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2 years ago

Find the maximum value of the function f(x) = -1.9x^2 + 24x – 71.3 to the nearest hundredth.

1 answer:

4 0

Being that the system is quadratic—with parabola opening downwards—you’re going to need to find the vertex. You can find the x coordinate of the vertex with -b/2a . Then plug in for x to find the y coordinate…

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What is the lateral area of the rectangular prism? Assume the prism is resting on its base. A. 135 in2 B. 270 in2 C. 300 in2 D.

Olegator [25]

You have the length of the sides? If not: a and b is the length of the scratch, h is the height <span>This lateral surface area = 2ah+2bh=2h(a+b)</span>

8 0

3 years ago

Find the inverse of f(x)=1/(x^3)

Pepsi [2]

Answer:

Step-by-step explanation:

y $f(x)^{-1} = inverse\\f(x)=y \\y = 1/(x^{3} \\Inverse: y=x ------------> x = 1/y^{3}\\y^{3} - \frac{1}{x} = 0\\y^{3} = \frac{1}{x}\\y = \sqrt[3]{\frac{1}{x}} \\y = \frac{\sqrt[3]{1} }{\sqrt[3]{x}} \\y = \frac{1}{\sqrt[3]{x}}$

4 0

3 years ago

The U.S. Census Bureau announced that the median sales price in 2014 for new homes was $282,800 and the mean sales price was $34

victus00 [196]

Answer:

a) 0.9964

b) 0.3040

Step-by-step explanation:

Given data:

standard deviation = $90,000

Mean sales price =$345,800

sample mean = $370,000

Total number of sample = 100

calculate z score for [/tex](\bar x = 370000)[/tex]

$z = \frac{\bar x - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{370000 - 345800}{\frac{90000}{\sqrt{100}}}$

z = 2.689

P(x<370000) = P(Z<2.689)

FROM STANDARD NORMAL DISTRIBUTION TABLE FOR Z P(Z<2.689) = 0.9964

calculate z score for (\bar x = 350000)

$z = \frac{\bar x - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{350000 - 345800}{\frac{90000}{\sqrt{100}}}$

z = 2.133

$P(350000 \leq \bar x \leq 365000) = P(0.467 \leq Z\leq 2.133) = P(Z\leq 2.133) - P(Z\leq 0.467)$

FROM NORMAL DISTRIBUTION TABLE Z VALUE FOR

$P(Z\leq 2.133) = 0.9836$

$P(Z\leq 0.467) = 0.6796$

SO, = 0.9836 - 0.6796 = 0.3040

4 0

3 years ago

Suppose that F(x) = x2 and G(X) = 2/3 x^2. Which statement best compares the graph of G(x) with the graph of F(x)?

masha68 [24]

<h2>Answer:The graph of $G(x)$ is the graph of $F(x)$ compressed vertically.</h2>

Step-by-step explanation:

Given that $F(x)=x^{2}$ and $G(x)=\frac{2}{3}x^{2}$

$F(x)$ is always positive because $x^{2}$ is always positive.

$G(x)$ is always positive because $\frac{2}{3}x^{2}$ is always positive.

So,both are always positive.

So,there is no flipping over x-axis.

In $F(x)$ ,the height of a point at $x_{0}$ is $x_{0}^{2}$

In $G(x)$ ,the height of a point at $x_{0}$ is $\frac{2}{3}x_{0}^{2}$

So,height of any point has less height in $G(x)$ than $F(x)$

So,the graph of $G(x)$ is the graph of $F(x)$ compressed vertically.

3 0

2 years ago

Harlene tosses two number cubes. If a sum of 8 or 12 comes up, she gets 9 points. If not, she loses 2 points. What is the expect

Alisiya [41]

<span>It's easy enough. Solving looks like that: p(roll of 8)+p(roll of 12) =</span> $\frac{5}{36} + \frac{1}{36} = \frac{1}{6} ; \frac{1}{6} *9 +\frac{5}{6}*2 = \frac{3}{2} - \frac{5}{3} = -\frac{1}{6}$ Hope everything is clear.

5 0

3 years ago

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