1. Find the value of x.<br> (A) 240°<br> (B) 100°<br> (C) 50°<br> (D) 120 °

F(x) = 9 − x2, x < 3 x − 3, x ≥ 3

liberstina [14]

The table of the function is;

x f(x)

1 8

2 5

3 0

4 1

5 2

<h3>What are the output values of the x-variables?</h3>

Given the piecewise functions;

9 - x², x < 3

f(x) = {

x - 3, x ≥ 3

For x = 1, since 1 is less than 3, we use the piece of the function under x<3

f(x) = 9 - x²

f(1) = 9 - (1)²

f(1) = 9 - 1

f(1) = 8

Hence, we have a point ( 1,8 )

For x = 2, since 2 is less than 3, we use the piece of the function under x<3

f(x) = 9 - x²

f(2) = 9 - (2)²

f(2) = 9 - 4

f(2) = 5

Hence, we have a point ( 2,5 )

For x = 3, since 3 is greater than or equal to 3, we use the piece of the function under x≥3

f(x) = x - 3

f(3) = (3) - 3

f(3) = 3 - 3

f(3) = 0

Hence, we have a point ( 3,0 )

For x = 4, since 4 is greater than 3, we use the piece of the function under x≥3

f(x) = x - 3

f(4) = (4) - 3

f(4) = 4 - 3

f(4) = 1

Hence, we have a point ( 4,1 )

For x = 5, since 5 is greater than 3, we use the piece of the function under x≥3

f(x) = x - 3

f(5) = (5) - 3

f(5) = 5 - 3

f(5) = 2

Hence, we have a point ( 3,2 )

Therefore, the table of the function is;

x f(x)

1 8

2 5

3 0

4 1

5 2

Learn more about piecewise functions here: brainly.com/question/12561612

#SPJ1

4 0

2 years ago

Ella completed the division problem below.

77julia77 [94]

Answer:

option B

Elia multiply the dividend by 100 instead of 10.

Step-by-step explanation:

Given that,

divisor = 0.6

dividend = 1.848

Elia decided to multiply each by 10 to get

<h3>divisor = 0.6 x 10 = 6</h3><h3 /><h3>dividend = 1.848 x 10 = 18.48</h3>

but unfortunately she multiply the dividend by 100

As,

1.848 x 100 = 184.8

So,

Elia's error was that she multiply the dividend by 100 instead of 10.

6 0

3 years ago

The time t required to drive certain distance varies inversely with the speed r. It takes 2 hours to drive the distance at 40 mi

Roman55 [17]

Answer:

$\frac{16}{9}$ hours

Step-by-step explanation:

Whenever 2 quantities (suppose a and b) are inversely proportional to each other, we can write an proportionality equation (with k as proportional constant) as:

$a=\frac{k}{b}$

Since, here t is INVERSELY PROPORTIONAL to r, we can say:

$t=\frac{k}{r}$

Firstly, we have t = 2 hour and r = 40 mph, so we find k:

$t=\frac{k}{r}\\2=\frac{k}{40}\\k=2*40\\k=80$

Now, secondly, we have r = 45 and k = 80, we need to find t:

$t=\frac{80}{45}\\t=\frac{16}{9}$

So, it would take $\frac{16}{9}$ hours

4 0

3 years ago

Six ounces of a nutrition shake provides 2 grams of protein. Will 24 ounces of the drink provide 10 grams of protein? Explain

tia_tia [17]

Answer:

(Hope this helps can I pls have brainlist (crown)☺️)

Step-by-step explanation:

In pic

7 0

3 years ago

If x = y, then xz = yz represents the __________ property of equality. answers : multiplication addition division subtraction

devlian [24]

Answer:

I believe the answer is multiplication property of equality.

I hope I helped, please correct me if I'm wrong!

6 0

3 years ago

1. Find the value of x. (A) 240° (B) 100° (C) 50° (D) 120 °