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vodomira [7]
2 years ago
14

A rental car company charges $30 a day plus $0.05 a mile. Which expression could be used to find the cost of renting a car for m

miles?
Mathematics
1 answer:
Elden [556K]2 years ago
3 0
The answer is 395…..
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Answer my questions plz help
coldgirl [10]

9514 1404 393

Answer:

  • a = -2/3, b = 8, c = -24
  • y-intercept: (0, -24)
  • x = -b/(2a) = -8/(2(-2/3)) = 8(4/3)
  • x = 6
  • DOWN
  • Max: (6, 0)
  • Vertex: (6, 0)
  • Domain: {x | x ∈ ℝ}
  • Range: {x | x ≤ 0}

Step-by-step explanation:

To find a, b, c, compare the given function to ...

  f(x) = ax² +bx +c

You will see that ...

  • a = -2/3
  • b = 8
  • c = -24

The y-intercept is the function value for x=0. It is the constant term:

  y-intercept = f(0) = -24

Use the above values of a, b to find the line of symmetry.

  x = \dfrac{-b}{2a}=\dfrac{-8}{2\cdot\dfrac{-2}{3}}=8\cdot\dfrac{3}{4}=6

Per the calculation, the line of symmetry is ...

  x = 6

The negative leading coefficient tells you the parabola opens DOWN.

Because it opens down, the vertex at (6, 0) is a Maximum.

As with any polynomial, the domain is "all real numbers", hence any x that is an element of Reals.

The range is all values below the vertex (including the vertex), so is ...

  x ≤ 0

3 0
2 years ago
The sum of three consecutive integers is 36. Find the largest integer.
cestrela7 [59]

Answer:

13

Step-by-step explanation:

(n-2) +(n-1) +n =3n-3=36

n=(36+3)/3=13

Consecutive integers are 11,12 and 13

5 0
3 years ago
Read 2 more answers
Let f(x) = x2 + x + 2 and g(x) = 2x2 + 5. Find f(g(x)). Show each step of your work.
Tju [1.3M]
G(x)=9
f(g(x))= 9(2)+9+2=29
5 0
2 years ago
Find the result when 7x + 12 is subtracted from 11x – 10.<br> -<br> We have to use distributing
Sveta_85 [38]

Answer:

-4x+2

Step-by-step explanation:

STEP 1: Subtract 11x from 7x.

STEP 2: Subtract 10 from 12.

8 0
2 years ago
Read 2 more answers
Graph each absolute value function. State the domain, range, and y-intercept.
Inessa05 [86]
Answer:

i. D:All real numbers

ii.R:y\le-2

iii. Y-int: b=-2.5

Step-by-step explanation:

The given function is

y=-\frac{1}{2} |x-1|-2

The domain of this function are the values of x that makes the function defined.

The absolute value function is defined for all real values.

The domain is all real numbers.

ii. The range refers to the values of y for which x is defined.

y=-\frac{1}{2} |x-1|-2

The vertex of this function is

(1,-2)

The function is reflected in the x-axis.

The vertex is therefore the maximum point on the graph of the function.

The range is therefore;

y\le-2

Or

(-\infty,2]

iii. To find the y-intercept, we substitute x=0 into the funtion.

y=-\frac{1}{2} |0-1|-2

y=-\frac{1}{2} (1)-2

y=-2.5

The y-intercept is b=-2.5

The graph is shown in the attachment.

3 0
3 years ago
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