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4 years ago

Solve 5y-3x=40 for y

Mathematics

1 answer:

Veseljchak [2.6K]4 years ago

7 0

It could be that X and Y both equal 5 5×11=55-15=40

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Use the four-step definition of the derivative to find f'(x) if f(x) = −4x^3 −1.

guapka [62]

$\stackrel{de finition \textit{ of a derivative as a limit}}{\lim\limits_{h\to 0}~\cfrac{f(x+h)-f(x)}{h}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{[-4(x+h)^3-1]~~ - ~~[-4x^3-1]}{h} \\\\\\ \cfrac{[-4(x^3+3x^2h+3xh^2+h^3)-1]~~ ~~+4x^3+1}{h} \\\\\\ \cfrac{[-4x^3-12x^2h-12xh^2-4h^3-1]~~ ~~+4x^3+1}{h} \\\\\\ \cfrac{-4x^3-12x^2h-12xh^2-4h^3-1+4x^3+1}{h}\implies \cfrac{-12x^2h-12xh^2-4h^3}{h}$

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7 0

2 years ago

A watermelon is launched from a 25-foot tall platform at a carnival. The watermelon's height h (in feet) at time t seconds can b

Nataly [62]

Answer:

The maximum height of the watermelon is 74 feet.

Step-by-step explanation:

The watermelon reaches its maximum height when its velocity is zero. Mathematically speaking, velocity is the first derivative of the function height, that is:

$v(t) = \frac{d}{dt} h(t)$ (1)

Where $v(t)$ is the velocity, in feet per second.

If we know that $h(t) = -16\cdot t^{2}+56\cdot t +25$ and $v(t) = 0\,\frac{ft}{s}$ , then the time associated with maximum height is:

$v(t) = -32\cdot t +56$ (2)

$-32\cdot t + 56 = 0$

$t = 1.75\,s$

Now we evaluate the function height at time found in the previous step: ( $t = 1.75\,s$ )

$h(t) = -16\cdot t^{2}+56\cdot t +25$

$h(1.75) = 74\,ft$

The maximum height of the watermelon is 74 feet.

5 0

3 years ago

Which is greater: 25% of 15 or 15% of 25? Explain your reasoning using algerbreaic representations or visual models

Bingel [31]

25% of 15 is the same as 15% of 25
25%=25/100
25% of 15=(25/100)15=(25*15)/100

15%=15/100
15% of 25=(15/100)25=(25*15)/100

Therefore:
25% of 15=15% of 25
because:
(25/100)15=(15/100)25
(25*15)/100=(25*15)/100
3.75=3.75

5 0

3 years ago

Please help mee to figure out who is right

lina2011 [118]

Let me see if I am correct I will get back to u

7 0

4 years ago

What is the difference between 3/7 and 1/14

Elza [17]

(3/7)-(1/14)=(6/14)-(1/14)=5/14

use LCD to get a like denominator, then just subtract

4 0

3 years ago