 l=2*w=2*3=6

I hope that this helps. The difficult part of the problem probably was to construct equation #1 and to factor the equation after performing all of the arithmetic operations.

5 0
3 years ago
if one angle in a pair of vertical angles measures 36degrees and the other measures (2n-8)degrees, which is the value of n ? ple
KiRa [710]

Answer:

n = 22

Step-by-step explanation:

Since they are vertical angles they are the same.

Therefore you can put together this equation:

2n - 8 = 36

Add 8 to both sides

2n = 44

Divide by 2

n = 22

8 0
4 years ago
Evaluate the expression: 3a+4<br><br> a = 1.5<br><br> a = 1/3<br><br> a = 2
Nana76 [90]

Answer:

mathpapa.com

the place i got this from tbh i don't understand what you want for an answer but i tried, so here is a website that i got these from i hope it helps you.

Step-by-step explanation:

Evaluate for a= 1/3

3(1/3)+4(1/3) = 7/3

Evaluate for a= 1.5

(3)(1.5)+(4)(1.5)

=10.5

Evaluate for a=

(3)(2)+(4)(2)

=14

7 0
2 years ago
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