Hiii please help i’ll give brainliest if you give a correct answer tysm!

10-2x -x for x<1 f(x) 3 + 4e^x-1 for x> 1 f(x) be the function defined above. Is f continuous at x=1? Why or why not? Find

8090 [49]

it can not be a function because functions only have ONE input to each output

5 0

3 years ago

For the piecewise function, find the values h( - 6), h(0), h(5), and h(9).- 5x – 13, for x < -3h(x) = { 5, for - 35x<5for

sleet_krkn [62]

Given the piecewise function h(x):

$h(x)=\begin{cases}-5x-13,x$

-When x is less than "-3", h(x)=-5x-13

-When x is between -3 and 5, h(x)=5

-When x is greater than or equal to 5, h(x)=x+1

1) For h(-6), this notation indicates that you have to determine the value of h(x) when x=-6

-6 is less than -3, which means that for this value of x, the function has the following shape

$h(x)=-5x-13$

Replace the expression with x=-6 and calculate the corresponding value of x:

$\begin{gathered} h(-6)=-5(-6)-13 \\ h(-6)=30-13 \\ h(-6)=17 \end{gathered}$

2) For h(0), you have to determine the value of h(x) when x=0. Zero is between -3 and 5, for this value of x, the function h(x) has the following shape:

$h(x)=5$

This equation represents a horizontal line, which means that for every value within the interval of definition -3≤x<5, the function always has the same value h(x)=5

We can conclude that:

$h(0)=5$

3) For h(5), you have to determine the value of h(x) for x=5, for values of x greater than or equal to 5, h(x) has the following shape:

$h(x)=x+1$

Replace the expression with x=5 and calculate the corresponding value of h(x):

$\begin{gathered} h(5)=5+1 \\ h(5)=6 \end{gathered}$

4) For h(9), you have to determine the value of h(x) when x=9, 9 is greater than 5, for this value of x, the function has the following shape:

$h(x)=x+1$

Replace the expression with x=9, and calculate the corresponding value of h(x):

$\begin{gathered} h(9)=9+1 \\ h(9)=10 \end{gathered}$

So, to sum up:

$undefined$

5 0

1 year ago

A hemispherical tank is filled with water and has a diameter of 19 feet. If water

pogonyaev

We know that the volume of a sphere is:

V

=

4

3

π

r

3

where

r

=

10

2

=

5

ft

is the radius;

we need half of this, so we use:

V

2

=

2

3

π

r

3

=

261.8

ft

3

giving a total weight of water of:

W

=

261.8

⋅

62.4

=

16

,

336

pounds

6 0

2 years ago

Read 2 more answers

PLS HELP! Which statement is true about the given function?

marishachu [46]

The statement which is true about the given graph is that f(x)<0 in the interval (-∞,3) which is option 3.

Given Graph of a function

We have to choose a statement which is correct about the function whose graph is given.

The graph of a function tells us about the domain and range of the function. The values on y axis are the codomain of the function and the values on x axis are the values of domain.

When we see the graph we can find that x=-∞ to x=3 the values are negative means when we put the values of x less than 0 we will get negative number. For example if we put the value of x=-1, we will get -20 which is a negative number.

Hence the third statement is true for the given graph which is that it has values less than zero in the interval (-∞,3).

Learn more about function at brainly.com/question/10439235

#SPJ10

4 0

2 years ago

two airliners are 1600 miles apart and heading towards eachother at different altitudes. the first plane is traveling north at 6

Margaret [11]

The time of how many min

3 0

3 years ago