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andrezito [222]
3 years ago
15

Jake washes cars. On monday he washed 18 cars for $90. On tuesday he washed 9 cars for $45. On wednesday he washed 12 cars for $

60. What is the rate of change of Jakes earnings?
Mathematics
2 answers:
Sergeeva-Olga [200]3 years ago
6 0

See attachment for reply.

chubhunter [2.5K]3 years ago
3 0

Answer:

the rate  of change is 5

Step-by-step explanation:

$90 / 18 cars = $5 per car

$45 / 9 cars = $5 per car

$60 / 12 cars = $5 per car

That means the rate of change is 5 (5/1)

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6 · (10 + 2) + (10 − 2) = 80
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3 years ago
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Does the function g(x) = -2x2 + 10x + 2 have a minimum or a maximum? Identify its value.<br> +
Hitman42 [59]

Answer:

(5/2, 29/2), and this represents a maximum

Step-by-step explanation:

g(x) = -2x^2 + 10x + 2 is a quadratic function with coefficients {-2, 10, 2}.

The formula for the axis of symmetry (which passes through the vertex) is

x = -b/ [2a].  Here, a = -2; b = 10.  Therefore, the axis of symmetry is

x = -10/ [2(-2)] = -10/(-4) = 5/2

Evaluate the function g(x) = -2x^2 + 10x + 2 at x = 5/2 to determine the y-coordinate of the vertex:

g(5/2) = -2(5/2)^2 + 10(5/2) + 2, or

g(5/2) = -2(25/4) + 25 + 2, or

g(5/2) = -25/2 + 27, or

g(5/2) = 14.5

The vertex is thus (5/2, 29/2), and this represents a maximum, because the coefficient of the x^2 term is negative (the curve opens downward).

3 0
3 years ago
Please help!! (Number 73)
Rasek [7]
So hmm notice the picture below

one is 7x5x1.75 the volume of a rectangular prism is V = length * width * height

so 7*5*1.75 gives us 61.25 ft³

the second one, is larger by some width and length we dunno, but we know that it required that 61.25 plus an extra 17.5 to fill it up, so its volume is 61.25 + 17.5 or 78.75

the height is the same... so \bf V=l\cdot w\cdot h\qquad &#10;\begin{cases}&#10;l=length\\&#10;w=width\\&#10;h=height\\ --------\\&#10;h=1.75\\&#10;V=78.75&#10;\end{cases}\implies 78.75=lw\cdot 1.75&#10;\\\\\\&#10;\cfrac{78.75}{1.75}=lw\implies 45=lw

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3 0
3 years ago
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zavuch27 [327]

Answer:

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Step-by-step explanation:

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Since the domain of the square root function includes "all real numbers equal to or greater than 0," we set 7x^2 + 14x = to 0.  This factors to the original 7x*(x+2), set equal to 0.  The roots are 0 and -2.  

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Thus, the domain of this function is  (-∞, -2) ∪ (0, ∞).  In other words, the product shown is defined on  (-∞, -2) ∪ (0, ∞).

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musickatia [10]

Answer: 1,000,000,000,000,000,000,000,

Step-by-step explanation:

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