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3 years ago

Draw a number line that represents 7+(-4).

Mathematics

1 answer:

tekilochka [14]3 years ago

3 0

You start from negative 7 in number line and you go left 4

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Graph the following piecewise function on a separate piece of graph paper and upload your graph below.

Alecsey [184]

ANSWER

To graph the function

$f(x)=\left \{ {{x+4\:\:if\:\:-4\leq x$

follow the steps below.

1. Find y- intercept by plugging in $x=0$ .

$x=0$ is on the interval, $-4\leq x$ , so we substitute in to

$f(x)=x+4$

$\Rightarrow f(0)=0+4$

$\Rightarrow f(0)=4$

Hence the y-intercept is $(0,4)$

2. Find x-intercept by setting $f(x)=0$

This implies that

$x+4=0,$ on $-4\leq x$

or

$2x-1=0$ on $3\leq x$

We now solve for $x$ on each interval,

$x=-4,$ on $-4\leq x$

or

$x=\frac{1}{2}$ on $3\leq x$

But observe that

$x=\frac{1}{2}$ does not belong to $3\leq x$

This means it can never be an intercept for this piece-wise function.

Hence our x-intercept is $(-4,0)$

3. Plotting the boundaries of the interval.

For $f(x)=x+4$ on $-4\leq x$

$f(-4)=-4+4$

$\Rightarrow f(-4)=0$ .

This point $(-4,0)$ coincides with the x-intercept.

$f(3)=3+4$

$f(3)=7$

So we have the point $(3,7)$ . But note that $x=3$ does not belong to this interval so we plot this point as a hole.

For $f(x)=2x-1$ on $3\leq x$

$f(3)=2(3)-1$

$\Rightarrow f(3)=5$

So we plot $(3,5)$

$f(6)=2(6)-1$

$\Rightarrow f(6)=11$

So we plot $(6,11)$ also as a hole.

Plotting all these points we can now graph the function,

$f(x)=\left \{ {{x+4\:\:if\:\:-4\leq x$

See attachment for graph.

7 0

3 years ago

Read 2 more answers

A student is asked to solve the equation below and to justify her/his steps. Identify what, if anything, is incorrect in her/his

azamat

This should be the correct solution

x + 4 = -8
x + 4 + (-4) = -8 + (-4)
x + 0 = -12
x = -12

<span>C. The student added improperly and got the wrong answer in step 3.
</span>
The student failed to consider the negative signs of 8 and 4.

6 0

4 years ago

Name an angle adjacent to

kodGreya [7K]

where's the rest of the question to complete the answer

5 0

3 years ago

Which set of steps can be used to prove the sine sum identity, sin(x + y) = sin(x)cos(y) + cos(x)sin(y)? Use the complementary r

Vilka [71]

Answer:

[A] use the complementary relationship between sine and cosine to rewrite sin(x + y) as cos(pi/2-(x+y)). apply the cosine sum identity. then simplify using sin(–y) = –sin(y) and cos(–y) = cos(y).

Step-by-step explanation:

i got it right

screw that other person l0l

note that sin(-x)=-sin(x) and cos(-x)=cos(x)

so sin(-y)=-sin(y) and cos(-y)=cos(y)

or something like that idfk

7 0

3 years ago

If you guys want me to join y’all’s class in like zoom then tell me your class id and password.

sammy [17]

Answer:

You cant join mine. Mine has strict rules and c rap sign up with a email and stuff.

Step-by-step explanation:

6 0

3 years ago