Evaluate the piecewise function for the given values of x by
matching the domain values to the range values.

Evaluate The Piecewise Function For The Given Values Of X Bymatching The Domain Values To The Range Values.

Answers

Answer 1

Answer:

For x = -4

f (x) = x + 2

We evaluate the value of x = -4

f (-4) = (-4) + 2

f (-4) = -2

Answer is : f (-4) = -2

For x = 4

f (x) = -2x + 4

We evaluate the value of x = 4

f (4) = -2 (4) +4

f (4) = -8 + 4

f (4) = -4

Answer is : f (4) = -4

For x = 0

f (x) = 3x -4

We evaluate the value of x = 0

f (0) = 3 (0) -4

f (0) = 0-4

f (0) = -4

Answer is : f (0) = -4

Answer 2

The value of the function at x = 1 is, f(x) = - x - 4 which equals f(1) = - 3.

What is an absolute value function?

We know the absolute value function of the modulus function always outputs a positive value irrespective of the sign of the input.

In piecewise terms  | x | = x for x ≥ 0 and | x | = - x for x < 0.

Similarly, A piecewise function can also be in terms of without modulus.

Given, f(x) = - x - 4 for x < 3.

f(x) = x² - 7, for 3 ≤x < 12.

f(x) = (120/x) + 5, for x ≥ 12.

Now, At x = 1, It satisfies,

f(x) = - x - 4 for x < 3.

Therefore, f(1) = - (-1) - 4.

f(1) = - 3.

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Related Questions

James has a board that is 3/4 foot long he wants to cut the board into pieces that are each 1/8 foot long long division

Answers

Answer:

6 pieces can be cut out of the board

Step-by-step explanation:

The complete question is

James has a board that is 3/4 foot long. He wants to cut the board into pieces that are each 1/8 foot long. How many pieces can James cut from the board?

Solution

Given,

The total length of the board is equal to [tex]\frac{3}{4}[/tex] feet

Total number of pieces to made = X

Size of each piece that is cut from the board is [tex]\frac{1}{8}[/tex] feet long

Total number of pieces that can be cut from the board is equal to total size of board divided by size of each sub part

[tex]X = \frac{\frac{3}{4} }{\frac{1}{8} } \\X = \frac{3}{4} * \frac{8}{1} \\X = 3 * 2 \\X = 6[/tex]

Hence, 6 pieces can be cut out of the board

Find the measure of the central angle of the circle if the Area of the sector is 120 square cm. and the radius is 6 cm.

a . ) 135
b . ) 120
c . ) 105
d . ) 85

explanations would be super
appreciated too

Answers

Wjwjjwjwkwoqowkms,skwoowlwlwkskkskskxkx181929292920001103

Hi, can someone please help me find the answer? There should be more than one and I would really appreciate it!

Answers

Answer:

A B C and F

Step-by-step explanation:

When one is over an exponent that means the exponent is negative. so then you find two exponents that equal -6 :)

HELP ASAP!!! PLEASE!!! look at the screenshot (15 pts)

Answers

Answer:

should be A sorry if I'm wrong

pls helppp! tysmmmm!!

Answers

I believe it would be 29 because a supplementary angle is 2 angles that equal 180 so I would think to do 189-151=29

930-7.94*101+7.94
With Steps

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{930-7.94\times101+7.94}[/tex]

[tex]\mathsf{-7.94\times101 = \bf -801.94}[/tex]

[tex]\mathsf{= 930-801.94+7.94}[/tex]

[tex]\mathsf{930 - 801.94= \bf 128.06}[/tex]

[tex]\mathsf{= 128.06+7.94}[/tex]

[tex]\mathsf{= \bf 136}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge \bf 136}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Which equation has the same solution as
x2+4x-13=-7

Answers

Answer:

6x - 3 + 4x = 13

10x - 3 = 13

10x = 16

x = 1.6

Any equation whose solution is    x=1.6   has the same solution as this one has.

Step-by-step explanation:

I agree with the top answer because he explained it very well

PLEASE PLEASE PLEASE TELL ME HELP HELP

Answers

Answer:

78%

Step-by-step explanation:

Ok to solve this we can write this as

80 = [tex]\frac{73+82+85+83+x}{5}[/tex]

We put the equation like this because were finding out how much he needs to get on his 5th test x in order to get a 80%

Your grade is the average of all of your scores hence the divided by 5

We next multiply both sides of the equation by 5 to get

400 = 72+82+85+83+x

400=  322+ x

78 = x

He must get a 78% minimum on his next test to get 80%

Hope that helps!

Find an equation of variation in which y varies directly as x and y = 60 when x = 0.4. Then find the value of y when x = 2​

Answers

Answer:

y = 300

Step-by-step explanation:

The equation of variation in which y varies directly as x is written Mathematically as:

y ∝ x

y = k × x

y = kx

Where k = Proportionality Constant

We find k

a) y = 60 when x = 0.4.

60 = 0.4 × k

k = 60/0.4

k = 150

b) find the value of y when x = 2​

y = kx

k = 150

Hence,

y = 150 × 2

y = 300

11.
Given that sin θ= √3 / 2, we want to find the value of cos θ.
First, find the value of θ.

Answers

See attachment for reply and answer.

Which inequality correctly compares 1/2, 3/4, and 2/3

Answers

Answer:

3/4>2/3>1/2

Step-by-step explanation:

put into decimal form

1/2 = 0.5

2/3 = 0.66666666666

3/4 = 0.75

split 50 into the ratio 9:1 what is the answer​

Answers

Answer:

46

Step-by-step explanation:

The numbers 45 and 5, in the ratio of 9:1, when added together, sum up to 50.

To split the number 50 into a specific ratio, 9:1. This means we need to divide 50 into two parts, where one part is nine times larger than the other part.

To split 50 into the ratio 9:1, we need to divide the number 50 into two parts, let's call them "x" and "y." The ratio 9:1 tells us that one part is nine times larger than the other. So, we can express this relationship mathematically as:

x = 9y

Now, we know that the sum of the two parts, x and y, should add up to 50:

x + y = 50

Since we have an expression for "x" in terms of "y," we can substitute it into the second equation:

9y + y = 50

Now, let's combine the y terms:

10y = 50

Next, we isolate "y" by dividing both sides of the equation by 10:

y = 50 / 10

y = 5

Now that we've found the value of "y," we can use it to find "x" using the first equation:

x = 9 * 5

x = 45

So, the two parts are x = 45 and y = 5. We can verify that the ratio is indeed 9:1:

x / y = 45 / 5 = 9

And the sum of the two parts is:

45 + 5 = 50

The numbers 45 and 5, in the ratio of 9:1, when added together, sum up to 50.

In summary, to divide 50 into the ratio 9:1, we found that one part (x) is 45, and the other part (y) is 5. This satisfies the condition that one part is nine times larger than the other, and their sum is 50.

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Which of the following is the equation of a line that has a slope of -2 and passes through the
point (1,6)?
y=x+6
y=-2x+8
y=-2x+4
y=1/2x+4

Answers

Answer:

ehhehrjrh4h4hehejejru4u4u

Lines L and M are parallel find : m<2

Answers

Answer:

38 I believe let me know if I'm right

Step-by-step explanation:

...

Im pretty sure 38 is the answer

solve: log3(x)+log3(x-2)=log3(x+10)​

Answers

log3 ( x ) + log3 ( x - 2 ) = log3 ( x + 10 )

log3 ( x )( x - 2 ) = log3( x + 10 )

log3 ( x^2 - 2x ) = log3( x + 10 )

x^2 - 2x = x + 10

x^2 - 3x - 10 = 0

( x - 5 )( x + 2 ) = 0 ==》x = 5 Or x = - 2

12 + 6x > 18
HELPPppp

Answers

Answer:

I used math-way, solved for x and got this

x>1

Step-by-step explanation:

12 + 6x > 18
6x + 12 > 18
6x + 12− 12 > 18 − 12
6x > 6
6x/6 > 6
x>1

Need help with this question

2 + (4h- 1) = 13h

Need All Steps Plz

Answers

Answer and Step-by-step explanation:

For this equation, we are solving for h.

We are given the equation:

2 + 4h - 1 = 13h

First, we need to Simplify the equation.

2 - 1 + 4h = 13h

1 + 4h = 13h

Now, we need to Subtract 4h from both sides of the equation.

1 + 4h - 4h = 13h - 4h

1 = 9h

Finally, we Divide both sides by 9 to get h.

[tex]\frac{1}{9} = h[/tex]

h is equal to [tex]\frac{1}{9}[/tex].

To check your answer, we plug [tex]\frac{1}{9}[/tex] back into the given equation.

[tex]2 + 4(\frac{1}{9} ) - 1 = 13(\frac{1}{9} )\\\\\\\\2 + \frac{4}{9} -1 = \frac{13}{9} \\\\\\1 = \frac{9}{9} \\\\1 = 1[/tex]

I hope this helps!

#teamtrees #PAW (Plant And Water)

rename the mixed number as an improper faction

a. 3/5
b. 12/5
c. 2/6
d 7/5

Answers

Answer:

no

Step-by-step explanation:

Sonny has $75 to spend the night the new Nintendo switch game that he wants to buy requires $93 his parents had they will lend him the money if he can figure out how much he needs which integer below represents how much more money does he need to borrow
-18
+168
+18
+75​

Answers

Answer:

he needs 18 more dollars from his parents

Step-by-step explanation:

93-75=18 therefore he is missing 18 dollars

A triangle has three angles that measure 25 degrees, 75 degrees
(7x + 10). What is the value of x?

Answers

Answer:

x=10

Step-by-step explanation:

What is the value of x in the figure shown
URGENT PLS

Answers

Answer:

x is 19

Hope it helps!!!

Step-by-step explanation:

Help with #10 I’ll give brainleist.

Answers

Answer:

Step-by-step explanation:

A looks like the only good answer

The account is not decaying... or going down, it's going up at about 4.5% per year.    so the 5,000 is what is the initial investment,  and the  1.045 is the amount it's going up by,  where the exponent of  't'  is how many times it's going up

omg I do not understand this

Answers

Answer:

missing length is 8

Step-by-step explanation:

17^2 - 15^2 = 64

square root of 64 is 8

Answer:

8 inches

Step-by-step explanation:

Use the Pythagorean Theorem:

a²+b²=c²

15²+b²=17²

225+b²=289

b²=64

b=8

Therefore, the missing side is 8 inches long.

Need help with exponential functions for a test!!!!!

The growth of a certain organism can be modeled by C(t)=10(1.029)^24t, where C(t) is the total number of cells after t hours. Which function is approximately equivalent to C(t)?

1. C(t) =240(0.083)^24t
2. C(t)=10(.083)^t
3. C(t)=10(1.986)^t
4. C(t)= 240(1.986)^t/24

Answers

Given:

The function is:

[tex]C(t)=10(1.029)^{24t}[/tex]

Where, C(t) is the total number of cells after t hours.

To find:

The function that is approximately equivalent to C(t).

Solution:

We have,

[tex]C(t)=10(1.029)^{24t}[/tex]

It can be rewritten as:

[tex]C(t)=10(1.029^{24})^{t}[/tex]            [tex][\because (a^m)^n=a^{mn}][/tex]

[tex]C(t)\approx 10(1.986)^{t}[/tex]         [tex][\because 1.029^{24}\approx 1.986][/tex]

The function [tex]C(t)=10(1.986)^{t}[/tex] is approximately equivalent to C(t).

Therefore, the correct option is 3.

Answer:

c

Step-by-step explanation:

Find the value of x.
10
11
12
13

Answers

Answer:

11=x

Step-by-step explanation:

The range of a data set is 14. If the smallest number in the set is 24.

What is the largest number?

Answers

the answer is 38. bc 24 + 14 is 38 which is the largest number. so 38-24 = 14 which is the range.

Mai went to a store and brought 4 items. Each item cost the same. She spent $32. How much did each item cost?

Answers

Answer:8

Step-by-step explanation:devide 32 by 4

Help me frl :( I don't understand and this is worth 25 point I'm willing to do that

Answers

1.) 3(2c-4)+2c=8c-12
Step 1: Simply both sides of the equations.
8c-12=8c-12
Step 2: Subtract 8c from both sides.
8c-12-8c=8c-12-8c
-12=-12
Step 3: Add 12 to both sides
-12+12=-12+12
0=0
All real numbers are solutions.


2.) A=L•W
6•3x-2
= 18x-2
A= 18x-2

This quote came from _________. "He brought the cup to his lips and drank off the poison"

Answers

Answer:

Socrates

Step-by-step explanation:


Please help me,.........

Answers

Answer

19?

Step-by-step explanation:

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