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padilas [110]
3 years ago
8

" title="what 60 twenty-fives minus 1 twenty five \\in word from" alt="what 60 twenty-fives minus 1 twenty five \\in word from" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Papessa [141]3 years ago
4 0
I think it’s uh lster
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For the function f(x) = 6x+1 , evaluate and simplify the difference quotient
Oksi-84 [34.3K]

For a given function f(x), we define the difference quotient as:

\frac{f(x + h) - f(x)}{h}

We will get that the difference quotient is equal to 6.

Here we have the function:

f(x) = 6*x + 1

The difference quotient will be:

\frac{f(x + h) - f(x)}{h} = \frac{6*(x + h) + 1 - (6*x + 1)}{h}

Now let's simplify it:

\frac{6*(x + h) + 1 - (6*x + 1)}{h}  =  \frac{6*x + 6*h + 1 - 6*x - 1}{h}  = \frac{6*h}{h} = 6

Now, we also are asked to evaluate it, but as you can see, the <u>difference quotient is constant</u>, thus we can't actually <u>evaluate it, as it will always be equal to 6.</u>

<u />

If you want to learn more, you can read:

<u>brainly.com/question/18270597</u>

<u />

7 0
3 years ago
"in 2012, total u.s. bottled water consumption increased to 9.67 billion gallons, up from 9.1 billion gallons in 2011. in fact,
Maru [420]

Using proportions, it is found that the estimate of the the per capita consumption from 2011 was of 29.25 gallons.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The amount in 2012 was a increase of 5.3% from 2011, that is, 105.3% = 1.053 of x, and the consumption per capita was of 30.8 gallons, hence:

1.053x = 30.8

x = 30.8/1.053

x = 29.25 gallons.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

7 0
2 years ago
104 tests is what % of 160 tests
Afina-wow [57]
160 test=100%

Therefore:

160 test------------------100%
104 test------------------   x
x=(104 test*100%) / 160 test=65%

Answer: 104 test is the 65% of 160 test
8 0
3 years ago
Find the distance between (2,3) and (5,8)
Orlov [11]
Use pythagorean theorem
a^2+b^2=c^2

first find the difference of between the 2 points to find the legnth of the legs

distance between 2 and 5=3
distance between 3 and 8=5 so


3^2+5^2=c^2
9+25=c^2
34=c^2
√34=c

the ligit formula is
c= \sqrt{(x1-x2)^2+(y1-y2)^2}

6 0
3 years ago
Please help with math question!!
mihalych1998 [28]
The answer to this problem is C.
Here's why:
The area of a triangle = 1/2 * (base) * (height) (Note: a triangle is half of a rectangle, and rectangles have Area = (base) * (height)) 

<span>Because the base of ΔAED is half of ΔACB (2 = (1/2) * 4), and height of ΔAED is half of ΔACB (3 = (1/2) * 6), we know that the area of ΔAED will be half of ΔAED. 
</span>
So, it's C. I am sure =)
If it helped you, please mark me brainliest! =D
Have a nice day!

5 0
3 years ago
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