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Free_Kalibri [48]

3 years ago

15

On average, Anna can drive 31 miles on every gallon of gasoline. If she fills up her tank for $2.19 per gallon, how much will it

cost her to drive 434 miles?
PLASE HELPP

1 answer:

Fantom [35]3 years ago

5 0

Answer:

30.66

Step-by-step explanation:

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Identify the initial amount a and the decay factor b in the exponential function. y equals 5 times 0.5 superscript x

Ber [7]

$\bf \qquad \textit{Amount for Exponential Decay}
\\\\
A=a(b)^x\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
a=\textit{initial amount}\\
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x=\textit{elapsed time}\\
\end{cases}
\\\\\\
y=\stackrel{a}{5}(\stackrel{b}{0.5})^x$

7 0

3 years ago

The cubic polynomial below has a double root at r4 and one root at x = 6 and passes Through the point (2, 36) as shown. Algebrai

qaws [65]

The graph in the question is missing.

Answer:

y = $\frac{-1}{4}( x^3 + 2x^2 - 32x -96)$

Step-by-step explanation:

The function is cubic

It has roots as -4, -4 , 6

this means the value of x = -4, -4 , 6 which makes the entire equation zero

so we have solutions as

x+4 = 0

x+4 = 0

x- 6 = 0

on forming a cubic equation using these

(x+4)(x+4)(x-6)

the equation passes through (2,36)

put x = 2

(2+4)(2+4)(2-6) = (6)*(6)*(-4)

which exceeds 36 so we product the equation with -1/4 to get 36

Final equation

y = $\frac{-1}{4} (x+4)(x+4)(x-6)$

y = $\frac{-1}{4}( x^3 + 2x^2 - 32x -96)$

3 0

2 years ago

How many solutions does this system of linear<br> equations have? Explain.<br> xay<br> y = x+ 3

Charra [1.4K]

It is an infinite number of solutions. To put it simply, is x = 1, y would equal 4.you can do this with every single number.

8 0

3 years ago

Hi my sister is at school so I'm on her account

svlad2 [7]

Yo answer to yo question is d

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3 years ago

Which graph shows a system of equations with no solutions?

podryga [215]

Graph of Parallel lines shows a system of equations with no solutions

Step-by-step explanation:

Consider a set of equations

$7x - 2y = 16\\21x + 6y =24$

If we solve this both equations using any one of the solving method, (Substitution method) then we will get

$7x-2y=16\\7x=16+2y\\x=\frac{16+2y}{7}$

substituting the following x in 2nd equation (21x + 6y = 24) We get

$21(\frac{16+2y}{7} )+6y=24\\3(16+2y)+6y=24\\48+6y+6y=24\\12y=24-48\\y=-\frac{24}{12} \\y=-2$

Put y= -2 in x equation

$x=\frac{16+2(-2)}{7}\\ x=\frac{16-4}{7}\\\x=\frac{12}{7} \\x=1.71$

Comparing these (x,y) values we can understand that they never meet at a point

4 0

3 years ago