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3 years ago

Which functions have graphs that are steeper than the graph of f(x)=−3x^2?

Mathematics

1 answer:

netineya [11]3 years ago

8 0

Answer:

g(x)=−4x^2 and m(x)=4x^2

Step-by-step explanation:

A horizontal stretch or shrink happens when you multiply the parent function (in this case f(x) = x²) by a number. If this number is between 0 and 1, the graph will be stretched horizontally. If this number is greater than 1, the graph will be shrunk horizontally. If the number is between -1 and 0, the graph will be stretched horizontally and flipped; if the number is less than -1, the graph will be shrunk horizontally and flipped.

The graphs that are horizontally shrunk are steeper than the others. This is m(x)=4x^2 and g(x) = -4x^2.

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A rocket is launched from the ground and travels in a straight path. The angle of inclination of the rocket's path is 1.2 radian

gladu [14]

Answer:

a) $S=2.57$

b) $H=203.2yard$

c) $X=121.79yards$

Step-by-step explanation:

From the question we are told that:

Angle $\theta=1.2=68.755^o$

Generally the equation for Slope is mathematically given by

$S=tan \theta$

$S=tan 68.755$

$S=2.57$

Given the right Angle triangle with horizontal distance $x=85yard$

Generally the equation for Height traveled is mathematically given by

$H=tan\theta*x$

$H=2.57*85$

$H=218.45$

$H=203.2yard$

Generally the equation for Horizontal Distance traveled at 313 height traveled is mathematically given by

$X=\frac{313}{tan65.75}$

$X=\frac{313}{2.57}$

$X=121.79yards$

3 0

2 years ago

Which of the following measurements could be the side lengths of a right triangle?

notsponge [240]

The answer should be C but I’m not for sure ask your teacher sorry!!

6 0

3 years ago

Read 2 more answers

The Wall Street Journal reported that automobile crashes cost the United States $162 billion annually (2008 data). The average c

ivanzaharov [21]

Answer:

$n=(\frac{2.326(500)}{120})^2 =93.928 \approx 94$

So the answer for this case would be n=94 rounded up to the nearest integer

Step-by-step explanation:

Information given

$\bar X$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma= 500$ represent the population standard deviation

n represent the sample size

Solution to the problem

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{s}{\sqrt{n}}$ (a)

And on this case we have that ME =120 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

The confidence2 level is 98% or 0.98 then the significance level would be $\alpha=1-0.98=0.02$ and $\alpha/2=0.01$ , the critical value for this case would be $z_{\alpha/2}=2.326$ , replacing into formula (b) we got: