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Elodia [21]
3 years ago
10

Who’s trying to help?

Mathematics
1 answer:
Montano1993 [528]3 years ago
5 0

Answer:

the first one is 185 over 24 in the exact form

Step-by-step explanation:

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How to find the length of the missing side
Vinil7 [7]
Use the pythagorean theorem
a = 12 
b = 5
c = unknown

a^2 + b^2 = c^2
12^2+5^2 = c^2
144 + 25 = c^2
169 = c^2
c^2 = 169
c = sqrt(169)
c = 13

The hypotenuse of the right triangle is 13 units

Answer: 13
5 0
3 years ago
Read 2 more answers
Consider the function f(x) = x3 − 4x2 + 2. Calculate the limit of the difference quotient at x0 = 3 for f(x).
m_a_m_a [10]
<h2>Part 1.</h2>

Answer: \boxed{f'(x)=3x^2-8x}

The limit of the difference quotient is simply the derivative, so we can express this as follows:

f'(x)=\underset{\Delta x\rightarrow0}{lim}\frac{\triangle y}{\Delta x}=\frac{f(x+\Delta x)-f(x)}{\Delta x}

So our function is:

f(x)=x^3-4x^2+2

Taking the derivative, we have:

f'(x)=3x^2-8x

So the correct option is:

\boxed{f'(x)=3x^2-8x}

<h2>Part 2.</h2>

Answer: \boxed{y=3x-16}

The equation of the line that passes through the same point can be found as:

y-y_{0}=m(x-x_{0})

Where x_{0}=3, so we need to find y_{0}. Plug in that x-value in the function we have:

y_{0}=f(3)=(3)^3-4(3)^2+2 \\ \\ y_{0}=-7 \\ \\ \\ So \ the \ point \ is: \\ \\ P(x_{0},y_{0})=(3,-7)

And the slope is:

m=f'(3)=3(3)^2-8(3) \\ \\ m=3

Then, the equation of the line is:

y-(-7)=3(x-3) \\ \\ \therefore y+7=3x-9 \\ \\ \boxed{y=3x-16}

<h2 /><h2>Part 3.</h2>

Answer: Shown below

As you can see below, the graph of the function of f is continuous. This is so because we have plotted a polynomial function whose domain is the set of all real numbers. So the function is defined at the point P(3,-7), so the derivative exists at this point, hence we can calculate a tangent line there. In conclusion, we get the graph shown below. The blue line is the tangent line while the red curve is the graph of f

3 0
3 years ago
Which expression represents the phrase?
nata0808 [166]

Answer:

b

Step-by-step explanation:

the step by step explanation is that because the word increase is the clave word just belive in me

8 0
4 years ago
Read 2 more answers
I) A new energy drink called
natali 33 [55]

Answer: Yes... 3.25*8=26 so the amount of money is exact

6 0
3 years ago
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Wyatt does 29 push-ups in the morning and 36 more push-ups in the evening. If he does the same number of push-ups every day of t
borishaifa [10]

Answer: 1,820 Pushups

Step-by-step explanation: 29+36=65

65 x 7 (days in a week)=455

455 x 4(as in the 4 weeks)=1,820 Pushups total

I hope this helped! let me know if you need more help! :)

6 0
3 years ago
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