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3 years ago

Identify intervals on which the function is increasing, decreasing, or constant. g(x) = 4 - (x - 6)2 (5 points)

Mathematics

1 answer:

leva [86]3 years ago

4 0

Answer:

g(x) is always decreasing

Step-by-step explanation:

Step 1: Distribute

g(x) = 4 - (2x - 12)

g(x) = 4 - 2x + 12

Step 2: Combine like terms

g(x) = -2x + 16

Since the line is linear and has a negative slope, it will always decrease when you input either a positive or negative x value. The output <em>y </em>will go lower.

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Kathleen bought 4 dresses that each cost the same amount and pair of jeans that cost $40. The items she bought cost a total of $

stepan [7]

Each dress would be $30 because, if you do 160-40 = 120 then 120 divided by 4 = 30. So that’s the answer 30

3 0

3 years ago

40: PLEASE HELP Write the equation that describes the line with slope=-6 and y-intercept=2 in slope intercept form. Example y=mx

mezya [45]

Answer:

y= -6x+2

Step-by-step explanation:

y=mx+b

Slope is also known/substituted by the variable m. Therefore we can come to the conclusion that m=-6.

y=-6x+b

Y-intercepts are substituted with the variable b. Therefore we can substitute the 2 as b, meaning b=2.

Leaving you with the final answer of:

y= -6x+2

5 0

3 years ago

Kirsten has 9 syrup containers from a local cafe. There are 6 milliliters of syrup per container.

ololo11 [35]

Answer: 54 mL

Step-by-step explanation:

Simply do 9(number of containers)*6(Syrup per container) to get 54 mL of syrup.

<em>Hope it helps <3</em>

3 0

3 years ago

HELP!! What is the approximate measure of angle x in the triangle shown?

Alex Ar [27]

<h3>Answer: D) 130.5 degrees</h3>

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Work Shown:

$c^2 = a^2 + b^2 - 2*a*b*\cos(C)\\\\10^2 = 5^2 + 6^2 - 2*5*6*\cos(x)\\\\100 = 25 + 36 - 60*\cos(x)\\\\100 = 61 - 60*\cos(x)\\\\100 - 61 = - 60*\cos(x)\\\\39 = - 60*\cos(x)\\\\\cos(x) = \frac{39}{-60}\\\\\cos(x) = -0.65\\\\x = \arccos(-0.65)\\\\x \approx 130.5416\\\\x \approx 130.5\\\\$

Note: I used the law of cosines. Make sure your calculator is in degree mode.

6 0

3 years ago

PLEASE!! I REALLY NEED HELP WITH THIS!!!

ioda

Do you have an example of what the "Constant of proportionality" would be for a different question?

7 0

3 years ago