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Oksanka [162]
4 years ago
14

If three times a number is increased by 24, the result is 4 less than seven times the number

Mathematics
1 answer:
densk [106]4 years ago
3 0
48 sorry if im wrong
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Find an equation of the tangent line to the curve,f(x) =1x2+ 1at (0,1) by using the limitdefinition of the derivative. (Dont use
Paraphin [41]

Answer:

y = 1.

Step-by-step explanation:

f(x) = x^2 + 1

We know that:

f'(x) =  \lim_{h \to 0}  \frac{f(x + h) - f(x)}{h}

replacing the function, we get:

f'(x) =  \lim_{h \to 0}  \frac{(x + h)^2 + 1 - (x^2 + 1)}{h} \\       =  \lim_{h \to 0}  \frac{(x + h)^2  - x^2}{h} \\\\       = \lim_{h \to 0}  \frac{x^2 + 2xh + h^2  - x^2}{h} \\\

Now we can simplify this to:

= lim_{h \to 0}  \frac{ 2xh + h^2 }{h}

and solving the quotient, we get:

=  lim_{h \to 0}   2x + h = 2x + 0 = 2x

then f'(x) = 2*x

And we want the equation for the tangent line at (0, 1)

The slope of that line will be:

f'(0) = 2*0 = 0

So this is a horizontal line, of the type y = a

And we know that this line must pass through the point (0, 1)

so we must have y = 1.

Then the equation of the tangent line to f(x) at the point (0, 1) is:

y = 1.

5 0
3 years ago
I need help on this
Luden [163]

Since X and Y axis are counting By 1 you can tell that The line is going up by 2 and over by 1

So the slope will be 2/1 or 2

8 0
3 years ago
What is the median of the data set: {92, 63, 22, 80, 63, 71, 44, 35}A)63B)80C)92D)35
coldgirl [10]

Answer: A: 63

Step-by-step explanation:

How i remember doing this, is that I put the numbers in ascending order (as in lowest to highest) and once I'm done i look for the middle number, so you have 22,44,63,63,71,80,92 it helps me by looking at the numbers on the right and left, or put them in groups, so we have 22,44,63 (that's one group) then we have 71,80,92 (that's another group) so the only number we have left is 63 the middle number, that's your answer :]

4 0
3 years ago
Read 2 more answers
If 6 workers take 700 hours to finish a project, how long will it take 12 workers to complete the same project?
frosja888 [35]

Answer:

<u>350 hours</u>

Step-by-step explanation:

You would do 700÷2 because it is half the time of the 6 workers who took 700 hours.

5 0
3 years ago
Need help with this asap. its an assesment!!
inessss [21]
1/2 is equal to a half 2/15 + 1/3 = 7/15 and 6/7 - 1/3 = 11/21
7/15 is closer to a half to does to 1/2
7 0
4 years ago
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