1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
schepotkina [342]
2 years ago
10

Given the function h(x) =1/3 |x-6| +4, evaluate the function when x = - 3, - 2, and 0

Mathematics
1 answer:
Masja [62]2 years ago
6 0

|x| = x for x ≥ 0

examples:

|3| = 3; |0.56| = 0.56; |102| = 102

|x| = -x for x < 0

examples:

|-3| = -(-3) = 3; |-0.56| = -(-0.56) = 0.56; |-102| = 102

--------------------------------------------------------------------------------

Use PEMDAS:

P Parentheses first

E Exponents (ie Powers and Square Roots, etc.)

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

--------------------------------------------------------------------------------

h(x)=\dfrac{1}{3}|x-6|+4

Put the values of x to the equation of the function h(x):

x=-3\to h(-3)=\dfrac{1}{3}|-3-6|+4=\dfrac{1}{3}|-9|+4=\dfrac{1}{3}(9)+4=3+4=7\\\\x=-2\to h(-2)=\dfrac{1}{3}|-2-6|+4=\dfrac{1}{3}|-8|+4=\dfrac{1}{3}(8)+4=\dfrac{8}{3}+\dfrac{12}{3}=\dfrac{20}{3}\\\\x=0\to h(0)=\dfrac{1}{3}|0-6|+4=\dfrac{1}{3}|-6|+4=\dfrac{1}{3}(6)+4=2+4=6


You might be interested in
The average show stays on Broadway for 2.4 years with a standard deviation of 1.5. What is the z-score of a show that runs for 2
balandron [24]
Z-scores are expressed in terms of standard deviations from their means. <span>The standard score is simply the score, minus the mean score, divided by the standard deviation. It is calculated as follows:

z = X- mean / standard deviation
z = 2.7 - 2.4 / 1.5
z = 0.2</span>
5 0
3 years ago
For which value of bb is x2+bx−60x2+bx-60 factorable over the set of integers
Ostrovityanka [42]
Hsjakakskskkskskd. because ypu never know athaysne s
3 0
3 years ago
Help! Thanks!!!!!!!!!
san4es73 [151]

1)

∠BAC = ∠NAC - ∠NAB = 144 - 68 = 76⁰

AB = 370 m

AC = 510 m

To find BC we can use cosine law.

a² = b² + c² -2bc*cos A

|BC|² = |AC|²+|AB|² - 2|AC|*|AB|*cos(∠BAC)

|BC|² = 510²+370² - 2*510*370*cos(∠76⁰) =

|BC| ≈ 553 m


2)

To find ∠ACB, we are going to use law of sine.

sin(∠BAC)/|BC| = sin(∠ACB)/|AB|

sin(76⁰)/553 m = sin(∠ACB)/370 m

sin(∠ACB)=(370*sin(76⁰))/553 =0.6492

∠ACB = 40.48⁰≈ 40⁰


3)

∠BAC = 76⁰

∠ACB = 40⁰

∠CBA = 180-(76+40) = 64⁰


Bearing C from B =360⁰- 64⁰-(180-68) = 184⁰


4)

Shortest distance from A to BC is height (h) from A to BC.


We know that area of the triangle

A= (1/2)|AB|*|AC|* sin(∠BAC) =(1/2)*370*510*sin(76⁰).

Also, area the same triangle

A= (1/2)|BC|*h = (1/2)*553*h.


So, we can write

(1/2)*370*510*sin(76⁰) =(1/2)*553*h

370*510*sin(76⁰) =553*h

h= 370*510*sin(76⁰) / 553= 331 m

h=331 m


4 0
3 years ago
Aaron’s boat travels 9 mile per hour in still water. The speed of the river is 4 miles per hour. How long will it take Aaron to
ella [17]

Answer:

who will answer??

Step-by-step explanation:

7 0
2 years ago
How does scale factor affect the change in area?​
MrRa [10]
<h3>Answer:</h3>

<u>It squares the amount you scaled it by.</u>

<h3>Step-by-step explanation:</h3>

For example, imagine that you had 2 by 2 square, and then you put it through a scale factor of 2.

Now each side length would be double of what it once was.

But when you multiply the new lengths together, the area would be of 4 times more.

(Original Equation)  2 * 2 = 4

(Scale Factor of 2)   4 * 4 = 16

So when the scale factor is made, the area would be squared to the multiple that you scaled it by.

<em>***A square root is a number times itself.</em>

<em>(eg): 3 * 3 = </em><em>9</em>

<em>        15 * 15 = </em><em>225</em>

<em>9 and 225 would be the square root in these problems.</em>

7 0
3 years ago
Other questions:
  • What are different ways to add two rational numbers and get a negative
    14·1 answer
  • A tube feeding formula contains 6 grams of protein per each 80 ml of the formula. If the patient needs 120 grams of protein per
    14·1 answer
  • There are 5 red socks, 2 white socks and 3 blue socks in a basket.  What is the probability of picking a pair of red socks?
    13·1 answer
  • What is the axis of symmetry for the graph of this equation?
    10·2 answers
  • Please help quickly! Thank you!
    6·2 answers
  • Bentley had $40 in birthday money in her piggy bank. She spent $10 on new flip-flops, then got $20 for her allowance and did not
    12·2 answers
  • PLEASE SOMEONE ANSWER THIS !!
    5·1 answer
  • If each side of a cube is doubled, its volume?​
    11·1 answer
  • Hhhfgdfhgfhtdfhsfhdgjdjdghfhdfjgfh
    6·1 answer
  • Brett is performing a hypothesis test in which the population mean is 310 and the standard deviation is 20. his sample data has
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!