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irga5000 [103]
3 years ago
11

ASAP PLS

Mathematics
1 answer:
VikaD [51]3 years ago
3 0
Man in gonna tell you something but it might be wrong. about 1 or 2 i think?? i'm not good at this
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Given the function h(x) =1/3 |x-6| +4, evaluate the function when x = - 3, - 2, and 0
Masja [62]

|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


6 0
2 years ago
Write as a unit rate: 36 gallons to 9 minutes *
Nataly_w [17]

Answer

36/9= 4

Step-by-step explanation:

This is a fraction equal to

36 gallons ÷ 9 minutes

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 9

36 gallons ÷ 9

9 minutes ÷ 9

=

4 gallons

1 minute

=

4 gallons

minute

= 4 gallons per minute

7 0
2 years ago
An 8-foot ramp needs to be elevated at an angle measuring 10° to be level with a step. Approximately how far
emmainna [20.7K]

Answer:

Approximately 7.9 feet.

Step-by-step explanation:

cos 10 = x / 8     where x is the required distance.

x = 8 cos 10

= 7.878 feet.

3 0
3 years ago
find the zeros of 2x^2 - 16x + 27 using the quadratic formula. be sure to simplify the expression. Can someone please show me ho
____ [38]
For a quadratic of the form f(x)=ax^2+bx+c, we have the quadratic formula 
x=\dfrac{-b \pm \sqrt{b^2 -4ac}  }{2a},
where a is the coefficient (number before the variable) of the squared term, b is the coefficient of the linear term, and c is the constant term.

So, given 2x^2-16x+27=0, we can get that a=2, \ b=-16, and c=27. We substitute these numbers into the quadratic formula above.

x=\dfrac{-(-16) \pm \sqrt{(-16)^2 -4(2)(27)} }{2(2)}

x=\dfrac{16 \pm \sqrt{(256 -216)} }{4}

x=\dfrac{16 \pm \sqrt{40} }{4}

x=\dfrac{16 \pm 2\sqrt{10} }{4}

x=4+ \frac{\sqrt{10}}{2}, \ x=4- \frac{\sqrt{10}}{2}

This is our final answer.

If you've never seen the quadratic formula, you can derive it by completing the square for the general form of a quadratic. Note that the \pm symbol (read: plus or minus) represents the two possible distinct solutions, except for zero under the radical, which gives only one solution.
8 0
3 years ago
Chelsea made 15 of the 28 recipes she downloaded from the Internet. What percent of the recipes did she make?
Elanso [62]
Hello there!

28 recipes .......> 100%
15 recipes .......> x%

Cross multiply
28x = 15*100
28x = 1500
x= 1500/28
x ≈ 53.5%

She makes 53.5% of the recipes.


I hope that helps!
5 0
3 years ago
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