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nevsk [136]
3 years ago
14

Given g(x) = x^2-x , find g(2/3). show work please

Mathematics
1 answer:
castortr0y [4]3 years ago
7 0
I hope this helps you



x=2/3



g (2/3)=(2/3)^2-2/3



g (2/3)= 4/9-2.3/3.3



g (2/3)=4/9-6/9



g (2/3)= -2/9
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Harold wrote this equation to model the level of water in a pool over time. The variable x represents time in hours. f(x) = 3,50
lina2011 [118]

Answer:

The water level is falling.

The initial level of water in the pool was 3,500 units

The water was 2,600 units high after 4 hours.

Step-by-step explanation:

The given function that models the water level is

f(x)=3,500-225x

where x represents time in hours.

The function represents a straight line that has slope m=-225

Since the slope is negative, it means the water level is falling.

The initial level of water in the pool can found when we put x=0 into the function.

f(0)=3,500-225(0)


f(0)=3,500, hence the initial level is 3,500.


To determine the level of water in the pool after 14 hours, we put x=14 into the equation to get;

f(14)=3,500-225(14)

f(14)=3,500-3150


f(14)=350


To determine the water level after 4 hours we put x=4

f(4)=3,500-225(4)

f(4)=3,500-900

f(14)=2,600


4 0
3 years ago
Read 2 more answers
Write the possible range for the measurement 47 cm ± 2.2%. Round to the nearest hundredth if necessary.
ad-work [718]

The range of possible values of the measurement is:

[45.97cm, 48.03cm]

<h3>Which is the possible range for the measurement?</h3>

Here we have the measurement:

measurement 47 cm ± 2.2%

The 2.2 percent of 47cm is:

47cm*( 2.2%/100%) = 47cm*(0.022) = 1.034 cm

Then the minimum of the measurement is:

47cm - 1.034cm = 45.97cm

The maximum of the measurement is:

47cm + 1.034cm = 48.03cm

we conclude that the correct option is the second one:

[45.97cm, 48.03cm]

If you want to learn more about ranges:

brainly.com/question/24326172

#SPJ1

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Nezavi [6.7K]
The pic is blurry, but looks like 18x²-21x-15
(3x-5)(6x+3) is the factored form. 
3 and 6 are the factors of 18
-5, 3 or -3, 5 are the factors of -15
I line them up like this
3   -5
6    3
then I multiple them diagonally: 3*3=9, -5*6=-30, the sum of 9 and -30 is exactly -21, the coefficient for x. (If the sum doesn't make -21, I'd switch -5 and 3, or change to -3 and 5 to try again.) 
so the factored form is (3x-5)(6x+3)


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The slope should be -1/2, because the line goes down 1 unit and then right 2 units.

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