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Novosadov [1.4K]

4 years ago

14

Use properties to find the sum or product 5x23x2

1 answer:

abruzzese [7]4 years ago

3 0

The properties of multiplication and addition to find the product and sum of these numbers 5 , 23 and 2.
<span><span>1.   </span>Commutative property of multiplication</span>
<span><span>a.   </span>5 x 23 x 2 = 230 = 23 x 5 x 2</span>
<span><span>
2.   </span>Associative property of multiplication</span> <span><span>
a.   </span>5 x (23 x 2) = 230 = (23 x 5) x 2</span>
<span><span>
3.   </span>Commutative property of addition</span> <span><span>
a.   </span>5 + 23 + 2 = 30 = 23 + 5 + 2</span> <span><span>

4.   </span>Associative property of multiplication</span> <span><span>
a.   </span>5 + (23 + 2) = 30 = (23 + 5) + 2</span>

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Simplify 2 to the 5 power to the fourth power over 3 to the second power

melisa1 [442]

I'm assuming you mean 2^(5)(4/3)(2).
So multiplying all of the powers together yields 2^(40/3)

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3 years ago

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Crazy boy [7]

Answer:

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3 years ago

Identify the zeros of the function f(x) = 4x2 − 8x − 1 using the Quadratic Formula. HELP ASAP!!

forsale [732]

$1+\dfrac{\sqrt{5}}{2},1-\dfrac{\sqrt{5}}{2}$

Step-by-step explanation:

The given equation is $4x^{2}-8x-1$

Let $a$ be the coefficient of $x^{2}$

Let $b$ be the coefficient of $x$

Let $c$ be the constant.

Then the roots α,β for the equation $ax^{2}+bx+c$ are $\dfrac{-b+\sqrt{b^{2}-4ac} }{2a},\dfrac{-b-\sqrt{b^{2}-4ac} }{2a}$

So,α= $\frac{-b+\sqrt{b^{2}-4ac} }{2a}=\frac{8+\sqrt{64+16} }{8}=\frac{8+4\sqrt{5}}{8}=1+\frac{\sqrt{5}}{2}$

β= $\frac{-b-\sqrt{b^{2}-4ac} }{2a}=\frac{8-\sqrt{64+16} }{8}=\frac{8-4\sqrt{5}}{8}=1-\frac{\sqrt{5}}{2}$ .

So the roots are $1+\frac{\sqrt{5}}{2},1+\frac{\sqrt{5}}{2}$

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3 years ago

Suppose that the derivable functions x=x(t) and y=y(t) satisfy xcosy=2.

ololo11 [35]

Applying implicit differentiation, it is found that dy/dt when y=π/4 is of:

a-) -√2 / 2.

<h3>What is implicit differentiation?</h3>

Implicit differentiation is when we find the derivative of a function relative to a variable that is not in the definition of the function.

In this problem, the function is:

xcos(y) = 2.

The derivative is relative to t, applying the product rule, as follows:

$\cos{y}\frac{dx}{dt} - x\sin{y}\frac{dy}{dt} = 0$

$\frac{dy}{dt} = \frac{\cos{y}\frac{dx}{dt}}{x\sin{y}}$

Since dx/dt=−2, we have that:

$\frac{dy}{dt} = -2\frac{\cos{y}}{x\sin{y}}$

When y = π/4, x is given by:

xcos(y) = 2.

$x = \frac{2}{\cos{\frac{\pi}{4}}} = \frac{2}{\frac{\sqrt{2}}{2}} = \frac{4}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = 2\sqrt{2}$

Hence:

$\frac{dy}{dt} = -2\frac{\cos{y}}{x\sin{y}}$

$\frac{dy}{dt} = -\frac{1}{\sqrt{2}}\cot{y}$

Since cot(pi/4) = 1, we have that:

$\frac{dy}{dt} = -\frac{1}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = -\frac{\sqrt{2}}{2}$

Which means that option a is correct.

More can be learned about implicit differentiation at brainly.com/question/25608353

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1 year ago

Pls I need help!!!Question 6 (Essay Worn 6 points) (06.03) 9(5x + 1) = 37 From the expression above, pronde an example of each o

Elenna [48]

Answer:

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5x=6.136-1

5x=5.136

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x=1.03

x=1

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3 years ago