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2 years ago

Find all x-intercepts of the function. Express your answer as a list of x-values. f(x)=x^5−3x^3

Mathematics

1 answer:

Marysya12 [62]2 years ago

3 0

Answer:

Step-by-step explanation:

To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y.

To find the x-intercept, set y = 0 \displaystyle y=0 y=0.

To find the y-intercept, set x = 0 \displaystyle x=0 x=0.

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98 POINTS ONE GEOMETRY QUESTION PLEASE ANSWER!!!!!!!!!!!!!!!!!!!!!!!!

Maru [420]

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3 years ago

A baseball is hit and its height is given by h = 29.4t – 4. 9t^2, where h is the

ioda

Answer:

44.1m

Step-by-step explanation:

we are given a quadratic function which represents the height and time of a baseball

$\displaystyle h = 29.4t - 4.9 {t}^{2}$

we want to figure out maximum height of

the baseball

since the given function is a quadratic function so we have a parabola

which means figuring out the maximum height is the same thing as figuring out the maximum y coordinate (vertex)

to do so we can use some special formulas

recall that,

$\displaystyle \rm t= \frac{ - b}{ 2a}$

$\displaystyle H_{\text{max}}=f(t)$

notice that, our given function is not in standard form i.e

$\displaystyle f(x) = a {x}^{2} + bx + c$

let's make it so

$\displaystyle h = - 4.9 {t}^{2} + 29.4t$

therefore we got

our a is -4.9 and b is 29.4

so substitute:

$\displaystyle\rm t= \frac{ -( 29.4)}{ 2 \cdot - 4.9}$

remove parentheses and change its sign:

$\displaystyle\rm t= \frac{ -29.4}{ 2 \cdot - 4.9}$

simplify multiplication:

$\displaystyle\rm t= \frac{ -29.4}{ - 9.8}$

simplify division:

$\displaystyle \: t = 3$

so we have figured out the time when the baseball will reach the maximum height

now we have to figure out the height

to do so

substitute the got value of time to our given function

$\displaystyle H_{\text{max}}=29.4\cdot 3-4.9\cdot {3}^2$

simplify square:

$\displaystyle H_{\text{max}}=29.4\cdot 3-4.9\cdot 9$

simplify mutilation:

$\displaystyle H_{\text{max}}=88.2-44.1$

simplify substraction:

$\displaystyle H_{\text{max}}=44.1$

hence,

the maximum height of the baseball is 44.1 metres

4 0

2 years ago

Read 2 more answers

Bob finishes his supper at 6:30 P.M. Then he studies for 55 minutes and spends 35 minutes playing video games before he watches

Kitty [74]

He watches TV at around 8:00 P.M., though it could be any other time around the world.

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2 years ago

Toby is forming and solving equations.

iogann1982 [59]

Answer:

$\frac{1}{2}y * (y + 3) = y^{2}$

3 0

2 years ago

Will mark brainllest

telo118 [61]

a) The halfway number is $\frac{-4.5}{10}$ .

b) The ascending order is $\frac{-1}{2}$ , $\frac{-4.5}{10}$ and $\frac{-2}{5}$ .

Step-by-step explanation:

a)Halfway number is otherwise Middle number.

The halfway number of two numbers = $\frac{sum of two numbers}{2}$ .

The halfway for $\frac{-2}{5}$ and $\frac{-2}{5}$ = $\frac{\frac{-2}{5}+ (\frac{-1}{2})}{2}$ .

= $\frac{-2}{5}+ (\frac{-1}{2})$ .

= $\frac{-4-5}{10}$ .

= $\frac{-9}{10}$ .

∴Halfway = $\frac{\frac{-9}{10} }{2}$ .

= $\frac{-4.5}{10}$

The halfway for $\frac{-2}{5}$ and $\frac{-1}{2}$ = $\frac{-4.5}{10}$ .

b) The ascending order is $\frac{-1}{2}$ , $\frac{-4.5}{10}$ and $\frac{-2}{5}$ .

7 0

2 years ago